ConstantID

First radiation constant for spectral radiance

Physico-chemicalExact

c1L = 1.191 042 972… × 10−16 W m2 sr−1

Value
1.191 042 972… × 10−16 W m2 sr−1
Standard uncertainty
exact
Relative uncertainty
exact
Status
Exact since the 2019 SI redefinition
Symbol
c1L
Source
CODATA 2022 via NIST · NIST entry

NIST prints this exact value cut to 10 digits. ConstantID recomputes it from the defining constants: 1.191 042 972 397 188 414 079 4892 × 10−16…

Use in a calculation

# first radiation constant for spectral radiance, CODATA 2022 (NIST)
first_radiation_constant_for_spectral_ra = 1.1910429723971884140794892e-16  # W m^2 sr^-1, exact

# SciPy: scipy.constants.physical_constants['first radiation constant for spectral radiance']

What it is

The first radiation constant when Planck's law is written for spectral radiance (power per area per solid angle per wavelength): 2hc², which is c₁/π.

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.

In other units

UnitValue
CGS (cm4 g s−3)1.191 042 972 × 10−5exact

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.

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.

first radiation constant for spectral radiance: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−300−200−1000+100+200+300parts per billion1998200220062010201420182022

Relative uncertainty

first radiation constant for spectral radiance: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁸10⁻⁷10⁻⁶199820022006201020142018exact2022exact
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20221.191 042 972… × 10−16exact exact
20181.191 042 972… × 10−16exact +1.3 σ of 2014
20141.191 042 953(15) × 10−161.3 × 10−8 +1.6 σ of 2010
20101.191 042 869(53) × 10−164.4 × 10−8 +1.9 σ of 2006
20061.191 042 759(59) × 10−165.0 × 10−8 −0.3 σ of 2002
20021.191 042 82(20) × 10−161.7 × 10−7 +1.1 σ of 1998
19981.191 042 722(93) × 10−167.8 × 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