A CRYSTALLOGRAPHIC LEAST SQUARES REFINEMENT PROGRAM FOR THE IBM 704: IDENTIFICATION PS XR3,

Abstract

The crystallographic least-squares program PS XR3 (Penn State X-Ray Program 3) is applied to an iterative procedure which adjusts unknown param eters-which are in this case the atomic co ordinates x sub i, Y sub i, Z sub i of a given crystal structure and the isotropic temperature factor B sub i of individual atoms-until the calculated structure factors F calc show the best agreement with the observed structure factors F obs. This is achieved by using the so called diagonal approximation of the least squares method. Since the crystal structure equations are highly non-linear, only the first linear terms of the Taylor expansion are used, and the initial solution must be approximately known and supplied to the computer via the so called co-ordinate deck read with the program. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1959
Accession Number
AD0418723

Entities

People

  • R. Pepinsky
  • V. Vand

Organizations

  • Pennsylvania State University

Tags

DTIC Thesaurus Topics

  • Agreements
  • Computers
  • Crystal Structure
  • Crystals
  • Data Science
  • Equations
  • Identification
  • Information Science
  • Least Squares Method
  • Mathematics
  • X Rays

Fields of Study

  • Chemistry

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra
  • Materials Science and Engineering.