Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Textbook Question
Chapter 13, Problem 13.40E
Explain why a molecule with a center of inversion cannot have a dipole moment.
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Draw the shape of the PF5 molecule and answer the following questions:
Does the molecule have σh mirror plane(s)? If so, how many?
(v) Does the molecule have σv mirror plane(s)? If so, how many?
(vi) Does the molecule have σd mirror plane(s)? If so, how many?
(vii) What is the point group of the PF5 molecule?
(viii) WhatistheorderofthepointgroupofthePF5molecule?
(ix) Using symmetry criteria, predict
if the PF5 molecule is polar or non-polar.
(x) Using symmetry criteria, predict if the PF5 molecule is chiral or non-chiral.
Draw the π-molecular orbitals for benzene, indicate the nodal planes and designate the proper energy corresponding to these orbitals.
Suppose that a molecular orbital has the (unnormalized) form 0.727A + 0.144B. Find a linear combination of the orbitals A and B that is orthogonal to this combination and determine the normalization constants of both combinations using S = 0.117.
Chapter 13 Solutions
Physical Chemistry
Ch. 13 - In your own words, explain why an object that has...Ch. 13 - Identify the symmetry elements present in the...Ch. 13 - Identify the symmetry elements present in the...Ch. 13 - Prob. 13.4ECh. 13 - Prob. 13.5ECh. 13 - Prob. 13.6ECh. 13 - Prob. 13.7ECh. 13 - Prob. 13.8ECh. 13 - Any axis of symmetry Cn that rotates an object by...Ch. 13 - Prob. 13.10E
Ch. 13 - Prob. 13.11ECh. 13 - Prob. 13.12ECh. 13 - Prob. 13.13ECh. 13 - What are the number of classes and the order of...Ch. 13 - Prob. 13.15ECh. 13 - a Show that the C3v point group satisfies the...Ch. 13 - a In the Td point group, an S41 improper rotation...Ch. 13 - Determine which single symmetry operation of the...Ch. 13 - Prob. 13.19ECh. 13 - Prob. 13.20ECh. 13 - Prob. 13.21ECh. 13 - Figure 13.27 shows the structure of the molecule...Ch. 13 - Prob. 13.23ECh. 13 - Identify all the symmetry elements present in the...Ch. 13 - Point groups are called such because all of the...Ch. 13 - Determine the point groups of the following...Ch. 13 - Determine the point group of the following...Ch. 13 - Determine the point groups of the following...Ch. 13 - Determine the point groups of the following...Ch. 13 - Structural isomers can have very different point...Ch. 13 - Structural isomers can have very different point...Ch. 13 - Prob. 13.32ECh. 13 - Identify the point group of the wave functions of...Ch. 13 - Identify the point group of the wave functions of...Ch. 13 - Prob. 13.35ECh. 13 - Determine if the following species have permanent...Ch. 13 - Determine if the following species have permanent...Ch. 13 - Which of the following species will not have...Ch. 13 - Prob. 13.39ECh. 13 - Explain why a molecule with a center of inversion...Ch. 13 - a Unlike methane, bromochlorofluoromethane...Ch. 13 - Prob. 13.42ECh. 13 - Prob. 13.43ECh. 13 - Prob. 13.44ECh. 13 - Show that the irreducible representations of the...Ch. 13 - Show that any two of the irreducible...Ch. 13 - Show that any irreducible representation of these...Ch. 13 - Explain why this proposed irreducible...Ch. 13 - Prob. 13.49ECh. 13 - Prob. 13.50ECh. 13 - Why is it unnecessary to consider whether an...Ch. 13 - Prob. 13.52ECh. 13 - Prob. 13.53ECh. 13 - Prob. 13.54ECh. 13 - Prob. 13.55ECh. 13 - Prob. 13.56ECh. 13 - Prob. 13.57ECh. 13 - Prob. 13.58ECh. 13 - Reduce the following reducible representations...Ch. 13 - Determine the resulting representations for the...Ch. 13 - Prob. 13.61ECh. 13 - Without using the great orthogonality theorem,...Ch. 13 - Assume that you are evaluating the integral of...Ch. 13 - Prob. 13.64ECh. 13 - Assume that x- polarized light can be assigned an...Ch. 13 - Prob. 13.66ECh. 13 - Prob. 13.67ECh. 13 - Prob. 13.68ECh. 13 - Prob. 13.69ECh. 13 - Prob. 13.70ECh. 13 - Construct the symmetry-adapted linear combination...Ch. 13 - Prob. 13.72ECh. 13 - Prob. 13.73ECh. 13 - Prob. 13.74ECh. 13 - Prob. 13.75ECh. 13 - Prob. 13.76ECh. 13 - Prob. 13.77ECh. 13 - Suppose you use p0,p1 and p+1 along with s...Ch. 13 - Show that the individual sp orbitals, as written...Ch. 13 - Prob. 13.80ECh. 13 - What is the rough hybridization of the carbon...Ch. 13 - Determine the symmetry species of the D3h point...Ch. 13 - Determine the D3h symmetry species of the sp3d...Ch. 13 - Prob. 13.84ECh. 13 - In propene CH3CH=CH2, the first carbon has sp3...Ch. 13 - Prob. 13.87ECh. 13 - Prob. 13.88ECh. 13 - Prob. 13.89E
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- Determine if the following species have permanent dipole moments. a Dichloromethane, CH2Cl2 b Chlorobenzene, C6H5Cl c Ammonia, NH3 d Carbon dioxide, CO2.arrow_forwardWrite a molecule with least 4 atoms that has an inversion center.arrow_forwardConsidering a homonuclear diatomic 2 pc molecule, Tt-symmetry indicates that when the molecule is rotated around the internuclear axis, the orbitals undergo a change in phase. * O True O Falsearrow_forward
- 1. What can you conclude about the symmetry of the C3H5+ ion as it actually exists, as regards the bond lengths and the distribution of the positive charge?arrow_forwardC₆H₁₂0₆ have asymmetric carbonal. Predict how many are therearrow_forwardSuppose that a molecular orbital has the (unnormalized) form 0.727A + 0.144B. Find a linear combination of the orbitals A and B that is orthogonal to this combination and determine the normalization constants of both combinations using S = 0.117. Show full and complete procedure, indicating where and how you are using the value of Sarrow_forward
- H-He-H2+ is a linear trinuclear with He occupying the central position and the two hydrogen occupying the terminal positions. Build a reasonable qualitative molecular orbital diagramarrow_forwardIdentify which of the following molecules has a net dipole moment of zeroarrow_forwardProvide a diagram which depicts the relative energies of the pi molecular orbitals of benzene. Show which molecular orbitals are filled in benzene's ground state.arrow_forward
- Which of the following molecules belongs to the same point group as H2S? CH3CH3 NH2F 1,4-dichlorobenzene CH2CI2arrow_forwardWhich of the following molecules and ions has (a) a center of inversion, (b) an S4 axis: (i) CO2, (ii) C2H2, (iii) BF3, (iv) SO42-? You must explain your answer in each.arrow_forwardDefine the term sigma 1S2 molecular orbitals?arrow_forward
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