Accession Number:

AD0006196

Title:

A GRAPHICAL METHOD OF EVALUATING CERTAIN CRYSTALLOGRAPHIC STRUCTURE FACTORS

Descriptive Note:

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INSULATION RESEARCH

Personal Author(s):

• Grenville-Wells, H. J.

Report Date:

1953-02-01

Pagination or Media Count:

16.0

Abstract:

A graphical method is described for evaluating structure factor s of the form Fhk o to n of f sub r hk cos 2 pi hx sub r ky sub r and electron density expressions of the form rhoX,Y sum over H sum over K Fhk cos 2 pihX kY. The method depends upon the fact that if in a 2- dimensional001 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 X2, Y2 and passing through the origin will cut the normal to Fhk0 at the value of cos 2 pihx 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