Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

The Specific Heat of Solids and the Principle of Similitude

The Specific Heat of Solids and the Principle of Similitude No. 2.I4 THE SPECIFIC HEAT OF SOLIDS AND THE PRINCIPLE OF SIMILITUDE. BY RICHARD CHACE TOLMAN. HE writer has already presented' a number of derivations in widely different fields of physical science, all of which are based on a single postulate which may be called the principle of similitude. In the present article we shall make use of this same principle in deriving a formula for the specific heat of homogeneous, isotropic, elastic substances. We shall find that the formula thus obtained for specific heat agrees with that of Debye2 for the specific heat of solids and liquids at low temperatures. In our proof, however, it will not be necessary to make use of any of the various forms of quantum theory. In particular, the derivation of Debye rests on the special assumption borrowed from the quantum theory of Planck that hv t ,v fpT - I is the energy in an elastic sphere at temperature T associated with modes of vibration whose frequencies lie between v and v + dv. In our deri- vation, however, we shall make no assumptions as to the form of the relation connecting energy with temperature and frequency of vibration. This possibility http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review American Physical Society (APS)

The Specific Heat of Solids and the Principle of Similitude

Physical Review , Volume 4 (2) – Aug 1, 1914
9 pages

Loading next page...
 
/lp/american-physical-society-aps/the-specific-heat-of-solids-and-the-principle-of-similitude-N6ypQ0iyC0

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
American Physical Society (APS)
Copyright
Copyright © 1914 The American Physical Society
ISSN
1536-6065
DOI
10.1103/PhysRev.4.145
Publisher site
See Article on Publisher Site

Abstract

No. 2.I4 THE SPECIFIC HEAT OF SOLIDS AND THE PRINCIPLE OF SIMILITUDE. BY RICHARD CHACE TOLMAN. HE writer has already presented' a number of derivations in widely different fields of physical science, all of which are based on a single postulate which may be called the principle of similitude. In the present article we shall make use of this same principle in deriving a formula for the specific heat of homogeneous, isotropic, elastic substances. We shall find that the formula thus obtained for specific heat agrees with that of Debye2 for the specific heat of solids and liquids at low temperatures. In our proof, however, it will not be necessary to make use of any of the various forms of quantum theory. In particular, the derivation of Debye rests on the special assumption borrowed from the quantum theory of Planck that hv t ,v fpT - I is the energy in an elastic sphere at temperature T associated with modes of vibration whose frequencies lie between v and v + dv. In our deri- vation, however, we shall make no assumptions as to the form of the relation connecting energy with temperature and frequency of vibration. This possibility

Journal

Physical ReviewAmerican Physical Society (APS)

Published: Aug 1, 1914

There are no references for this article.