Compute the inverse relation between blackbody peak wavelength and temperature λ_max·T = b, for thermal radiation, stellar temperature estimates and infrared physics study.
黑体辐射峰值波长与温度关系。
| Item | Formula / Note | Source / Standard |
|---|---|---|
| Wien displacement law | λ_max·T = b = 2.8978×10⁻³ m·K | Wien 1893 |
| Wien constant | b = 2.897771955×10⁻³ m·K | CODATA 2018 |
| Peak condition | Maximum of spectral distribution | From Planck law |
| Solar application | 5778 K → ~500 nm | Astrophysics |
| Frequency form | Different constant for frequency | Planck spectrum detail |
| IR thermometry | Infer temperature from peak | IR thermometry |
Constants used on this page and their authoritative sources, for verification and citation
| Constant | Value | Unit | Source |
|---|---|---|---|
| Wien wavelength displacement law constant b | 2.897771955e-3 | m·K | CODATA 2018 (derived from exact h, c, k) |
| Planck constant h | 6.62607015e-34 | J·s | SI defining constant (exact) |
| Boltzmann constant k | 1.380649e-23 | J·K⁻¹ | SI defining constant (exact) |
| Speed of light in vacuum c | 299 792 458 | m·s⁻¹ | SI defining constant (exact) |
Note: b = hc/(k·x), where x = 4.965114231744276… is the dimensionless root of the Planck spectral peak equation; b is therefore an exact derived value.