Atomic units: Difference between revisions

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The '''nuclear magneton''' (symbol ''&mu;''<sub>N</sub>), is a [[physical constant]] of [[magnetic moment]], defined in [[SI units]] by:
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:<math>\mu_\mathrm{N} = {{e \hbar} \over {2 m_\mathrm{p}}}</math>
 
and in [[Gaussian units|Gaussian]] [[Centimetre gram second system of units|CGS units]] by:
 
:<math>\mu_\mathrm{N} = {{e \hbar} \over{2 m_\mathrm{p}c}}</math>
 
where:
:''e'' is the [[elementary charge]],
:''ħ'' is the [[reduced Planck constant]],
:''m''<sub>p</sub> is the [[proton]] [[rest mass]], and
:''c'' is the [[speed of light]]
 
In [[SI units]], its value is approximately:  
:''&mu;''<sub>N</sub> = {{val|5.05078324|(13)|e=-27|u=[[Joule|J]]/[[Tesla (unit)|T]]}}
In [[Gaussian units|Gaussian]] [[Centimetre gram second system of units|CGS units]], its value can be given in convenient units as
: ''&mu;''<sub>N</sub> = {{val|0.105155|u=[[Elementary charge |e]] [[Femtometre |fm]]}}
 
The nuclear magneton is the natural unit for expressing magnetic dipole moments of heavy particles such as [[nucleon]]s and [[Atomic nucleus|atomic nuclei]]. On the contrary, the dipole moment of the electron, which is much higher as a consequence of much higher [[Mass-to-charge ratio|charge-to-mass ratio]], is usually expressed in corresponding units of the [[Bohr magneton]].
 
==See also==
*[[Proton magnetic moment]]
*[[Neutron magnetic moment]]
*[[Bohr magneton]]
 
==External links==
*[http://physics.nist.gov/cgi-bin/cuu/Value?munev Nuclear magneton], value from [[CODATA]]
 
[[Category:Magnetism]]

Revision as of 12:20, 7 February 2014

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