How to Find Plane Intersection in FCC Lattice Primitive Unit Cell

[td21]

Homework Statement

Consider a plane (hkl) in a fcc lattice, show the correspond miller indices (h1k1l1) in the primitive unit cell.

Homework Equations

The Attempt at a Solution

so (hkl) intersect a/h,a/k,a/l in the fcc lattice right?
but in the primitive unit cell of fcc, i cannot determine the plane's intersection.
Are there any formula for this?
Thanks.

 

[johng23]

You need to find the intersection of a plane with 3 different vectors. Just be careful to define both the plane and the vectors using the same conventions. If you don't remember how to define the plane, think about the fact that the plane normal is (obviously) normal to any vector lying in the plane, and write that statement mathematically.