Linearly polarized light can be assigned a specific irreducible representation of a symmetry point group. If the electronic ground state of benzene has
Interpretation:
The symmetry label(s) of allowed excited electronic states for the electronic ground state of benzene as
Concept introduction:
The electronic transitions should have a nonzero transition moment, given by the expression shown below.
Answer to Problem 15.1E
The symmetry label of allowed excited state for the
Explanation of Solution
The electronic ground state of benzene has
The character table for point group
The representations of
The representations of
The symmetry label of allowed excited state for the
Want to see more full solutions like this?
Chapter 15 Solutions
Physical Chemistry
- 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_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_forward6- What is the difference between the symmetry operators and point groups of NF3 and NF2CIarrow_forward
- Consider the molecule CH3Cl. (a) To what point group does the molecule belong? (b) How many normal modes of vibration does the molecule have? (c) What are the symmetry species of the normal modes of vibration of this molecule? (d) Which of the vibrational modes of this molecule are infrared active? (e) Which of the vibrational modes of this molecule are Raman active?arrow_forwardIdentify the irreducible representations to which all five d orbitals of the central Xe atom in XeF4 (D4h) belong. Give reasons to support your answer ( please answer in detail )arrow_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_forward
- Draw 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_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_forwardA symmetry group of order h = 8 is known to have five (5) classes. Three of its irreducible representations have a dimensionality of 1. Based on this, what are the dimensions of its remaining irreducible representation(s)? 1, 1, 1 1, 2 1, 1, 1, 1, 1 2,2 1, 2, 2 OOOarrow_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_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_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_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,