4 The lattice constant of a single crystal is 4.50 A. Calculate the surface density of atoms (# per cm) on the following planes: (i) (100), (ii) (110), (iii) (111) for each of the following lattice structures: (a) simple cubic, (b) body-centered cubic, and (c) face-centered cubic. 5 Determine the surface density of atoms for silicon on the (a) (100) plane. (b) (110) plane, and (c) (111) plane. 6 Consider a face-centered cubic lattice. Assume the atoms are hard spheres with the surfaces of the nearest neighbors touching. Assume the radius of the atom is 2.25 A. (a) Calculate the volume density of atoms in the crystal. (b) Calculate the distance between ncarest (110) planes. (c) Calculate the surface density of atoms on the (110) plane.

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Physics And Measurement
Section: Chapter Questions
Problem 7P: A crystalline solid consists of atoms stacked up in a repeating lattice structure. Consider a...
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Question 4:-

4 The lattice constant of a single crystal is 4.50 Å. Calculate the surface density of
atoms (# per cm²) on the following planes: (i) (100),. (ii) (110), (ii) (111) for each of
the following lattice structures: (a) simple cubic, (b) body-centered cubic, and
(c) face-centered cubic.
5 Determine the surface density of atoms for silicon on the (a) (100) plane. (b) (110)
plane, and (c) (111) plane.
6 Consider a face-centered cubic lattice. Assume the atoms are hard spheres with the
surfaces of the nearest neighbors touching. Assume the radius of the atom is 2.25 Å.
(a) Calculate the volume density of atoms in the crystal. (b) Calculate the distance
between nearest (110) planes. (c) Calculate the surface density of atoms on the
(110) plane.
Transcribed Image Text:4 The lattice constant of a single crystal is 4.50 Å. Calculate the surface density of atoms (# per cm²) on the following planes: (i) (100),. (ii) (110), (ii) (111) for each of the following lattice structures: (a) simple cubic, (b) body-centered cubic, and (c) face-centered cubic. 5 Determine the surface density of atoms for silicon on the (a) (100) plane. (b) (110) plane, and (c) (111) plane. 6 Consider a face-centered cubic lattice. Assume the atoms are hard spheres with the surfaces of the nearest neighbors touching. Assume the radius of the atom is 2.25 Å. (a) Calculate the volume density of atoms in the crystal. (b) Calculate the distance between nearest (110) planes. (c) Calculate the surface density of atoms on the (110) plane.
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