Protein Crystallography: A Concise Guide by Eaton E. Lattman;Patrick J. Loll

By Eaton E. Lattman;Patrick J. Loll

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W. James (G. , London, 1954) overlaps considerably with this chapter (and reveals all the cheating that we did). James was also an explorer who reached the South Pole. html, provides many di√raction pattern pictures and a variety of tutorials that are relevant both to this chapter and to later ones. Your authors learned a lot from this site. Thanks, Kevin. 1 The Electron Density Function in Three Dimensions We started our discussion of di√raction using one- and two-dimensional crystals as examples because they are easy to visualize.

Wonderful physical insights. The Optical Principles of the Di√raction of X-Rays by R. W. James (G. , London, 1954) is a bible for the more physically inclined. Many of our figures are adapted from Crystal Structure Analysis: A Primer, 2nd edition, by J. P. Glusker and K. N. Trueblood (Oxford University Press, New York, 1985). This book is more oriented to small-molecule crystallography, but the early chapters that describe crystal di√raction show great clarity and physical insight. Inexpensive. X-ray solution scattering is making gigantic strides because of new algorithms for data analysis, and because of better instrumentation.

Outgoing rays in the direction u are shown for both the original and the new position of the hole. The dashed line is drawn to help us compare the positions of the wave crests before and after the hole position is shifted. It shows that the wave crests have changed position in the new ray, meaning that the phase of the di√racted ray has changed. In general, for a translation of qz the resultant phase shift is 2pqz sinu/l. For a hole spacing of a in the onedimensional crystal Bragg’s law gives sinu = nl/a.

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