Deduce primitive lattice vectors from position vector.

by maqdah
Tags: deduce, lattice, position, primitive, vector, vectors
maqdah is offline
Mar28-12, 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
Phys.Org News Partner Science news on
Going nuts? Turkey looks to pistachios to heat new eco-city
Space-tested fluid flow concept advances infectious disease diagnoses
SpaceX launches supplies to space station (Update)
maqdah is offline
Apr6-12, 05:39 AM
P: 14
Any hint in the right direction is helpful?

Register to reply

Related Discussions
{vectors}find the position vector of this Precalculus Mathematics Homework 4
primitive lattice vectors, reciprocal lattice, wigner seitz cell Atomic, Solid State, Comp. Physics 1
Vector function, position and tangent vectors Calculus & Beyond Homework 2
Deriving Vector and position vectors from Force vector Introductory Physics Homework 3
How do I find the reciprocal primitive vector for a lattice? Advanced Physics Homework 3