PRESSURE DERIVATIVES OF THE ELASTIC CONSTANTS OF POTASSIUM,

Abstract

The elastic stiffness constants of single crystal potassium and their pressure derivatives have been measured at room temperature by the ultrasonic pulse echo method. The values found are: C = 1.88, C' = 0.281, B = 3.34 (units of 10 to the 10th power dyn-cmsq), dC/dP = 1.62, dC'/dP = 0.251, dB/dP = 3.97. The notation C = C44, C' = (C11-C12)/2, B= (C11+2C12)/3 has been used. The results have been interpreted in terms of Fuchs' theory of the electrostatic contribution to the shear stiffnesses of the alkali metals. The experimental observation that the elastic anisotropy, C/C', does not depend on pressure indicates that, as Daniels found for sodium, it is not necessary to include an ion core interaction or a Fermi contribution to the shear stiffnesses in order to account for the results. The latter conclusion is consistent with a spherical Fermi surface. The bulk modulus and its pressure dependence fit very well the simplest model of the binding energy. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 13, 1964
Accession Number
AD0617641

Entities

People

  • Charles S. Smith
  • Pamela A. Smith

Organizations

  • Case Western Reserve University

Tags

DTIC Thesaurus Topics

  • Alkali Metals
  • Anisotropy
  • Bulk Modulus
  • Chemistry
  • Crystals
  • Fermi Surfaces
  • Materials Science
  • Metals
  • Notation
  • Observation
  • Physical Properties
  • Physics
  • Potassium
  • Single Crystals
  • Stiffness

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.