Inorganic Chemistry
5th Edition
ISBN: 9781292134147
Author: Housecroft, Catherine E.
Publisher: Pearson,
expand_more
expand_more
format_list_bulleted
Question
Chapter 3, Problem 22P
Interpretation Introduction
Interpretation:
The number of degrees of vibrational freedom for each of the following: (a)
Concept Introduction:
Raman and infrared (IR) spectroscopies are branches of vibrational spectroscopy.
Vibrational spectroscopy is concerned with the observation and determination of number of the degrees of vibrational freedom.
The degrees of vibrational freedom depends on the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
(hydrogen iodide, the superscripts represent the atomic mass number)
(a) How fast will HI molecules rotate at the quantized rotational state with the rotational quantun number J of 2, given the bond length of 0.161 nim?
(b) Calculate the effective force constant of the vibrational mode of HI at a wavenumber of 2300 cm' measured by infrared absorption spectrum.
(c) HI has the bond energy of 3.06 eV. Applying the parabolic approximation to estimate the longest distance in which H and I atoms can be stretched before the dissociation of the molecular bond
How many normal modes (different types of vibrational motion) are predicted for the following
substances (a) Ar (b) CO (c) CO2 (d) NH3?
Calculate the rotational constant (B) for the molecule H12C14N, given that the H-C and C-N bond distances are 106.6 pm and 115.3 pm respectively.
Chapter 3 Solutions
Inorganic Chemistry
Ch. 3 - 3.1 Give the structures of the following...Ch. 3 - 3.2 In the group theory, what is meant by the...Ch. 3 - For each of the following 2-dimensional shapes,...Ch. 3 - Draw the structure of SO2 and identify its...Ch. 3 - 3.5 The structure of was shown in Fig. 2.1. Apart...Ch. 3 - By drawing appropriate diagrams, illustrate the...Ch. 3 - Using the answer to problem 3.6 to help you,...Ch. 3 - 3.8 Which of the following species or ions contain...Ch. 3 - Which of the following species contain C4 axis and...Ch. 3 - 3.10 How many mirror planes each do each of the...
Ch. 3 - (a) What structure would you expect Si2H6 to...Ch. 3 - Prob. 12PCh. 3 - Explain what is meant by an -fold axis of...Ch. 3 - 3.14 To which point group to does belong?
Ch. 3 - 3.15 The point group of is . What shape is this...Ch. 3 - 3.16 Determine the point group of .
Ch. 3 - 3.17 The point group of is . Draw the structure...Ch. 3 - 3.18 In worked example 2.7, the structure of the ...Ch. 3 - 3.19 Assign a point group to each member in the...Ch. 3 - (a) Deduce the point group of SF4. (b) Is SOF4 in...Ch. 3 - 3.21 Which of the point groups possess the highest...Ch. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - 3.25 By considering the effect of each symmetry...Ch. 3 - To what point group does CBr4 belong? Using the...Ch. 3 - Prob. 27PCh. 3 - Al2Cl6 belongs to the D2h point group: How many...Ch. 3 - Prob. 29PCh. 3 - Determine how many CO stretching modes are...Ch. 3 - 3.31 In 1993, the ion was reported for the first...Ch. 3 - Prob. 32PCh. 3 - (a) To which point group does a trigonal...Ch. 3 - Prob. 34PCh. 3 - Confirm the symmetry operations of (a) inversion...Ch. 3 - Prob. 42PCh. 3 - Prob. 43P
Knowledge Booster
Similar questions
- 3. ^14N^16O (the superscripts represent the atomic mass number) (a) NO molecules rotate at an angular velocity of 2.01x10^12 rev/s, at the quantized rotational state with the rotational quantum number J of 3. Calculate the bond length of NO molecules. (b) Can NO molecules rotate under light irradiation? Explain your answer. (c) Calculate the effective force constant of the vibrational mode of NO at a frequency of 5.63x10^13 Hz measured by the infrared absorption spectrum. (d) NO has a bond energy of 6.29 eV. Applying the parabolic approximation to estimate the longest distance in which N and O atoms can be stretched before the dissociation of the molecular bondarrow_forward(b) The lowest frequency rotational transition of ²H³³C1 occurs at 10.92 cm1. Determine (i) The rotational constant, B, in Hz (ii) The bond lengtharrow_forward559.7 cm¹, and a rotational constant, B = 0.244 cm ¹¹. 18. Chlorine has a vibrational constant, U = From this information, determine (a) the force constant and (b) the equilibrium bond length.arrow_forward
- Rotational spectra are affected slightly by the fact that different isotopes have different masses. Suppose a sample of the common isotope 1H35Cl is changed to 1H37Cl. (a) By what fraction is the molecule’s rotational inertia different? (The bond length is 0.127 nm in each case.) (b) What is the change in energy of theℓ = 1 to theℓ = 0 transition if the isotope is changed?arrow_forwardThe J = 0 to J = 1 rotational transition of the CO molecule occurs at a frequency of 1.15 x 1011 Hz.(A) Use this information to calculate the moment of inertia of the molecule. (B) Calculate the bond length of the molecule.arrow_forward(A) Explain why the spacings between the bands in the vibrational spectrum of a diatomic molecule would be expected to decrease with increasing vibrational quantum number. (B) Explain why a molecule with no dipole moment is microwave inactive but may show an infrared spectrum. (C) Explain the occurrence of P and R branches in the rotational fine structure of a vibrational transition of a diatomic molecule such as HCl or CO.arrow_forward
- Explain the importance of the quantization of vibrational, rotational, and translational energy as it relates to the behavior of atoms and molecules.arrow_forward9A.2 Write the valence bond wavefunction of the o bond in a C-H group of a molecule.arrow_forwardThe hydrogen halides have the following fundamental vibrational wavenumbers: 4141.3 cm−1 (1H19F); 2988.9 cm−1 (1H35Cl); 2649.7 cm−1 (1H81Br); 2309.5 cm−1 (H127I). Calculate the force constants of the hydrogen–halogen bonds.arrow_forward
- (c) Would you expect 109AgF to have a rotational constant that is higher,lower, or equal to that of 107AgF? Explain your reasoningarrow_forward3. Consider a 2 × 2 square lattice of spins interacting via the Ising Hamiltonian in the absence of a magnetic field: H = - ΣSi Sj, (ij) we have set J = 1. (a) Write down all the possible configurations and calculate the energy for each one of them. (b) Calculate the partition function Z, as a function of temperature, by summing over all configurations. (c) Repeat question (3a) and (3b), using periodic boundary condi- tions.arrow_forwardThe rotational constant of 12C16O2 (from Raman spectroscopy) is 11.70 GHz. What is the CO bond length in the molecule?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistryChemistryISBN:9781259911156Author:Raymond Chang Dr., Jason Overby ProfessorPublisher:McGraw-Hill EducationPrinciples of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage Learning
- Organic ChemistryChemistryISBN:9780078021558Author:Janice Gorzynski Smith Dr.Publisher:McGraw-Hill EducationChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage LearningElementary Principles of Chemical Processes, Bind...ChemistryISBN:9781118431221Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. BullardPublisher:WILEY
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY