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, Problem 4.22P
Using the
a. Determine the order of the group.
b. Verify that the E irreducible representation is orthogonal to each of the other irreduciblerepresentations.
c. For each of the irreducible representations, verify that the sum of the squares of thecharacters equals the order of the group.
d. Reduce the following representations to their component irreducible representations:
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Consider the D2d point group.a. What is the order (h)?b. How many classes are there?c. How many irreducible representations are there?d. Which irreducible representation(s) that is/are antisymmetric with respect to the C2 operation?e. Which irreducible representation is based on the z-axis?f. Show that the A1 and B1 irreducible representations are orthogonal.
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I R R, R xy.
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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