If a plane has intercepts at 2a, 3a, and 4a along the three Cartesian coordinate

Question

If a plane has intercepts at 2a, 3a, and 4a along the three Cartesian coordinates, where a is the lattice constant, find the Miller indices of the planes. a) A) Find the number of atoms per square centimeter in silicon in the (100) (110) and (111) planes. b) A unit cell of GaAs is shown as below. Calculate the density of GaAs (a=5.65 Angstrom, and the atomic weights of Ga and As are 69.72 and 74.92 g/mol, respectively). c) How many valence electrons are in a tin atom? How many valence electrons are in a Ga atom and an As atom, respectively? A GaAs sample doped with tin. If the tin displaces Ga atoms in crystal lattice, are donors or acceptors formed? Is the semiconductor n- or p-type?

Explanation / Answer

Intercept=(2a,3a,4a)

Dividing by a

=(2,3,4)

Taking reciprocal

=(0.5,0.33,0.25)=miller indices

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