INTERNATIONAL TABLES

for CRYSTALLOGRAPHY

Volume G

Definition and Exchange of Crystallographic Data

At the Warsaw Congress of the International Union of Crystallography in 1978, the Data and Computing Commissions of the Union appointed a working party to propose a standard file structure for crystallographic data. The working party submitted its report at the 1981 Congress of the Union in Ottawa. The report was adopted by the Commissions with a recommendation to all authors of crystallographic programs that they write their programs so that they can read and write files with this structure. The Standard Crystallographic File Structure, version of 1981 (SCFS-81), was published in Acta Crystallographica (1983), A39, 216-224.  Revised versions of the format were issued in 1985 and 1987. The text of the 1987 revision to the standard is given below.

c                                                                      
c       Standard Crystallographic File Structure - 87
c       ----------------------------------------------
c
c   
c    This file contains a description of the Standard Crystallogrphic
c    File Structure - 87 and is preceeded by a program that will format
c    the file for printing on a line printer.   The program should be
c    detached (and edited if necessary).  The rest of the file should
c    then be used as an input to this program.
c
c
      Program Scfspt
c
c      A PROGRAM FOR FORMATING THE SCFS MANUAL FOR PRINTING
c      ----------------------------------------------------
c  This program is designed to format the SCFS Description manual for printing.
c  Separate this section of code from the main file, make the necessary
c  changes to the OPEN and CLOSE statements for your machine, compile and
c  run the program.  The output will be formated for printing.
c
      Character*80 Line
      Character*4  Form
      Data Form /''/
      l=1
      Open(unit=13,file='SCFS87.MAN',status='OLD')
      Open(unit=14,file='SCFS87.LIS',status='NEW')
 100  Read(Unit = 13, Fmt ='(A80)', End = 200) Line
      if (Line(1:4).eq.Form) then
        l=l+1
        Write(Unit = 14, Fmt ='(''1'',59X,I3,/)') l
      else
        Write(Unit = 14, Fmt = '(20X,A80)' ) Line
      endif
      Go to 100
 200  Write(Unit = 14, Fmt = '(''1''//)')
      Close(unit=13)
      Close(unit=14)
      Stop
      End






 
 

 

 
 
     
                       -- SCFS-87 --
     
          STANDARD CRYSTALLOGRAPHIC FILE STRUCTURE-87                         2
     
                   (Supersedes SCFS-84)                                       2
     
* The original version of this standard together with background information
on its purpose and philosophy was published in Acta Cryst. (1983) A39, 216-224
as SCFS-81.  A second version (SCFS-84) became available in 1985 (Acta Cryst. 2
(1985) A41, 399).                                                             2
     
* Changes introduced in SCFS-84 are indicated by '1' in the right hand margin 1
  Changes introduced in SCFS-87 are indicated by '2' in the right hand margin 2
     
Approved by the Data and Computing Commissions                            
of the International Union of Crystallography
     
     
Project Coordinator:  Dr. I. D. Brown
Institute for Materials Research
McMaster University, Hamilton
Ontario, Canada, L8S 4M1
NetNorth Network Address  "1002332@MCMASTER"

A program to read data in the SCFS87 format may be obtained from 
Dr H.D.Flack, University of Geneva, Switzerland ([email protected])

     

Contents                                                               Contents 
 
 

     
                          C O N T E N T S
                          ---------------
     
1.  Introduction
2.  Transfer Medium
3.  Data Structure
4.  Formats
     
     Sections required for file management (must be present)
     
4.1.1   TITLE
4.1.2   END
     
     Sections giving commonly used crystallographic data
     
4.2.1   CELL DIMension
4.2.2   SG NAME             Space group symbol                                1
4.2.3   SYMMETRY            Space group symmetry operators
4.2.4   ATOMS               Atomic coordinates and other atomic data          1
4.2.5   FORM FACtor         Atomic scattering factors
4.2.6   HKL                 Structure factors, powder patterns
4.2.7   CONDITIOns          Experimental conditions
4.2.8   FORMULA             Chemical formula
4.2.9   REFERENCe           Literature citations
4.2.10  REMARK              Unstructured text
4.2.11  BONDS               List of bonds                                     1
4.2.12  CONNECTIon          Interatomic connections                           2
4.2.13  CRYSTAL             Crystal parameters                                2
4.2.14  COMMENTS            Structured text                                   2
     
     Sections giving the basic data in compact form
     
4.3.1   ATOM COOrdinates
4.3.2   HKL PACK            Structure factors
     
     Sections of interest to protein crystallographers
     
4.4.1   ATOM MACromolecule  Atomic coordinates
4.4.2   ORTHOGONal          Transformations for atomic coordinates
4.4.3   HKL PROTein         Structure factors
4.4.4   ANIS MACromolecule  Anisotropic atomic displacement parameters        2
4.4.5   CONN MACromolecule  Connectivity                                      2
     
     Sections defined in earlier standards and now superseded
     
4.10.1  SPACE GRoup                                                           1
4.10.2  ATOM                                                                  1
4.10.3  CONDITIOns:blank                                                      2
4.10.4  FORM FACtor:blank                                                     2

5.  Appendix I -- Sample of a Standard Crystallographic File

1.Introduction                                                 Introduction 1.  
 
     
Standard Crystallographic File Structure-87
-------------------------------------------
     
1.  Introduction
     
The purpose of the Standard Crystallographic File Structure is to             1
assist in the exchange of crystallographic data between laboratories and to   1
make it easy for the same data to be used as input to different programs.  It 1
is expected to be the standard used by the journals of the International Union1
of Crystallography when they are ready to accept papers in machine readable   1
form.  The present version is capable of containing the complete text of a    2
paper as well as all the information normally required by Acta Cryst. C       2
for the publication of a crystal structure.                                   2
The File Structure has been designed to include all types of                  1
crystallographic data, to be compatible with all types of computers, to be    1
easy to program for both reading and writing and to give a listing that is    1
easy to read visually.                                                        1
     
Since there are many possible uses to which such a file may be put            1
(e.g. transfer of protein structures or the archiving of mineral powder       1
patterns), the only information that must be included in the file is that     1
needed for file management.  With a few exceptions, the absence of a datum    1
from a particular field implies that the datum was not available or was not   1
needed for the present purpose.                                               1
     
The file structure has been designed to allow for extension to new            1
types of data as the need arises.  Anyone who has needs that are not met by   1
the current standard is invited to contact the project coordinator whose name 1
appears on the title page.
     
This standard supersedes the SCFS-81 standard published in Acta Cryst.        1
(1983) A29, 216-224 and the SCFS-84 standard (Acta Cryst. (1985) A41, 399)    2
     
2.  Transfer Medium
     
The file may be transferred by any acceptable medium.  Unless otherwise
specified by the user, the following conventions will be assumed (some common
alternatives are included in parentheses).
     
Cards
     
Standard 80 column IBM cards punched using the 029 (026) punch convention.
     
Magnetic Tape
     
9 track, 800 bits per inch (9 track 6250 or 1600 bpi or 7 track 800 bpi).     2
Unlabelled.  USASCII/7 (EBCDIC):  80 characters/record; 45 records/block,
blank filled if necessary (unblocked).
     
3.    The Data Structure of a Standard Crystallographic File
     
For simplicity, the file is described in terms of card images but without
implying that it must physically exist in the form of cards.  A sample file is
given in Appendix I.

3.1 Data Structure                                          Data Structure 3.1
     
     
3.1   A file consists of entries, each entry being logically independent of
other entries.  An entry normally will consist of data referring to one
crystalline phase.  Each entry begins with a TITLE card and ends with an
END card.
     
3.2   An entry consists of a number of sections each including data of a
particular type, e.g. atomic coordinates or structure factors.  Each
section begins with a Header Card and ends with an End of Section (EOS)
Card (any card with * in col.1).  The End of Section card ensures that
the program is ready to read the next card as a Header.
     
3.3   Each section consists of formatted cards (or lines) containing 80
characters (including blanks).  5 characters at the end of each card are
reserved for card sequence numbers.  Sequence numbers should be integers      1
(I5) and, if used, should be arranged so that the cards in the entry are      1
in the correct order when sorted on increasing value of the sequence          1
number.                                                                       1
     
3.4   The character set is restricted to upper and lower case letters, numbers1
and ASCII symbols between 20 HEX (' ') and 7A HEX ('z') inclusive but users   1
are reminded that the 46 characters 0-9 A-Z , . + - * / ( ) = blank are the   1
only ones available on all machines.  Numbers are expressed as integers       1
or real numbers using FORTRAN conventions, that is a decimal point appearing  1
in a real number takes precedence over the format as given, if no decimal     1
point is given, one is assumed according to the format specification.         1
To avoid confusion, it is recommended that the decimal point be included      2
except for Fn.0 formats where integers are acceptable.  If a number is        2
too large or too small to fit into the field, the optional E format may be    2
used as this can be read in FORTRAN using an F format.                        2
     
3.5   Cards are of two types:
     
(a)  Header Cards are used to start a new section.  The first 8
characters indicate the format of the following data cards and in some
cases the information that is to be found on them.  In addition,
each header card may contain comments, such as alphanumeric column
headings to help visual reading (see Appendix I).
     
(b)  Data Cards contain the data specified by the most recently read
header card.  An asterisk (*) in column 1 indicates the last card in
the section.
     
3.6   Most data cards begin with the following three fields:
     
(a)  EOS (End of Section) Col. 1
This must be an asterisk (*) on the last card of each section,
otherwise any other legal character (normally blank) may appear in
this field.  The end-of-section card may be a normal data card but
in sections with a card identifier a special end of section card may
be used containing *EOS in columns 1-4 and columns 5-75 blank.

3.6 Data Structure                                           Data Structure 3.6

 
(b)  CID (Card Identifier) Col 2-5
Within each section, the format of all the data cards is the same
but in most sections the type of information stored on the card may
be different.  In these sections, each card contains a card identifier
(CID) whose value determines the type of information carried
(e.g. in the HKL section, the value of CID will determine whether
the card contains intensities, calculated structure factors or
powder data).  CID uses an A4 field and is left justified.  The last
card of any section may have "EOS " as a card identifier.  No other
data should appear on a card with CID = "EOS ".
     
(c)  DSK (Data Set Key) Cols. 6-9
Most cards also include a Data Set Key (DSK) which allows the user
to associate different data together.  For example, the user may
wish to include data from several experiments in the same entry
(e.g. data from  x-ray and neutron diffraction experiments, or data
for a native protein and several of its isomorphs).  Cards from the
different experiments would carry different values of DSK but could
appear together within the same section (e.g. the structure factors
of several isomorphs for a given reflection can be grouped
together).  DSK may contain any legal characters chosen by the user.
Any card on which DSK is blank is assumed to contain data that
applies to all the data sets included in the entry.
     
3.7   Header cards that cannot be interpreted are to be ignored.  Some
consequences are:
     
i)   Blank cards may be used to separate sections for visual effect.
     
ii)  The presence of an incorrect header may result in problems during
reading of the file since cards will be ignored until an interpretable
header is found.
     
iii) Instruction or data cards for a user's program can be added to a
file provided they do not mimic legal header cards.  This can be
ensured by using a character other than a letter or blank in columns
1-8.
     
iv)  Comments can be inserted between sections providing that columns 1-8
do not mimic header cards (e.g. if they are left blank).  Unlike
comments included in the COMMENTS or REMARK section, these comments may not   2
be read by a user's program and should be used with care.
     
3.8   Data cards that cannot be interpreted should be avoided.  Since these
will be read with a fixed format read statement, they could cause a fatal
read error.   Fields that are undefined in the present standard should be     2
left blank as these may be defined in future releases.                        2
     
3.9   Sections may follow each other in any order, and the same section may be
included any number of times within an entry but where the file contains
duplicate information (e.g. two sets of cell dimensions) the values
appearing latest in sequence are the values to be used.

3.10 Data Structure                                        Data Structure 3.10

     
3.10  No default values are assumed except where noted below.  If a field     2
is blank, it is assumed that the data is not available or not required.       2
However, most computers will read a blank numeric field as zero.  Where       2
this is likely to be confused with a non-defaulted value of zero, provision   2
is made for a defaulted field to be indicated in a different manner, usually  2
by filling it with '9's.                                                      2
     
3.11  When writing a program to read a standard file it is only necessary to  1
arrange to read those sections that contain data needed by the program.       1
If the program is written to ignore any header cards that it does not         1
recognise, all the cards in an unrecognised section will be automatically     1
skipped.  Only when a recognised header is once again encountered will        1
the program resume reading data.  Care should be taken to check for           1
defaulted numeric fields, particularly those that are set to their            1
maximum value.                                                                1
     
3.12  When writing a program to write a standard file it is only necessary to 1
arrange to write sections for which data are available.  In many cases a      1
defaulted value can be written as zero but in cases where the parameter       1
being defaulted might legitimately have the value of zero (e.g. h, k          1
or l) the field defaulted should be given the maximum value allowed by        1
the format (e.g. see section 4.3.2 below).                                    1
     
4. Formats for the Standard Crystallographic File Structure-87
--------------------------------------------------------------
     
Each section starts with the Header Card shown.  The first eight
characters are reserved for an alphabetic section name.  Otherwise the card may
contain any alphanumeric characters.  All the other cards in the section
are data cards and have the format shown.  The last card in each section must
have an asterisk in column 1.  Columns 76-80 on all cards are reserved for a
card or line sequence number.  The TITLE and END cards must appear in all
entries.  Other sections may be included as required by the user.  Unless
otherwise stated, all microscopic dimensions (a,b,c,lambda) are in Angstrom
units, all macroscopic dimensions are in mm, all angles in degrees and
temperatures in Kelvin.
     

------------------------------------------------------------------------------
******************************************************************************
4.1    SECTIONS REQURIED FOR FILE MANAGEMENT                               4.1
******************************************************************************
------------------------------------------------------------------------------
     
*****************************
4.1.1  TITLE    (A1, A66, A8)
*****************************
     
This must be the first card of any entry.
     
     
Col.    Format
     
1       A1        EOS     * This section may only contain 1 card and must
                           therefore have an asterisk in column 1.
2-67    A66               Name of compound or other identification.
                          Use only one card.
                          This information may also be repeated in columns
                           9-75 of the header card to allow visual
                           identification of a card deck.
                          Chemical names may also be given in the COMMENTS    2
                           section (4.2.14).                                  2
68-75   A8                Entry code chosen by the user to distinguish
                          different entries in a multi-entry file.  This
                          field allows the user to identify and select
                          the entry in which he or she is interested.  Any
                          legal characters are allowed in this field.
     
A TITLE card will start a new entry only at the beginning of the file         1
or immediately following an END section.  A TITLE section occurring in any    1
other position will presumably overwrite the title in the current entry.      1
     
*************
4.1.2  END
*************
     
This must be the last card of any entry.  No data cards follow the END
header.
     

-------------------------------------------------------------------------------
*******************************************************************************
4.2    SECTIONS GIVING COMMONLY USED CRYSTALLOGRAPHIC DATA                  4.2
*******************************************************************************
-------------------------------------------------------------------------------
     
*************************************************
4.2.1  CELL DIMension (A1, 2A4, 1X, 6F10.4, F5.0)
*************************************************

Col.    Format
1       A1        EOS     * on the last card of the section.
2-5     A4        CID     Card Identifier:CELL(or blank),ERRS,VOL,PHYS or EOS 2
6-9     A4        DSK     Data Set Key(see section 3.6(c))
10      1X
11-20   F10.4     x1      |                                                   2
21-30   F10.4     x2      |                                                   2
31-40   F10.4     x3      |Parameters whose value depends on the CID          2
41-50   F10.4     x4      |             (see below)                           2
51-60   F10.4     x5      |                                                   2
61-70   F10.4     x6      |                                                   2
71-75   F5.0      x7      |                                                   2
     
CID     Value of parameter
---     ------------------
CELL    Cell dimensions. The use of CELL is recommended in preference to blank2
or blank
        x1  A       |Unit cell lengths in Angstrom units. All values must
        x2  B       |be given.  This unit cell must correspond to the
        x3  C       |setting given in SG NAME (Section 4.2.2)
        x4  ALPHA   |
        x5  BETA    |Unit cell angles in degrees. All values must be
        x6  GAMMA   |given.
        x7  Z       The number of the formula units given in the FORMULA
                     section (4.2.8) contained in the unit cell given here.
     
ERRS    x1-x6       Errors in the corresponding cell constants given above
     
VOL     Cell Volume and related data                                          2
                                                                              2
        x1  VOL     Volume of unit cell (cubic Angstroms)                     2
        x2  EVOL    Error in volume of unit cell                              2
        x3  FW      Formula weight contained in VOL/Z                         2
                                             -3                               2
        x4  DC      Calculated density (mg.mm  )                              2
        x5-x7       Undefined                                                 2
                                                                              2
PHYS    Physical measurements concerning the unit cell                        2
                                           -3                                 2
        x1  DM      Measured density (mg.mm  )                                2
        x2  SIG(DM) Standard error in density                                 2
        x3  TEMP(DM)Temperature of density measurement                        2
        x4-x7       Undefined                                                 2
     
EOS                 End of section. No data given on this card.

*******************************************
4.2.2  SG NAME (A1, 2A4, 1X, A24, 3I5, 26X)                     SG NAME 4.2.2 2
*******************************************                                   1
                                                                              1
                                                                              1
Col.    Format                                                                1
                                                                              1
1       A1        EOS     * on the last card of section                       1
2-5     A4        CID     Card Identifier: LATT, HERM, HALL, SCHN, SYST       2
                                           or EOS.                            2
6-9     A4        DSK     Data Set Key (see section 3.6(c))                   1
10      1X                                                                    1
11-34   A24       SG      Space group name or other data in appropriate       1
                               form (depending on CID)                        1
35-39   I5        i1      |                                                   2
40-44   I5        i2      | Parameters whose value depends on CID             2
45-49   I5        13      |                                                   2
50-75   26X               Undefined                                           1
                                                                              1
                                                                              1
CID     Value of parameter                                                    1
---     ------------------                                                    1
                                                                              1
LATT    Parameters to be used in conjunction with the symmetry operators      2
         listed in the SYMMETRY section (4.2.3)                               2
                                                                              2
        11      A1        CENT    'C' or '-' if there is a center of symmetry 2
                                            at the origin                     2
                                  'N' or '+' if there is no center of symmetry2
                                            at the origin. If CENT is blank   2
                                            'N' is assumed                    2
        12      A1        LT      Lattice type (P,A,B,C,F,I,H or R).          2
                                   Use H or R for the hexagonal setting of a  2
                                   rhombohedral space group, P for the        2
                                   rhombohedral setting                       2
                                   If LT is blank 'P' is assummed             2
        35-39   I5   i1   NS      Number of symmetry operators other than     2
                                   those involving inversion through the      2
                                   origin and lattice centering operations    2
        40-44   I5   i2   MS      MS*NS = number of symmetry operations       2
                                   required to generate the contents of the   2
                                   unit cell given in the CELL section        2
        45-49   I5   i3           Number of symmetry matrices having an       2
                                   identical pattern of zeros                 2
                                                                              2
               NOTE:  The LATT card is to be used in conjunction with the     2
               the SYMMETRY section (4.2.3). The full set of symmetry         2
               operators can be generated by multiplying each of those listed 2
               in the SYMMETRY section by the inversion operator if           2
               CENT = 'C' or '-' and adding the translations indicated        2
               by LT to the results.                                          2
               If all the symmetry operators are given explicitly in the      2
               SYMMETRY section (as might be required if the CONNECTION       2
               section (4.2.12) is used) the LATT card is not required.       2

4.2.2 SG NAME                                                   SG NAME 4.2.2

                                                                              2
HERM    11-22   A12       SG      Hermann-Mauguin space group symbol for the  1
                                  setting actually used (see note below).     1
        23-26   A4        X0      |Origin shift in the form 1/8 -3/8 1/4 etc. 1
        27-30   A4        Y0      |(4 characters per axis, right justified).  1
        3l-34   A4        Z0      |This describes a vector from the           1
                                  |origin given in the standard               1
                                  |(International Tables) setting to the      1
                                  |origin of the cell used in the             1
                                  |description of the structure.  The         1
                                  |axis system in which the vector is         1
                                  |given is that defined in the field SG      1
                                  |above.                                     1
        35-75   41X               Undefined.                                  1
                                                                              1
HALL    Hall space group symbol for the setting used as described in          1
        Acta Cryst. A37 517-525 (1981).  Note: use only upper case            1
        letters, the minus sign preceeds the character it refers to,          1
        leave a space before each rotation symbol (i.e. between               1
        character groups belonging to different axes), superscripts           1
        immediately follow the number, subscripts follow superscripts         1
        (if given), e.g. -P 2YN; -P 2AC 2N; P -2 2.                           1
        This form of the space group symbol is designed to be machine         2
        interpretable and can be used to define unambiguously the choice      2
        and setting of any space group.                                       2
SCHN    Schoenflies symbol.  Give subscript first followed  by slash and      1
                          3                                                   1
        superscript e.g. C   = C4H/3                                          1
                          4h                                                  1
SYST    Crystallographic system = TRICLINIC or ANORTHIC                       2
                                  MONOCLINIC                                  2
                                  ORTHORHOMBIC                                2
                                  TETRAGONAL                                  2
                                  TRIGONAL                                    2
                                  HEXAGONAL                                   2
                                  RHOMBOHEDRAL                                2
                               or CUBIC                                       2
EOS     End of section. No data given on this card.                           1
                                                                              1
Note:  If there is a discrepancy between the space group symbol
       and the operators given in the SYMMETRY section, the
       SYMMETRY section takes precedence.

4.2.2 SG NAME                                                    SG NAME 4.2.2
     
Note on the Definition of the Hermann-Mauguin Space Group Symbols
-----------------------------------------------------------------
It is not possible to calculate the symmetry operators unambiguously from 
the traditional Hermann-Mauguin symbol for all possible settings.  The 
following set of rules for writing Hermann-Mauguin symbols is designed
to remove this ambiguity and is compatible with a number of currently used
programs that generate symmetry operators from the space group symbol.
Alternatively the symmetry operators may be given explicitly in the SYMMETRY
section (4.2.3) or the Hall space group symbol corresponding to the setting
used may be given.  The latter is recommeded since the Hall symbol has been
explicitly designed for computer use.   Care should be taken in writing the 
Hermann-Mauguin symbol to ensure that it is compatible with the programs 
that will be used to read it.

Give the symbol in the short form given in International Tables for
(X-Ray) Crystallography Volume I or Volume A with the following conventions.
     
l.   Left justify the space group symbol.
2.   Leave a space after the lattice type.
3.   Leave a space between the symmetry symbols referring to the different
directions.
           _
4.   Write 4 as -4 etc.
5.   Write 2  as 21 etc.
            1
6.   Where alternative standard settings are given in International Tables the
following conventions are assumed:
(a)   For monoclinic space groups the b axis setting is assumed unless
otherwise indicated, e.g.:
     
P 21/N    = P 1 21/N 1   (b axis setting)
P 1 1 21/N               (c axis setting)
P 21/N 1 1               (a axis setting)
     
(b)   In centrosymmetric space groups the setting with the origin at a
center of symmetry is assumed unless an origin shift is given in
columns 23-34.
(c)   For rhombohedral space groups the setting depends on the form in
which the CELL DIMensions are given.
     
7.   If the Hermann-Mauguin symbol is not the same as that given in
International Tables, a cyclic permutation of axes is assumed in any case
where there is an ambiguity e.g. P2 22.  Other permutations can be
                                   1
achieved through an origin shift.
     
8.   Any other setting can be obtained by a suitable shift of the origin as
given in columns 23-34.

****************************************************************              2
4.2.3  SYMMETRY  (A1,2A4,A1,2(3I2,F10.7,4X),3I2,F10.7,A3,2I2,2X)        4.2.3 2 
****************************************************************              2
     
Col.    Format
     
1       A1        EOS     * on the last card of the section
2-5     A4        CID     Card Identifier: SYOP (or blank), SPOS, TWIN or EOS 2
6-9     A4        DSK     Data Set Key (see section 3.6(c))
     
10      A1        a1      |                                                   2
11-12   I2        W11     |
13-14   I2        W12     |
15-16   I2        W13     |
17-26   F10.7     w1      |
27-30   4X                | Parameters whose value depends on the
31-32   I2        W21     |           CID
33-34   I2        W22     |
35-36   I2        W23     |
37-46   F10.7     w2      |
47-50   4X                |
51-52   I2        W31     |
53-54   I2        W32     |
55-56   I2        W33     |
57-66   F10.7     w3      |
67-69   A3        a2      |                                                   2
70-71   I2        i1      |                                                   2
72-73   I2        i2      |                                                   2
74-75   2X                                                                    2

       W and w define a Seitz matrix of the following form:                   2
       The transformed coordinates (x',y',z') are related to those (x,y,z)
       given in the ATOMS cards (x,y,z) by
     
             x' = W11.x + W12.y + W13.z + w1
     
             y' = W21.x + W22.y + W23.z + w2
     
             z' = W31.x + W32.y + W33.z + w3
     
CID     Value of parameters
---     -------------------
     
SYOP    Used for giving the symmetry operators of the space group.            2
or blank       The use of SYOP is recommended in place of blank               2
               NOTE:  The SG NAME:LATT (section 4.2.2) is used in conjunction 2
                with this section.                                            2
               If either CENT or LT is given in SG NAME:LATT                  2
                the corresponding symmetry operators should NOT be given here 2
               If operators are used in the CONNECTIon section (4.2.12) it    2
                may be necessary to give all operators explicitly             2
     
        a1          Undefined
        W and w     Seitz matrix for a symmetry operator

4.2.3 SYMMETRY                                                  SYMMETRY 4.2.3

        a2  ASYM    User defined symmetry operator identifier corresponding   2
                       to that used in the CONNECTIon section (4.2.12)        2
                       In the event that the symmetry operators are generated 2
                       algorithmically, these identifiers may be sequence     2
                       numbers in an ordered list of operators generated by   2
                       the algorithm.   In this case it may be useful to use  2
                       the COMMENTS:SYOP section (4.2.14) to specify the      2
                       algorithm used.                                        2
        i1-i2       Undefined
     
       In the event of a disagreement between the SG NAME and SYMMETRY
       sections, the information in the SYMMETRY section will be assumed
       correct.  The operators given here must correspond to the unit cell
       given in CELL DIMensions (Section 4.2.1) and the coordinates given in
       ATOMS (Section 4.2.4), ATOM COOrdinates (Section 4.3.1) or ATOM        1
       MACromolecule (Section 4.4.1). They must also correspond to the values 2
       given for CENT and LT in SG NAME:LATT (Section 4.2.2)                  2
                                                                              2
SPOS    Used for giving coordinates of special positions
                                                                              2
        a1  WYCK    Wyckoff letter of the special position                    2
        W and w     The coordinates of the special position expressed as      2
                      a Seitz matrix so that x',y',z' are the coordinates     2
                      of the special position and x,y,z are free variables.   2
        a2  ASPS    User defined identifier for the special position          2
                       See note on ASYM above.  The algorithm used may be     2
                       given in the COMMENTS:SPOS section (4.2.14)            2
        i1  MULT    Multiplicity of the special position                      2
        i2          Undefined                                                 2
                                                                              2
TWIN    Used for specifying twin relationships                                2
                                                                              2
        a1          Undefined                                                 2
        W           If the coordinates in the crystal are x,y,z the           2
                      coordinates in the twin component are x',y',z'          2
                      Note that the matrix that transforms the Miller indices 2
                      is the transpose of W                                   2
        w           Undefined                                                 2
        a2  ATWIN   User defined twin identifier (see the CRYSTAL:TWIN        2
                      section (4.2.13))                                       2
        i1          Undefined                                                 2
        i2          Undefined                                                 2
     
EOS                   End of section. No data given on this card.
     

*************************************************************                 1
4.2.4  ATOMS     (A1, 2A4, A2, A6, 6F8.5, I3, A1, 1X, A4, I1)     ATOMS 4.2.4 1
*************************************************************                 1
                                                                              1
                                                                              1
Col.    Format                                                                1
                                                                              1
1       A1        EOS     * on the last card of section.                      1
2-5     A4        CID     Card Identifier:  ATCO, ATCE, UALL, UALE,           2
                          UIJ, UIJE, CHEM, BETA, BIJ, BETE, BIJE,             2
                          or EOS.                                             1
6-9     A4        DSK     Data Set Key      (see section 3.6(c))              1
10-11   A2        AN      atom name,       |These fields are used             1
                          normally an      |to associate data which           1
                          element symbol   |appear on different cards         1
                          left justified.  |but refer to the same atom.       1
                          (Iodine = I      |AN can be any omitted if          1
                          not J)           |only ATCO cards are used and      1
                                           |AT is given.  If more than        1
12-17   A6        AI      atom identifier, |one ATOMS card refers to the      1
                          any legal        |same atom (e.g. ATCO and          1
                          characters.      |ATCE) then AN (and AI if          1
                                           |necessary) must be given.         1
18-25   F8.5      x1      |                                                   1
26-33   F8.5      x2      |                                                   1
34-41   F8.5      x3      |                                                   1
42-49   F8.5      x4      |Parameters whose value depends on CID              1
50-57   F8.5      x5      |(see below)                                        1
58-65   F8.5      x6      |                                                   1
66-68   I3        i1      |                                                   1
69      A1        a1      |                                                   1
70      1X                |                                                   1
71-74   A4        a2      |                                                   1
75      I1        i2      |                                                   1
                                                                              1
The cards may be grouped in any order, e.g. they may be ordered by CID        1
or by AN and AI.  The characters in columns 10-17 must be the same on         1
all cards referring to the same atom.                                         1

4.2.4 ATOMS                                                       ATOMS 4.2.4

                                                                              1
CID     Values of Parameters                                                  1
---     --------------------
     
ATCO    atomic coordinates
     
        x1  x       |Atomic coordinates
        x2  y       |in fractions of unit cell
        x3  z       |
        x4  U       For i2 = 1, isotropic atomic displacement parameter       2
                                     2                     2                  1
                       T = exp(-8(PI) U (sin(THETA)/LAMBDA) ).                1
                    For i2 = 2, isotropic atomic displacement parameter       2
                      equivalent to the anisotropic one.                      2
        x5  OCC     occupation number                                         1
                      The occupation number is only physically                1
                      meaningful if 0.LT.OCC.LT.1.  In cases where            1
                      this parameter is refined it may, within the            1
                      limits of error, lie outside this range.  If            1
                      this field is blank a value of 1.0 is assumed.          1
                      To avoid possible reading problems it would be          1
                      better to use a small non-zero value in cases           1
                      where an occupation number of 0.0 is                    1
                      intended.                                               1
                                                                              1
        x6  OXID    Ionic charge or formal oxidation state                    1
        i1          Wyckoff position multiplicity (.GT.1)
        a1          Wyckoff position letter
        a2  AT      Atom type.   Any four characters used to define the form
                      factor (see Section 4.2.5) or other atomic property,    2
                      e.g. in molecular graphics to indicate the colour       2
                      assigned to an atom in a molecular diagram              2
        i2  DT      Atomic displacement parameter type
                     1 = isotropic
                     2 = anisotropic
                     0 or 9 = default
                     8 = overall (value supplied on ATOMS:UALL)
     
ATCE    errors in atomic coordinates
     
        x1  SIGMA(x)   | N.B. If these are written as integers (I8)
        x2  SIGMA(y)   |      they will be read as errors in the
        x3  SIGMA(z)   |      fifth decimal place.
        x4  SIGMA(U)   |
        x5  SIGMA(OCC) |
        i1             Undefined
        a1             Undefined
        a2  ASPS       Special position identifier as used in SYMMETRY:SPOS   2
                        section (4.2.3). Use only the left hand 3 characters  2

4.2.4 ATOMS                                                       ATOMS 4.2.4

     
UALL    overall isotropic atomic displacement parameter                       2
                                                                              2
        AN             Undefined                                              2
        AI             Undefined                                              2
        x1  U(overall)                                                        2
        x2-i2          Undefined                                              2
                                                                              2
UALE    standard error in UALL                                                2
                                                                              1
UIJ     anisotropic atomic displacement parameters (U form).  This is the     1
        recommended form.                                                     1
     
        x1  U(11)   |
        x2  U(22)   | as used in the expression
        x3  U(33)   |               2
        x4  U(12)   | T = exp(-2(PI) (& &  U(ij)h h a*a*))
        x5  U(13)   |                  i j       i j i j
        x6  U(23)   |
     
UIJE    error in UIJ
     
CHEM    Gives chemical properties of the atom                                 2
                                                                              2
        x1  CN      Coordination number (as defined by the CONNECTIon section 2
                     (4.2.12) but including the attached H atoms given in x2  2
        x2  NH      Number of attached H atoms that are not included in the   2
                     CONNECTIon section (4.2.12)                              2
        x3          Formal charge (in electrons)                              2
        x4          Physical charge (in electrons) as determined by calcul-   2
                     ation, electron summation etc.  Give details in REMARK   2
                     section (4.2.10) if necessary                            2
        x5  x       x for 2D diagram                                          2
        x6  y       y for 2D diagram                                          2
        i1  GRP     Group number. A group is any collection of atoms defined  2
                     by the user                                              2
        a1          Chirality flag. R or S using the definition of Cahn,      2
                     Ingold and Prelog                                        2
        a2          (Field reserved for macromolecular subunit)               2
        i2  CMP     Component number. A component is any group of atoms which 2
                     form a connected set according to the data given in the  2
                     CONNECTIon section (4.2.12)                              2

4.2.4 ATOMS                                                       ATOMS 4.2.4

                                                                              2
The use of UIJ and UIJE is preferred to the use of the following four CID's   2
--------------------------------------------------------------------------    2
     
BETA   anisotropic atomic dispacement parameters (Beta form)
     
       x1  BETA(11)|
       x2  BETA(22)| as used in the expression
       x3  BETA(33)| T = exp(-(& &  BETA(ij)h h )
       x4  BETA(12)|            i j          i j
       x5  BETA(13)|
       x6  BETA(23)|
     
BIJ    anisotropic atomic displacement parameters (B form)
     
       x1  B(11)   |
       x2  B(22)   | as used in the expression
       x3  B(33)   | T = exp(1/4(& &  B(ij)h h a*a*))
       x4  B(12)   |              i j       i j i j
       x5  B(13)   |
       x6  B(23)   |
     
BETE               | standard errors in the values given on
BIJE               |  BETA and BIJ cards
     
     
EOS    End of section.  No data given on this card.
     
     

********************************************
4.2.5  FORM FACtor (A1, 2A4, A2, A4, 6F10.6)                 FORM FACtor 4.2.5
********************************************
     
The form factor can be given in different ways according to the value of
CID.
     
Col.    Format
     
1       A1        EOS     * on the last card of the section
2-5     A4        CID     Card Identifier:  TABL, EXP1, EXP2 or EOS           2
                            For FORM FACtor:blank see section 4.10.4          2
6-9     A4        DSK     Data Set Key (see section 3.6(c))
10-11   A2        AN      Atom name (may be blank if AT is given)
12-15   A4        AT      Atom type (may be blank if AN is given.  If
                           both AN and AT are given they must both agree
                           with the values given on the ATOMS card).
16-25   F10.6     x1      |
26-35   F10.6     x2      |
36-45   F10.6     x3      |
46-55   F10.6     x4      |  Parameters whose value depends on CID (see
56-65   F10.6     x5      |  below)
66-75   F10.6     x6      |
     
CID     Values of Parameters
---     --------------------
     
TABL    Table of atomic scattering factors                                    2
                                                                              2
        x1  sin(THETA)/(LAMBDA)| one card needed for each value of            2
        x2  f                  | sin(THETA)/(LAMBDA) for each type of         2
        x3  f'                 | atom as specified by AN and/or AT            2
        x4  f"                 | Note that f' may be included in x2 (in       2
                               | which case x3 = 0.0) or it may be            2
                               | given in x3 ( in which case it should        2
                               | not be included in x2)                       2
     
EXP1    Analytical form of atomic scattering factor
     
        x1  a1      |
        x2  b1      |
        x3  a2      |
        x4  b2      |
        x5  a3      | two cards (EXP1 and EXP2) needed for
        x6  b3      | each element or atom type.
                    |
EXP2    x1  a4      | Parameters are used in the expression
        x2  b4      | given below (see (International Tables
        x3  c       | for X-ray Crystallography IV, p. 71).
        x4  f'      |
        x5  f"      |
                      4                            2
      form factor =  &  a exp(-b (sin THETA/LAMBDA) ) + c + f' + if"
                    j=1  j      j
     
EOS     End of section.  No data given on this card.

4.2.5 FORM FACtor                                             FORM FACtor 4.2.5

Form factors can be identified with atoms in one of two ways:  either
through AN (normally an element symbol) or through AT (atom type).  If
both are given in this section both must agree with the values of AN and
AT given in ATOMS (Section 4.2.4).  For neutron scattering lengths the
EXP form can be used with a = b  = 0 and c = scattering length in
      -15                  j   j
fm(=10   m).
     

*****************************************
4.2.6 HKL      (A1, 2A4, 3I5, A1, 5F10.3)                            HKL 4.2.6
*****************************************
     
This section contains information on Bragg reflections.
     
Col.    Format
     
1       A1        EOS     * on the last card of the section
2-5     A4        CID     Card Identifier:  FOBS (or blank), FSQR, INT, CALC, 2
                          PWDR, ANGL, ISOM or EOS                             1
6-9     A4        DSK     Data Set Key (see section 3.6(c))
10-14   I5        h       |
15-19   I5        k       | Miller indices of the reflection
20-24   I5        l       |
25      A1        a       flag:  A, blank, 0 or 1  = normal reflection,       1
                                  B or 2 = unobserved reflection,             1
                                  C or 3 = unreliable measurement,            1
                                  D or 5 = space group systematic absence     1
                          The use of letters is recommended to improve        1
                          the legibility of the listed file.                  1
26-35   F10.3     x1      |
36-45   F10.3     x2      | Parameters whose values depend on CID
46-55   F10.3     x3      | (see below)
56-65   F10.3     x4      |
66-75   F10.3     x5      |
     
     
CID     Values of Parameters
---     --------------------
     
FOBS    to report observed structure factors only                             2
or blank    The use of FOBS instead of blank is recommended.                  2
     
        x1  |F(obs)|        Observed structure factor
        x2  SIGMA(|F(obs)|) Standard error in |F(obs)| (normally derived
                            from counting statistics).
        x3-x5               Undefined
                     2                                                        2
FSQR    to report |F|                                                         2
                    2                                                         2
        x1  |F(obs)|                                                          2
                          2                                                   2
        x2  SIGMA(|F(obs)| )                                                  2
                     2                                                        2
        x3  |F(calc)|                                                         2
        x4-x5               Undefined                                         2
     
INT     to report intensity measurements
     
        x1  |F(obs)|        | See above.
        x2  SIGMA(|F(obs)|) |
        x3  I(net)          Observed intensity corrected for background
                            but not absorption, extinction, etc.
        x4  I (background)  I(observed) = I(net) + I(background)
        x5  SIGMA(I(net))   Standard error in I(net) (normally derived
                            from counting statistics).

4.2.6 HKL                                                            HKL 4.2.6

     
CALC    to report calculated structure factors
     
        x1  |F(obs)|        | See above
        x2  SIGMA(|F(obs)|) |
        x3  |F(calc)|       Modulus of calculated structure factor
        x4  A               | F(calc) = A + iB
        x5  B               |
     
PWDR    to report powder patterns
     
        x1  I(obs)          Uncorrected intensity
        x2  SIGMA (I(obs))  Standard error in I(obs)
        x3  2(THETA)        (degrees)
        x4  SIGMA(2(THETA)) Standard error in 2(THETA)
     
ANGL    To report diffractometer setting angles
     
        x1  2(THETA)        | Diffractometer angles used for measuring this   1
        x2  OMEGA           | reflection according to manufacturer's          1
        x3  CHI or KAPPA    | definition.  Give diffractometer make and       1
        x4  PHI             | definition of the angles OMEGA, CHI or KAPPA,   1
        x5  PSI             | PHI, and PSI on a COMMENTS:ANGL (section 4.2.14)2
                            | card.  See also the CONDITIOns:HKL, ORNT or OUB11
                            | section (4.2.7)                                 1
     
ISOM    to report data from isomorphs (e.g. of macromolecules)
     
        x1  |F(obs)|        | see above
        x2  SIGMA(|F(obs)|) |
 
        x3  |F(calc)|       | Amplitude and phase (degrees) due to
        x4  ALPHA(c)        | isomorphous modification
                    2              ___           2                2    ___
        x5  g=(SIGMA(|Fo(hkl)|-|Fo(hkl)|))/(SIGMA(|Fo(hkl)|)+SIGMA(|Fo(hkl)|))
     
Structure factors for different isomorphs should use a different
value for DSK but cards may be ordered within a section by hkl
     
e.g. CID  DSK    h   k   l
     
     ISOM  IS3   3   4  -5
     CALC NATV   3   4  -6
     ISOM  IS1   3   4  -6   + data
     ISOM  IS2   3   4  -6
     ISOM  IS3   3   4  -6
     CALC NATV   3   4  -7
     etc.
     
     
EOS     End of section.  No data given on this card.
     

******************************************
4.2.7 CONDITIOns (A1, 2A4, A1, 6F10.0, 5X)                   CONDITIOns 4.2.7
******************************************
     
This section is used to describe the conditions of measurement.  Together     2
with the COMMENTS section (4.2.14) it contains                                2
the majority of the items required by Acta Crystallographica for the          2
publication of a crystal structure determination (Acta Cryst. C41 (1985),1-4) 2
     
Col.    Format
1       A1        EOS     * on the last card of the section
2-5     A4        CID     Card Identifier:  CELL, INT, HKL, STD, ABS, FACE,   2
                          FARE, ORNT, OUB1, OUB2, EQIV, REFN, STAT, VAR or EOS2
                          (for CONDITIOns:blank, see 4.10.3)                  2
6-9     A4        DSK     Data Set Key (see section 3.6(c))
10      A1        a       |
11-20   F10.0     x1      | Parameters whose value depends on CID
21-30   F10.0     x2      | Note that the parameters (x1-x6) may be
                          | written as integers and will be correctly read
31-40   F10.0     x3      | by an  F10.0 format.  Other formats (e.g.
                          | F10.5) may be written and will also be
41-50   F10.0     x4      | correctly read if  the decimal point is
                          | included.
5l-60   F10.0     x5      |
61-70   F10.0     x6      |
71-75   5X                 undefined
     
CID     Value of Parameters
---       -------------------
CELL    Conditions used for measuring the unit cell dimensions                2
        a   RAD           Radiation used for measuring unit cell              2
                           N =  neutrons                                      2
                           E =  electrons                                     2
                           X =  X-rays                                        2
                           S =  synchrotron radiation                         2
        x1  LAMBDA        Wavelength used to measure unit cell (Angstroms)    2
        x2  TEMP          Temperature at which cell was measured (K)          2
        x3  2THETAMIN     Minimum 2*theta used in measuring cell (degrees)    2
        x4  2THETAMAX     Maximum 2*theta used in measuring cell (degrees)    2
        x5  NCELL         Number of reflections used in measuring the cell    2
        x6                Undefined                                           2
                                                                              2
INT     Conditions used for measuring the intensities                         2
        a   RAD           Radiation used for measuring intensities (see CELL) 2
        x1  LAMBDA        Wavelength used to measure intensities (Angstroms)  2
        x2  TEMP          Temperature at which the intensities were           2
                          measured(K)                                         2
        x3  ST/LMIN       Minimum sin(theta)/lambda at which intensities were 2
                          measured                                            2
        x4  ST/LMAX       Maximum sin(theta)/lambda at which intensities were 2
                          measured                                            2
        x5  NINT          Total number of reflections whose intensities were  2
                          measured                                            2
        x6                Undefined                                           2

4.2.7 CONDITIOns                                              CONDITIOns 4.2.7

                                                                              2
HKL     Reflection ranges used in measuring intensities                       2
     
        a   DIFF          Type of diffractometer,                             2
                            E = Enraf-Nonius                                  2
                            G = GE-XRD                                        2
                            H = Hilger Watts 4 circle                         2
                            P = Picker                                        2
                            S = Nicolet(Syntex)                               2
                            W = Philips PW1100                                2
                            X = other                                         2
        x1  hMIN          Minimum value of h used                             2
        x2  hMAX          Maximum value of h used                             2
        x3  kMIN          Minimum value of k used                             2
        x4  kMAX          Maximum value of k used                             2
        x5  lMIN          Minimum value of l used                             2
        x6  lMAX          Maximum value of l used                             2
                                                                              2
STD     Details of standard reflection used for monitoring intensity          2
        measurements. Use as many cards as necessary                          2
                                                                              2
        x1  h             |                                                   2
        x2  k             | Miller index of a standard reflection             2
        x3  l             |                                                   2
        x4  AVINT         Average intensity measured                          2
        x5  SDINT         Standard deviation                                  2
        x6                Undefined                                           2
                                                                              2
ABS     Absorption correction to intensities                                  2
                                                                              2
        a   TYPE          Type of correction made. Give details if necessary  2
                          in the COMMENTS:ABS section (4.2.14)                2
                           A = analytical                                     2
                           E = semi-empirical                                 2
                           G = Gaussian                                       2
                           M = Monte Carlo                                    2
                           N = no correction made                             2
                                                           -1                 2
        x1  ABS           Linear absorption coefficient (mm  )                2
        x2  AMIN          Minimum absorption correction applied               2
        x3  AMAX          Maximum absorption correction applied               2
        x4-x6             Undefined                                           2

4.2.7 CONDITIOns                                             CONDITIOns 4.2.7
                                                                              2
FACE    Used for defining the shape and size of the crystal.
        x1  R             perpendicular distance from an arbitrary
                           origin to a crystal face (mm)
        x2  h             |
        x3  k             | Miller indices of the face
        x4  l             |
     
        x5  CHI or KAPPA  | polar coordinates of the normal to the face.
        x6  PHI           |
Note give (hkl) or (CHI or KAPPA, PHI) but not both.  One card is needed      1
per crystal face.  Whichever fields are not being used should be set to       1
999999999 to ensure that the values are not inadvertently read as zero.       1
If FACE cards are given, 3 ORNT cards or an OUB1 and an OUB2 card must also be2
given.  If CHI or KAPPA and PHI are given then OMEGA is assumed to be the same2
as that on the first ORNT card and THETA is assumed to be zero.               2
     
FARE    This card gives the standard errors of the quantities given on the    2
        FACE card using the corresponding fields                              2
     
ORNT    Used for defining the crystal orientation on the diffractometer.
        a   blank                                                             2
            or DIFF       Type of diffractometer (code as for CID = 'HKL ')   2
                          DIFF on CID = 'HKL ' should be used in preference   2
                            to this field.                                    2
        x1  h             |Miller indices (not necessarily integral) of
        x2  k             |an arbitrary point in reciprocal space.
        x3  l             |
        x4  OMEGA         |Angular settings on diffractometer used
        x5  CHI or KAPPA  |corresponding to these Miller indices.  Use
        x6  PHI           |the definition of OMEGA, CHI or KAPPA and
                          |PHI normal for the diffractometer specified or
                          |define them in COMMENTS:ANGL (Section 4.2.14)      2
     
At least 3 ORNT cards should be given to define the direction and sense
of the axes.
     
OUB1    Orientation Matrix of crystal on diffractometer                       1
        a   blank                                                             2
            or DIFF       Type of diffractometer (code as for CID = 'HKL ')   2
                          It is recommended to use DIFF on CID = 'HKL '       2
                            instead of this field.                            2
        x1  UB11          |                                                   1
        x2  UB12          |Two consecutive cards OUB1, OUB2 used to           1
        x3  UB13          |define the orientation of the crystal by an        1
        x4  UB21          |orientation matrix UB.                             1
        x5  UB22          |Use the definition of UB normal for the            1
        x6  UB23          |diffractometer specified or define it in a         1
                          |COMMENTS:OUB (section 4.2.14).                     1
                          |                                                   1
OUB2    x1  UB31          |                                                   1
        x2  UB32          |                                                   1
        x3  UB33          |                                                   1

4.2.7 CONDITIOns                                             CONDITIOns 4.2.7

EQIV    Merging of equivalent reflections                                     2
                                                                              2
        a                 Undefined                                           2
        x1  NINT          Total number of measured reflections                2
        x2  SINT          Total number of symmetry independent reflections    2
        x3  RINT          Agreement index between equivalent reflections      2
        x4-x6             Undefined                                           2
                                                                              2
REFN    Details of the final refinement                                       2
                                                                              2
        a   REFF          Form of structure factor used in refinement         2
                            F = structure factors                             2
                            S = square of structure factors                   2
                            I = intensities                                   2
        x1  MAXS/E        Maximum shift/error                                 2
        x2  AVS/E         Average shift/error                                 2
                                                        -3                    2
        x3  MAXDD         Maximum difference density (eA  for X-ray           2
                            diffraction)                -3                    2
        x4  MINDD         Minimum difference density (eA  for X-ray           2
                            diffraction)                                      2
        x5  K             Where IMIN = K*SIGMA(I(obs)) and reflections with   2
                            I > IMIN contribute in the refinement             2
                            For default use 9999999999                        2
        x6  THRESH        Where reflections with I > THRESH contribute in the 2
                            refinement. For default use 9999999999.  Give     2
                            K or THRESH and set the other to default          2
                                                                              2
STAT    Statistics of refinement                                              2
                                                                              2
        a   REFS          Form of structure factors used in agreement indices 2
                            F = structure factors                             2
                            S = square of structure factors                   2
                            I = intensities                                   2
        x1  R             Conventional agreement index (all reflections)      2
        x2  WR            Weighted agreement index (all reflections)          2
        x3  S             Goodness of fit                                     2
        x4  ROBS          Conventional agreement index for reflections with   2
                            I(obs).gt.IMIN                                    2
        x5  K             Where IMIN = K*SIGMA(I(obs))                        2
        x6  NUNOBS        Number of unobserved reflections                    2
                                                                              2
VAR     Number of variables used in refinement                                2
                                                                              2
        a                 Undefined                                           2
        x1  NREF          Number of reflections used in refinement            2
        x2  NVAR          Total number of parameters refined                  2
        x3  NGVR          Number of global parameters refined                 2
        x4  NCVR          Number of atomic coordinates refined                2
        x5  NIVR          Number of isotropic atomic displacement parameters  2
                                        refined                               2
        x6  NAVR          Number of anisotropic atomic displacement parameters2
                                        refined                               2
     
EOS     End of section.  No data given on this card.
     

*****************************************
4.2.8 FORMULA  (A1, 2A4, 6(A2, F8.4), 6X)                       FORMULA 4.2.8
*****************************************
     
Col.    Format
     
1       A1        EOS     * on the last card of the section
2-5     A4        CID     Card Indentifier:  FORL (or blank), CRYS, ANAL      2
                           or EOS                                             2
6-9     A4        DSK     Data Set Key (see section 3.6(c))
10-11   A2                | 1st element name
12-19   F8.4              | Number of atoms of lst element present
     
20-21   A2                | same for 2nd element
22-29   F8.4              |
     
30-31   A2                | same for 3rd element
32-39   F8.4              |
     
40-41   A2                | same for 4th element
42-49   F8.4              |
     
50-51   A2                | same for 5th element
52-59   F8.4              |
     
60-61   A2                | same for 6th element
62-69   F8.4              |
70-75   6X                undefined
     
     
Use as many cards as necessary.
     
CID     Value of parameter
---     ------------------
     
FORL    The unit cell defined in section 4.2.1 should contain Z of these      2
or blank  formula units. The use of FORL instead of blank is recommended.     2
     
CRYS    formula derived from crystal structure analysis (if different)        1
                                                                              1
ANAL    formula derived from chemical analysis.                               1
                                                                              1
EOS     End of section. No data given on this card.

**********************************
4.2.9 REFERENCe (A1, 2A4, 1X, A65)                            REFERENCe 4.2.9
**********************************
     
This section contains bibliographic information and information about the
origin of the entry
     
Col.    Format
1       A1        EOS     * on the last card of the section
2-5     A4        CID     Card Identifier: JRNL, AUTH, TITL, CAS, PDB, RFCD,  2
                          INOR, METL, PDF, HIST, RMRK or EOS                  2
6-9     A4        DSK     Data Set Key (see section 3.6(c))
10      1X
11-75   A65       DATA    data whose contents depend on CID (see below)
     
CID     Value of parameter
---     ------------------
JRNL    Journal reference.
        11-12   A2    last 2 digits of year of publication
        13-18   A6    ASTM Journal Coden (given on cover of the journal
                      or available from Chem. Abstracts Source List)
        19-22   A4    volume number
        23-27   A5    first page
        28-32   A5    last page
        33-75   A43   journal name (free text)
     
AUTH    Authors' names, surname first, one name per card, use as many
        cards as necessary.
     
TITL    Title of paper, use as many TITL cards as necessary.
     
CAS     Chemical Abstracts Service registry number (A10).                     1
                                                                              1
PDB     Protein Data Bank entry identification code (A4).                     1
                                                                              1
RFCD    Cambridge File Refcode (A8).                                          1
                                                                              1
INOR    Inorganic Database entry (collection) number (A6).                    1
                                                                              1
METL    Metal File entry number.                                              1
                                                                              1
PDF     Powder Diffraction file number.                                       1
                                                                              2
HIST    History of modifications made to the data given in the entry          2
        11-18   A8    Date modification made in form YEAR MOnth DAy           2
                      e.g.19870615                                            2
        19-75   A57   Details of modification e.g. programs used, by whom     2
                      performed, etc. free text                               2

RMRK    Comments.                                                             1
                                                                              1
EOS     End of section. No data given on this card.

**************************
4.2.10 REMARK    (A1, A74)                                      REMARK 4.2.10
**************************
     
Col.    Format
     
1       A1        EOS     * on the last card of the section.
2-75    A74               Any messages may be written in this section.
                          The COMMENTS section (4.2.14) should be used for    2
                           text whenever possible since it provides a more    2
                           structured method of presenting remarks.           2


**********************************************************
4.2.11 BONDS    (A1, 2A4, 1X, 2(A2,A6), I2, A1, 6F7.4, 4X)       BONDS 4.2.11 1
**********************************************************                    1
                                                                              1
This section can be used to provide a listing of the bonds.                   1
                                                                              1
Col.    Format                                                                1
                                                                              1
1       A1        EOS     * on the last card of the section                   1
2-5     A4        CID     Card Identifier:  BOND (or blank), or EOS           1
                          The use of BOND instead of blank is recommended.    2
6-9     A4        DSK     Data Set Key (see section 3.6(c))                   1
10      1X                                                                    1
11-12   A2        AN1     Atom name of origin atom                            1
13-18   A6        AI1     Identifier of origin atom                           1
19-20   A2        AN2     Atom name of terminal atom                          1
21-26   A6        AI2     Identifier of terminal atom                         1
27-28   I2        BT      Bond type 1 = single                                1
                                    2 = double                                1
                                    3 = triple                                1
                                    4 = quadruple                             1
                                    5 = aromatic                              1
                                    6 = ionic                                 1
                                    7 = delocalized                           1
                                    8 = Van der Waals                         1
                                    9 = metal-ligand PI bond                  1
                                    0 = unidentified or other                 1
29      A1         A/C    A/C acyclic or cyclic bond                          1
30-36   F7.4       LENG   bond length                                         1
37-43   F7.4       ELENG  error in bond length                                1
44-50   F7.4       BX     |                                                   1
51-57   F7.4       BY     |components of bond (x2 -x1, etc.) along cell axes  1
58-64   F7.4       BZ     |unless otherwise specified                         1
65-71   F7.4       BO     Bond strength, bond valence, bond number or bond    1
                          order                                               1
72-75   4X                Undefined                                           1
                                                                              1

******************************************************************            1
4.2.12 CONNECTIon (A1, 2A4, 2(A2, A6, A3, 3I2), 4F7.4, I2, I1, A1)     4.2.12 2
******************************************************************            2
                                                                              2
This section is used to define the connection table and may contain bonds     2
(BT.NE.10) or other interatomic distances (BT.EQ.10)                          2
                                                                              2
Col.    Format                                                                2
                                                                              2
1       A1        EOS     * on the last card of the section                   2
2-5     A4        CID     Card identifier:  DIST, VECT or EOS                 2
6-9     A4        DSK     Data set key (see section 3.6(c))                   2
10-11   A2        AN1     |Atoms forming the connection                       2
12-17   A6        AI1     | AN       Atom name        | as in ATOMS section   2
18-20   A3        ASYM1   | AI       Atom identifier  | section (4.2.4)       2
21-22   I2        XT1     | ASYM     Identifier of the symmetry operator      2
23-24   I2        YT1     |           applied to the atom (see SYMMETRY:SYOP  2
25-26   I2        ZT1     |           section 4.2.3))                         2
27-28   A2        AN2     | XT,YT,ZT Integer lattice translations applied     2
29-34   A6        AI2     |           after the application of the symmetry   2
35-37   A3        ASYM2   |           operator. Given in units of the unit    2
38-39   I2        XT2     |           cell vector                             2
40-41   I2        YT2     |                                                   2
42-43   I2        ZT2     |                                                   2
                                                                              2
44-50   F7.4      x1      |                                                   2
51-57   F7.4      x2      | Parameters whose value depends on CID             2
58-64   F7.4      x3      |                                                   2
65-71   F7.4      x4      |                                                   2
72-73   I2        i1      |                                                   2
74      I1        i2      |                                                   2
75      A1        a1      |                                                   2
                                                                              2
CID     Value of parameter                                                    2
---     ------------------                                                    2
                                                                              2
DIST    Used for reporting bond lengths and distances                         2
                                                                              2
        x1  LENG    Bond length                                               2
        x2  ELENG   Error in bond length                                      2
        x3  BO      Bond order or bond strength                               2
        x4          Undefined                                                 2
        i1  BT      Bond type (same as in the BOND section (4.2.11)           2
                     except that BT = 10 means that the distance is           2
                     not a bond)                                              2
        i2  CT      (Reserved for link or connection type)                    2
        a1  C/A     Cyclic or acyclic flag                                    2
                                                                              2
VECT    Used for giving the bond vector                                       2
                                                                              2
        x1  BX      |components of the bond vector referred to the            2 
        x2  BY      | crystallographic unit cell                              2
        x3  BZ      |                                                         2
                                                                              2
EOS     End of section. No data given on this card                            2
                                                                              2

*************************************
4.2.13 CRYSTAL (A1, 2A4, 2A3, 6F10.0)                          CRYSTAL 4.2.13 2
*************************************                                         2
     
This section contains data on refinable crystal parameters                     2
                                                                              2
     
Col.    Format            Data                                                2
                                                                              2
1       A1        EOS     * on last card of section                           2
2-5     A4        CID     Card identifier:  SCAL, EXTN, EXTE, ABSR,           2
                                            TWIN or EOS                       2
6-9     A4        DSK     Data set key (see section 3.6(c))                   2
10-12   A3        a1      |                                                   2
13-15   A3        a2      |Parameters whose value depends on the CID          2
16-25   F10.0     x1      |                                                   2
26-35   F10.0     x2      |                                                   2
36-45   F10.0     x3      |                                                   2
46-55   F10.0     x4      |                                                   2
56-65   F10.0     x5      |                                                   2
66-75   F10.0     x6      |                                                   2
                                                                              2
CID     Value of parameter                                                    2
---     ------------------                                                    2
                                                                              2
SCAL    Scale factors                                                         2
                                                                              2
        a1-a2       Undefined                                                 2
        x1  S       Scale factor. S multiplies the |F(obs)| to put them on    2
                     the same scale as the |F(calc)|.  Thus both |F(obs)|**2  2
                     and I(net) need to be multiplied by S**2 to put them on  2
                     the same scale as |F(calc)|**2 and I(calc) respectively. 2
                     If S=0 (or blank) S=1.0 is assumed                       2
        x2  ES      Standard error in S                                       2
        x3-x6       Undefined                                                 2
                                                                              2
EXTN    Extinction parameters                                                 2
                                                                              2
        a1          Extinction theory flag                                    2
                     BAC = Becker and Coppens. Acta Cryst. (1974). A30, 129-  2
                           153. Acta Cryst. (1975). A31, 417-425.             2
                     LAR = Larson Acta Cryst. (1967). 23, 664-665.            2
                     (any other code should be defined in the COMMENTS:EXTN   2
                      section (4.2.14))                                       2

4.2.13 CRYSTAL                                                 CRYSTAL 4.2.13
                                                                              2
    For a1 = BAC                                                              2
        a2        Parameter specifier (defines the parameters x1-x6)          2
             11      A1  Directionality of correction                         2
                         I = Isotropic (1 parameter)                          2
                         A = Anisotropic (6 parameters)                       2
             12      A1  Parameter type                                       2
                         L = Mosaic spread with Lorentzian distribution       2
                         G = Mosaic spread with Gaussian distribution         2
                         F = Mosaic spread with Fresnelian distribution       2
                         D = Domain size parameter                            2 
             13      A1  Parameter sub-type                                   2
                         blank = no sub-type                                  2
                         For A in 11 with L, G or F in 12:                    2
                           C = Coppens and Hamilton expression for aniso-     2
                               tropic mosaic contribution, Acta Cryst. (1970) 2
                               A26,71-83.                                     2
                           T = Thornley and Nelmes expression for anisotropic 2
                               mosaic contribution, Acta Cryst. (1974). A30,  2
                               748-757.                                       2
        x1  X11  or X(isotropic)  |                      2                    2
        x2  X22                   | Units of milliradians  (or inverse)       2
        x3  X33                   | for mosaic distribution parameters        2
        x4  X12                   |                     2                     2
        x5  X13                   | Units of micrometres (or inverse) for     2
        x6  X23                   | for domain size paramters                 2
                                                                              2
    For a1 =  LAR                                                             2
        a2               undefined                                            2
        x1  g            g factor                                             2
        x2  SIGMA(g)     Standard error in g                                  2
        x3-x6            undefined                                            2
                                                                              2
EXTE    Errors in corresponding extinction parameter                          2
                                                                              2
     NOTE: In the general case, two EXTN and two EXTE cards will be needed,   2
           one to specify the mosaic distribution description and the other   2
           to specify the domain size parameters.                             2
                                                                              2
                                                                              2
ABSR    Gives information on the absolute structure (chirality or  polarity)  2
                                                                              2
        a1          Undefined                                                 2
        a2          Undefined                                                 2
        x1  X       Absolute-Structure parameter.                             2
        x2  SIGX    Error in X.                                               2
        x3-x6       Undefined                                                 2

4.2.13 CRYSTAL                                                 CRYSTAL 4.2.13
                                                                              2
TWIN    Gives information on the volume fractions of twin components          2
           Use as many TWIN cards as necessary                                2
                                                                              2
        a1  ATWIN   User defined twin identifier. This must be the same as    2
                      that used to specify the corresponding twin symmetry    2
                      operation in the SYMMETRY:TWIN (section 4.2.3)          2
        a2          Undefined                                                 2
        x1  TVOL    Volume fraction of the twin. The sum of all volume        2
                    fractions should be 1.0                                   2
        x2  ETVOL   Error in TVOL                                             2
        x3-x6       Undefined                                                 2
                                                                              2
                                                                              2
EOS     End of section.  No data given on this card.                          2
     

**********************************                                            2
4.2.14 COMMENTS (A1, 2A4, 1X, A65)                            COMMENTS 4.2.14 2
**********************************                                            2
                                                                              2
Section for strutured comments and text.                                      2
                                                                              2
Col.    Format            Data                                                2
1       A1        EOS     * on last card of section                           2
2-5     A4        CID     Card identifier:  ABST,INTR,EXPT,DESC,DISC,UPAC,    2
                              NAME,SRCE,PREP,FORM,PHAS,ANGL,ABS,              2
                              OUB,EXTN,SSOL,SCAT,WGHT,HYDR,PROG,ORIG,         2
                              SYOP,SPOS,DISO,EOS                              2
6-9     A4        DSK     Data set key (see section 3.6(c))                   2
10      1X                                                                    2
11-75   A65       TEXT    Text according to CID below.                        2
                              Use free format text to give appropriate        2
                               information.                                   2
                              If necessary, use several cards with the same   2
                               CID.                                           2
                                                                              2
CID     Value of parameter                                                    2
---     ------------------                                                    2
ABST    Text of abstract of paper                                             2
                                                                              2
INTR    Text of introduction to paper                                         2
                                                                              2
EXPT    Text of description of experimental method                            2
                                                                              2
DESC    Text  describing the structure or crystal properties etc.             2
                                                                              2
DISC    Text discussing the results of the experiment                         2
                                                                              2
UPAC    IUPAC name, use as many cards as necessary                            2
                                                                              2
NAME    Other chemical name (e.g. synonym or trivial name)                    2
                                                                              2
SRCE    Description of the source of the material                             2
                                                                              2
PREP    Description of the preparation of the material                        2
                                                                              2
FORM    Chemical formula in free format (see also FORMULA Section (4.2.8)     2
                                                                              2
PHAS    Information about the solid state phase                               2
                                                                              2
ANGL    Definition of angles used in the diffractometer (see HKL:ANGL section 2
         (4.2.6) and CONDITIOns:ORNT section (4.2.7))                         2
                                                                              2
ABS     Details of absorption correction (see CONDITIOns:ABS section (4.2.7)) 2

4.2.14 COMMENTS                                               COMMENTS 4.2.14 2

                                                                              2
OUB     Definition of orientation matrix (see CONDITIOns:OUB1 and OUB2        2
         section (4.2.7))                                                     2
                                                                              2
EXTN    Details of extinction correction (see CRYSTAL:EXTN section (4.2.13))  2
                                                                              2
SSOL    Method used for structure solution                                    2
                                                                              2
SCAT    Source of atomic scattering functions (form factors)                  2

WGHT    Description of the weighting scheme used in refinement                2
                                                                              2
HYDR    Treatment of hydrogen atoms in refinement                             2
                                                                              2
PROG    List of programs used. Give each program on a different card          2
                                                                              2
ORIG    Choice of origin of unit cell (should agree with SYMMETRY (4.2.3) and 2
         SG NAME (4.2.2) sections)                                            2
                                                                              2
SYOP    Algorithm used for generating symmetry operators (see SYMMETRY:SYOP   2
         section (4.2.3))                                                     2
                                                                              2
SPOS    Algorithm used for generating special positions (see SYMMETRY:SPOS    2
         section (4.2.3))                                                     2
                                                                              2
DISO    Description of disorder                                               2
                                                                              2
EOS     End of section.  No data given on this card.                          2
     

-------------------------------------------------------------------------------
*******************************************************************************
4.3   SECTIONS GIVING BASIC DATA IN COMPACT FORM                            4.3
*******************************************************************************
-------------------------------------------------------------------------------
     
***********************************************************************
4.3.1 ATOM COOrdinates (A1, A2, A3, A4, 3F8.5, 2F6.4, 3F6.5, 2F5.4, 1X)
***********************************************************************
     
This contains atomic coordinates in a compact form.  See ATOMS section
(4.2.4) for detailed definitions.
     
     
Col.    Format
     
1       A1        EOS     * on the last card of the section
2-3     A2        AN      Atom name
4-6     A3        AI      Atom identifier (any legal characters)
                           In other sections (e.g. ATOMS (4.2.4) and BONDS    2
                           (4.2.11) AI is given the format A6.  The ATOM COO  2
                           section should only be used if AI consists of no   2
                           more than 3 characters.  In this case, the right   2
                           hand three characters in the A6 format should be   2
                           blank                                              2
7-10    A4        AT      Atom type (to identify form factors)
11-18   F8.5      x       |
19-26   F8.5      y       |Atomic coordinates in fractions of unit cell.
27-34   F8.5      z       |
35-40   F6.4      U       Isotropic (or equivalent isotropic) atomic
                          displacement parameter
                                        2                     2
                          T = exp(-8(PI) U (sin(THETA)/LAMBDA) )
41-46   F6.4      OCC        Occupation number
47-52   F6.5      SIGMA(x)   | Standard errors in x, y, z, U and OCC.
53-58   F6.5      SIGMA(y)   |
59-64   F6.5      SIGMA(z)   | N.B.  If these are written as integers (I6 or
                             | I5), they will be read as errors in the 5th
65-69   F5.4      SIGMA(U)   | (or 4th) decimal place
70-74   F5.4      SIGMA(OCC) |
75      1X                undefined
     

********************************************************************
4.3.2 HKL PACK (A1, 3I3, F8.2, F6.2, A1, 2(1X, 3I3, F8.2, F6.2, A1))     4.3.2
********************************************************************
     
A compact form listing 3 structure factors per card.
     
Col.    Format
     
1       A1        EOS            * on the last card of the section
2-4     I3        h              |
5-7     I3        k              |Miller indices
8-10    I3        l              |
11-18   F8.2      |F(obs)|       Observed structure factor for the first
                                       reflection
19-24   F6.2      SIGMA(|F(obs)|)Error in |F(obs)|
25      A1        a              Flag (see HKL (Section 4.2.6) for
                                   definition)
26      1X
27-29   I3        h              |
30-32   I3        k              |
33-35   I3        l              | as above for second reflection
36-43   F8.2      |F(obs)|       |
44-49   F6.2      SIGMA(|F(obs)|)|
50      A1        a              |
51      1X
52-54   I3        h              |
55-57   I3        k              |
58-60   I3        l              | as above for third reflection
61-68   F8.2      |F(obs)|       |
69-74   F6.2      SIGMA(|F(obs)|)|
75      A1        a              |
     
A problem arises when the number of structure factors is not divisible by 3   1
since the last card will contain one or two reflections with hkl blank.       1
This might be read on some machines as (hkl) = (000) resulting in data        1
for the (000) reflection being overwritten.  In this case h k and l           1
should be given the default values of 999.  Alternatively any unused          1
parts of the card may be filled with 9's.                                     1
     

-------------------------------------------------------------------------------
*******************************************************************************
4.4   SECTIONS OF INTEREST TO MACROMOLECULAR CRYSTALLOGRAPHERS              4.4
*******************************************************************************
-------------------------------------------------------------------------------
     
******************************************************************************
4.4.1 ATOM MACromolecule (A6, I5, 1X, A2, 3A1, A3, 1X, A1, I4,  A1, 3X, 3F8.3,
                          2F6.2, 1X, I3, A4, 1X)
******************************************************************************
     
This section is designed for macromolelcular structures and is compatible 
with the format used in the Protein Data Bank.  For further details see
"Protein Data Bank Atomic Coordinate and Bibliographic Entry Format
Description, January 1985" Dept. of Chemistry, Brookhaven National            2
Laboratory, Upton, N.Y., 11973, U.S.A.
     
Note that atomic coordinates are expressed in rectangular cartesian
coordinates in Angstrom units.  The transformation matrix is given in
the ORTHOGONal section (4.4.2).
     
Since this format is compatible with the Protein Data Bank format the
first six columns are used for the CID.  The end of section is indicated
using "*EOS " as a CID.
     
     
Col.    Format             Data
     
1-6     A6        CID      ATOM, SIGATM, HETATM, TER or *EOS.
                           ATOM records are used for atoms in the
                           principal structural units.
                           SIGATM records contain standard errors in
                           coordinates.
                           HETATM records are identical to ATOM records
                           but are used for water and atoms in other HET
                           groups.
                           TER records use only columns 1-27 and occur
                           after the terminal atom of each chain when the
                           chemically-identified terminal residue occurs
                           as the last residue in the coordinate list.
                           *EOS is the end of section and contains no
                           data.
7-11    I5                 Atom serial number
12      1X
13-14   A2        AN       Atom name (element symbol, right justified)
15      A1                 Remoteness indicator
16      A1                 Branch designator
17      A1                 Alternative location indicator
18-20   A3                 Residue name
                                         or
(15-20  A6        AI       Atom identifier, any legal characters)

4.4.1 ATOM MACromolecule                             ATOM MACromolecule 4.4.1

 
21      1X
22      A1                 Chain identifier
23-26   I4                 Residue sequence No.
27      A1                 Code for insertion of Residues
28-30   3X
31-38   F8.3      X        |Atomic coordinates in ANGSTROM UNITS (or their
39-46   F8.3      Y        |standard errors (ANGSTROM UNITS) if CID =
47-54   F8.3      Z        |"SIGATM")
55-60   F6.2      OCC      Occupancy (standard error if CID = "SIGATM").
                           Normally  1.0.
61-66   F6.2      B        Isotropic atomic displacement factor (standard error
                            if CID = "SIGATM"). If anisotropic atomic         2
                            displacement factors are given in an ANIS MAC     2
                            section (4.4.4) this field may contain U(eq)      2
67      1X
68-70   I3                 Footnote number
71-74   A4        AT       Atom type (to identify scattering factors).
                           See ATOMS (Section 4.2.4).
75      1X                 Undefined

************************************************************************
4.4.2 ORTHOGONal Transformation (A5, I1, 1X, I3, 3F10.5, 5X, F10.5, 20X)  4.4.2
************************************************************************
     
This section is compatible with the Protein Data Bank format and is used in
conjunction with the ATOM MAC section.
     
Col.    Format             Card Format (see below for explanation)
     
1-5     A5        CID      SCALE, ORGIX, MTRIX, TVECT or *EOS (*EOS = end
                           of section card containing no data)
6       I1        LNUM     line number of matrix (1, 2 or 3 below)
                           (SCALE, ORGIX and MTRIX cards only)
7       1X
8-10    I3        SNUM     Symmetry transformation number (MTRIX and
                           TVECT cards only)
11-20   F10.5     Mi1      |
21-30   F10.5     Mi2      |One row of matrix elements (i = LNUM)
31-40   F10.5     Mi3      |
41-45   5X
46-55   F10.5     Ti       Translation element of matrix (i = LNUM)
56-58   3X                 Undefined.
59-60   I2        IG       Coordinate flag (see below)
61-75   15X                Undefined
     
This section contains the matrices used in transforming the orthogonal
coordinates given in the ATOM MAC section.  If atomic coordinates are
given in ATOM MAC at least three SCALE cards should be included to give
the matrix that transforms orthogonal coordinates to crystal
coordinates.
Each matrix requires 3 cards where the matrix is stored in columns 11-55
as follows:

LNUM = 1, X' = M11*X + M12*Y + M13*Z + T1
LNUM = 2, Y' = M21*X + M22*Y + M23*Z + T2
LNUM = 3, Z' = M31*X + M32*Y + M33*Z + T3
     
For SCALE cards M = S and T = U
For ORGIX cards M = O and T = T
For MTRIX cards M = M and T = V, IG=1 if the coordinates of the atoms
                                      related by the operations M/V are
                                      given in the file
                                   =0 otherwise
For TVECT cards M1i = Wi

4.4.2 ORTHOGONal transformation                ORTHOGONal transformation 4.4.2
     
The fractional (crystallographic) coordinates x are related to the
orthogonal coordinates X given in the ATOM MAC section by x = S*X + U.
The coordinates originally submitted to the Protein Data Bank (X2) are
given by X2 = O*X + T
When the asymmetric unit contains atoms related by non-crystallographic
symmetry these can be generated by X'=M*X+V.  In a polymeric structure
the full structure can be generated by applying succesively the vector
given on the TVECT card to the coordinates in ATOM MAC X' = X + W.  Each
MTRIX and TVECT card must contain a serial number in SNUM, each operation
having a different value of SNUM.
The TVECT card should be blank in columns 46-55.
     
For further details of the use of these matrices see Appx A of the
"Protein Data Bank.  Atomic Coordinate and Bibliographic Entry Format
Description, January 1985".                                                   2
     

******************************************************************
4.4.3 HKL PROTein (A1, 3I4, A4, 2(F6.0, F4.0), 3I3, 4F5.0, I6, I3)      4.4.3
******************************************************************
     
This section is designed for protein structure factors.
     
Col.    Format
     
1       A1      EOS           * on the last card of the section
2-5     I4      h             |
6-9     I4      k             |Miller indices
10-13   I4      l             |
14-17   A4      DSK           Data set key (see section 3.6(c))
18-23   F6.0    |F(obs)|      Observed structure factor
24-27   F4.0    SIGMA(F(obs)) Standard error in F(obs)
28-33   F6.0    DELTA         |F(obs)   |-|F(obs) ___|
                                     hkl          hkl
34-37   F4.0    SIGMA(DELTA)  Standard error in DELTA
38-40   I3      ALPHA(p)      most probable phase of native protein
41-43   I3      ALPHA(b)      best (i.e. centroid) phase of native protein
44-46   I3      m             Figure of merit (100)
47-51   F5.0    A             | Coefficients in the expression
52-56   F5.0    B             | logP(ALPHA) = Acos(ALPHA) + Bsin(ALPHA) +
57-61   F5.0    C             | Ccos2(ALPHA) + Dsin2(ALPHA) scaled by scale
62-66   F5.0    D             | factor given in the CONDITIOns section.
     
67-72   I6      |F(calc)|     | calculated structure factor and phase (in
73-75   I3      ALPHA(calc)   | degrees) for native protein.
     
     
By a suitable choice of the scale given in the CRYSTAL:SCAL section(4.2.13),  2
these numbers can be given as integers if space is short.
Fields given as Fn.0 should normally contain only integers.
They would not include the decimal point and could be read
as if they were written as In.  Correctly scaled values are
calculated by multiplying the integers given in these fields by the scale
factor given in CRYSTAL:SCAL Section (4.2.13).
     

**************************************************************                2
4.4.4 ANIS MACromolecule (A6, I5, 1X, A2, 3A1, A3, 1X, A1, I4,                2
                          A1, 1X, 6F7.4, 5X)                           4.4.4  2 
**************************************************************                2
                                                                              2
This section is used for reporting anisotropic atomic displacement factors    2
                                                                              2
col.   format         data                                                    2
                                                                              2
 1- 6  A6     CID     ANISOU for anisotropic atomic dispaclement factors      2
                       SIGUIJ for standard errors in ANISOU                   2
                       *EOS for end of section (last card)                    2
 7-27                 Same as ATOM MAC section (4.4.1)                        2
28     1X                                                                     2
29-35  I7     U11     |                                                  2    2
36-42  I7     U22     |Anisotropic atomic displacement factors 10**4 in A     2
43-49  I7     U33     | in the rectangular coordinate system used for         2
50-56  I7     U12     | the atomic coordinates.                               2
57-63  I7     U13     | (see ATOMS:UIJ section (4.2.4) for definition)        2
64-70  I7     U23     |                                                       2
71-75  5X             Undefined                                               2
                                                                              2

****************************************                                      2
4.4.5 CONN MACromolecule (A6, 11I5, 14X)             CONN MACromolecule 4.4.5 2
****************************************                                      2
                                                                              2
Gives atom connectivities for macromolecules                                  2
                                                                              2
Col.   format         data                                                    2
                                                                              2
 1- 6    A6    CID    CONECT or *EOS (for last card in the section)           2
 7-11    I5           Serial number of central atom (section 4.4.1 cols 7-11) 2
12-31   4I5           Serial numbers of covalently bonded atoms               2
32-41   2I5           Serial numbers of acceptor hydrogen bonded atoms        2
42-46    I5           Serial number of salt bridged atom with excess negative 2
                       charge                                                 2
47-56   2I5           Serial number of donor hydrogen bonded atoms            2
57-61    I5           Serial number of salt bridged atom with excess positive 2
                       charge                                                 2
62-75   14X           Undefined
     

-------------------------------------------------------------------------------
*******************************************************************************
4.10   SECTIONS DEFINED IN EARLIER VERSIONS AND NOW SUPERSEDED.            4.10
*******************************************************************************
-------------------------------------------------------------------------------
     
These sections are obsolete and should NOT be used in preparing new files.
They are included here only to permit the reading of files
produced using the earlier standards.
     
***************************************************                           1
4.10.1 SPACE GRoup (3A1, 2X, A4, 2X, A11, 3A4, 41X)                           1
***************************************************                           1
     
(Superseded by SG NAME (section 4.2.2))
     
Col.    Format
     
1       A1        EOS     * since this section should contain only 1
                            card there will always be an asterisk in
                            column 1.
2       A1        LT      Lattice type P, A, B, C, F, I or H.  Normally
                          the first character of the Hermann-Mauguin
                          space group symbol but for rhombohedral space
                          groups use P for the rhombohedral setting, H
                          for the hexagonal setting.  Any program
                          reading the file should generate the lattice
                          translation operators from this symbol.
3       A1        CC      Center Code, C = center of symmetry at the
                          origin (A, N or other symbol = no center at
                          origin).  If C is specified, any program
                          reading the file should automatically generate
                          additional symmetry operators by inverting the
                          operators given in SYMMETRY (Section 4.2.3)
                          through the origin e.g. if x,-y,1/2+z is
                          given, -x,y,-1/2-z should be generated by the
                          program.
4-5     2X
6-9     A4        DSK     Data Set Key (see section 3.6(c))
10-11   2X
12-22   A11       SG      Hermann-Mauguin space group symbol for the
                          setting actually used (see section 4.2.2 but
                          note that for rhombohedral space groups
                          LT = 'P' implies rhombohedral setting, LT = 'H'
                          implies hexagonal setting)
23-26   A4        X0      Origin shift in the form 1/8 -3/8 1/4 etc.
27-30   A4        Y0      (4 characters per axis, right justified).
3l-34   A4        Z0      This describes a vector from the origin given
                          in the standard (International Tables) setting
                          to the origin of the cell used in the
                          description of the structure.  The axis system
                          in which the vector is given is that defined
                          in the field SG above.
35-75   41X               Undefined.
     

*********************************************************                     1
4.10.2 ATOM      (A1, 2A4, A2, A3, 6F8.5, I4, A1, A4, 4X)         ATOM 4.10.2 1
*********************************************************                     1
     
(Superseded by ATOMS (section 4.2.4)).  See ATOMS for detailed
definitions.
     
Col.    Format
     
1       A1        EOS     * on the last card of section.
2-5     A4        CID     Card Identifier = ATCO, ATCE, UIJ, BETA, BIJ,
                          UIJE, BETE, BIJE or EOS
                          (See Section 4.2.4)
6-9     A4        DSK     Data Set Key
10-12   A2        AN      atom name
12-14   A3        AI      atom identifier, (any legal characters).
15-22   F8.5      x1      |
23-30   F8.5      x2      |
31-38   F8.5      x3      |
39-46   F8.5      x4      |Parameters whose value depends on CID (see
47-54   F8.5      x5      |section 4.2.4)
55-62   F8.5      x6      |
63-66   I4        i1      |
67      A1        a1      |
68-71   A4        a2      |
72-75   4X                undefined
     

***********************                                                       2
4.10.3 CONDITIOns:blank                                      CONDITIOns:blank 2
***********************                                                       2
     
CID    Value of parameter (superseded by various other CID's and sections)    2
---    ------------------
     
blank a  N = neutron diffraction, E = electron diffraction, X (or
            blank) = normal X-ray diffraction, S = Synchrotron radiation.
     
      x1   LAMBDA           Wavelength (Angstrom Units)
      x2   T                Temperature (K)
      x3   SCALE            Scale factor.  True F = SCALE*F given in HKL
                            sections (Sections  4.2.6, 4.3.2, or 4.4.3)
                            If this field is blank a value of 1.0 is
                            assumed
                                                             -1
      x4   ABS              linear absorption coefficient (mm  )
                                                  -3
      x5   DM              Observed density (mg.mm  )
                                                    -3
      x6   DC              Calculated density (mg.mm  )
     

************************                                                      2
4.10.4 FORM FACtor:blank                             FORM FACtor:blank 4.10.4 2
************************                                                      2

CID     Values of Parameters (Superseded by FORM FACtor:TABL)                 2
---     --------------------                                                  2
     
blank  Table of atomic scattering factors 
     
        x1  sin(THETA)/(LAMBDA)| one card needed for each value of            1
        x2  f                  | sin(THETA)/(LAMBDA) for each type of         1
        x3  f"                 | atom as specified by AN and/or AT            1
        x4  f'                 | Note that f' may be included in x2 (in       1
                               | which case x4 = 0.0) or it may be            1
                               | given in x4 ( in which case it should        1
                               | not be included in x2)                       1


-------------------------------------------------------------------------------
*******************************************************************************
5. Appendix I  Example of an SCFS-87 file                         Appendix I  5
*******************************************************************************
-------------------------------------------------------------------------------
     
 
 
TITLE
* Trimercury bisniobiumpentafluoridesulfate                        HG3NBFS
 
REFERENCE
 RMRK     Submittted for publication to
 JRNL       INOCA
 TITL     The Preparation and crystal structures of Hg3 (Nb F5)2 S O4,
 TITL     Hg3 (Ta F5)2 S O4 and Hg4 (Ta2 F11)2
 AUTH     BROWN I.D.
 AUTH     GILLESPIE R.J.
 AUTH     MORGAN K.R.
 AUTH     SAWYER J.F.
 AUTH     SCHMIDT K.J.
 AUTH     TUN Z.
 AUTH     UMMAT P.K.
 AUTH     VEKRIS J.E.
*EOS
 
COMMENTS
 DESC     The compound contains Hg3(2+) ions that are linear (they lie on
 DESC     a two fold axis.  The anion consists of two NbF5 groups linked
 DESC     by Nb-O bonds to an S O4 ion which also lies on a two-fold axis.
 DESC     There is a strong Hg-O bond colinear with the Hg3 ion that
 DESC     connects to the terminal O of the sulfate group.
*EOS
 
CELL DIMENSION     A         B         C     ALPHA      BETA     GAMMA   Z
 CELL        18.0580   15.7160    9.1710   90.0000   90.0000   90.0000   1.
 ERRS         0.0100    0.0100    0.0100    0.0000    0.0000    0.0000
 VOL       2600.        2.                  5.485
*EOS
 
SG NAME
 HERM     F D D 2
 HALL     F 2 -2D
 LATT     NP
*EOS

HKL          H    K    L    F(OBS)     SIGMA    F(CALC)
 CALC        0    0   -4   1789.300     7.100  1740.500
 CALC        0    0    4   1774.500     7.100  1715.200
 CALC        0    0    8    777.400    12.000   752.600
 CALC        0    2   -6B    61.300    21.200    74.000
*EOS


5 Appendix                                                         Appendix 5

SYMMETRY
 SYOP      1 0 0 0.0000000     0 1 0 0.0000000     0 0 1 0.0000000  1
 SYOP     -1 0 0 0.0000000     0-1 0 0.0000000     0 0 1 0.0000000  2
 SYOP     -1 0 0 0.2500000     0 1 0 0.2500000     0 0 1 0.2500000  3
 SYOP      1 0 0 0.7500000     0-1 0 0.7500000     0 0 1 0.2500000  4
 SYOP      1 0 0 0.0000000     0 1 0 0.5000000     0 0 1 0.5000000  5
 SYOP     -1 0 0 0.0000000     0-1 0 0.5000000     0 0 1 0.5000000  6
 SYOP     -1 0 0 0.2500000     0 1 0 0.7500000     0 0 1 0.7500000  7
 SYOP      1 0 0 0.7500000     0-1 0 0.2500000     0 0 1 0.7500000  8
 SYOP      1 0 0 0.5000000     0 1 0 0.0000000     0 0 1 0.5000000  9
 SYOP     -1 0 0 0.5000000     0-1 0 0.0000000     0 0 1 0.5000000 10
 SYOP     -1 0 0 0.7500000     0 1 0 0.2500000     0 0 1 0.7500000 11
 SYOP      1 0 0 0.2500000     0-1 0 0.7500000     0 0 1 0.7500000 12
 SYOP      1 0 0 0.5000000     0 1 0 0.5000000     0 0 1 0.0000000 13
 SYOP     -1 0 0 0.5000000     0-1 0 0.5000000     0 0 1 0.0000000 14
 SYOP     -1 0 0 0.7500000     0 1 0 0.7500000     0 0 1 0.2500000 15
 SYOP      1 0 0 0.2500000     0-1 0 0.2500000     0 0 1 0.2500000 16
 SPOS      1 0 0 0.0000000     0 1 0 0.0000000     0 0 1 0.0000000  116
 SPOS      0 0 0 0.0000000     0 0 0 0.0000000     0 0 1 0.0000000  2 8
*EOS
ATOMS             X       Y       Z       U(EQ)   OCC     VAL    WYCK AT TF
 ATCO    HG1      0.00000 0.00000 0.00000 0.00000 1.00000 0.00000  8A     1
 ATCE    HG1                                                            2
 UIJ     HG1      0.032   0.033   0.034  -0.006   0.0     0.0
 ATCO    HG2      0.09930 0.11460 0.96730 0.00000 1.00000 2.00000 16B     1
 ATCE    HG2      0.00010 0.00010 0.00010                               1
 UIJ     HG2      0.035   0.033   0.036  -0.006  -0.003   0.003
 ATCO    NB       0.19270 0.44080 0.74360 0.00000 1.00000 5.00000 16B     1
 ATCE    NB       0.00010 0.00010 0.00020                               1
 UIJ     NB       0.031   0.026   0.028   0.001   0.002   0.003
 ATCO    S        0.25000 0.25000 0.85360 0.00000 1.00000 6.00000  8A     1
 ATCE    S        0.00000 0.00000 0.00050                               2
 UIJ     S        0.030   0.025   0.029  -0.003   0.0     0.0
 ATCO    F 1      0.18080 0.55750 0.72750 0.00000 1.00000-1.00000 16B     1
 ATCE    F 1      0.00040 0.00040 0.00150                               1
 UIJ     F 1      0.058   0.027   0.061  -0.003  -0.001   0.006
 ATCO    F 2      0.19600 0.42710 0.54390 0.00000 1.00000-1.00000 16B     1
 ATCE    F 2      0.00050 0.00060 0.00100                               1
 UIJ     F 2      0.061   0.063   0.039   0.006   0.004   0.009
 ATCO    F 3      0.18810 0.43800 0.94860 0.00000 1.00000-1.00000 16B     1
 ATCE    F 3      0.00060 0.00070 0.00100                               1
 UIJ     F 3      0.063   0.058   0.037   0.003   0.004  -0.006
 ATCO    F 4      0.09050 0.42330 0.73660 0.00000 1.00000-1.00000 16B     1
 ATCE    F 4      0.00040 0.00080 0.00200                               1
 UIJ     F 4      0.039   0.054   0.057  -0.002   0.011   0.011
 ATCO    F 5      0.29640 0.45700 0.75360 0.00000 1.00000-1.00000 16B     1
 ATCE    F 5      0.00040 0.00060 0.00100                               1
 UIJ     F 5      0.029   0.048   0.071   0.007  -0.013   0.007
 ATCO    O 1      0.21350 0.31180 0.75460 0.00000 1.00000-2.00000 16B     1
 ATCE    O 1      0.00060 0.00060 0.00100                               1
 UIJ     O 1      0.043   0.018   0.049   0.004  -0.012   0.004
 ATCO    O 2      0.19550 0.20770 0.94460 0.00000 1.00000-2.00000 16B     1
 ATCE    O 2      0.00050 0.00060 0.00100                               1
 UIJ     O 2      0.034   0.032   0.033  -0.009   0.004  -0.003
*EOS

5 Appendix                                                         Appendix 5

 
CONNECTION
 DIST    HG1       1 0 0 0HG2       1 0 0-1 2.559  0.001         1
 VECT    HG1       1 0 0 0HG2       1 0 0-1 0.0993 0.1146-0.0327
 DIST    HG1       1 0 0 0HG2       2 0 0-1 2.559  0.001         1
 VECT    HG1       1 0 0 0HG2       2 0 0-1-0.0993-0.1146-0.0327
 DIST    NB        1 0 0 0F 1       1 0 0 0 1.845  0.011         1
 VECT    NB        1 0 0 0F 1       1 0 0 0-0.0199 0.1167-0.0161
 DIST    NB        1 0 0 0F 2       1 0 0 0 1.858  0.014         1
 VECT    NB        1 0 0 0F 2       1 0 0 0 0.0033-0.0137-0.1997
 DIST    NB        1 0 0 0F 3       1 0 0 0 1.880  0.015         1
 VECT    NB        1 0 0 0F 3       1 0 0 0-0.0046-0.0228 0.2050
 DIST    NB        1 0 0 0F 4       1 0 0 0 1.854  0.011         1
 VECT    NB        1 0 0 0F 4       1 0 0 0-0.1022-0.0178-0.0070
 DIST    NB        1 0 0 0F 5       1 0 0 0 1.887  0.011         1
 VECT    NB        1 0 0 0F 5       1 0 0 0 0.1037 0.0162 0.0100
 DIST    NB        1 0 0 0O 1       1 0 0 0 2.070  0.013         1
 VECT    NB        1 0 0 0O 1       1 0 0 0 0.0208-0.1290 0.0110
 DIST    S         1 0 0 0O 1       1 0 0 0 1.479  0.015         1
 VECT    S         1 0 0 0O 1       1 0 0 0-0.0365 0.0618-0.0990
 DIST    S         1 0 0 0O 2       1 0 0 0 1.454  0.014         1
 VECT    S         1 0 0 0O 2       1 0 0 0 0.0365-0.0618-0.0990
 DIST    HG2       1 0 0 0F 1       5 0-1 0 2.9438 0.0147        1
 VECT    HG2       1 0 0 0F 1       5 0-1 0 0.0815-0.0571 0.2602
 DIST    HG2       1 0 0 0F 1       4-1 0 0 3.2812 0.0164        1
 VECT    HG2       1 0 0 0F 1       4-1 0 0-0.1685 0.0779 0.0102
 DIST    HG2       1 0 0 0F 2       7 0-1 0 3.2566 0.0162        1
 VECT    HG2       1 0 0 0F 2       7 0-1 0-0.0453 0.0625 0.3266
 DIST    HG2       1 0 0 0F 3       7 0-1-1 2.8034 0.0140        1
 VECT    HG2       1 0 0 0F 3       7 0-1-1-0.0374 0.0734-0.2687
 DIST    HG2       1 0 0 0F 5      14 0 0 0 2.9419 0.0147        1
 VECT    HG2       1 0 0 0F 5      14 0 0 0 0.1043-0.0716-0.2137
 DIST    HG2       1 0 0 0F 5       4-1 0 0 2.9807 0.0149        1
 VECT    HG2       1 0 0 0F 5       4-1 0 0-0.0529 0.1784 0.0363
 DIST    HG2       1 0 0 0O 2       1 0 0 0 2.2808 0.0114        1
 VECT    HG2       1 0 0 0O 2       1 0 0 0 0.0962 0.0931-0.0227
*EOS


5 Appendix                                                         Appendix 5

 
BONDS
 BOND     HG1     HG2      1  2.5591 0.0012 0.0993 0.1146-0.0327
 BOND     HG1     HG2      1  2.5591 0.0012-0.0993-0.1146-0.0327
*EOS
 
CONDITIONS
 CELL    X   0.71069       293        18        47        15
 INT     X   0.71069       293         0   1.15         2974
 HKL     S         0        23       -20        20       -11        11
 STD              10         0         2             0.013
 STD               0        10         2             0.012
 ABS     E  37.9       0.702     1.496
 EQIV           2974      1515   0.036
 REFN    F   0.071     0.014     3.6      -6.1    9999999999         0
 STAT    F   0.048     0.045                 0.048         0         0
 VAR            1497        92         2        28         0        62
*EOS
 
FORMULA
 FORL    HG  3.    NB  2.    F  10.    S   1.    O   4.
*EOS
 
CRYSTAL
 EXTN    LAR       .3E-04
 EXTE    LAR       .1E-04
*EOS
 
COMMENTS
 FORM     HG3 (NB F5)2 S O4
 ABS      DIFABS correction
 SSOL     Patterson diagram and difference synthesis
 SCAT     SHELX76 (S,F,O)
 SCAT     International Tables for Xray crystallography Vol 4 (Hg,Nb)
 WGHT     k*(sigma(counting)+g*F**2)**(-1), k=0.9077, g=0.00035
 PROG     SHELX76
 PROG     DIFABS
 SYOP     Hall symbol interpretive routine from XTAL
 SPOS     Altermatt/Brown algorithm (to be published)
*EOS
 
END