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Value [a] [b] Relative standard uncertainty Ref [1] speed of light in vacuum 299 792 458 ... first radiation constant for spectral radiance
The spectral radiance of Planckian radiation from a black body has the same value ... first radiation constant c 1 ... physics. [74] Michelson produced a formula ...
Planck was able to calculate the value of from experimental data on black-body radiation: his result, 6.55 × 10 −34 J⋅s, is within 1.2% of the currently defined value. [2] He also made the first determination of the Boltzmann constant from the same data and theory. [14]
Radiation constant may refer to: The first and second radiation constants c 1 and c 2 – see Planck's Law; The radiation density constant a – see Stefan ...
This was the first sensible value for the temperature of the Sun. Before this, values ranging from as low as 1800 °C to as high as 13 000 000 °C [25] were claimed. The lower value of 1800 °C was determined by Claude Pouillet (1790–1868) in 1838 using the Dulong–Petit law.
The Planck relation [1] [2] [3] (referred to as Planck's energy–frequency relation, [4] the Planck–Einstein relation, [5] Planck equation, [6] and Planck formula, [7] though the latter might also refer to Planck's law [8] [9]) is a fundamental equation in quantum mechanics which states that the energy E of a photon, known as photon energy, is proportional to its frequency ν: =.
Although Boltzmann first linked entropy and probability in 1877, the relation was never expressed with a specific constant until Max Planck first introduced k, and gave a more precise value for it (1.346 × 10 −23 J/K, about 2.5% lower than today's figure), in his derivation of the law of black-body radiation in 1900–1901. [11]
This assumption allowed Planck to derive a formula for the entire spectrum of the radiation emitted by a black body. Planck was unable to justify this assumption based on classical physics; he considered quantization as being purely a mathematical trick, rather than (as is now known) a fundamental change in the understanding of the world. [1]