Gyromagnetic Ratio of Proton

Theorem

The gyromagnetic ratio of the proton is given by:

\(\ds \gamma_{\mathrm p}\)

\(\approx\)

\(\ds 2 \cdotp 67522 \, 18744 \, (11) \times 10^8 \, \mathrm {rad \, s^{-1} \, T^{-1} }\)

\(\ds \)

\(\approx\)

\(\ds 2 \cdotp 67522 \, 18744 \, (11) \times 10^4 \, \mathrm {rad \, s^{-1} \, Gs^{-1} }\)

Proof

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Sources

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (previous) ... (next): $2$. Physical Constants and Conversion Factors: Table $2.3$ Adjusted Values of Constants

which gives the mantissa as $2 \cdotp 675 \, 196 \, 5$, with an uncertainty of $\pm 82$ corresponding to the $2$ least significant figures