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PHY.K02UF Molecular and Solid State Physics | ||||
→k=u→b1+v→b2+w→b3⃗k=u⃗b1+v⃗b2+w⃗b3 : (u,v,w)(u,v,w)
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The real space and reciprocal space primitive translation vectors are:
→a1=a2(ˆx+ˆy−ˆz),→a2=a2(−ˆx+ˆy+ˆz),→a3=a2(ˆx−ˆy+ˆz),→b1=2πa(ˆkx+ˆky),→b2=2πa(ˆky+ˆkz),→b3=2πa(ˆkx+ˆkz).The first Brillouin zone of an bcc lattice has the same shape (a rhombic dodecahedron) as the Wigner-Seitz cell of a fcc lattice. Some crystals with an bcc Bravais lattice are Li, Na, K, Cs, V, Cr, Fe, Nb, Mo, Rb, Ba, Ta.