International
Tables for
Crystallography
Volume G
Definition and exchange of crystallographic data
Edited by S. R. Hall and B. McMahon

International Tables for Crystallography (2006). Vol. G. ch. 2.4, pp. 48-50

Section 2.4.8. Stereochemistry and geometry at stereogenic centres

F. H. Allen,a* J. M. Barnard,b A. P. F. Cookb and S. R. Hallc

a Cambridge Crystallographic Data Centre, 12 Union Road, Cambridge, CB2 1EZ, England,bBCI Ltd, 46 Uppergate Road, Stannington, Sheffield S6 6BX, England, and cSchool of Biomedical and Chemical Sciences, University of Western Australia, Crawley, Perth, WA 6009, Australia
Correspondence e-mail:  allen@ccdc.cam.ac.uk

2.4.8. Stereochemistry and geometry at stereogenic centres

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The Cahn–Ingold–Prelog (CIP) notation (Cahn et al., 1966[link]; Prelog & Helmchen, 1982[link]) is available in the MIF definitions to specify the stereochemistry of a molecule. The CIP notation is restricted to tetrahedral atomic centres and to olefinic type stereogenic bonds, and the CIF approach is unsuitable for describing molecules with partially known stereochemistry, molecules containing more complex geometries or substructural queries. The MIF data items representing stereochemical quantities are as follows:[Scheme scheme2]

The CIP stereochemical designators (R, S, E, Z, r, s, e, z etc.) are specified with the MIF data items _atom_cip and _bond_cip. The MIF atom-property data for the molecule (+)-3-bromocamphor are shown in Fig. 2.4.8.1[link]. In this the absolute configuration is expressed as the atom CIP values R, R and S for nodes 1, 3 and 4. The period in this example is used to indicate a null field.

[Figure 2.4.8.1]

Figure 2.4.8.1 | top | pdf |

CIP stereochemical descriptors for (+)-3-bromocamphor.

The stereogenic centre of a stereo group in a molecule has a relationship within that group that is specified by _define_stereo_relationship. Descriptions of the standard codes for _define_stereo_relationship are as follows.

absolute : The configuration of all stereogenic centres is exactly as described. This represents an enantiomerically pure compound with a known absolute configuration.

relative : The configuration of the stereogenic centres is only relative and the mirror reflection of the centres will also describe the same molecule. Only the configuration described in the MIF, or its mirror image, will be present in the molecule. This represents an enantiomerically pure compound with the described relative configuration.

racemic : The configuration of the stereogenic centres is only relative and the mirror reflection of the centres will also describe the same molecule. Both this configuration and its mirror image are present in a 1:1 ratio. This represents a racemic mixture of the molecule with the described relative configuration.

absolute_excess : The configuration of the stereogenic centres describes the absolute configuration of the excess component of a mixture of this configuration and its mirror reflection. This describes an enantiomeric excess in which the excess component has the described absolute configuration.

relative_excess : The configuration of the stereogenic centres is only relative. A mixture of this configuration and its mirror image is present, with one or other of the components in excess. This describes an enantiomeric excess mixture.

unknown : The configurational relationship between the stereo­genic centres is not known.

The geometry of each stereogenic centre is described individually in terms of a prototype geometrical model. The basic principles of this approach have been described elsewhere (Barnard et al., 1990[link]). The eight geometries currently defined for the MIF data item _stereo_geometry are given in Fig. 2.4.8.2[link]. They include the organic stereogenic geometries (the tetrahedron, the rectangular description of olefin-related compounds and the anti-rectangle used to describe allene-related systems) and the common archetypal metal coordination geometries (square planar, tetrahedral, trigonal bipyramidal, square pyramidal, octahedral and cubic). This list is non-exclusive and can be extended as required in later versions of the MIF dictionary.

[Figure 2.4.8.2]

Figure 2.4.8.2 | top | pdf |

Archetypal coordination geometries used in stereochemical definition of the MIF data item _stereo_geometry.

The vertex site of the geometrical model must be occupied by either an atom, an explicit or implicit hydrogen atom, or by an explicitly declared electron pair. In each case, there exist permutations of the enumerated vertices that, if applied, do not change the meaning of the description of the relevant stereo element. Thus, the MIF does not define a canonical ordering for citing geometric vertices and the comparison of two geometries requires the use of the permutation operators. These permutations are also indicated in Fig. 2.4.8.2[link].

For each stereogenic centre (defined by a _stereo_atom_id, or by _stereo_bond_id_1 and *_2), the atom sites forming the stereochemical element specified by a _stereo_geometry code are stored as a sequence of _stereo_vertex_id values. An example of the specification of absolute stereochemistry, including the ordered enumeration of the tetrahedral vertices for the four stereo­genic centres, is given in Fig. 2.4.8.3[link]. In this example, the null symbol (a period) is used to indicate an implicit hydrogen atom or an unshared electron pair.

[Figure 2.4.8.3]

Figure 2.4.8.3 | top | pdf |

Stereochemical data for menthyl-p-toluenesulfinate.

References

First citation Barnard, J. M., Cook, A. P. F. & Rohde, B. (1990). Beyond the structure diagram, edited by D. Bawden & E. Mitchell, pp. 29–41. Chichester: Ellis Horwood.Google Scholar
First citation Cahn, R. S., Ingold, C. K. & Prelog, V. (1966). Specification of molecular chirality. Angew. Chem. Intl Ed. Engl. 5, 385–415.Google Scholar
First citation Prelog, V. & Helmchen, G. (1982). Basic principles of the CIP-system and proposals for a revision. Angew. Chem. Intl Ed. Engl. 21, 567–583.Google Scholar








































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