Question

a. The primitive translation vectors of the Tetragonal space lattice may be taken as a1 = a x̂, a2 = a ŷ, a3 = c ẑ Find the interplanar spacing for planes (hkl) in this lattice. b. If the volume of a unit cell of the direct lattice is V, show that the volume of a unit cell of the reciprocal lattice is (2π)³/V. c. The primitive translation vectors of the hexagonal space lattice may be taken as a1 = (√3/2 a) x̂ + (a/2) ŷ ; a2 = −(√3/2 a) x̂ + (a/2) ŷ ; a3 = c ẑ Show that the reciprocal lattice is a hexagonal lattice.

          a. The primitive translation vectors of the Tetragonal space lattice may be taken as
a1 = a x̂, a2 = a ŷ, a3 = c ẑ
Find the interplanar spacing for planes (hkl) in this lattice.

b. If the volume of a unit cell of the direct lattice is V, show that the volume of a unit cell of the reciprocal lattice is (2π)³/V.

c. The primitive translation vectors of the hexagonal space lattice may be taken as
a1 = (√3/2 a) x̂ + (a/2) ŷ ; a2 = −(√3/2 a) x̂ + (a/2) ŷ ; a3 = c ẑ
Show that the reciprocal lattice is a hexagonal lattice.

a the primitive translation vectors of the tetragonal space lattice may be taken as a ax 62 ay a3 ci find the interplanar spacing for planes hkl in this lattice b if the volume of a unit cel 60115

Added by Curtis M.

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