A Semi‐Polar Form of Fourier Series and Its Use in Crystal Structure Analysis

Autor:	Joseph S. Lukesh
Rok vydání:	1947
Předmět:	Physics Crystallography Simple (abstract algebra) Computation Discrete Fourier series Mathematical analysis General Physics and Astronomy Crystal structure Polar coordinate system Unit (ring theory) Fourier series
Zdroj:	Journal of Applied Physics. 18:321-326
ISSN:	1089-7550 0021-8979
DOI:	10.1063/1.1697653
Popis:	A new form of Fourier series for crystal structure analysis is developed and a graphical method of summation described. The procedure is designed to permit simple and fairly rapid computation and recording of the density contributions of all planes at all points in the unit cell. Its particular advantage is in the case of centrosymmetrical projections where phases must be assigned experimentally. Adjustment of phases involves only re‐addition of numbers rather than a complete new summation. The method also requires a minimum of equipment which is easily constructed at negligible expense.
Databáze:	OpenAIRE
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