Abstract
It is shown that a phenomenological relation exists between the Debye temperature θ (in degree Kelvin) and the surface energy Γ (in ergs/cm2) of cubic solids: , where M is the atomic weight. This relation is derived theoretically in the Debye isotropic approximation by assuming that the interatomic potential is central. No restrictions are imposed on the range of the potential. The relation is obeyed very well by the observed values of θ and Γ in the case of many solids.
References
10
Referenced
9
10.1088/0305-4608/3/4/012
10.1063/1.1735524
{'key': 'S0884291400009663_ref006', 'volume-title': 'Theory of Lattice Dynamics in the Harmonic Approximation; Solid State Phys. Suppl.', 'volume': '3', 'author': 'Maradudin', 'year': '1971'}
/ Theory of Lattice Dynamics in the Harmonic Approximation; Solid State Phys. Suppl. by Maradudin (1971){'key': 'S0884291400009663_ref008', 'volume-title': 'Am. Inst. of Phys. Handbook,', 'author': 'Gray', 'year': '1972'}
/ Am. Inst. of Phys. Handbook, by Gray (1972)10.1016/0039-6028(80)90189-2
{'key': 'S0884291400009663_ref010', 'volume-title': 'Theory of Dislocations', 'author': 'Hirth', 'year': '1982'}
/ Theory of Dislocations by Hirth (1982){'key': 'S0884291400009663_ref007', 'volume-title': 'Handbook of Materials Science,', 'author': 'Lynch', 'year': '1974'}
/ Handbook of Materials Science, by Lynch (1974)10.1080/14786437408213555
10.1080/14786436508228121
{'key': 'S0884291400009663_ref003', 'first-page': '344', 'volume-title': 'Theory of Alloy Phase Formation,', 'author': 'Miedema', 'year': '1980'}
/ Theory of Alloy Phase Formation, by Miedema (1980)
Dates
Type | When |
---|---|
Created | 17 years, 11 months ago (Sept. 27, 2007, 5:50 a.m.) |
Deposited | 4 years, 6 months ago (Feb. 24, 2021, 4:30 p.m.) |
Indexed | 2 years, 2 months ago (July 2, 2023, 7:28 p.m.) |
Issued | 35 years, 4 months ago (May 1, 1990) |
Published | 35 years, 4 months ago (May 1, 1990) |
Published Online | 14 years, 7 months ago (Jan. 31, 2011) |
Published Print | 35 years, 4 months ago (May 1, 1990) |
@article{Tewary_1990, title={A relation between the surface energy and the Debye temperature for cubic solids}, volume={5}, ISSN={2044-5326}, url={http://dx.doi.org/10.1557/jmr.1990.1118}, DOI={10.1557/jmr.1990.1118}, number={5}, journal={Journal of Materials Research}, publisher={Springer Science and Business Media LLC}, author={Tewary, V.K. and Fuller, E.R.}, year={1990}, month=may, pages={1118–1122} }