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Correction of Diffraction Amplitudes for Lorentz and Polarization Factors

 

作者: M. J. Buerger,   Gilbert E. Klein,  

 

期刊: Journal of Applied Physics  (AIP Available online 1946)
卷期: Volume 17, issue 4  

页码: 285-306

 

ISSN:0021-8979

 

年代: 1946

 

DOI:10.1063/1.1707715

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The corrections for Lorentz and polarization factors for trial and error crystal structure computations are discussed, following the general method recently presented for correcting x‐ray diffraction data used in Fourier syntheses. The Lorentz correction has the form (1/S) csc y&hook;, whereSis a scale constant characteristic of the reciprocal lattice level and whose form varies with the method of recording the data. The scale constant is eliminated by appropriate timing of the exposure. When many trial and error computations have to be made, there are advantages in using a scheme involving a correction factor (csc y&hook;)½instead of csc y&hook;. Tables are provided for these functions, for the polarization correction and for the combined Lorentz‐polarization correction which is used in the special case of zero‐level photographs. Tables are also provided for the functions (h2+k2)½and (h2+k2+hk)½, which are useful for computing the argument for the zero‐level corrections of tetragonal and hexagonal crystals.

 

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