Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 15, Problem 15.2E
Linearly polarized light can be assigned a specific irreducible representation of a symmetry point group. If the electronic ground state of methane has
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The chlorophylls that participate in photosynthesis and the haem (heme) groups of cytochromes are derived from the porphine dianion group (8), which belongs to the D4h point group. The ground electronic state is A1g and the lowest-lying excited state is Eu. Is a photon-induced transition allowed from the ground state to the excited state? Explain your answer.
a )Find the representation of the C2v point group to which a px orbital belongs.
b)The four symmetry-adapted linear combinations (SALCs) built from the Cl 3s orbitals in the square planar (D4h) [PtCl4]2– anion have symmetry A1g, B1g, and Eu. List all expected Pt – SALC orbital combinations.
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Identify the irreducible representations to which all five d orbitals of the central Xe atom in XeF4 (D4h) belong. Give reasons to support your answer
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Chapter 15 Solutions
Physical Chemistry
Ch. 15 - Linearly polarized light can be assigned a...Ch. 15 - Linearly polarized light can be assigned a...Ch. 15 - Prob. 15.3ECh. 15 - Determine the value of R for deuterium (2H) and...Ch. 15 - Prob. 15.5ECh. 15 - Draw a Grotrian-type diagram for the first four...Ch. 15 - What is the value of the change in energy, E, for...Ch. 15 - Prob. 15.8ECh. 15 - List the possible values of L, ML, S, MS, J, and...Ch. 15 - Prob. 15.10E
Ch. 15 - Prob. 15.11ECh. 15 - Prob. 15.12ECh. 15 - Prob. 15.13ECh. 15 - What is the term symbol for the ground state of a...Ch. 15 - Prob. 15.15ECh. 15 - Prob. 15.16ECh. 15 - Prob. 15.17ECh. 15 - Prob. 15.18ECh. 15 - Prob. 15.19ECh. 15 - Prob. 15.20ECh. 15 - Prob. 15.21ECh. 15 - Prob. 15.22ECh. 15 - Use Hunds rules to predict the term symbol of the...Ch. 15 - Prob. 15.24ECh. 15 - Prob. 15.25ECh. 15 - An Mg atom is in the excited electron...Ch. 15 - Prob. 15.27ECh. 15 - Prob. 15.28ECh. 15 - Prob. 15.29ECh. 15 - Prob. 15.30ECh. 15 - Use group-theoretical arguments to determine the...Ch. 15 - The GeF molecule, which exists in the gas phase at...Ch. 15 - The SrH molecule in a 2+ electronic ground state....Ch. 15 - Prob. 15.34ECh. 15 - What are the values of and for NF in its 3...Ch. 15 - Prob. 15.36ECh. 15 - Determine the ground-state term symbol of the...Ch. 15 - Prob. 15.38ECh. 15 - Prob. 15.39ECh. 15 - Prob. 15.40ECh. 15 - Prob. 15.41ECh. 15 - Prob. 15.42ECh. 15 - The 1, 1'-diethyl-2, 2'-dicarbocyanine cation has...Ch. 15 - Prob. 15.44ECh. 15 - Naphthacene, C18H12, consists of four benzene...Ch. 15 - Prob. 15.46ECh. 15 - Prob. 15.47ECh. 15 - Construct the Hckel determinants for...Ch. 15 - Prob. 15.49ECh. 15 - Using the Internet, find a Hckel determinant...Ch. 15 - Prob. 15.51ECh. 15 - Explain why cyclopentadiene easily accepts an...Ch. 15 - Prob. 15.53ECh. 15 - Prob. 15.54ECh. 15 - Prob. 15.55ECh. 15 - Prob. 15.56ECh. 15 - Prob. 15.57ECh. 15 - Prob. 15.58ECh. 15 - Would the light from fireflies be considered an...Ch. 15 - Prob. 15.60ECh. 15 - Prob. 15.61ECh. 15 - Prob. 15.62ECh. 15 - How many 632.8-nm photons must a He-Ne laser emit...Ch. 15 - Prob. 15.64ECh. 15 - Green He-Ne lasers are also available; they emit...Ch. 15 - Blu-ray disks and high-density DVDs use an indium...Ch. 15 - Prob. 15.67ECh. 15 - Explain why X-ray lasers would be extremely...Ch. 15 - Prob. 15.69E
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- 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_forwardIdentify the symmetry elements present in the following objects. a The Eiffel Tower. You may have to look up a picture of it if you dont remember its shape b Any book ignore the printing. c An octagonal wood block. d A jack from the set of jacks pictured here: Note that some of the points end differently.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
- List all the symmetry elements of a Cr(CO)6 molecule and identify the symmetry point group to which it belongs.arrow_forward4h The chlorophylls that participate in photosynthesis and the haem groups of cytochromes are derived from the porphine dianine group (1), which belongs to the D point group. The ground electronic state is A and the lowest-lying excited state is E. Is a photon-induced transition allowed from the ground state to the excited state? Explain your answer. u : NH (1) HN:arrow_forwardDraw the shape of the [XeF5]- ion and answer the questions below: (i) List the symmetry elements and the symmetry operations of the [XeF5]- ion. (ii) What is the point group of the [XeF5]- ion? What is the order of the point group of the [XeF5]- ion? (iii) Using the [XeF5]- as an example, show that Cnn ≡ E.arrow_forward
- 6- What is the difference between the symmetry operators and point groups of NF3 and NF2CIarrow_forwardThe ClO2 molecule (which belongs to the group C2v) was trapped in a solid. Its ground state is known to be B1. Light polarized parallel to the y-axis (parallel to the OO separation) excited the molecule to an upper state. What is the symmetry species of that state?arrow_forwardDraw the shape of the [XeFs] ion and answer the questions below: (i) List the symmetry elements and the symmetry operations of the [XEF5] ion. (ii) What is the point group of the [XeF5] ion? What is the order of the point group of the [XeFs] ion? (iii) Using the [XeF5] as an example, show that C" = E.arrow_forward
- Å L. Y → X 5 3 Consider the trimethylenecyclopropane molecule (point group D3h). Each carbon atom has a pz orbital to contribute to the pi- MOs of the molecule. Take these 6 pz orbitais as a basis set and answer the following questions: A) How do they divide into subsets of symmetry - equivalent orbitals? B) What representations are spanned by each subset? C) What are the 6 normalizedarrow_forwardB) Identify all the elements of symmetry of IrCl(CO) [P(C6H5)3]2 and the point group assignment. PPH3 B CI- C=O Ph3Parrow_forwardNeopentane, C(CH3)4, has Tď symmetry, with character table provided below. Suppose the characters of a reducible representation of this point group are x(E) = 17, x(C3) = 2, x(C₂) = 5, x(S4) = -3, and x(od) = -5 (this is shown explicitly in the last row of the character table). (a) Use the T₁ irreducible representation to determine the order of the point group using the Little Orthogonality Theorem (Vallance Eq. 1.15.13, see Problem 3). (b) Determine how many times each irreducible representation in Ta is contained in this reducible representation. Td A₁ A₂ E Τ1 T₂ r E 1 1 2 3 3 17 8C3 1 1 -1 1 0 0 2 3C₂ 1 1 2 -1 6S4 1 -1 1 101 1.5 7 0 1 713 7. 1.5 -1 -1 60d -3 -1 -1 -5arrow_forward
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