DOI: 10.1063/1.447907. The influence of molecular motions on the stabilities and shapes of solid particles

The influence of molecular motions on the stabilities and shapes of solid particles

10.1063/1.447907

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

A conjecture of Gibbs, that the relative weakness of bonds at crystal edges and corners would cause rounding which is not predicted by his thermodynamic expression for stable crystal shapes, is evaluated in two ways. First, the vacancy distribution necessary for dynamic equilibrium between adjacent crystal rows or layers of different bond energies is derived. Then it is shown that minimization of the total free energy of two parts of a crystal with respect to their total vacancy concentration leads to the same vacancy distribution. Generalization of these results shows that the stabilities of particles which have a fixed number of sites are greatest when vacancies are so distributed as to equalize molecular fluxes between every pair of regions of different bonding energies. Rounding will occur when the mole fractions of vacancies required at corners and edges to maintain the molecular flux balance approach unity.

Bibliography

Searcy, A. W. (1984). The influence of molecular motions on the stabilities and shapes of solid particles. The Journal of Chemical Physics, 81(5), 2489â2491.

Authors 1

Alan W. Searcy (first)

References 10 Referenced 13

{'key': '2024021001103097300_r1'}
{'key': '2024021001103097300_r2', 'first-page': '145', 'volume': '81', 'year': '1885', 'journal-title': 'Bull. Soc. Min. France'} / Bull. Soc. Min. France (1885)
10.1039/df9490500013 / Discuss. Faraday Soc. (1949)
10.1103/PhysRev.82.87 / Phys. Rev. (1951)
{'key': '2024021001103097300_r5', 'first-page': '449', 'volume': '34', 'year': '1901', 'journal-title': 'Z. Krist.'} / Z. Krist. (1901)
10.1016/0022-4596(83)90062-2 / J. Solid State Chem. (1983)
{'key': '2024021001103097300_r7'}
{'key': '2024021001103097300_r8'}
{'key': '2024021001103097300_r9'}
10.1016/0036-9748(82)90405-7 / Scr. Metall. (1982)

Dates

Type	When
Created	22 years, 5 months ago (Feb. 28, 2003, 12:34 p.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 9:24 p.m.)
Indexed	1 month, 2 weeks ago (July 4, 2025, 9:24 a.m.)
Issued	40 years, 11 months ago (Sept. 1, 1984)
Published	40 years, 11 months ago (Sept. 1, 1984)
Published Print	40 years, 11 months ago (Sept. 1, 1984)

Funders 0

None

BibTeX

@article{Searcy_1984, title={The influence of molecular motions on the stabilities and shapes of solid particles}, volume={81}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.447907}, DOI={10.1063/1.447907}, number={5}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Searcy, Alan W.}, year={1984}, month=sep, pages={2489–2491} }

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