IEVref: | 521-01-05 | ID: | |

Language: | en | Status: Standard | |

Term: | Maxwell-Boltzmann velocity-distribution law | ||

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Definition: | algebraic equation giving the number dN of particles of a non-quantized system, the components of velocity of which are comprised in the intervals (u, u + du), (v, v + dv), (w, w + dw) respectively: $\text{d}N=A\cdot \text{exp}\left[\frac{-m\left({u}^{2}+{v}^{2}+{w}^{2}\right)}{2kT}\right]\text{d}\text{\hspace{0.17em}}u\cdot \text{d}\text{\hspace{0.17em}}v\cdot \text{d}\text{\hspace{0.17em}}w$ where $A=N{\left[\frac{m}{\left(2\pi \cdot kT\right)}\right]}^{3/2}$
NOTE – d | ||

Publication date: | 2002-05 | ||

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Internal notes: | 2017-06-02: Cleanup - Remove Attached Image 521-01-051.gif 2017-06-02: Cleanup - Remove Attached Image 521-01-052.gif | ||

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$\text{d}N=A\cdot \text{exp}\left[\frac{-m\left({u}^{2}+{v}^{2}+{w}^{2}\right)}{2kT}\right]\text{d}\text{\hspace{0.17em}}u\cdot \text{d}\text{\hspace{0.17em}}v\cdot \text{d}\text{\hspace{0.17em}}w$

where

$A=N{\left[\frac{m}{\left(2\pi \cdot kT\right)}\right]}^{3/2}$

*N* is the total number of particles

*m* is the mass of a particle

*T* is the thermodynamic temperature

*k* is the Boltzmann constant
*N* represents the probability that a particle has its components of velocity within the intervals considered.