Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10 5/3/83 based; site hou2e.UUCP Path: utzoo!watmath!clyde!burl!ulysses!mhuxr!mhuxt!houxm!hou2e!gv From: gv@hou2e.UUCP (A.VANNUCCI) Newsgroups: net.physics Subject: Re: A question about physics and NOT metaphysics Message-ID: <589@hou2e.UUCP> Date: Mon, 20-May-85 10:52:58 EDT Article-I.D.: hou2e.589 Posted: Mon May 20 10:52:58 1985 Date-Received: Tue, 21-May-85 07:22:08 EDT References: <111@gtss.UUCP>, <574@hou2e.UUCP> Organization: AT&T Bell Labs, Holmdel NJ Lines: 46 In a previous posting I wrote: > From the book "University Chemistry" by Bruce H. Mahan, (c) 1969 by > Addison Wesley. > > " Section 3.7 > > According to the law of Dulong and Petit, the heat capacity of one > gram atom of a solid element is approximately 6.3 cal/deg. We have seen > that the application of this rule is not limited to elements, for > experiments show that the heat capacity of many solids, elemental or > compound, is 6 cal/deg *per mole of atoms*. Of course, there are > exceptions to this law. There are many substances whose heat capacities, > measured at room temperature, are much smaller than predicted. These > exceptional substances are high-melting crystals that are made up of light > atoms, such as boron, carbon and berillyum. Moreover, the Dulong and Petit > law fails for all substances if the heat capacity is measured at low > temperatures. That is, the heat capacity of a solid is not constant, but > increases with increasing temperature. At the absolute zero of temperature > the heat capacity of all substances is zero. As the temperature is raised, > the heat capacity increases, but at different rates for different > substances. Finally, in the limit of very high temperatures, the heat > capacity of all solids is 6.3 cal/deg *per mole of atoms*. > > The key to understanding the temperature dependence of the heat > capacities of solids was supplied by Einstein in 1905....." > > > Indeed, that is the work for which Einstein received the Nobel > prize. It turns out that the departure from the Dulong and Petit law > at low temperatures is a quantum-mechanical effect and played a key > role in the development of Quantum Mechanics. I doublechecked my statement about Einstein's Nobel prize and I found that I made a mistake. The Encyclopaedia Britannica says that Einstein's 1921 Nobel Prize was for "services to theoretical physics, especially the discovery of the law of the photoelectric effect". I would like to thank those who sent me mail pointing out this mistake. Giovanni Vannucci AT&T Bell Laboratories HOH R-207 Holmdel, NJ 07733 hou2e!gv