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

International Tables for Crystallography (2006). Vol. B. ch. 2.3, p. 243   | 1 | 2 |

Figure 2.3.3.3 

M. G. Rossmanna* and E. Arnoldb

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

[Figure 2.3.3.3]
Figure 2.3.3.3

A Patterson with coefficients [({\bf F}_{NH1} - {\bf F}_{NH2})^{2}] will be equivalent to a Patterson whose coefficients are [(AB)^{2}]. However, [{AB} = - {\bf F}_{H1} + {\bf F}_{H2}]. Thus, a Patterson with [(AB)^{2}] coefficients is equivalent to having negative atomic substitutions in compound 1 and positive substitutions in compound 2, or vice versa. Therefore, the Patterson will contain positive peaks for vectors of the type [H1 \cdot H1] and [H2 \cdot H2], but negative vector peaks for vectors of type [H1 \cdot H2].