light and matter/ wave-particle duality question

[cjw]

This is a frequent question yet one which is hard to decide which part of the theory the examiners are "requiring" in the answer...

Describe how the wave-particle duality of electrons can be used to explain the quantized energy levels of the atom? could someone please help

thanks

[kyzoo]

According to the wave model, electrons can establish a stable orbit if and only if the electrons sets up a standing wave within the orbit. This can only occur when the orbiit circumference is an whole number muiltiple of the electrn's de Broglie wavelength, a property that the electrno possesses due to wave-particle duality. Thus the electtron can only undergo specific orbits of quantitized circumference values. Each specific orbit correspond to a quanttiized energy level. Thus the wave-particle duality of electrons can be used to explain the quantitized energy levels of the atom.