Table 2.3.2.3

Rossmann, M. G.; Arnold, E.

doi:10.1107/97809553602060000556

International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by U. Shmueli

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International Tables for Crystallography (2006). Vol. B. ch. 2.3, p. 240 | 1 | 2 |

Table 2.3.2.3

M. G. Rossmann^a ^* and E. Arnold^b

^aDepartment of Biological Sciences, Purdue University, West Lafayette, Indiana 47907, USA, and ^bCABM & Rutgers University, 679 Hoes Lane, Piscataway, New Jersey 08854-5638, USA
Correspondence e-mail: mgr@indiana.bio.purdue.edu

Table 2.3.2.3 | top | pdf |
Position of Harker sections within a Patterson

Symmetry element	Form of
(a) Harker planes
Axes parallel to the b axis:
(i) 2, 3, $[\bar{3}]$ , 4, $[\bar{4}]$ , 6, $[\bar{6}]$
(ii) $[2_{1}]$ , $[4_{2}]$ , $[6_{3}]$	$[P(x, {1 \over 2}, z)]$
(iii) $[3_{1}]$ , $[3_{2}]$ , $[6_{2}]$ , $[6_{4}]$	$[P(x, {1 \over 3}, z)]$
(iv) $[4_{1}]$ , $[4_{3}]$	$[P(x, {1 \over 4}, z)]$
(v) $[6_{1}]$ , $[6_{5}]$	$[P(x, {1 \over 6}, z)]$
(b) Harker lines
Planes perpendicular to the b axis:
(i) Reflection planes
(ii) Glide plane, $[\hbox{glide} = {1 \over 2}a]$	$[P({1 \over 2}, y, 0)]$
(iii) Glide plane, $[\hbox{glide} = {1 \over 2}c]$	$[P(0, y, {1 \over 2})]$
(iv) Glide plane, $[\hbox{glide} = {1 \over 2} (a + c)]$	$[P({1 \over 2}, y, {1 \over 2})]$
(v) Glide plane, $[\hbox{glide} = {1 \over 4} (a + c)]$	$[P({1 \over 4}, y, {1 \over 4})]$
(vi) Glide plane, $[\hbox{glide} = {1 \over 4} (3a + c)]$	$[P({3 \over 4}, y, {1 \over 4})]$
(c) Special Harker planes
Axes parallel to or containing body diagonal (111), valid for cubic space groups only: $[\matrix{& & \hbox{Equation of plane}\hfill\cr && lx + my + nz - p = 0\hfill\cr \hbox{(i)}\hfill & 3\hfill & l = m = n = \cos\ 54.73561^{\circ} = 0.57735\hfill\cr & & p = 0\hfill\cr \hbox{(ii)}\hfill & 3_{1}\hfill & l = m = n = \cos\ 54.73561^{\circ} = 0.57735\hfill\cr & & p = \sqrt{3}/3\hfill}]$ Rhombohedral threefold axes produce analogous Harker planes whose description will depend on the interaxial angle.