General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 29, Problem 44E
(a)
To determine
The threefold splitting of
(b)
To determine
The reason for splitting of
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The bond length in F2 is 1.417 Å, instead of twice theatomic radius of F, which is 1.28 Å. What can account forthe unexpected length of the F_ F bond?
(a) In an HCl molecule, take the Cl atom to be the isotope 35Cl. The equilibrium separation of the H and Cl atoms is 0.127 46 nm. The atomic mass of the H atom is 1.007 825 u and that of the 35Cl atom is 34.968 853 u. Calculate the longest wavelength in the rotational spectrum of this molecule. (b) What If? Repeat the calculation in part (a), but take the Cl atom to be the isotope 37Cl, which has atomic mass 36.965 903 u. The equilibrium separation distance is the same as in part (a). (c) Naturally occurring chlorine contains approximately three parts of 35Cl to one part of 37Cl. Because of the two different Cl masses, each line in the microwave rotational spectrum of HCl is split into a doublet as shown. Calculate the separation in wavelength between the doublet lines for the longest wavelength.
The energy between a pair of atoms with respect to their distance r can be described
by the Lennard-Jones
potential:
VLJ(r) = 4ɛ
12
[9¹-9]
r
6
e
a) For € = 0.5 eV, and σ= 0.2 nm, calculate the bond length [Hint: The math is much
easier if you keep the units as eV and nm].
b) Show that the bond energy is equal to epsilon.
Chapter 29 Solutions
General Physics, 2nd Edition
Ch. 29 - Prob. 1RQCh. 29 - Prob. 2RQCh. 29 - Prob. 3RQCh. 29 - Prob. 4RQCh. 29 - Prob. 5RQCh. 29 - Prob. 6RQCh. 29 - Prob. 7RQCh. 29 - Prob. 8RQCh. 29 - Prob. 9RQCh. 29 - Prob. 10RQ
Ch. 29 - Prob. 1ECh. 29 - Prob. 2ECh. 29 - Prob. 3ECh. 29 - Prob. 4ECh. 29 - Prob. 5ECh. 29 - Prob. 6ECh. 29 - Prob. 7ECh. 29 - Prob. 8ECh. 29 - Prob. 9ECh. 29 - Prob. 10ECh. 29 - Prob. 11ECh. 29 - Prob. 12ECh. 29 - Prob. 13ECh. 29 - Prob. 14ECh. 29 - Prob. 16ECh. 29 - Prob. 17ECh. 29 - Prob. 18ECh. 29 - Prob. 19ECh. 29 - Prob. 21ECh. 29 - Prob. 22ECh. 29 - Prob. 24ECh. 29 - Prob. 25ECh. 29 - Prob. 26ECh. 29 - Prob. 27ECh. 29 - Prob. 28ECh. 29 - Prob. 29ECh. 29 - Prob. 30ECh. 29 - Prob. 31ECh. 29 - Prob. 32ECh. 29 - Prob. 33ECh. 29 - Prob. 34ECh. 29 - Prob. 35ECh. 29 - Prob. 36ECh. 29 - Prob. 37ECh. 29 - Prob. 38ECh. 29 - Prob. 39ECh. 29 - Prob. 40ECh. 29 - Prob. 41ECh. 29 - Prob. 42ECh. 29 - Prob. 43ECh. 29 - Prob. 44E
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