Inorganic Chemistry
5th Edition
ISBN: 9780321811059
Author: Gary L. Miessler, Paul J. Fischer, Donald A. Tarr
Publisher: Prentice Hall
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Textbook Question
Chapter 4.4, Problem 4.12E
Analysis of the x, y, and z coordinates of each atom in
a. Reduce
b. Classify the irreducible representations into translational, rotational, and vibrational modes.
c. Show that the total number of degrees of freedom
d. Which vibrational modes are infrared active?
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Consider a trigonal bipyramidal molecule XY5.
(i) To which point group does this molecule belong?
(ii) How many normal modes and how many stretching vibrations will this molecule exhibit?
(iii) Determine the irreducible representations of stretching vibrations of this molecule. Clearly show all your work.
(iv) Which of these vibrations stretching are IR and which are Raman active? Justify your choice
How many normal modes and how many stretching vibrations will this molecule exhibit
The structure of [NO3]-is either trigonal planar or trigonal pyramidal draw both possible structures and determine the point group for each.
Which irreducible representations represent the translational and rotational modes for each possible structure of [NO3]-?
Which irreducible representations correspond to the vibrational modes for each possible structure of [NO3]-? How many degrees of freedom would you expect for each structure of [NO3]-?
Calculate T-vibrationaland determine which modes you expect to be IR active for each structure.
Determine the number (and relative intensity) of IR-active C–O stretching vibrations for fac-[Mo(CO)3(NCMe)3]:
Proceed as follows...
Determine the point group of the molecule. Do not descend in symmetry.
Construct a reducible representation for the CO vibrations (ΓCO) -- [please explain how to determine the number of unshifted atoms]
Decompose ΓCO into its irreducible representation ΓCO,i.r.
Determine which are IR active (number of IR active modes)
Double degenerate modes (i.r. with E symmetry) are ≈ twice as intense as other modes, and
triply degenerate modes (i.r. with T symmetry) are ≈ three times as intense.
Chapter 4 Solutions
Inorganic Chemistry
Ch. 4.1 - Prob. 4.1ECh. 4.1 - Find all the symmetry elements in the following...Ch. 4.2 - Use the procedure described previously to verify...Ch. 4.3 - Prob. 4.4ECh. 4.3 - Verify the transformation matrices for the E and...Ch. 4.3 - Prepare a representation flowchart according to...Ch. 4.4 - Which point groups are possible for chiral...Ch. 4.4 - Write the corresponding 99 transformation matrices...Ch. 4.4 - Using the x, y, and z coordinates for each atom in...Ch. 4.4 - Reduce the following representations to their...
Ch. 4.4 - Prob. 4.11ECh. 4.4 - Analysis of the x, y, and z coordinates of each...Ch. 4.4 - Determine the number of IR-active CO stretching...Ch. 4.4 - Prob. 4.14ECh. 4 - Determine the point groups for a. Ethane...Ch. 4 - Determine the point groups for a. Ethylene b....Ch. 4 - Determine the point groups for a. Acetylene b....Ch. 4 - Determine the point groups for a. Naphthalene b....Ch. 4 - Determine the point groups for a. 1,1’ ...Ch. 4 - Determine the point groups for a. Cyclohexane...Ch. 4 - Determine the point groups for a. A sheet of...Ch. 4 - Determine the point groups for a. A flat oval...Ch. 4 - Determine the point groups for a. A triangular...Ch. 4 - Determine the point groups for the examples of...Ch. 4 - Determine the point groups of the molecules in the...Ch. 4 - Determine the point groups of the molecules and...Ch. 4 - Determine the point groups of the following atomic...Ch. 4 - a. Show that a cube has the same symmetry elements...Ch. 4 - Suppose an octahedron can have either yellow or...Ch. 4 - What point groups are represented by the symbols...Ch. 4 - Prob. 4.17PCh. 4 - Determine the point groups for the following flags...Ch. 4 - Prepare a representation flowchart according to...Ch. 4 - For trans-1,2-dichloroethylene, which has C2h...Ch. 4 - Ethylene has D2h symmetry. a. List all the...Ch. 4 - Using the D2d character table, a. Determine the...Ch. 4 - Reduce the following representations to...Ch. 4 - For D4h symmetry use sketches to show that dxy...Ch. 4 - Prob. 4.25PCh. 4 - XeOF4 has one of the more interesting structures...Ch. 4 - Repeat the procedure from the previous problem,...Ch. 4 - For the following molecules, determine the number...Ch. 4 - Prob. 4.29PCh. 4 - The structure of 1,1,2,2-tetraiododisilane is...Ch. 4 - Both cis and trans isomers of IO2F4 have been...Ch. 4 - White elemental phosphorus consists of tetrahedral...Ch. 4 - Complexes of the general formula Fe(CO)5x( PR3)x...Ch. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Determine the point groups of the following...Ch. 4 - Prob. 4.40PCh. 4 - Determine the point groups of the following: a....Ch. 4 - Use the Internet to search for molecules with the...
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