Bragg’s Law

Author(s):  
Brian Cantor

The diffraction of X-rays is used as the main method for determining the atomic and molecular structures of inorganic and biological materials. The basic law of diffraction was discovered by Lawrence Bragg when he was a student at Cambridge University and he was just 22 years old. Bragg’s law explains how the angle of a diffracted X-ray beam varies with the wavelength of the X-rays and the spacing of the atoms and molecules in the material. This chapter examines the way X-rays are generated and scattered by electrons, atoms and crystals; the use of structure factors and Fourier transforms to calculate the intensity of the scattered X-rays; and the effect of using electrons or neutrons instead of X-rays. Bragg was born and brought up in Adelaide in Australia. He discovered Bragg’s law with the help of his father, William, after they had moved to England. Lawrence was a Professor at Manchester University, Cambridge University, and the Royal Institution; contributed to the development of range-finding, asdic, and sonar during the First and Second World Wars; and supervised Crick and Watson when they discovered the structure of DNA.

Author(s):  
W. Chiu ◽  
M.F. Schmid ◽  
T.-W. Jeng

Cryo-electron microscopy has been developed to the point where one can image thin protein crystals to 3.5 Å resolution. In our study of the crotoxin complex crystal, we can confirm this structural resolution from optical diffractograms of the low dose images. To retrieve high resolution phases from images, we have to include as many unit cells as possible in order to detect the weak signals in the Fourier transforms of the image. Hayward and Stroud proposed to superimpose multiple image areas by combining phase probability distribution functions for each reflection. The reliability of their phase determination was evaluated in terms of a crystallographic “figure of merit”. Grant and co-workers used a different procedure to enhance the signals from multiple image areas by vector summation of the complex structure factors in reciprocal space.


1998 ◽  
Vol 41 (3) ◽  
pp. 895-900
Author(s):  
ELISABETH ALBANIS

A history of the Jews in the English-speaking world: Great Britain. By W. D. Rubinstein, Basingstoke: Macmillan, 1996. Pp. viii+539. ISBN 0-312-12542-9. £65.00.Pogroms: anti-Jewish violence in modern Russian history. Edited by John D. Klier and Shlomo Lambroza. Cambridge: Cambridge University Press, 1992. Pp. xx+393. ISBN 0-521-40532-7. £55.00.Western Jewry and the Zionist project, 1914–1933. By Michael Berkowitz. Cambridge: Cambridge University Press, 1997. Pp. xvi+305. ISBN 0-521-47087-0. £35.00.Three books under review deal from different perspectives with the responses of Jews in Western and Eastern Europe to the increasing and more or less violent outbursts of anti-Semitism which they encountered in the years from 1880 to the Second World War. The first two titles consider how deep-rooted anti-Semitism was in Britain and Russia and in what sections of society it was most conspicuous, whereas the third asks how Western Jewry became motivated to support the Zionist project of settlement in Palestine; all three approach the question of how isolated or intergrated diaspora Jews were in their respective countries.


2019 ◽  
Vol 14 (2) ◽  
Author(s):  
Piyush Sinha ◽  
Neelam Sinha

High energy electron scattering is a very powerful tool for studying geometrical details of nuclear structure. The studies provide information on static distribution of charge and magnetization in nuclei. As the interaction is relatively weak so that in the scattering process the internal structure of the target nucleus is not significantly disturbed. Using electrons as projectile, we can study how transition matrix elements vary with q2 and map out the Fourier transforms of the transition charge and current densities called Form Factors or Structure factors. In the high energy electron scattering we can know the details of the spatial distribution of transition charge and current density. In this paper we have formulated CFF for 5He nucleus


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