Accession Number : AD0006196


Title :   A GRAPHICAL METHOD OF EVALUATING CERTAIN CRYSTALLOGRAPHIC STRUCTURE FACTORS


Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INSULATION RESEARCH


Personal Author(s) : Grenville-Wells, H J


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/006196.pdf


Report Date : Feb 1953


Pagination or Media Count : 16


Abstract : A graphical method is described for evaluating structure factor s of the form F(hk) = o to n of f sub r (hk) cos 2 pi (hx sub r + ky sub r) and electron density expressions of the form rho(X,Y) = sum over H sum over K F(hk) cos 2 pi(hX + kY). The method depends upon the fact that if in a 2- dimensional(001) projection of a unit cell the normal to the planes (hk0) is graduated with the appropriate cosine function giving the phases of points along the normal, then a circle, having its center at (X/2, Y/2) and passing through the origin will cut the normal to F(hk0) at the value of cos 2 pi(hx + ky). The practical limitations and general utility of the construction are discussed.


Descriptors :   *CRYSTAL STRUCTURE , GRAPHS , FUNCTIONS(MATHEMATICS) , CELLS


Subject Categories : Crystallography


Distribution Statement : APPROVED FOR PUBLIC RELEASE