Definition:Bohr Magneton

Definition

The Bohr magneton is a physical constant used to express the magnetic moment of an electron caused by its orbital or spin angular momentum:

\(\ds \mu_{\mathrm B}\)

\(=\)

\(\ds \dfrac {\E \hbar} {2 m_\E}\)

where:

$\E$ denotes the elementary charge

$\hbar$ denotes the reduced Planck constant

$m_\E$ denotes the electron rest mass

Symbol

$\mu_{\mathrm B}$

The symbol for the Bohr magneton is $\mu_{\mathrm B}$.

Its $\LaTeX$ code is \mu_{\mathrm B} .

Value

The value of the Bohr magneton is:

\(\ds \mu_{\mathrm B}\)

\(\approx\)

\(\ds 9 \cdotp 27401 \, 00783 \, (28) \times 10^{-24} \, \mathrm {J \, T^{-1} }\)

This sequence is A234371 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

\(\ds \)

\(\approx\)

\(\ds 9 \cdotp 27401 \, 00783 \, (28) \times 10^{-21} \, \mathrm {erg \, Gs^{-1} }\)

Source of Name

This entry was named for Niels Henrik David Bohr.

Sources

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