Muon magnetic moment to Bohr magneton ratio
Atomic & nuclearMeasured
= −4.841 970 48(11) × 10−3
- Value
- −4.841 970 48 × 10−3
- Standard uncertainty
- 1.1 × 10−10
- Relative uncertainty
- 2.3 × 10−8 (23 parts per billion)
- Status
- Measured
- Symbol
- Source
- CODATA 2022 via NIST · NIST entry
Use in a calculation
Plain
LaTeX
Python
# muon magnetic moment to Bohr magneton ratio, CODATA 2022 (NIST)
muon_magnetic_moment_to_bohr_magneton_ra = -4.84197048e-3 # standard uncertainty 1.1e-10
# SciPy: scipy.constants.physical_constants['muon mag. mom. to Bohr magneton ratio']
What it is
The magnetic moment of the muon, an unstable heavier cousin of the electron (about 207 times its mass) that lives about 2.2 microseconds, expressed in Bohr magnetons.
How the value changed, 1998–2022
Each point is one CODATA adjustment, plotted as its difference from the 2022 value; the bars show one standard uncertainty (an arrowhead means the bar runs off the chart).
Relative uncertainty
| CODATA | Value (uncertainty) | Relative uncertainty | Change from previous |
|---|---|---|---|
| 2022 | −4.841 970 48(11) × 10−3 | 2.3 × 10−8 | −0.1 σ of 2018 |
| 2018 | −4.841 970 47(11) × 10−3 | 2.3 × 10−8 | +0.1 σ of 2014 |
| 2014 | −4.841 970 48(11) × 10−3 | 2.3 × 10−8 | −0.3 σ of 2010 |
| 2010 | −4.841 970 44(12) × 10−3 | 2.5 × 10−8 | +0.4 σ of 2006 |
| 2006 | −4.841 970 49(12) × 10−3 | 2.5 × 10−8 | −0.3 σ of 2002 |
| 2002 | −4.841 970 45(13) × 10−3 | 2.7 × 10−8 | +2.7 σ of 1998 |
| 1998 | −4.841 970 85(15) × 10−3 | 3.1 × 10−8 |
“Change from previous” is the shift in the value divided by the standard uncertainty of the previous adjustment. Earlier values are converted into the current unit where NIST changed it (for example J s to J Hz⁻¹).
Related constants
Atomic & nuclear
Muon Compton wavelength
1.173 444 110(26) × 10−14
m
Atomic & nuclear
Muon-electron mass ratio
206.768 2827(46)
Atomic & nuclear
Muon g factor
−2.002 331 841 23(82)
Atomic & nuclear
Muon magnetic moment
−4.490 448 30(10) × 10−26
J T−1
Atomic & nuclear
Muon g−2
1.165 920 62(41) × 10−3
Atomic & nuclear
Muon magnetic moment to nuclear magneton ratio
−8.890 597 04(20)
Atomic & nuclear
Muon mass
1.883 531 627(42) × 10−28
kg
Atomic & nuclear
Muon mass energy equivalent
1.692 833 804(38) × 10−11
J