Inorganic Chemistry
5th Edition
ISBN: 9781292134147
Author: Housecroft, Catherine E.
Publisher: Pearson,
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Textbook Question
Chapter 3, Problem 18P
In worked example 2.7, the structure of the
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Build MOs of Co(CO)4C12 for only sigma bonds with D4h isomer.
Then, find one mode of vibration that is IR active.
CS Scanned with CamScanner
13+
M-D
-A
y
A
b) Given the following symmetry related linear combinations (SALC's) of the 2p-orbitals
on the Cl atoms illustrated below, determine their characters to the symmetry
operations of D2h and their overall symmetry. Use extra pages as necessary.
y
FB Pd FA-
B
For the upper left SALC:
D₂h
UpLft |
E
M
X
E
B
For the upper right SALC:
D2h-
UpRt I
B
C₂(z) C₂(y) C₂(x) i
1 41
RNITINE
FB-Pd-FAX
C₂(z) C₂(y) C₂(x) i
-1 1 -1 41
TER
(z-axis is also directed toward you)
B
o(xy) o(xz) o(yz)
A
o(xy) o(xz) (yz)
Determine the number (and relative intensity) of IR-active C–O stretching vibrations for fac-[Mo(CO)3(NCMe)3]:
Proceed as follows...
Determine the point group of the molecule. Do not descend in symmetry.
Construct a reducible representation for the CO vibrations (ΓCO) -- [please explain how to determine the number of unshifted atoms]
Decompose ΓCO into its irreducible representation ΓCO,i.r.
Determine which are IR active (number of IR active modes)
Double degenerate modes (i.r. with E symmetry) are ≈ twice as intense as other modes, and
triply degenerate modes (i.r. with T symmetry) are ≈ three times as intense.
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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- Using appropriate diagram(s), show which of the symmetry operation(s) does the [SO4]2- ion have: (i) C4 (ii) σh (iii) S4.arrow_forward(b) Ni(CO) 3 (PMe3) has C3, symmetry. Using the information provided below determine how many v(CO) bands would you expect to observe in its infra-red (IR) and Raman spectra respectively? C3v E 2 C3(z) 30v A₁ 1 1 1 z x²+y² z² A₂ 1 1 -1 E 2 -1 0 (x,y) (x²-y²,xy), (xz,yz)arrow_forward1. Draw sketches to identify the following symmetry elements: (a) a C3 axis and a o, plane in the NH3 molecule (b) a C4 axis and a on plane in the square-planar [PtCl4]²-arrow_forward
- For a C3y molecule, the reducible representation is 5E + -1(2C3) + -1(ov). Determine the irreducible representation. Please explain and show the steps. Thank you! ;) +arrow_forward(b) Using appropriate diagram(s), show which of the symmetry operation(s) does the [SO-]²" ion have: (i) C4 (ii) ơh (iii) S4.arrow_forwarda) Draw the open structure of BH2CL. (At. No of B: 5) b) Predict the symmetry species of IR absorption bands. c) Draw a descriptive MO energy diagram and assign the HOMO & LUMOarrow_forward
- Consider the three following molecules and answer the questions below.HC≡CHH2C=CH2H3C-CH3 (3 conformers with different symmetry)(a) For each molecule, including all conformers as indicated, draw the molecule, assign it toits point group, and draw on the diagram the symmetry elements that were used to makethe assignment. State in each case whether or not the species is dipolar and/or chiral.(b) If one hydrogen atom in each molecule is substituted by a chlorine atom, sketch the newmolecules and assign them to their point group. For this set of mono-chloro compounds: state the most common point group state how many are chiral state how many are dipolar state which molecule/conformer has the highest symmetry point group state which molecule/conformer has the lowest symmetry point group identify which of these molecules/conformers have three different H atomenvironments(c) For the dichlorinated versions of the molecules/conformers considered in part (a): state the most common point…arrow_forwardWhat is the symmetry of an F free-ion term placed in D4h point symmetry? O 2E + T2 O A2+ B1 + B2 + E A2+ B1 + B2 + 2E O A1+ 2A2 + 2Earrow_forwardReduce the following reducible representation:C3v E 2C3 3σv 6 0 -2arrow_forward
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