Applied Physics (11th Edition)
11th Edition
ISBN: 9780134159386
Author: Dale Ewen, Neill Schurter, Erik Gundersen
Publisher: PEARSON
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Chapter 23.4, Problem 3P
To determine
Which atom is one electron short of having the
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What is the binding energy for an electron in the ground state in the following hydrogen-like atoms?
a) For: He++ (Z=2)
E1 = ______ eV
b) For: Li2+2+ (Z=3)
E1= ________ eV
3. Consider a monatomic linear with equilibrium separation a. Suppose the outer
electrons (of mass m) in a given atom move with a displacement different from that
of the corresponding ion core (of mass M). Let the displacement of the ion core s be:
Us = uei(Ksa-wt)
and the displacement of the center of mass of the outer electrons associated with ion s
be:
V = vei(Ksa-wt)
Each ion core is assumed to interact only with its own outer electrons with a force
proportional to the displacement of the electron distribution from the nucleus, and the
force constant is C₂. However, neighboring electron distributions interact with a force
constant C₁.
a) Show that
-w² Mus = C₂ (vs - Us)
-w²mvs = C₂ (us - Vs) + C₁ (Vs+1 + Vs-1-2vs)
b) Substitute for the displacements, and solve the resulting simultaneous equations.
Find an expression for w².
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core), and show that the dispersion relation for the acoustic mode is…
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13.6 eV
n²
En
=
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6.80 eV
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Chapter 23 Solutions
Applied Physics (11th Edition)
Ch. 23.3 - Prob. 1PCh. 23.3 - Prob. 2PCh. 23.3 - Prob. 3PCh. 23.3 - Prob. 4PCh. 23.3 - Prob. 5PCh. 23.4 - Prob. 1PCh. 23.4 - Prob. 2PCh. 23.4 - Prob. 3PCh. 23.4 - Prob. 4PCh. 23.5 - Prob. 1P
Ch. 23.5 - Prob. 2PCh. 23.5 - Prob. 3PCh. 23.5 - Prob. 4PCh. 23.5 - Prob. 5PCh. 23.5 - Prob. 6PCh. 23.5 - Prob. 7PCh. 23.5 - Prob. 8PCh. 23.5 - Prob. 9PCh. 23.5 - Prob. 10PCh. 23.5 - Prob. 11PCh. 23.5 - Prob. 12PCh. 23.5 - Prob. 13PCh. 23.5 - Prob. 14PCh. 23.6 - Prob. 1PCh. 23.6 - Prob. 2PCh. 23.6 - Prob. 3PCh. 23.6 - Prob. 4PCh. 23.6 - Prob. 5PCh. 23.6 - Estimate the average binding energy per nucleon...Ch. 23.6 - Estimate the average binding energy per nucleon...Ch. 23.6 - Estimate the average binding energy per nucleon...Ch. 23.7 - Prob. 1PCh. 23.7 - Find the half-life of a radioactive sample if its...Ch. 23.7 - Prob. 3PCh. 23.7 - Prob. 4PCh. 23.7 - Find the percent of a sample of C55124s that will...Ch. 23.7 - Prob. 6PCh. 23.7 - Find the remaining quantity of uranium 238 atoms...Ch. 23.7 - Prob. 8PCh. 23.7 - Find the percent of a C614 sample that will decay...Ch. 23.7 - Find the percent of a radioactive sample of...Ch. 23.9 - Prob. 1PCh. 23.9 - Prob. 2PCh. 23.9 - Prob. 3PCh. 23.9 - Prob. 4PCh. 23.9 - Prob. 5PCh. 23.9 - Prob. 6PCh. 23.9 - Prob. 7PCh. 23 - Prob. 1RQCh. 23 - Einstein's equivalence principle relates to a....Ch. 23 - Prob. 3RQCh. 23 - Prob. 4RQCh. 23 - Prob. 5RQCh. 23 - Prob. 6RQCh. 23 - Describe the differences between the electric...Ch. 23 - Prob. 8RQCh. 23 - Prob. 9RQCh. 23 - What is the difference among the following...Ch. 23 - Prob. 11RQCh. 23 - Prob. 12RQCh. 23 - Prob. 13RQCh. 23 - Prob. 14RQCh. 23 - Prob. 15RQCh. 23 - What important discovery was made by Enrico Fermi?Ch. 23 - Prob. 17RQCh. 23 - Prob. 18RQCh. 23 - Prob. 19RQCh. 23 - What fraction of a radioactive sample has not...Ch. 23 - Prob. 21RQCh. 23 - Prob. 22RQCh. 23 - Prob. 1RPCh. 23 - Prob. 2RPCh. 23 - Prob. 3RPCh. 23 - Prob. 4RPCh. 23 - Prob. 5RPCh. 23 - Prob. 6RPCh. 23 - Prob. 7RPCh. 23 - Prob. 8RPCh. 23 - Prob. 9RPCh. 23 - Prob. 10RPCh. 23 - Estimate the average binding energy for R75187e...Ch. 23 - Prob. 12RPCh. 23 - Find the remaining quantity of iodine 131 atoms...Ch. 23 - Find the percent of a strontium 88 sample that...Ch. 23 - Find the percent of an osmium 191 sample that will...Ch. 23 - Prob. 16RPCh. 23 - Prob. 17RPCh. 23 - Prob. 18RPCh. 23 - Prob. 19RPCh. 23 - Prob. 20RPCh. 23 - Prob. 1ACCh. 23 - Prob. 2ACCh. 23 - The binding energy for a H24e nucleus is 28.40...Ch. 23 - Prob. 4ACCh. 23 - Prob. 5AC
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