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X-Ray Determination of a Crystal System

Published online by Cambridge University Press:  10 January 2013

C. Runge
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Extract

The Debye Scherrer method (1917) of determining a crystal system by observation of X-ray interferences on randomly oriented crystal particles amounts in the mathematical problem to deriving quadratic equations for three variables from unknown integer multiples of these variables. In my opinion it is not only physically, but also mathematically reasonable to treat this problem from a geometrical point of view. Let L,M, and N be three non-parallel vectors. Vectors P can be derived by multiplication with the integers n1, n2 and n3, so that

P = n1L + n2 M + n3 N.

Type
Research Article
Information
Powder Diffraction , Volume 7 , Issue 4 , December 1992 , pp. 200 - 205
Copyright
Copyright © Cambridge University Press 1992

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References

Debye, P. & Scherrer, P. (1917) Diese Zeitschr. 18, 291–301.Google Scholar