Show that the solutions of lames equations are given

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Reference no: EM131382743

Lame's equations ´ The directions in which X-rays are strongly scattered by a crystal are determined from the solutions x of Lame's equations, namely

x·a = L, x·b = M, x·c = N,

where {a, b, c} are the basis vectors of the crystal lattice, and L, M, N are any integers. Show that the solutions of Lame's equations are

x = La* + Mb* + Nc*,

where {a∗, b∗, c∗} is the reciprocal basis to {a, b, c}.

Reference no: EM131382743

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