Consider a monoclinic lattice in the direct space. Sketch (to scale) a portion o

Question

Consider a monoclinic lattice in the direct space. Sketch (to scale) a portion of the direct space lattice in the plane defined by base vectors a1 and a2 (a portion of a {001} plane containing the origin, a_1 = 2a_2 = 4A; gamma = 60 degree). Include lattice points 3, 3, 0 and -3, -3, 0 and all other lattice points at least as close to the origin as these. (b) Next sketch (to scale) the corresponding portion of the reciprocal lattice (plane containing hk0 type lattice points) and label the lattice points. Be sure to show the base vectors b_1 and b_2.

Explanation / Answer

Monoclinic system, one of the structural categories to which crystalline solids can be assigned. Crystals in this system are referred to three axes of unequal lengths—say, a, b, and c—of which a is perpendicular to b and c, but b and c are not perpendicular to each other. Space is defined by x,y and z coordinates

vector a1 and a2

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