Important types of lattice structures | tec-science
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Two-dimensional hexagonal lattice. Consider an hexagonal two-dimensional lattice with lattice parameter a = 5 Å. Calculate the value of Debye frequency. Take speed of sound in lattice to be 5 × 10^3 ms^-1.
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SOLVED: Hexagonal space laltice. The primitive translation vectors of the hexagonal space lattice may be taken as (3'2a/2); (a/2)y (3"2a/2)1 (a/2)y 43 = cz Show that the volume ofthe primitive cell is (3V2/2)a"€. (b) Show that the primitive translations of the reciprocal lattice are b, = (27/3l-a) (2rlaly bz = -(27/3"a) (2rla)y b; = (2wlc)iso that the lattice is its oun reciprocal, but with rotation of ares (c) Descrihe and sketeh the first Brillonin zone of the hexagonal space lattice.
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