Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 13, Problem 13.62E
Without using the great orthogonality theorem, reduce the given irreducible representation in
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
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 normalized
Im confused with this
C3
C
P
C32
Point Group:
σh
S3
A 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
OOO
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 - Prob. 13.4ECh. 13 - Prob. 13.5ECh. 13 - Prob. 13.6ECh. 13 - Prob. 13.7ECh. 13 - Prob. 13.8ECh. 13 - Any axis of symmetry Cn that rotates an object by...Ch. 13 - Prob. 13.10E
Ch. 13 - Prob. 13.11ECh. 13 - Prob. 13.12ECh. 13 - Prob. 13.13ECh. 13 - What are the number of classes and the order of...Ch. 13 - Prob. 13.15ECh. 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 - Prob. 13.19ECh. 13 - Prob. 13.20ECh. 13 - Prob. 13.21ECh. 13 - Figure 13.27 shows the structure of the molecule...Ch. 13 - Prob. 13.23ECh. 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 - Prob. 13.32ECh. 13 - Identify the point group of the wave functions of...Ch. 13 - Identify the point group of the wave functions of...Ch. 13 - Prob. 13.35ECh. 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 - Prob. 13.39ECh. 13 - Explain why a molecule with a center of inversion...Ch. 13 - a Unlike methane, bromochlorofluoromethane...Ch. 13 - Prob. 13.42ECh. 13 - Prob. 13.43ECh. 13 - Prob. 13.44ECh. 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 - Prob. 13.49ECh. 13 - Prob. 13.50ECh. 13 - Why is it unnecessary to consider whether an...Ch. 13 - Prob. 13.52ECh. 13 - Prob. 13.53ECh. 13 - Prob. 13.54ECh. 13 - Prob. 13.55ECh. 13 - Prob. 13.56ECh. 13 - Prob. 13.57ECh. 13 - Prob. 13.58ECh. 13 - Reduce the following reducible representations...Ch. 13 - Determine the resulting representations for the...Ch. 13 - Prob. 13.61ECh. 13 - Without using the great orthogonality theorem,...Ch. 13 - Assume that you are evaluating the integral of...Ch. 13 - Prob. 13.64ECh. 13 - Assume that x- polarized light can be assigned an...Ch. 13 - Prob. 13.66ECh. 13 - Prob. 13.67ECh. 13 - Prob. 13.68ECh. 13 - Prob. 13.69ECh. 13 - Prob. 13.70ECh. 13 - Construct the symmetry-adapted linear combination...Ch. 13 - Prob. 13.72ECh. 13 - Prob. 13.73ECh. 13 - Prob. 13.74ECh. 13 - Prob. 13.75ECh. 13 - Prob. 13.76ECh. 13 - Prob. 13.77ECh. 13 - Suppose you use p0,p1 and p+1 along with s...Ch. 13 - Show that the individual sp orbitals, as written...Ch. 13 - Prob. 13.80ECh. 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 - Prob. 13.84ECh. 13 - In propene CH3CH=CH2, the first carbon has sp3...Ch. 13 - Prob. 13.87ECh. 13 - Prob. 13.88ECh. 13 - Prob. 13.89E
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Similar questions
- Identify 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_forwardWhy is it unnecessary to consider whether an irreducible representation from C4h is orthogonal to an irreducible representation of D6h?arrow_forward
- Explain why a molecule with a center of inversion cannot have a dipole moment.arrow_forwardConstruct the Hckel determinants for cyclobutadiene and cyclopentadiene. In what ways are they alike? In what ways are they different?arrow_forwardWhat is the reducible representation for N205? Determine the reducible representation (T) that describes all the degrees of freedom .arrow_forward
- H H Of the 5, E, C, o, i, and what are the symmetry operations are possible for square planar [PtCl4]²? 2- CI CIarrow_forward- Determine the irreducible representations with reasons in the following character table. C I R R, R xy.arrow_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
- D3h Г E 6 Reduce the following representation into its irreducible components 2C3 2S3 30v 3 1 4 3C₂ Oh 2 4arrow_forward3arrow_forwardThe molecule of interest PtCl4^2-. Find the irreducible representation(s) of the pz orbitals, using the pz orbitals of Cl. Also, use the projection operator method and show what one irreducible representation looks like. What orbitals if any match up with the orbital on Pt (from a pure symmetry approach)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,
Organic Chemistry: A Guided InquiryChemistryISBN:9780618974122Author:Andrei StraumanisPublisher:Cengage Learning
Physical Chemistry
Chemistry
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Wadsworth Cengage Learning,
Organic Chemistry: A Guided Inquiry
Chemistry
ISBN:9780618974122
Author:Andrei Straumanis
Publisher:Cengage Learning
Gerade and Ungerade Molecular Orbitals. (SYMMETRY OF MOLECULAR ORBITALS); Author: Edmerls;https://www.youtube.com/watch?v=dPY-lT5LN60;License: Standard YouTube License, CC-BY
Symmetry and chemical bonding part – 5 Molecular orbital formation (CHE); Author: Vidya-mitra;https://www.youtube.com/watch?v=g-42GmpBu0I;License: Standard Youtube License