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Deduce primitive lattice vectors from position vector. 
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#1
Mar2812, 09:53 AM

P: 14

1. The problem statement, all variables and given/known data
given the following position vector: R = (10n1 + 9n2 + 19n3)(a/10) x + 6(n2+n3)(a/5) y + 2(n3)a z where n1, n2 and n3 are integers Find the primitive lattice vectors. 2. Relevant equations any position vector of a lattice point is of the type R= c1 a1 + c2 a2 + c3 a3; and a position vector like the one showed above is a linear combination of the primitive lattice vectors a1, a2 and a3. 3. The attempt at a solution I think I solved the question correctly, but my intuition tells me its wrong: we can do the following: a1 = a/10 X a2 = a/5 Y a3 = a Z In our case, since n1,n2 and n3 are just integers: c1 = 10n1 + 9n2 + 19n3 c2 = 6(n2 + n3) c3 = 2n3 


#2
Apr612, 05:39 AM

P: 14

Any hint in the right direction is helpful?



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