DOI: 10.1017/s030500410001714x. On the stability of crystal lattices. II

On the stability of crystal lattices. II

10.1017/s030500410001714x

Crossref journal-article

Cambridge University Press (CUP)

Mathematical Proceedings of the Cambridge Philosophical Society (56)

Abstract

On the assumption that the potential energy of the three cubic lattices of the Bravais type consists of two terms, an attractive one proportional tor−mand a repulsive one proportional tor−n,n>m,stability conditions are expressed in the form that two functions of the numbernshould be monotonically increasing. These functions have been calculated numerically forn= 4 to 15, and are represented as curves with the abscissan. The result is that the face-centred lattice is completely stable, that the body-centred lattice is unstable for large exponents in the law of force, and that the simple lattice is always unstable,—in complete agreement with the results of Part I.

Bibliography

Misra, R. D. (1940). On the stability of crystal lattices. II. Mathematical Proceedings of the Cambridge Philosophical Society, 36(2), 173â182.

Authors 1

Rama Dhar Misra (first)

References 7 Referenced 142

10.1017/S0305004100017138
10.1524/zkri.1939.101.1.383 / Z. Kristallogr. by Molière (1939)
{'key': 'S030500410001714X_ref007', 'volume-title': 'Modern analysis', 'author': 'Whittaker', 'year': '1927'} / Modern analysis by Whittaker (1927)
10.1002/andp.19203671103
10.1002/andp.19213690304
{'key': 'S030500410001714X_ref004', 'volume-title': 'Funktionen Tafeln', 'author': 'Jahnke', 'year': '1933'} / Funktionen Tafeln by Jahnke (1933)
10.1098/rspa.1925.0047

Dates

Type	When
Created	16 years, 9 months ago (Nov. 7, 2008, 10:59 a.m.)
Deposited	3 years, 11 months ago (Sept. 19, 2021, 11:31 p.m.)
Indexed	1 day ago (Aug. 23, 2025, 9:55 p.m.)
Issued	85 years, 4 months ago (April 1, 1940)
Published	85 years, 4 months ago (April 1, 1940)
Published Online	16 years, 10 months ago (Oct. 24, 2008)
Published Print	85 years, 4 months ago (April 1, 1940)

Funders 0

None

BibTeX

@article{Misra_1940, title={On the stability of crystal lattices. II}, volume={36}, ISSN={1469-8064}, url={http://dx.doi.org/10.1017/s030500410001714x}, DOI={10.1017/s030500410001714x}, number={2}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, publisher={Cambridge University Press (CUP)}, author={Misra, Rama Dhar}, year={1940}, month=apr, pages={173–182} }

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