(a) Determine the expression for the lattice translation vector
r_()
in terms of the primitive vectors
a
and
b_()
shown on the lattice below. Show all the primitive vector steps to illustrate your answer. (b) Is the pair of vectors
c_()
and a primitive pair? Explain, using the definition for translation vectors.

Question

(a) Determine the expression for the lattice translation vector

r_()

in terms of the primitive vectors

a

and

b_()

shown on the lattice below. Show all the primitive vector steps to illustrate your answer. (b) Is the pair of vectors

c_()

and a primitive pair? Explain, using the definition for translation vectors.

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