Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 44, Problem 17SP
To determine
The ground state electron configuration of carbon atom and comment on the reason silicon and carbon atom behave similarly.
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3. Atomic vibrations in a metal. Consider point ions of mass M and charge e immersed
in a uniform sea of conduction electrons. The ions are imagined to be in stable
equilibrium when at regular lattice points. If one ion is displaced a small distance r
from its equilibrium position, the restoring force is largely due to the electric charge
within the sphere of radius r centered at the equilibrium position. Take the number
density of ions (or of conduction electrons ) as 3/(47R³), which defines R. (a) Show
that the frequency of a single ion set into oscillation is @= (e²/MR³) ¹/2. (b)
Estimate the value of this frequency for sodium, roughly. (c) From (a), (b), and some
common sense, estimate the order of magnitude of the velocity of sound in metal.
An empirical interatomic pair potential for xenon atoms, in units of eV, and nm, and the lattice parameter
of Xenon is equal to 0.630 nm.
V(r) =
12.6 X 10-7 31.8 X 10-4
712
The calculated interatomic separation (nearest-neighbour) distance is:
A. 0.2227 nm.
B. 0.3536 nm
C. 0.4455 nm
D. 1.414 nm
In solid state course show that the lattice constant is :
SC = [2 x r]
FCC = [4 x r / (2)1/2]
BCC = [4 x r / (3)1/2]
Chapter 44 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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