Sayre, David

SOURCE From Haberman and Sayre, David W. Taylor Model Basin Report 1143, 1958. 

HABERMAN, W. L. and SAYRE, R. M. David Taylor Model Basin Report No 1143 (Oct 1958) Motion of rigid and fluid spheres in stationary and moving liquids inside cylindrical tubes. 

This formula is also known as Sayre equation, since David Sayre discovered around 1952 a similar expression that was later confirmed by the theoretical derived Z2 formula. The practical meaning of the Z2 formula is that the sign S of the normalised structure factor amplitude Eh depends on the signs of structure factors Ek and Eh-k- For example, if Ek is positive and Eh-k is negative, the product of these two is negative ( + => - ) and hence the... 

W. L. Haberman R. M. Sayre (1958) Motion of Rigid and Fluid Spheres in Stationary and Moving Liquids Inside Cylindical Tubes, David Taylor Model Basin Report No. 1143, U. S. Navy, Washington, D. C. 

David Sayre, Computational Crystallography, Clarendon Press, Oxford, UK, 1982. 

Why was crystallography such an attractive field for women One viewpoint is that the Braggs and their crystallographic heirs provided a women-friendly environment. Anne Sayre, spouse of crystallographer David Sayre, is convinced that, at least in crystallography, it was the nonaggressive and friendly attitudes of the supervisors that were so vital to the encouragement of women ... 

Work on direct methods was continued independently by Jerome Karle and Herbert Hauptman, ° Joseph Gillis, William H. Zachariasen, David Sayre, William Cochran, and Isabella Karle. Phase relationships were clearly found for the crystal structure of deca-borane (which is centrosymmetric), but were not so clear for some other structures. Gillis showed, however, that often certain inequalities were nearly satisfied, and this observation led to subsequent investigations of the probability relationships among the structure factors. Karle and Hauptman went on to show how the use of inequalities can restrict the range of phase angles for non centrosymmetric structures.. All of these studies led to the direct methods now used routinely in small-molecule crystallographic laboratories. 

The early years of X-ray crystallography in the United States. In Structural Studies on Molecules of Biological Interest A Volume in Honor of Professor Dorothy Hodgkin. Guy Dodson, Jenny P. Glusker, and David Sayre, eds.. Clarendon Press, Oxford, (1981), pp. 35-42. 

The best-known equation for direct phase determination is that of David Sayre 78] ... 

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