Binding Energy of an Individual Atom as a Fundamental Characteristic of the Solid Body Properties
https://doi.org/10.1134/S2304487X21010077
Abstract
A relationship between macroscopic parameters, such as the Young’s modulus in Hooke’s law, the speed of sound, and the Debye temperature, and the binding energy of an individual atom has been analyzed. A formula for the elastic deformation modulus is proposed. The speed of sound in isotropic solids is determined by the elastic properties of the substance. A relation between the speed of sound and the binding energy of an individual atom in a solid is obtained. A simple formula for the speed of sound in a metal rod is established. The relationship between the characteristic Debye temperature and the binding energy of an ion in the lattice of the solid is proposed. It is shown that the Young’s modulus in Hooke’s law, the speed of sound, and the Debye temperature are not independent, but are determined by the ion binding energy in the crystal lattice.
Keywords
elastic deformation,
Young’s modulus,
Hooke’s law,
speed of sound,
Debye characteristic tem- perature,
binding energy of an atom,
atomic concentration
Supporting agencies: N. P. Kalashnikov is grateful to the NRNU MEPhI Competitiveness Program for research support
About the Authors
K. M. Erokhin
Moscow Polytechnic University
Russian Federation
Russian Federation
107023
Moscow
N. P. Kalashnikov
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
115409
Moscow
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For citations:
Erokhin K.M., Kalashnikov N.P. Binding Energy of an Individual Atom as a Fundamental Characteristic of the Solid Body Properties. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2021;10(1):5-11. (In Russ.) https://doi.org/10.1134/S2304487X21010077
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