MATERIALS SCI.+ENGR.:INTRO.-NEXTGEN
10th Edition
ISBN: 9781119503941
Author: Callister
Publisher: WILEY
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Question
Chapter 3, Problem 17QAP
(a)
To determine
The number of atoms in each unit cell.
(b)
To determine
The theoretical density of iodine.
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Show all the work
The schematic figure below shows a face-centered cubic (FCC) lattice with a lattice constant
of a.
Draw the lattice vectors of a primitive unit cell for the FCC lattice. Also write them in equation form and derive an expression for the reciprocal lattice vectors of an FCC lattice
Using these sets of reciprocal lattice vectors, draw (or generate) the reciprocal lattice of FCC in re-
ciprocal space. Show that this reciprocal lattice is equivalent to a body-centered cubic lattice with a lattice
constant of 4pi/a
Derive the 3D density of states for a system of electrons with the dispersion relation (in the picture)
Assume that there is no spin degeneracy
Chapter 3 Solutions
MATERIALS SCI.+ENGR.:INTRO.-NEXTGEN
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