Reduce the following reducible representation to irreducible representations:Oh E 8C3 6C₂ 6C4 3C₂ i 6S4 8S6 30h 60aT6 002200042Hint:OhA18A28EgTigT28AIRAzuEuTIMTzuE11233112338C3 6C₂ 6C41111-1Number of irreduciblerepresentations ofa given type0011-100-101T0-11-10-1T0-1order3C₂(=C4²)11212-1-1i11233-1انه نیک نیک-2-3-3numberof operations Xin the class654 856111-1-101-1-110-1100L7-1100character ofreduciblerepresentation30h112TT-21160 d1-10-11-1101-1character ofirreduciblerepresentation(R, Ry, R.)(x, y, z)x² + y² +z²(2z²x²-1², x² - y²)(xy, xz, yz)

Answered: Image /qna-images/answer/98424d95-270e-4d49-a1e4-7a8cb220bef9.jpg

Reduce the following reducible representation to irreducible representations: Oh E 8C3 6C₂ 6C4 3C₁₂ i 6S4 8S6 8S6 30h 30h 60d T600 2 0004 2 Hint: Oh A18 A28 Eg Tig T28 AI Azu Eu TIM T₂M E 1 1 2 3 3 1 1 2 3 3 8C3 1 Number of irreducible representations of a given type -1 0 0 1 1 1 -1 0 0 0 6C₂ 6C₁ 1 1 1 1 0 -1 1 -1 0 0 1 -1 3C₂(=C₁³) 1 1 2 1 2 order -1 i 1 1 2 3 3 -1 200 number character of of operations X reducible in the class 654 1 -1 0 1 -1 -1 1 0 1 856 1 1 -1 0 0 -1 1 0 0 representation 30 1 1 2 -1 -1 -1 -1 -2 1 1 60₁ 1 -1 0 -1 1 -1 1 0 1 -1 X character of irreducible representation (R₂, Ry, R.) (x, y, z) x² + y² +2² (2z²x² - y2²₁x² - y²) (xy, xz, yz)

Reduce the following reducible representation to irreducible representations: Oh E 8C3 6C₂ 6C4 3C₁₂ i 6S4 8S6 8S6 30h 30h 60d T600 2 0004 2 Hint: Oh A18 A28 Eg Tig T28 AI Azu Eu TIM T₂M E 1 1 2 3 3 1 1 2 3 3 8C3 1 Number of irreducible representations of a given type -1 0 0 1 1 1 -1 0 0 0 6C₂ 6C₁ 1 1 1 1 0 -1 1 -1 0 0 1 -1 3C₂(=C₁³) 1 1 2 1 2 order -1 i 1 1 2 3 3 -1 200 number character of of operations X reducible in the class 654 1 -1 0 1 -1 -1 1 0 1 856 1 1 -1 0 0 -1 1 0 0 representation 30 1 1 2 -1 -1 -1 -1 -2 1 1 60₁ 1 -1 0 -1 1 -1 1 0 1 -1 X character of irreducible representation (R₂, Ry, R.) (x, y, z) x² + y² +2² (2z²x² - y2²₁x² - y²) (xy, xz, yz)

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Similar questions

1. (7 points) Symmetry is an important topic in chemistry because the symmetry of a molecule may affect its physical and chemical properties. One important task is to identify the point group of a given molecule. Please complete the following tasks for each molecule. Molecule Any LC₂ ? Any oh? Any ov? Point Highest symmetry rotation Group CI H H P H H H H H + CI cl H H 2- H H Br Br H H CI OC MICO OC CO CO
Use the following character table for tetrahedral point group (To) to answer the following questions: Ta E 8C3 30 6S4 60d Ai +1 +1 +1 +1 +1 x²+y²+z² Az +1 +1 +1 -1 -1 E +2 -1 +2 0 0 (2x²-x²-y², x²-y²) T₁ +3 0 -1 +1 -1 (Rx, Ry, Rz) T₂ +3 0 -1 -1 +1 (x, y, z) (xy, xz, yz) (a) determine the orbitals symmetries of the central metal atom for tetrahedral metal complexes (ML4). (b) draw symmetry labelled molecular orbital (MO) diagram for ML4. Given that the ligand group orbitals (LGOs) symmetries are ai and tz. (c) clearly depict bonding, σ(a) and antibonding, o*(a1) MOs. + (d) use the above (part a) MO diagram to show the electron filling for tetrahedral [Ni(CO)4].
A molecule has a C3 rotation axis as its principal axis and a σ reflection plane perpendicular to it. In addition, it has other symmetry elements, but which of the following elements is impossible for it to have? S3 axis C₂ axis OOO ¡ (inversion center) o plane
D3h Г E 6 Reduce the following representation into its irreducible components 2C3 2S3 30v 3 1 4 3C₂ Oh 2 4
O= C = C = C= 0 point group = CzV C, S(xy) S(yz) A1 B2 What are the atoms unmoved for Carbon suboxide
(a) The trace of an n x n matrix A is defined as tr[A] = E;=1 Ai that is, summing over all the diagonal elements of Ä. Prove: tr[ÂB] = tr[BÂ] (b) Based on this, prove the “cyclic" relation of the trace. That is tr[ÂÊĈD] = tr[DÂBĈ| = tr[ĈDÂB]
WS-1.24: Draw the orbital correlation diagram for benzene ∞ {JLJ 888 RI 88 X
Find the reducible representation for all motions of N₂O4. y 1=== xyz -N character of transformation matrix # atoms unshifted 0=- E C2 (z) C2 (y) C₂ (x) typ typ typ type typ typ Z typ typ typ typ type i 3 tyl tyl X a (xy) a (xz) 0 (yz) typ typ type tyl typ typ typ typ typ typ typ
Which of the following 3 point molecules has the greatest hyperconjugation effect? C een A Br B Br Br Br
Determine/approximate the λmax