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Structural Chemistry 2016 Solutions of Homework 3 Problems Chapter 5 & Chapter 6 Keisuke Goda Department of Chemistry University of Tokyo

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Page 1: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Structural Chemistry2016

Solutions of Homework 3 ProblemsChapter 5 & Chapter 6

Keisuke Goda Department of Chemistry

University of Tokyo

Page 2: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 1 Rotational Spectrum of Spherical Rotor Molecules

Page 3: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 1 Rotational Spectrum of Spherical Rotor Molecules

Page 4: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 2 Centrifugal Distortion

Page 5: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 3Rotational Raman Spectrum

2

Page 6: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 3Rotational Raman Spectrum

Page 7: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 4 Moment of Inertia(From PW Atkins, “Physical Chemistry”, Problem 13.21)

Page 8: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 5 Moment of Inertia(From PW Atkins, “Physical Chemistry”, Problem 13.4)

Page 9: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 5

Page 10: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 6 Morse Oscillator

Page 11: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 7Vibration Spectroscopy(From WS Struve, “Fundamentals of Molecular Spectroscopy”, Problem 3.3)

Page 12: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 7

Page 13: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 7

Page 14: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 7

where

Page 15: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 8 Vibration Spectroscopy(From WS Struve, “Fundamentals of Molecular Spectroscopy”, Problem 10.19)

Page 16: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 9Vibration Spectroscopy(From PW Atkins, “Physical Chemistry”, Problem 13.14)

Page 17: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 9

Page 18: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 9Vibration Spectroscopy(From PW Atkins, “Physical Chemistry”, Problem 13.14)

Page 19: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 10Vibration Spectroscopy(From PW Atkins, “Physical Chemistry”, Problem 13.12)

Page 20: Structural Chemistry 2016 - GODA LAB · Structural Chemistry 2016 Solutions of Homework 3Problems ... (From PW Atkins, “Physical Chemistry”, Problem 13.12) Problem 10. ig is rctcr,

Problem 10