Minimax approximation algorithm: Difference between revisions

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en>David Eppstein
{{algorithm-stub}}
en>Mm
Clarify introduction
 
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The '''Debye frequency''' of a [[crystal]] is a theoretical maximum [[frequency]] of [[oscillation|vibration]] for the [[atom]]s that make up the crystal [http://scienceworld.wolfram.com/physics/DebyeFrequency.html]. It was proposed by [[Peter Debye]] as part of the '''[[Debye model]]'''. It is generally not the same as the actual maximum oscillation frequency for the crystal, due to approximations in the model, however it is still a useful quantity [http://farside.ph.utexas.edu/teaching/sm1/lectures/node71.html]. It plays a role in the computation of the [[specific heat capacity]] of solids and in theoretical estimates of rates of [[diffusion]].  It is related to the [[speed of sound]] (v<sub>s</sub>) in the crystal and the number density of the crystal <math>N/V</math> as follows [http://hyperphysics.phy-astr.gsu.edu/HBASE/thermo/debye.html]:
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<math>\nu_m = \left(\frac{3N}{ 4 \pi V }\right)^{1/3}v_s</math>
 
==References==
*[http://hyperphysics.phy-astr.gsu.edu/HBASE/thermo/debye.html Hyperphysics]
*[http://scienceworld.wolfram.com/physics/DebyeFrequency.html Wolfram]
*[http://farside.ph.utexas.edu/teaching/sm1/lectures/node71.html University of Texas]
 
[[Category:Crystals]]
 
{{physics-stub}}

Latest revision as of 11:52, 7 December 2014

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