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Planck's quantum principle, also known as Planck's quantum hypothesis or Planck's quantum theory, refers to a fundamental principle in physics proposed by the German physicist Max Planck in 1900. It played a crucial role in the development of quantum mechanics.

Planck's quantum principle states that electromagnetic energy is quantized, meaning it can only be emitted or absorbed in discrete packets of energy called "quanta" or "energy quanta." Each quantum of energy is proportional to the frequency of the electromagnetic radiation, according to the equation:

E = hν

In this equation, E represents the energy of a single quantum, ν (nu) represents the frequency of the electromagnetic radiation, and h is Planck's constant.

Planck introduced this principle to solve a problem known as the ultraviolet catastrophe, which was the failure of classical physics to explain the distribution of energy emitted by a black body radiator. By assuming that energy could only be exchanged in discrete amounts, Planck derived an equation that accurately described the observed energy distribution, but it also laid the groundwork for the development of quantum mechanics.

Planck's quantum principle was a revolutionary concept at the time, as it challenged the classical notion of continuous energy exchange and paved the way for the later discoveries of quantum mechanics, which fundamentally changed our understanding of the microscopic world and led to the development of many important theories and applications in modern physics.

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