A Caltech Library Service

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

Fine, Paul Charles (1939) The normal modes of vibration of a body-centered cubic lattice. Physical Review, 56 (4). pp. 355-359. ISSN 0031-899X. doi:10.1103/PhysRev.56.355.

See Usage Policy.


Use this Persistent URL to link to this item:


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.

Item Type:Article
Related URLs:
URLURL TypeDescription
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.
Issue or Number:4
Record Number:CaltechAUTHORS:FINpr39
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3642
Deposited By: Tony Diaz
Deposited On:22 Jun 2006
Last Modified:08 Nov 2021 20:11

Repository Staff Only: item control page