Nuclear magneton

The value of nuclear magneton
System of units Value
SI 5.0507837393(16)×10−27 J⋅T−1[1]
Gaussian 5.05078374×10−24 erg·G−1[2]
eV 3.15245125417(98)×10−8 eV·T−1[3]
MHz/T (per h) 7.6225932188(24) MHz/T[4]

The nuclear magneton (symbol μN) is a physical constant of magnetic moment, defined in SI units by: and in Gaussian CGS units by: where:

Its CODATA recommended value is:

μN = 5.0507837393(16)×10−27 J⋅T−1

In Gaussian CGS units, its value can be given in convenient units as

μN = 0.10515446 efm

The nuclear magneton is the natural unit for expressing magnetic dipole moments of heavy particles such as nucleons and atomic nuclei.

Due to neutrons and protons having internal structure and not being Dirac particles, their magnetic moments differ from μN:

μp = 2.793 μN
μn = −1.913 μN

The magnetic dipole moment of the electron, which is much larger as a consequence of much larger charge-to-mass ratio, is usually expressed in units of the Bohr magneton, which is calculated in the same fashion using the electron mass. The result is larger than μN by a factor equal to the proton-to-electron mass ratio, about 1836.

  1. ^ "2022 CODATA Value: nuclear magneton". The NIST Reference on Constants, Units, and Uncertainty. NIST. May 2024. Retrieved 2024-05-18.
  2. ^ Since the 2019 revision of the SI, the Gauss is no longer exactly corresponds to 10−4 T.
  3. ^ "2022 CODATA Value: nuclear magneton in eV/T". NIST. 2022.
  4. ^ "2022 CODATA Value: nuclear magneton in MHz/T: μN/h". NIST. 2022.

Nuclear magneton

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