Please plot out the first and second Brillouin zone for a two dimensional rectangular lattice system...

Question

Question

Please plot out the first and second Brillouin zone for a two dimensional rectangular lattice system with the length is 0.4 nm and the width is 0.2 nm. Please be sure to write down and marked the unit of in your X-Y axis (k-space). Derive a formula (or just write down an equation) for the area ratios of first Brillouin zone to the area of N-th one, where N-th is the second, the third, and the fourth Brillouin zone etc.

(Please be as brief as possible but clearly written)

Answer 1

Answer #1

anea of B oi n Zon area af 2d Billhouin Zene Bai llouin a b a b2nd (즈 1 12.

Answer 2

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