Planck equations

Max Planck was one of the percussors of quantum mechanics, having practically triggered its creation. With his work on radiation in the early twentieth century, Planck was able to describe the emission of blackbody radiation to any wavelength which was a difficulty of several scientists at the time.

The scientist envisioned that energy was not emitted continuously, but rather in "energy packets" called quanta. These energy packets, associated with particles (photons), are proportional to the oscillation frequency.

The German physicist still defined a fundamental constant, called the Planck constant, whose SI value is 6.62607004 × 〖10〗 ^ (- 34) J ∙ s.

Planck's law (for blackbody radiation) expresses spectral radiance, that is, the amount of light that passes / is emitted in a particular area and is mathematically defined by:

I (f, T) = {(2hf ^ 3) / c ^ 2} X {1 / (e ^ (hf / kT) -1) (equation 1)

Where I is the spectral radiance, f is the frequency, T is the black body temperature and k is the Boltzmann constant.

The quantization of energy was defined by:

E = hf (equation 2)

Equation 2 (shown above) has a wide application in physics. Its presence is marked in the atomic model of Bohr and through its use it is possible to calculate the energy of the photons emitted by atoms, as given by the general expression:

ΔE_ (a, b) = E_b-E_a (equation 3)

*Curiosity:

The expression of equation 2 appears very frequently in quantum mechanics. In quantum field theory, when we quantize the electromagnetic field, we obtain photons, which, in the context, are defined in a very similar way.