Science
ChemistryPhysical ChemistryPoint 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?

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?

BuyFind

Physical Chemistry

2nd Edition
Ball + 3 others
Publisher: Wadsworth Cengage Learning,
ISBN: 9781133958437
BuyFind

Physical Chemistry

2nd Edition
Ball + 3 others
Publisher: Wadsworth Cengage Learning,
ISBN: 9781133958437

Solutions

Chapter
Section
Problem 13.1E
Problem 13.2E
Problem 13.3E
Problem 13.4E
Problem 13.5E
Problem 13.6E
Problem 13.7E
Problem 13.8E
Problem 13.9E
Problem 13.10E
Problem 13.11E
Problem 13.12E
Problem 13.13E
Problem 13.14E
Problem 13.15E
Problem 13.16E
Problem 13.17E
Problem 13.18E
Problem 13.19E
Problem 13.20E
Problem 13.21E
Problem 13.22E
Problem 13.23E
Problem 13.24E
Problem 13.25E
Problem 13.26E
Problem 13.27E
Problem 13.28E
Problem 13.29E
Problem 13.30E
Problem 13.31E
Problem 13.32E
Problem 13.33E
Problem 13.34E
Problem 13.35E
Problem 13.36E
Problem 13.37E
Problem 13.38E
Problem 13.39E
Problem 13.40E
Problem 13.41E
Problem 13.42E
Problem 13.43E
Problem 13.44E
Problem 13.45E
Problem 13.46E
Problem 13.47E
Problem 13.48E
Problem 13.49E
Problem 13.50E
Problem 13.51E
Problem 13.52E
Problem 13.53E
Problem 13.54E
Problem 13.55E
Problem 13.56E
Problem 13.57E
Problem 13.58E
Problem 13.59E
Problem 13.60E
Problem 13.61E
Problem 13.62E
Problem 13.63E
Problem 13.64E
Problem 13.65E
Problem 13.66E
Problem 13.67E
Problem 13.68E
Problem 13.69E
Problem 13.70E
Problem 13.71E
Problem 13.72E
Problem 13.73E
Problem 13.74E
Problem 13.75E
Problem 13.76E
Problem 13.77E
Problem 13.78E
Problem 13.79E
Problem 13.80E
Problem 13.81E
Problem 13.82E
Problem 13.83E
Problem 13.84E
Problem 13.85E
Problem 13.87E
Problem 13.88E
Problem 13.89E
Chapter 13, Problem 13.25E
Textbook Problem

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?

Expert Solution

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Chapter 13,
Problem 13.24E
Chapter 13,
Problem 13.26E

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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 - What would your answer to exercise 13.3d be if all...Ch. 13 - Identify the point groups of the objects in the...Ch. 13 - Show that S1= and S2=i.Ch. 13 - Without referring to Appendix 3, determine whether...Ch. 13 - A molecule that has a C6 axis automatically has...Ch. 13 - Any axis of symmetry Cn that rotates an object by...Ch. 13 - Use equation 13.18 in the above exercise to deduce...
Ch. 13 - In the answer to exercise 13.10, part a, what does...Ch. 13 - List the mathematical properties of a group.Ch. 13 - Use equation 13.18 to construct the matrix...Ch. 13 - What are the number of classes and the order of...Ch. 13 - What are the number of classes and the order of...Ch. 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 - What symmetry operations are the inverse of the...Ch. 13 - What symmetry operations are the inverse of the...Ch. 13 - Group theory requires that symmetry operations...Ch. 13 - Figure 13.27 shows the structure of the molecule...Ch. 13 - In Example 13.3e, we are assuming that resonance...Ch. 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 - Chlorination of methane yields CH3Cl,CH2Cl2,CHCl3...Ch. 13 - Identify the point group of the wave functions of...Ch. 13 - Identify the point group of the wave functions of...Ch. 13 - a What would be the formulas of possible molecules...Ch. 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 - Determine if the following species have permanent...Ch. 13 - Explain why a molecule with a center of inversion...Ch. 13 - a Unlike methane, bromochlorofluoromethane...Ch. 13 - Write out explicitly the 1212 matrices that...Ch. 13 - For NH3, write out explicitly the three 1212...Ch. 13 - Show that the irreducible representations of the...Ch. 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 - Using the character tables in Appendix 3, can you...Ch. 13 - Show by using an example that the sum of the...Ch. 13 - Why is it unnecessary to consider whether an...Ch. 13 - Explain why the characters for the proper and...Ch. 13 - Use the expressions in Rh(3) to determine the...Ch. 13 - a What are the symmetry elements present in a plot...Ch. 13 - What are the symmetry elements present in a plot...Ch. 13 - What point groups must the wavefunctions of all...Ch. 13 - The bonds in the ethylene molecule can be...Ch. 13 - Consider the bonds in ethylene shown in the...Ch. 13 - Reduce the following reducible representations...Ch. 13 - Determine the resulting representations for the...Ch. 13 - Determine the resulting representations for the...Ch. 13 - Without using the great orthogonality theorem,...Ch. 13 - Assume that you are evaluating the integral of...Ch. 13 - Assume that you are evaluating the integral of...Ch. 13 - Assume that x- polarized light can be assigned an...Ch. 13 - Show that ss transitions are not allowed in the...Ch. 13 - The ground electronic state of ozone, O3, a C2v...Ch. 13 - The five d orbitals in transition metals can be...Ch. 13 - Determine the symmetry labels of the H-like p...Ch. 13 - Determine the symmetry labels of the H-like f...Ch. 13 - Construct the symmetry-adapted linear combination...Ch. 13 - Referring to exercise 13.71: How would the...Ch. 13 - In Example 13.13, several of the molecular...Ch. 13 - Should the molecular orbitals for H2O found in...Ch. 13 - How many SALCs can be constructed for CH4 using...Ch. 13 - Construct a list comparing and contrasting VB...Ch. 13 - Why might one not be surprised to find that the...Ch. 13 - Suppose you use p0,p1 and p+1 along with s...Ch. 13 - Show that the individual sp orbitals, as written...Ch. 13 - Show that the individual sp3 orbitals, as written...Ch. 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 - Determine the Oh symmetry species of the sp3d2...Ch. 13 - In propene CH3CH=CH2, the first carbon has sp3...Ch. 13 - Justify the fact that the nitrogen atom in ammonia...Ch. 13 - What symmetry species is assigned to the lone p...Ch. 13 - Construct 90 probability surface diagrams for sp,...

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