Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Question
Chapter 14, Problem 14.97E
Interpretation Introduction
Interpretation:
The values of
Concept introduction:
An electronic state of energy has its own vibrational states. The energy between the electronic states is large followed by vibrational states and then rotational states. During an electronic transition, electron from ground state moves straight to the excited state keeping the internuclear distance constant.
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Starting from the formula for the rotational energy levels:
ħ²
EJ J(J+1)
=
J = 0, 1, 2...
21
Show that:
ħ²
AE = 1/² (J+1)
Δε
J = 0,1,2...
Predict the shape of the nitronium ion, NO2+, from its Lewis structure and the VSEPR model. It has one Raman active vibrational mode at 1400 cm−1, two strong IR active modes at 2360 and 540 cm−1, and one weak IR mode at 3735 cm−1. Are these data consistent with the predicted shape of the molecule? Assign the vibrational wavenumbers to the modes from which they arise.
Consider the rotational spectrum of a linear molecule at 298 K with a moment of inertia of 1.23×10−461.23\times10^{-46}1.23×10−46 kg m2 .
(a) What is the frequency for the transition from J = 2 to J = 3?
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Chapter 14 Solutions
Physical Chemistry
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