Open AccessTHE FOURIER AND THE NEW POINT DIAGRAM SYNTHESES IN X- RAY CRYSTALLOGRAPHY
Author(s) -
Sheng-Min Yu
Publication year - 1947
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.7.81
Subject(s) - diagram , fourier transform , fourier series , matrix (chemical analysis) , point (geometry) , convergence (economics) , basis (linear algebra) , crystal (programming language) , physics , algorithm , computer science , mathematical analysis , mathematics , materials science , geometry , quantum mechanics , economics , programming language , economic growth , database , composite material
A newly developed synthesis of X-ray data for crystal analysis, called the point diagram synthesis, is compared with the classical Fouriers. The fundamental assumption in the method s first explained. A correlation matrix of index 10 is then quoted. Some mathematical properties of the correlation matrices, that is, the absolute convergence, and the h- and μ-summation rules are described and illustrated. The method is next applied in parallel with the Fouriers to an arbitrary structure along with its two component structures. The crystal NaCl is next studied, using the actual experimental data. It is shown that on the basis of exactly the same experimental data the inormation given by the two types of syntheses are entirely different. Conclusions about the method drawn in the previous articles are then discussed in the light of the new studies and approved once more.