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| | | The author is recognized by the name of Figures Wunder. One of the extremely best issues in the world for him is to collect badges but he is struggling to find time for it. Puerto Rico is where he's usually been living but she requirements to transfer because of her family members. My working day occupation is a meter reader.<br><br>Here is my webpage :: std home test ([http://www.siccus.net/blog/15356 our homepage]) |
| The '''characteristic rotational temperature''' (θ<sub>R</sub> or θ<sub>rot</sub>) is commonly used in [[statistical thermodynamics]], to simplify the expression of the [[rotational partition function]] and the rotational contribution to molecular thermodynamic properties. It has units of [[temperature]] and is defined as<ref name=Atkins>P. Atkins and J. de Paula "Physical Chemistry", 9th edition (W.H. Freeman 2010), p.597</ref> | |
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| <math>\theta _R=\frac{hc \bar B}{k_{B}}=\frac{\hbar ^{2}}{2k_{B}I}</math>,
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| where B is the [[Rigid rotor#Quantum mechanical linear rigid rotor|rotational constant]], and <math>I</math> is a molecular [[moment of inertia]]. Also h is the [[Planck constant]], c is the [[speed of light]], ħ = h/2π is the [[reduced Planck constant]] and ''k<sub>B</sub>'' is the [[Boltzmann constant]]. | |
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| The physical meaning of θ<sub>R</sub> is as an estimate of the temperature at which [[thermal energy]] (of the order of k<sub>B</sub>T) is comparable to the spacing between rotational energy levels (of the order of hcB). At about this temperature the population of excited rotational levels becomes important. Some typical values are 88 K for H<sub>2</sub>, 15.2 K for HCl and 0.561 K for CO<sub>2</sub>.<ref name=Atkins/>
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| ==References==
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| {{reflist}}
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| ==See also==
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| *[[Rotational spectroscopy]]
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| *[[Vibrational temperature]]
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| *[[Vibrational spectroscopy]]
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| *[[Infrared spectroscopy]]
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| *[[Spectroscopy]]
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| {{DEFAULTSORT:Rotational Temperature}}
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| [[Category:Atomic physics]]
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| [[Category:Molecular physics]]
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Latest revision as of 17:16, 26 May 2014
The author is recognized by the name of Figures Wunder. One of the extremely best issues in the world for him is to collect badges but he is struggling to find time for it. Puerto Rico is where he's usually been living but she requirements to transfer because of her family members. My working day occupation is a meter reader.
Here is my webpage :: std home test (our homepage)