Virial theorem: Difference between revisions

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(New page: The '''virial theorem''' is a feature of systems with central forces. :<math>\overline{T}= - \frac{1}{2} \overline{\sum_i \frac{dU}{dr}\cdot r_i}</math> where <math>\overline{T}</math> i...)
 
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where <math>\overline{T}</math> is the kinetic energy. The overlines represent time averages. The right hand side is known as the virial of Clausius (Ref. 2).
where <math>\overline{T}</math> is the kinetic energy. The overlines represent time averages. The right hand side is known as the virial of Clausius (Ref. 2).
==Interesting reading==
#[http://dx.doi.org/10.1063/1.1749227  J. C. Slater "The Virial and Molecular Structure", Journal of Chemical Physics '''1''' pp. 687-691 (1933)]
==References==
==References==
# Section 3.4 of '''Classical Mechanics''' by Herbert Goldstein 2nd Edition (1980) Addison Wesley
# Section 3.4 of '''Classical Mechanics''' by Herbert Goldstein 2nd Edition (1980) Addison Wesley

Revision as of 14:40, 25 May 2007

The virial theorem is a feature of systems with central forces.

where is the kinetic energy. The overlines represent time averages. The right hand side is known as the virial of Clausius (Ref. 2).

Interesting reading

  1. J. C. Slater "The Virial and Molecular Structure", Journal of Chemical Physics 1 pp. 687-691 (1933)

References

  1. Section 3.4 of Classical Mechanics by Herbert Goldstein 2nd Edition (1980) Addison Wesley
  2. R. Clausius, " " Philosophical Magazine 40 pp. 122- (1870)