Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 11, Problem 6P
(a)
To determine
The reduced mass of the
(b)
To determine
Plot the graph between the potential energy and inter-nuclear separation in the vicinity of
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The net potential energy E_N between two adjacent ions is sometimes represented by the expression: E_N = -C/r + D times exp (-r/rho) in which r is the interionic separation and C, d, and rho are constants whose values depend on the specific material. Derive an expression for the bonding energy E_0 in terms of the equilibrium interionic separation r_0 and the constants D and rho. Derive another expression for E_0 in terms of r_0, C and rho.
Show that the moment of inertia of a diatomic molecule composed of atoms of masses mA and mB and bond length R is equal to meffR2, where meff = mAmB/(mA + mB).
(b)
Describe the nature and origin of various forces existing between the atoms of a crystal.
Explain the formation of a stable bond using the potential energy versus interatomic
distance curve.
Assume that the potential energy of two particles in the field of each other is given by
U(R) = - R
where A and B are constants.
R9
(i) Show that the particles form a stable compound for
R= R. = (9B/A)/8
(R, is equilibrium separation)
i) Show that for stable configuration, the energy of attraction is nine times the energy
of repulsion.
8A
(iii) Show that the potential energy of the system under stable configuration is
9Re
Chapter 11 Solutions
Modern Physics
Ch. 11.2 - Compare the effective force constant for the CO...Ch. 11 - Prob. 1QCh. 11 - Prob. 2QCh. 11 - Prob. 3QCh. 11 - Prob. 4QCh. 11 - Prob. 5QCh. 11 - Prob. 7QCh. 11 - Prob. 8QCh. 11 - Prob. 9QCh. 11 - Prob. 1P
Ch. 11 - Use the data in Table 11.2 to calculate the...Ch. 11 - The CO molecule undergoes a rotational transition...Ch. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - The v = 0 to v = 1 vibrational transition of the...Ch. 11 - Consider the HCl molecule, which consists of a...Ch. 11 - Prob. 10PCh. 11 - Prob. 11PCh. 11 - Prob. 12PCh. 11 - Prob. 13PCh. 11 - Prob. 14PCh. 11 - Prob. 15PCh. 11 - Prob. 18P
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