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Why and how quantum effect comes into picture?? How the density of states are calculated in nanowire/nanotubes??

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    It comes into effect due to the quantization of the wave-vector (k) in the respective so called direction of quantization (or direction of confinement), which results in changes of the Density of States function.

    The calculation/derivation can be found in any modern book dealing with semiconductor nanostructures.

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