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If a monoatomic one-dimensional solid of length L consists of 5 atoms, calculate the maximum allowed value of q (maximum valid value of q). Draw

If a monoatomic one-dimensional solid of length L consists of 5 atoms, calculate the maximum allowed value of q (maximum valid value of q). Draw the dispersion curve and label the valid states. Calculate the allowable value of frequency, ω closest to the boundary of Brillouin zone in terms of the maximum frequency, ωmax

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