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The '''nuclear magneton''' (symbol ''μ''<sub>N</sub>), is a [[physical constant]] of [[magnetic moment]], defined in [[SI units]] by: | |||
:<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: | |||
:''μ''<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 | |||
: ''μ''<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 07:12, 2 February 2014
The nuclear magneton (symbol μN), is a physical constant of magnetic moment, defined in SI units by:
where:
- e is the elementary charge,
- ħ is the reduced Planck constant,
- mp is the proton rest mass, and
- c is the speed of light
In SI units, its value is approximately:
- μN = Template:Val
In Gaussian CGS units, its value can be given in convenient units as
- μN = Template:Val
The nuclear magneton is the natural unit for expressing magnetic dipole moments of heavy particles such as nucleons and atomic nuclei. On the contrary, the dipole moment of the electron, which is much higher as a consequence of much higher charge-to-mass ratio, is usually expressed in corresponding units of the Bohr magneton.
See also
External links
- Nuclear magneton, value from CODATA