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 4.10P
Determine the point groups for the examples of symmetry in Figure 4.1.
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3. Determine the point group for the following molecules or objects. Draw the
molecule or object and show all symmetry elements explicitly.
• a wine glass
• cis-platin (cis-[PtCl2(NH3)4] (draw but ignore the H atoms in the
symmetry operations)
BFCIBR
• Fe2(CO), (see figure)
• a tennis ball (neglect imperfections in the
covering and the label, concentrate on the
design of the seam.)
OC,
Fe CO
OC Fé
OC
CO
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Generative Painting by Miguel Ángel
Vidal; Buenos Aires Museo Moderno
1.
elements present and show them on the molecules (except for E).
Assign a point group to cach of the following molecules as drawn. List all symmetry
(a)
(b)
(c)
Naphthalene, C₁0H8 (shown at right) can be simplified by
constructing SALC-AOs to serve as a basis. If we set the
molecular plane to be the xy-plane, then the л-system is built
from the 2pz orbitals on each carbon.
Naphthalene is in the D2h point group and a table is provided
at the end of the problem set showing all the symmetry
operations on the 2pz orbitals.
D2h
Ag
B1g
B2g
B3g
Au
(a) Upon examining the symmetry transformations of the ten 2pz orbitals in naphthalene,
one would find that they are the basis for the reducible representation given by
Ê Ĉ₂(z) Ĉ₂(y) Ĉ₂(x)
î ô(xy) ô(xz) ô(yz)
-2
0
0 -10
0
2
Fred (2pz) = 10 0
Reduce this representation into its irreducible representations using the D2h character
table provided here.
В 14
B2u
B3u
E
1
1
1
1
1
1
1
C2(z) C2(y) C₂(x) i
1
1
1
1
1
-1
-1
-1
1
-1
-1
-1
1
1
1
-1
-1
1
-1 -1
1
−1
-1
1
1
1
-1
-1
-1
-1
17 77 1
o(xy) o(xz) o(yz)
1
1
1
-1
-1
-1
-1
1
1
-1
11 14 11
-1
-1
-1
1 YA 8
-1
10
4 5
-1
6
X
(b) Using these techniques, one can construct…
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Similar questions
- a In the Td point group, an S41 improper rotation is equivalent to what other improper rotation? b In the D6h point group, the symmetry operation labeled C21 is equivalent to what other symmetry operation?arrow_forwarda Unlike methane, bromochlorofluoromethane (CHBrClF) is chiral. Determine all symmetry elements that are present in CHBrClF and identify its point group. b If the fluorine in this molecule were substituted with a hydrogen atom, what is the point group for the new molecule? Is it chiral?arrow_forwardConstruct the symmetry-adapted linear combination molecular orbitals for hydrogen sulfide, H2S.arrow_forward
- In your own words, explain why an object that has more symmetry elements is said to have higher symmetry than an object with fewer symmetry elements.arrow_forwardWithout using the great orthogonality theorem, reduce the given irreducible representation in C2v symmetry. Does your answer make sense? EC25555arrow_forwardLinearly polarized light can be assigned a specific irreducible representation of a symmetry point group. If the electronic ground state of methane has A1g symmetry and x- polarized light has the label T2, what are the symmetry labels of allowed excited electronic states? Use the Td character table in Appendix 3.arrow_forward
- Explain why this proposed irreducible representation for C2v is impossible. EC2A?1100arrow_forwardPoint 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_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
- Determine the point group of the following molecules. a cis1,2 Dichloroethylene b trans1,2 Dichloroethylene c Toluene, C6H5CH3 d 1,3-Cyclohexadiene.arrow_forwardDetermine the point groups of the following molecules. a Hydrogen selenide, H2Se b Partially deuterated hydrogen sulfide, or HDS c The chair conformer of cyclohexane, C6H12 d The boat conformer of cyclohexane, C6H12arrow_forwardDetermine the symmetry species of the D3h point group for the sp2 hybrid orbitals, assuming that the C3 axis is coincident with the z-axis and that one of the orbitals lies along the positive x-axis. See Example 13.16.arrow_forward
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