Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-27T16:47:30.879Z Has data issue: false hasContentIssue false
  • English
  • Français

Melting and Thermal Characteristics of Small Granular Particles

Published online by Cambridge University Press:  28 February 2011

Ping Sheng  and
Min-Yao Zhou
Ping Sheng
Affiliation:
Exxon Research and Engineering Co., Rt. 22 East, Clinton Township, Annandale, NJ 08801
Min-Yao Zhou
Affiliation:
Exxon Research and Engineering Co., Rt. 22 East, Clinton Township, Annandale, NJ 08801
Get access

Abstract

We present results of theoretical calculations on the thermal characteristics of small granular particles. By using the selfconsistent Einstein model with a Morse interaction potential, it is shown that Debye temperature drops significantly for particle sizes below 50Å, a phenomenon observed experimentally. Melting temperature of small particles is calculated using a generalized Lennard-Jones-Devonshire theory. Depression of the melting point by as much as 60% is obtained from particles <10Å in size. Consideration of the constraining effect of the elastic matrix show that under the condition of tight coupling with the matrix the melting point of small particles may be significantly enhanced.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 195: Symposium S – Physical Phenomena in Granular Materials , 1990 , 579
Copyright
Copyright © Materials Research Society 1990

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Pawlow, P., Z. Physik. Chem. 65, 545 (1909).Google Scholar
2. Unruh, K. M., Patterson, B. M., and Shah, S. I., to be published.Google Scholar
3. Hanser, J. J., Phys. Rev. B3, 1611 (1971).Google Scholar
4. Gamble, F. R. and Shimshick, E. J., Phys. Lett. A28, 25 (1968).Google Scholar
5. Dash, F. G., Films on Solid Surfaces, (Academic Press, NY, 1975); P. Sheng, R. W. Cohen, and J. R. Schrieffer, J. Phys. C14, L565 (1981).Google Scholar
6. Zhou, M. Y. and Sheng, P., to be published.Google Scholar
7. Matsubara, T. an Kamiya, K., Prg. Theor. Physik. 58, 767 (1977).Google Scholar
8. Chien, C. L. et al. , to be published.Google Scholar
9. Lennard-Jones, J. E. and Devonshire, A. F., Proc. R. Soc. 170A, 464 (1939).Google Scholar
10. Schrieffer, J. R., Sheng, P., and Cohen, R. W., Phys. Scripta 35, 212 (1987).Google Scholar
11. Quirke, N. and Sheng, P., Chem. Phys. Lett. 110, 63 (1984).Google Scholar
12. GrAbaek, L. et al. , Phys. Rev. Lett. 64, 934 (1990).Google Scholar