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 4.3, Problem 4.5E
Verify the transformation matrices for the E and
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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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- PCl3 belong to C3V point group ? (b) Write down the totally symmetric representation of the point group of PCl3. (c) What is a symmetry-adapted linear combination of atomic orbitals? (d) Construct a linear-combination of 3s(Cl) atomic orbitals, ?1, such that ?1 belongs to the totally symmetric representation of the point group of PCl3. (e) Construct a linear-combination of 3p(Cl) atomic orbitals, ?2, such that ?2 belongs to the totally symmetric representation of the point group of PCl3.arrow_forwardWrite the transformation matrices for all the symmetry elements present in the C2v point grouparrow_forwardIdentify the point groups to which the following objects belong: (i) a sphere, (ii) an isosceles triangle, (iii) an equilateral triangle, (iv) an unsharpened cylindrical pencil.arrow_forward
- D10) Determine the Irreducible representation of Tetrachloro ethene (Point group: D2h)arrow_forwardConstruct the matrices for all symmetry elements in the point group C2h. Choose any pair of these symmetry elements and show that their product generates another member of the group.arrow_forward1. Find the point groups of the following shapes, interpreting (a) as a square and (b)-(p) as derivatives with lines perpendiarrow_forward
- 3arrow_forwardUsing its x, y, and z coordinates, construct the 15 x 15 matrix that describes the application of the S4 symmetry operation to square planar [PtCl 4]2- What is the character of this matrix?arrow_forwardGive an example, with justification, of a non-trivial irreducible representation of D4.arrow_forward
- A set of basis functions is found to span a reducible representation of the group Oh with characters 6,0,0,2,2,0,0,0,4,2 (in the order of operations in the character table in the Resource section). What irreducible representations does it span?arrow_forward6. Show symmetry elements of trans-CHCI=CHCI and determine its point group.arrow_forwardThe CH3Cl molecule belongs to the point group C3v. List the symmetry elements of the group and locate them in a drawing of the molecule.arrow_forward
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