ConstantID

Wien frequency displacement law constant

Physico-chemicalExact

b′ = 5.878 925 757… × 1010 Hz K−1

Value
5.878 925 757… × 1010 Hz K−1
Standard uncertainty
exact
Relative uncertainty
exact
Status
Exact since the 2019 SI redefinition
Symbol
b′
Source
CODATA 2022 via NIST · NIST entry

NIST prints this exact value cut to 10 digits. ConstantID recomputes it from the defining constants: 5.878 925 757 646 824 946 606 130 795 31 × 1010…

Use in a calculation

# Wien frequency displacement law constant, CODATA 2022 (NIST)
wien_frequency_displacement_law_constant = 5.8789257576468249466061307953097217e10  # Hz K^-1, exact

# SciPy: scipy.constants.physical_constants['Wien frequency displacement law constant']

What it is

The frequency at which a black body's spectrum per unit frequency peaks is b′T. It is not the same point of the spectrum as the wavelength peak, because the two spectra are spread differently.

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

  • νmax=b′TWien's law in frequency

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.

Wien frequency displacement law 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

Wien frequency displacement law constant: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁷10⁻⁶10⁻⁵199820022006201020142018exact2022exact
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20225.878 925 757… × 1010exact exact
20185.878 925 757… × 1010exact +0.6 σ of 2014
20145.878 9238(34) × 10105.8 × 10−7 −0.3 σ of 2010
20105.878 9254(53) × 10109.0 × 10−7 −0.8 σ of 2006
20065.878 933(10) × 10101.7 × 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