Question

Miller indices of the line of intersection of (-1-11)and (110)are

Answer 1

Answer:

Miller indices form a notation system in crystallography for planes in crystal lattices. In particular, a family of lattice planes is determined by three integers h, k, and ℓ, the Miller indices. They are written, and denote the family of planes orthogonal to, where are the basis of the reciprocal lattice vectors.

Answer 2

Miller indices of the line of intersection of (-1-11) and (110) are [-110].

That is, the Miller indices are proportional to the inverses of the intercepts of the plane, in the basis of the lattice vectors. If one of the indices is zero, it means that the planes do not intersect that axis

(the intercept is "at infinity").

Miller indices examples:

For example,

a plane parallel to two axes but cutting the third axis at a length equal to one edge of a unit cell has Miller indices of (100), (010), or (001), depending upon the axis cut; and a plane cutting all three axes at lengths equal to the edges of a unit cell has Miller indices of (111).