Deuteron mass energy equivalent

$m_dc²$ = 3.005 063 234 91(94) × 10⁻¹⁰ J

Value: 3.005 063 234 91 × 10⁻¹⁰ J
Standard uncertainty: 9.4 × 10⁻²⁰ J
Relative uncertainty: 3.1 × 10⁻¹⁰ (313 parts per trillion)
Status: Measured
Symbol: $m_dc²$
Source: CODATA 2022 via NIST · NIST entry

Use in a calculation

# deuteron mass energy equivalent, CODATA 2022 (NIST)
deuteron_mass_energy_equivalent = 3.00506323491e-10  # J, standard uncertainty 9.4e-20

# SciPy: scipy.constants.physical_constants['deuteron mass energy equivalent']

What it is

The rest energy (mass × c²) of the deuteron, the nucleus of deuterium (one proton and one neutron), in joules.

In other units

Unit	Value
CGS (cm² g s⁻²)	0.003 005 063 234 91
keV kiloelectronvolt	1 875 612.945
MeV megaelectronvolt	1875.612 945
GeV gigaelectronvolt	1.875 612 945
erg erg	0.003 005 063 234 91

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	3.005 063 234 91(94) × 10⁻¹⁰	3.1 × 10⁻¹⁰	+4.3 σ of 2018
2018	3.005 063 231 02(91) × 10⁻¹⁰	3.0 × 10⁻¹⁰	+1.3 σ of 2014
2014	3.005 063 183(37) × 10⁻¹⁰	1.2 × 10⁻⁸	+1.6 σ of 2010
2010	3.005 062 97(13) × 10⁻¹⁰	4.3 × 10⁻⁸	+1.7 σ of 2006
2006	3.005 062 72(15) × 10⁻¹⁰	5.0 × 10⁻⁸	−0.3 σ of 2002
2002	3.005 062 85(51) × 10⁻¹⁰	1.7 × 10⁻⁷	+1.0 σ of 1998
1998	3.005 062 62(24) × 10⁻¹⁰	8.0 × 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).