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Quantum confinement in ZnO nanorods
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13.Strictly speaking, the effective mass approximation used here might not be appropriate for such a small system and calculations based on atomistic theories might be required; however, such calculations are beyond the scope of this letter.
15.The ground state wave function in the barrier is described by the Hankel function, , which, at large , behaves as , where with (the barrier potential energy) larger than (the energy of the particle). Since the exponential term dominates the decay of the wave function, we take the penetration length to be equal to .
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