ConstantID

Planck mass

UniversalMeasured

mP = 2.176 434(24) × 10−8 kg

Value
2.176 434 × 10−8 kg
Standard uncertainty
2.4 × 10−13 kg
Relative uncertainty
1.1 × 10−5 (11 parts per million)
Status
Measured
Symbol
mP
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# Planck mass, CODATA 2022 (NIST)
planck_mass = 2.176434e-8  # kg, standard uncertainty 2.4e-13

# SciPy: scipy.constants.physical_constants['Planck mass']

What it is

The unit of mass built from G, ħ and c, about 22 micrograms, large by particle standards and tiny by everyday ones.

Equations

  • mP=ℏcGdefinition

In other units

UnitValue
CGS (g)2.176 434 × 10−5
mg milligram0.021 764 34
µg microgram21.764 34

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).

Planck mass: CODATA values 1998–2022 relative to the 2022 value, in parts per million, with one-standard-uncertainty bars−200−1000+100+200parts per million1998200220062010201420182022

Relative uncertainty

Planck mass: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁵10⁻⁴10⁻³1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20222.176 434(24) × 10−81.1 × 10−5 +0.0 σ of 2018
20182.176 434(24) × 10−81.1 × 10−5 −0.7 σ of 2014
20142.176 470(51) × 10−82.3 × 10−5 −0.3 σ of 2010
20102.176 51(13) × 10−86.0 × 10−5 +0.6 σ of 2006
20062.176 44(11) × 10−85.1 × 10−5 −0.1 σ of 2002
20022.176 45(16) × 10−87.4 × 10−5 −0.2 σ of 1998
19982.1767(16) × 10−87.4 × 10−4

“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