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 4.2, Problem 4.3E
Use the procedure described previously to verify the point groups of the molecules in Table 4.4.
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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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- Structural isomers can have very different point groups. Determine the point groups of 1,4cyclohexadiene and 1,3cyclohexadiene, which both have the molecular formula C6H8.arrow_forwardWhat are the number of classes and the order of the following point groups? a C2v b D2h c D6h d S4 e Cs.arrow_forwardShow that the irreducible representations of the D2d point group satisfy the closure requirement. You will have to use the great orthogonality theorem to reduce one combination.arrow_forward
- Explain why this proposed irreducible representation for C2v is impossible. EC2A?1100arrow_forwardShow that any irreducible representation of these point groups is normalized. a C2 b D2d c Oh d C4h e C6varrow_forwardReduce the following reducible representations using the great orthogonality theorem. a In the C2 point group: EC251 b In the C3v point group: E2C23v600 c In the D4 point group: E2C4C22C22C262224 d In the Td point group: E8C33C26S46d72311arrow_forward
- a Show that the C3v point group satisfies the closure property of a mathematical group. b Show that the C3v point group satisfies the associative law by evaluating v(EC3) and (vE)C3.arrow_forwardDetermine which single symmetry operation of the following point groups is equivalent to the given combination of multiple symmetry operations. a In C2v, C2v=? b In C2h, iC2=? c In D6h, C6h=? d In D2d, C2C2=? e In Oh, iS4=?arrow_forwardShow that any two of the irreducible representations of the following point groups are orthogonal to each other. a C2 b C2v c D2h d Oh e Tdarrow_forward
- Point groups are called such because all of the symmetry elements in the group intersect at one point in space. For point groups that have i as a symmetry operation, why must i be at that point?arrow_forwardDetermine the point groups of the following molecules. a Fe(CO)5, which has a trigonal bipyramidal structure, b CO32, which has three resonance structures that contribute to its overall shape, c The perfectly staggered conformation of ethane, d The perfectly eclipsed conformer of ethane.arrow_forwardWhy is it unnecessary to consider whether an irreducible representation from C4h is orthogonal to an irreducible representation of D6h?arrow_forward
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