Quantization of electron energy

The principal quantum number, n —> 1,2, , oo describes the quantization of electronic energy... 

Apart from the assumed quantization of orbital angular momentum the Bohr model predicted the quantization of electronic energy, radius, velocity and magnetic moment of atoms ... 

Atomic Particles, Photons and the Quantization of Electron Energies Heisenberg s Uncertainty Principle... 

The atomic spectrum of the hydrogen atom is described in Chapter 1. Its study, and that of other atomic spectra, provide much evidence for the quantization of electronic energy levels. The energy levels of the single electron in the hydrogen atom are represented by equation (2.1), which is derived from the Rydberg equation (1.16) in Chapter 1 ... 

In 1926, the Austrian physicist Erwin Schrodinger used the hypothesis that electrons have a dual wave-particle nature to develop an equation that treated electrons in atoms as waves. Unlike Bohr s theory, which assumed quantization as a fact, quantization of electron energies was a natural outcome of Schrodinger s equation. Only waves of specific energies, and therefore frequencies, provided solutions to the equation. Along with the uncertainty principle, the Schrodinger wave equation laid the foundation for modem quantum theory. Quantum theory describes mathematically the wave properties of electrons and other very small particles. 

Quantization of electron energies is a natural outcome of the Schrodinger wave equation, which describes the properties of an atom s electrons. 

In fact one can go even further back historically to examine whether, or the extent to which, the notion of electronic configurations originated with quantum theory. As the popular account has it, electronic configurations entered physics and chemistry when Bohr first introduced quantum theory into the study of atomic physics. This is perhaps a natural assumption given that there is a sense in which quantization of electron energy is synonymous with the notion of electrons in energy levels or shells. But, surprisingly perhaps, the idea of electrons in shells pre-dates Bohr s model of the atom and has no connection with quantum ideas of any form whatsoever. 

According to the wave mechanical or quantum mechanical model of electrons in atoms, the known quantization of electron energy in atoms occurs because only specific multiples of the standing wave associated with an electron s movement are allowed. Such a phenomenon is treated mathematically with the Schrodinger equa-... 

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