ScholarLens Back to search
1981•Physical review. B, Condensed matterRequires access

Debye temperatures for hexagonal crystals

David J. Singh, Y. P. Varshni

Open publisher page 43 citations

Abstract

The Debye temperatures of hexagonal crystals of 42 elements and compounds have been calculated from the elastic constants, by numerical integration and by Pynn's method. It is found that Pynn's method is inapplicable in certain cases; the cause of this is analyzed, and a modification of Pynn's method is suggested for these cases. The calculated Debye temperatures are compared with the calorimetric Debye temperatures, wherever data are available. Large discrepancies are pointed out for Pr, Dy, Ho, and Er, and small ones for Be, Mg, Y, Ti, Zr, Hf, and Tb.

About this research paper

What this paper is about

The Debye temperatures of hexagonal crystals of 42 elements and compounds have been calculated from the elastic constants, by numerical integration and by Pynn's method. It is found that Pynn's method is inapplicable in certain cases; the cause of this is analyzed, and a modification of Pynn's method is suggested for these cases. The calculated Debye temperatures are compared with the calorimetric Debye temperatures, wherever data are available. Large discrepancies are pointed out for Pr, Dy, Ho, and Er, and small ones for Be, Mg, Y, Ti, Zr, Hf, and Tb.

Why it matters

OpenAlex reports 43 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The Debye temperatures of hexagonal crystals of 42 elements and compounds have been calculated from the elastic constants, by numerical integration and by Pynn's method. It is found that Pynn's method is inapplicable in certain cases; the cause of this is analyzed, and a modification of Pynn's method is suggested for these cases. The calculated Debye temperatures are compared with the calorimetric Debye temperatures, wherever data are available. Large discrepancies are pointed out for Pr, Dy, Ho, and Er, and small ones for Be, Mg, Y, Ti, Zr, Hf, and Tb.

Key concepts: Debye model, Debye function, Debye, Hexagonal crystal system, Materials science, Debye length, Condensed matter physics, Thermodynamics

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
Debye temperatures for hexagonal crystals — Research Paper | ScholarLens