ConstantID

Second radiation constant

Physico-chemicalExact

c2 = 1.438 776 877… × 10−2 m K

Value
1.438 776 877… × 10−2 m K
Standard uncertainty
exact
Relative uncertainty
exact
Status
Exact since the 2019 SI redefinition
Symbol
c2
Source
CODATA 2022 via NIST · NIST entry

NIST prints this exact value cut to 10 digits. ConstantID recomputes it from the defining constants: 0.014 387 768 775 039 338 021 466 716 0154…

Use in a calculation

# second radiation constant, CODATA 2022 (NIST)
second_radiation_constant = 1.4387768775039338021466716015439116e-2  # m K, exact

# SciPy: scipy.constants.physical_constants['second radiation constant']

What it is

The constant in the exponent of Planck's law. It sets where the black-body spectrum peaks for a given temperature.

It is built only from constants that have exact values since 20 May 2019, so it is exact too; CODATA 2018 was the first adjustment to list it that way.

Equations

  • c2=hckdefinition
  • Mλ=c1λ51ec2/λT−1Planck's law

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). Diamonds mark adjustments in which the value was exact.

second radiation constant: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−2000−10000+1000+2000parts per billion1998200220062010201420182022

Relative uncertainty

second radiation constant: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁷10⁻⁶10⁻⁵199820022006201020142018exact2022exact
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20221.438 776 877… × 10−2exact exact
20181.438 776 877… × 10−2exact −0.6 σ of 2014
20141.438 777 36(83) × 10−25.8 × 10−7 +0.3 σ of 2010
20101.438 7770(13) × 10−29.0 × 10−7 +0.7 σ of 2006
20061.438 7752(25) × 10−21.7 × 10−6 +0.0 σ of 2002
20021.438 7752(25) × 10−21.7 × 10−6 +0.0 σ of 1998
19981.438 7752(25) × 10−21.7 × 10−6

“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