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One of the most remarkable scientific advances of the 20th century is the development of quantum mechanics - the description of the behavior of matter on the atomic and sub-atomic scale. It is now a powerful tool for understanding the behavior of atoms and molecules, and is vital to physicists, chemists and biochemists alike.
Its roots lie in Max Planck's discovery at the turn of the century that the radiation from a hot object can be successfully described only if it occurs with specific amounts of energy - "quanta" - rather than with a continuous range of energies. This discovery led ultimately to the description of light in terms of "particles", known as photons, the name coined in 1926 by the American Gilbert Lewis.
In 1913 the Dane Niels Bohr built on these ideas to postulate that the energy of the atomic electrons must also be "quantized". The model explained the origin of the spectra of light emitted by atoms such as hydrogen, which had long been recognized to have characteristic and separated lines of color. But the explanation of why the energy of the electrons should be quantized had to wait until the mid-1920s with the full development of the mathematical formulation known as quantum mechanics by the Austrian Erwin Schrodinger, the German Werner Heisenberg and the British physicist Paul Dirac.
Schrodinger's theory of quantum wave mechanics treated the electron with a wavelike description, the amplitude of the wave giving the probability of finding the electron at a given point in space and time. This wave, like the electromagnetic waves of radiation, was subject to quantization, and the energy levels (shells) in Bohr's model could be explained in terms of the allowed energies of an electron-wave, effectively caught by the electric attraction of the nucleus.
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