ConstantID

Wien wavelength displacement law constant

Physico-chemicalExact

b = 2.897 771 955… × 10−3 m K

Value
2.897 771 955… × 10−3 m K
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: 0.002 897 771 955 185 172 661 478 605 448 09…

Use in a calculation

# Wien wavelength displacement law constant, CODATA 2022 (NIST)
b_Wien = 2.8977719551851726614786054480928847e-3  # m K, exact

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

What it is

The wavelength at which a black body radiates most strongly is b/T. For the Sun's surface, about 5772 K, that gives 502 nm, green-blue light; for a body at room temperature, 293 K, it gives 9.9 µm, in the infrared.

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

  • λmax=bTWien's displacement law
  • b=hckx,x=4.965…in terms of h, c and k

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 wavelength 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 wavelength displacement law constant: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁷10⁻⁶10⁻⁵199820022006201020142018exact2022exact
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20222.897 771 955… × 10−3exact exact
20182.897 771 955… × 10−3exact −0.6 σ of 2014
20142.897 7729(17) × 10−35.9 × 10−7 +0.3 σ of 2010
20102.897 7721(26) × 10−39.0 × 10−7 +0.7 σ of 2006
20062.897 7685(51) × 10−31.8 × 10−6 −0.0 σ of 2002
20022.897 7686(51) × 10−31.8 × 10−6 +0.0 σ of 1998
19982.897 7686(51) × 10−31.8 × 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