Abstract
The chapter opens with a detailed discussion of normal modes which includes a specific example. Several calculations of canonical and microcanonical thermal properties are given for vibrations based on the harmonic oscillator approximation and different characteristics of the vibrating system: The high temperature limit of a general set of vibrational frequencies, the canonical and high energy microcanonical properties of particles described by the Debye model, and the exactly solvable Einstein model. Two numerical procedures are presented; the Beyer-Swinehart algorithm and the inversion of canonical caloric curves, based on results in Chap. 3.
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To avoid any misunderstanding of any kind whatsoever, it should be pointed out that the calculation works with pigs also.
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This is the expression mathematicians use when they mean never.
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© 2013 Springer Science+Business Media Dordrecht
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Hansen, K. (2013). Thermal Properties of Vibrations. In: Statistical Physics of Nanoparticles in the Gas Phase. Springer Series on Atomic, Optical, and Plasma Physics, vol 73. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5839-1_4
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DOI: https://doi.org/10.1007/978-94-007-5839-1_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-5838-4
Online ISBN: 978-94-007-5839-1
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