- #1

maqdah

- 14

- 0

## Homework Statement

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.

## Homework 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.

## 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