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B An Important Lattice Sum

Applying periodic boundary conditions, we have, according to (2.34), eiq Na and therefore [Pg.202]

C) Hamiltonian for the Diatomic Chain in Terms of Normal Coordinates [Pg.203]

Substituting this expression in the kinetic energy in (2.3) gives [Pg.203]

According to (B.5), the sum over % is different from zero only if q = - q (here q and q are restricted to the first Brillouin zone). This result together with (2.48,31,25) leads to the expression [Pg.203]

The transformation of the potential energy in (2.3) is more complicated. Substitution of (2.47) in the sums [Pg.203]


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