Inorganic Chemistry
5th Edition
ISBN: 9781292134147
Author: Housecroft, Catherine E.
Publisher: Pearson,
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Textbook Question
Chapter 3, Problem 20P
(a) Deduce the point group of
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(c) Using POC13 as an example, develop the
reducible representation of its point
group.
(i) What is the basis of C versus D point group classification?
(a) Given the operator = -0 C₁¹ show that [‚Â] = 0
=0
(b) Decompose the representation below into the irreducible representations of C3v.
C3v
T
E
17/0
2C3
1
30₂
1
]
]
(c) With the use of diagrams, find the representation of the C₂ point group to which a day orbital
belongs.
]
Chapter 3 Solutions
Inorganic Chemistry
Ch. 3 - 3.1 Give the structures of the following...Ch. 3 - 3.2 In the group theory, what is meant by the...Ch. 3 - For each of the following 2-dimensional shapes,...Ch. 3 - Draw the structure of SO2 and identify its...Ch. 3 - 3.5 The structure of was shown in Fig. 2.1. Apart...Ch. 3 - By drawing appropriate diagrams, illustrate the...Ch. 3 - Using the answer to problem 3.6 to help you,...Ch. 3 - 3.8 Which of the following species or ions contain...Ch. 3 - Which of the following species contain C4 axis and...Ch. 3 - 3.10 How many mirror planes each do each of the...
Ch. 3 - (a) What structure would you expect Si2H6 to...Ch. 3 - Prob. 12PCh. 3 - Explain what is meant by an -fold axis of...Ch. 3 - 3.14 To which point group to does belong?
Ch. 3 - 3.15 The point group of is . What shape is this...Ch. 3 - 3.16 Determine the point group of .
Ch. 3 - 3.17 The point group of is . Draw the structure...Ch. 3 - 3.18 In worked example 2.7, the structure of the ...Ch. 3 - 3.19 Assign a point group to each member in the...Ch. 3 - (a) Deduce the point group of SF4. (b) Is SOF4 in...Ch. 3 - 3.21 Which of the point groups possess the highest...Ch. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - 3.25 By considering the effect of each symmetry...Ch. 3 - To what point group does CBr4 belong? Using the...Ch. 3 - Prob. 27PCh. 3 - Al2Cl6 belongs to the D2h point group: How many...Ch. 3 - Prob. 29PCh. 3 - Determine how many CO stretching modes are...Ch. 3 - 3.31 In 1993, the ion was reported for the first...Ch. 3 - Prob. 32PCh. 3 - (a) To which point group does a trigonal...Ch. 3 - Prob. 34PCh. 3 - Confirm the symmetry operations of (a) inversion...Ch. 3 - Prob. 42PCh. 3 - Prob. 43P
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- Neopentane, 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_forwardWhat is the main difference between space group and point group symmetries? Which one do we prefer in explaining the physical properties?arrow_forwardWhat is the point group of the molecule SOF4 (S is the central atom)?arrow_forward
- P10C.8 Consider the molecule F2C=CF2 (point group D2h), and take it as lying in the xy-plane, with x directed along the C–C bond. (a) Consider a basis formed from the four 2pz orbitals from the fluorine atoms: show that the basis spans B1u, B2g, B3g, and Au. (b) By applying the projection formula to one of the 2pz orbitals, generate the SALCs with the indicated symmetries. (c) Repeat the process for a basis formed from four 2px orbitals (the symmetry species will be different from those for 2pz).arrow_forward5. (a) Deduce the point group of the follo species : OH (i) HO HO, (ü) Co4(Cp)4 (iüi) PF3CI2 (one Cl axial and one Cl equatorial)arrow_forwardQUESTION 2 (i) What is the basis of C versus D point group classification? (ii) Draw a pz and a d orbital and assign their point groups.arrow_forward
- N2 and CN' are both isoelectronic. (i) Draw the molecular orbital diagram for N2 and CN molecules. (ii) Explain why CN is a toxic substance but N2 isn't. (iii) N2(g) is an inert gas that is suitable for a wide range of application. Would you expect N2" to be a stable diatomic species in the gaseous state? Explain your answer.arrow_forwardFor the point group D3h, confirm that the irreducible representation E′ is orthogonal (in the sense defined by eqn 10B.7) to the irreducible representations A′1, A′2 , and E″.arrow_forwardMany of the colours of vegetation are due to electronic transit ions in conjugated π-electron systems. In the freeelectron molecular orbital (FEMO) theory. the electrons in a conjugated molecule are treated as independent particles in a box of length L. (a) Sketch the form of the two occupied orbitals in butadiene predicted by this model and predict the minimum excitation energy of the molecule. (b) In many cases. an extra half bond-length is often added at each end of the box. The tetraene CH2=CHCH=CHCH=CHCH=CH2 can therefore be t reated as a box of length 8R. where R = 140 pm. Ca lcu late the minimum excitation energy of the molecule and sketch the HOMO and LUMO.arrow_forward
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