c) For a general reciprocal lattice vector of the form vec(G)=(2 pi )/(a)(hhat(x)+khat(y)+lhat(z)),h,k,linZ, calculate the structure factor S_(vec(G))= sum_(j=1)^s f_(j)e^(ivec(G)*vec(r)_(j)) by viewing the crystal as a simple cubic lattice with a basis consisting of four identical atoms. (5 marks) d) If we add an extra atom of the same type to th solutionspile.com

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c) For a general reciprocal lattice vector of the form

vec(G)=(2\pi )/(a)(hhat(x)+khat(y)+lhat(z)),h,k,linZ,

calculate the structure factor

S_(vec(G))=\sum_(j=1)^s f_(j)e^(ivec(G)*vec(r)_(j))

by viewing the crystal as a simple cubic lattice with a basis consisting of four identical atoms. (5 marks) d) If we add an extra atom of the same type to the centre of every conventional cell of the FCC lattice, is the resulting lattice, i.e. a chimera of a FCC and a body centered cubic (BCC) lattice, still a Bravais lattice? If yes, which Bravais lattice is it, and why? If not, give a brief quantitative explanation. (5 marks)

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Expert Answer to -  c) For a general reciprocal lattice vector of the form vec(G)=(2 pi )/(a)(hhat(x)+khat(y)+lhat(z)),

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Solution for -  c) For a general reciprocal lattice vector of the form vec(G)=(2 pi )/(a)(hhat(x)+khat(y)+lhat(z)),

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This an additional answer to -  c) For a general reciprocal lattice vector of the form vec(G)=(2 pi )/(a)(hhat(x)+khat(y)+lhat(z)),

(Solved): c) For a general reciprocal lattice vector of the form vec(G)=(2\pi )/(a)(hhat(x)+khat(y)+lhat(z)), ...

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