Theory of the Vibration of Simple Cubic Lattices with Nearest Neighbor Interactions

Abstract

A crystalline solid is generally considered to be an assembly of almost periodically spaced atoms or molecules. A set of periodic atomic equilibrium positions is postulated to exist such that no net force acts on any atom when all are at their equilibrium positions. Thermal excitation (or quantum mechanical zero point energy at low temperatures) causes the atoms to vibrate about these equilibrium positions.

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Document Details

Document Type
Technical Report
Publication Date
Dec 31, 1954
Accession Number
AD1028555

Entities

People

  • Elliott W. Montroll

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Advanced Electronics
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Bessel Functions
  • Computational Science
  • Crystal Lattice Vibrations
  • Crystal Lattices
  • Crystal Structure
  • Crystals
  • Cubic Lattices
  • Distribution Functions
  • Equations
  • High Temperature
  • Integrals
  • Low Temperature
  • Military Research
  • Random Variables
  • Thermodynamic Properties
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Materials Science and Engineering.
  • Quantum Chemistry

Technology Areas

  • Quantum Computing
  • Space