Newtonian constant of gravitation over h-bar c
UniversalMeasured
= 6.708 83(15) × 10−39 (GeV/c2)−2
- Value
- 6.708 83 × 10−39 (GeV/c2)−2
- Standard uncertainty
- 1.5 × 10−43 (GeV/c2)−2
- Relative uncertainty
- 2.2 × 10−5 (22 parts per million)
- Status
- Measured
- Symbol
- Source
- CODATA 2022 via NIST · NIST entry
Use in a calculation
# Newtonian constant of gravitation over h-bar c, CODATA 2022 (NIST)
newtonian_constant_of_gravitation_over_h = 6.70883e-39 # (GeV/c^2)^-2, standard uncertainty 1.5e-43
# SciPy: scipy.constants.physical_constants['Newtonian constant of gravitation over h-bar c']What it is
Newton's constant in the natural units of particle physics, G/ħc, in (GeV/c²)⁻². One over its square root is the Planck mass in GeV.
In other units
| Unit | Value | |
|---|---|---|
| CGS (g−2) | 2 111 100 027 |
Converted with ConstantID's unit table; digits are rounded to the precision of the value, and a long exact value is rounded only for display. The relative uncertainty is unchanged by conversion to an exactly defined unit.
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 | 6.708 83(15) × 10−39 | 2.2 × 10−5 | +0.0 σ of 2018 |
| 2018 | 6.708 83(15) × 10−39 | 2.2 × 10−5 | +0.7 σ of 2014 |
| 2014 | 6.708 61(31) × 10−39 | 4.6 × 10−5 | +0.3 σ of 2010 |
| 2010 | 6.708 37(80) × 10−39 | 1.2 × 10−4 | −0.7 σ of 2006 |
| 2006 | 6.708 81(67) × 10−39 | 1.0 × 10−4 | +0.1 σ of 2002 |
| 2002 | 6.7087(10) × 10−39 | 1.5 × 10−4 | +0.2 σ of 1998 |
| 1998 | 6.707(10) × 10−39 | 1.5 × 10−3 |
“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).