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Erwin Schrödinger showed that the quantization of the hydrogen atom’s energy levels that appeared in Niels Bohr’s atomic model could be calculated from the Schrödinger equation, which describes how the wave function of a quantum mechanical system (in this case, a hydrogen atom’s electron) evolves.
Quantum Mechanical Atomic Model. In 1926, Austrian physicist Erwin Schrödinger (1887-1961) used the wave-particle duality of the electron to develop and solve a complex mathematical equation that accurately described the behavior of the electron in a hydrogen atom.
The quantum mechanical model specifies the probability of finding an electron in the three-dimensional space around the nucleus and is based on solutions of the Schrödinger equation.
Erwin Schrödinger. The Nobel Prize in Physics 1933. Born: 12 August 1887, Vienna, Austria. Died: 4 January 1961, Vienna, Austria. Affiliation at the time of the award: Berlin University, Berlin, Germany. Prize motivation: “for the discovery of new productive forms of atomic theory” Prize share: 1/2. Life.
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Schrodinger’s theory made use of electrons as waves, treating them as clouds of negative charge. Schrodinger’s equation mathematically determined the regions that an electron was most likely to be found in the orbital lobes.
A powerful model of the atom was developed by Erwin Schrödinger in 1926. Schrödinger combined the equations for the behavior of waves with the de Broglie equation to generate a mathematical model for the distribution of electrons in an atom.
Essentially a wave equation, the Schrödinger equation describes the form of the probability waves (or wave functions [see de Broglie wave]) that govern the motion of small particles, and it specifies how these waves are altered by external influences.
Proposed by Austrian physicist Erwin Schrodinger in 1926, the wave mechanical model is a complex mathematical description of the atom and its electrons. The x-dimension version of the Schrodinger wave equation is shown at the right.
Schrödinger expressed de Broglie’s hypothesis concerning the wave behaviour of matter in a mathematical form that is adaptable to a variety of physical problems without additional arbitrary assumptions.