Skip to main content
padlock icon - secure page this page is secure

Generalized Einstein-Model for High-T, P Thermal Properties of Al Crystal

Buy Article:

$106.34 + tax (Refund Policy)

Due to intricate calculations for phonon density-of-states (p-dos), full-lattice dynamics are hardly ever used to derive thermodynamics at high-T condition. Instead, either continuum Debye-model or mono-frequency Einsteinmodel (EM) at the quasi-harmonic level is frequently employed with desirable accuracy. Conventional EM assumes crystal as identical independent harmonic oscillators and p-dos is replaced by delta function. Thus, EM ignores correlation between vibrating atoms/ions in a crystal. We propose new method to estimate generalized (single) Einstein frequency ωE or equivalent temperature E. It is based on the fact that the interaction potential and thus the binding energy are asymmetric about the equilibrium lattice constant. This asymmetry in the binding energy is the cause of thermal expansion, and based on this energy functional E is deduced. Anharmonicity in E is parameterized and it is shown to be related to Gr√ľneisen parameter. This generalized EM is used to deduce various high-T thermal properties of fcc-Al, and the shock Hugoniot. Results are compared and discussed in light of other findings.
No Reference information available - sign in for access.
No Citation information available - sign in for access.
No Supplementary Data.
No Article Media
No Metrics

Keywords: Aluminum; Einstein-Model; Shock Hugoniot; Thermal Properties

Document Type: Research Article

Affiliations: 1: Department of Physics, Sardar Patel University, Vallabh Vidyanagar 388120, Gujarat, India 2: Department of Physics, School of Sciences, Gujarat University, Ahmedabad 380009, Gujarat, India

Publication date: November 1, 2016

More about this publication?
  • ADVANCED SCIENCE LETTERS is an international peer-reviewed journal with a very wide-ranging coverage, consolidates research activities in all areas of (1) Physical Sciences, (2) Biological Sciences, (3) Mathematical Sciences, (4) Engineering, (5) Computer and Information Sciences, and (6) Geosciences to publish original short communications, full research papers and timely brief (mini) reviews with authors photo and biography encompassing the basic and applied research and current developments in educational aspects of these scientific areas.
  • Editorial Board
  • Information for Authors
  • Subscribe to this Title
  • Ingenta Connect is not responsible for the content or availability of external websites
  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
X
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more