IJPAM: Volume 102, No. 3 (2015)

CONTRIBUTIONS OF DEBYE FUNCTIONS TO BOSONS AND
ITS APPLICATIONS ON SOME ND METALS, PART II

Muhammad A. Al-Jalali
Department of Physics
Faculty of Science
Taif University
Taif, AL-Haweiah, P.O. Box 888, Zip Code 21974, KINGDOM OF SAUDI ARABIA


Abstract. Internal thermal energy in solids contributes to vibrations (phonons) energy; spin waves (magnons) energy if solid has magnetism and fermions energy across very complicated mechanisms. Debye functions, mathematically, was estimated because they are considered a main term which controls in all equations of those contributions.

Semi-empirical equation has been obtained to nd (n$=$3,4,5) transition metals specific heat to calculate some important physical constants.

Numerical analyses gives an agreement with experimental results on nd transition metals. Comparison between theoretical and experimental was investigated.

Received: January 6, 2015

AMS Subject Classification: 62H10, 62P35, 74F05, 74H45, 81V19, 82C10, 82D35, 82D40

Key Words and Phrases: Debye functions, Bose-Einstein distribution, Phonons, magnons, fermions

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DOI: 10.12732/ijpam.v102i3.3 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 102
Issue: 3
Pages: 429 - 445


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