Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published August 15, 1939 | public
Journal Article Open

The normal modes of vibration of a body-centered cubic lattice

Abstract

An atomic model is set up for the purpose of finding the normal modes of vibration of a body-centered cubic lattice. A method is presented for selecting suitable atomic force constants from the macroscopic elastic properties of tungsten, which satisfy the isotropy condition but not the Cauchy relation. Actual solutions of the secular equation are then carried out under the assumption that each atom is affected by only its fourteen nearest neighbors. Numerical computations yield a frequency distribution characterized by two steep maxima. This is used in evaluating the specific heat and the intensity of reflection of x-rays as functions of temperature, and the results are compared with the Debye theory.

Additional Information

©1939 The American Physical Society. Received 26 June 1939. The author is greatly indebted to Dr. W. V. Houston for many valuable suggestions without which this work would not have been possible.

Files

FINpr39.pdf
Files (805.3 kB)
Name Size Download all
md5:1bb4a3976240b862cdc9781c11c04f36
805.3 kB Preview Download

Additional details

Created:
August 21, 2023
Modified:
October 16, 2023