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In statistical mechanics, the translational partition function, is that part of the partition function resulting from the movement (translation) of the center of mass.For a single atom or molecule in a low pressure gas, neglecting the interactions of molecules, the canonical ensemble can be approximated by: [1]
The maximum-term method is a consequence of the large numbers encountered in statistical mechanics.It states that under appropriate conditions the logarithm of a summation is essentially equal to the logarithm of the maximum term in the summation.
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Created Date: 8/30/2012 4:52:52 PM
For a system (such as a molecule or solid) with uncoupled vibrational modes the vibrational partition function is defined by =, where is the absolute temperature of the system, is the Boltzmann constant, and , is the energy of the jth mode when it has vibrational quantum number =,,, ….
Macquarrie was born on 27 June 1919 in Renfrew, into a devout Presbyterian family. His father was an elder in the Church of Scotland with strong Gaelic roots. Macquarrie was educated at Paisley Grammar School before studying philosophy at the University of Glasgow under the distinguished scholar Charles Arthur Campbell (MA 1940) and obtained a degree in theology (BD 1943).
In statistical mechanics and thermodynamics the compressibility equation refers to an equation which relates the isothermal compressibility (and indirectly the pressure) to the structure of the liquid.
Fowler, R. H. (1929). Statistical mechanics : the theory of the properties of matter in equilibrium.Cambridge: University Press.. 2e (1936) Cambridge: University Press; (1980) Cambridge University Press.