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

Related questions

Q: b) Given the following symmetry related linear combinations (SALC's) of the 2p-orbitals on the Cl…

A: If the symmetry gets changed i.e. Lobes gets interchanged, it will be termed as -1 and if not then…

Q: g) In part c, you found the symmetry of some d orbitals on the central Cl atom. Computational and…

A: The concept of hybridization is employed in chemistry to combine orbitals of different energy and…

Q: What are the symmetry elements of C4H8 assuming CH3 is spherical?

A: The objective of the question is to identify the symmetry elements of the molecule C4H8, assuming…

Q: How many sites of diversity are there in this combinatorial library? NH 2 6 4 3 HN NH2

A: Step 1To determine number site of diversity , we would check the positions on which different atoms…

Q: Why are there 8 C3 operations listed together in the Oh character table ?

A: The structure of an octahedral complex is shown as follows:

Q: What is the symmetry of an F free-ion term placed in D4h point symmetry? O 2E + T2 O A2+ B1 + B2 + E…

A: In the given question, we have been asked to find the symmetry of an F free ion term placed in D4h…

Q: Physical chemistry

A: The irreducible representation for C2V is A1+A2+B1+B2The irreducible representation for C3V is…

Q: I I C H C H -C H H C C )-І Н

A: The molecular orbital theory is a theory to describe the structure and properties of different…

Q: Use the following character table for tetrahedral point group (To) to answer the following…

A: The central metal atom in a tetrahedral ML4 complex has five atomic orbitals: one 4s, three 4p, and…

Q: 1. Consider the following periodic tiling: Find a P(6,5) and its associated P(a,b); show all your…

A: The objective of this question os to show the associated value of vector P (a,b). The periodic…

Q: Use the following character table for tetrahedral point group (To) to answer the following…

A: The central metal atom in a tetrahedral complex (ML4) has five atomic orbitals: one 4s, three 4p,…

Q: The complete set of symmetry elements in PCI5 are: Select one: O E, C3, 3C2, ơh, S3 and 30y O E, C3,…

Q: What is the reducible representation for BH4+

A: The given species is BH4+ ion.

Q: Use the following character table for tetrahedral point group (To) to answer the following…

A: The central metal atom in a tetrahedral complex (ML4) has five atomic orbitals: one 4s, three 4p,…

Q: Use the following character table for tetrahedral point group (To) to answer the following…

A: The central metal atom in a tetrahedral ML4 complex has five atomic orbitals: one 4s, three 4p, and…

Q: a )Find the representation of the C2v point group to which a px orbital belongs. b)The four…

A: Cl 3s orbitals in the square planar (D4h) [PtCl4]2– anion have symmetry A1g, B1g, and Eu.

Q: Write the reducible representation for all molecular motions of triangular H3.

Q: What is the order, h, of the D3h point group? D3, (6m2) E 2C, 3C, 25, 30, A 1 1 1 1 1 1 1 1 -1 1 1…

A: Order is sum of cofficients of symmetry elements of a character table.

Q: a) Determine the LCAO representation for in-phase and out-of-phase orbitals of H in H₂O E C₂ O(xz)…

A: The objective of this question is to show the Linear Combination of Atomic Orbitals (LCAO) method is…

Q: (d) Decompose the representation below into the irreducible representations of C3v. Justify your…

A: The motive of the question is to reduce the given reducible representation to a sum of irreducible…

Q: Which of the above sketches correspond to TT (pi) character MOS? Count both T and TT* as s…

A: Given : overlapping of orbitals Top : side ways overlapping forms pi bonds.

Q: Use the following character table for tetrahedral point group (To) to answer the following…

A: In a tetrahedral ML4 complex, the central metal atom has five atomic orbitals: one 4s, three 4p, and…

Q: Choose the correct ground state term symbol of high spin octahedral Ir³+ 3F 4F 5D 0³D 9 6S

Q: Which of the following has the S4 rotation-reflection axis? A. C2H2 B. BF3 C. CH4 D. CO2 E.…

A: The S4 axis of symmetry signifies rotation through a central axis by 90o followed by reflection…

Q: What is the quantum number n of the HOMO orbital for the following dye:

A: HOMO is the highest occupied molecular orbital and LUMO is the lowest unoccupied molecular orbital.…

Q: Consider the following sketches (1-8) representing molecular orbitals (MOS) obtained by combining…

A: Bonds are formed by overlapping of orbital. Sigma bond is usually formed by head on head overlapping…

Q: 2) Consider the character table for ammonia (C3v). E 2C3 (2) 30v linear, rotations quadratic A₁ 1 1…

A: The total number of irreducible representations for a molecule shows the symmetries of vibrations,…

Q: Which configuration represents the most stable configuration of a Cd 2+ ion O [Kr] 5s2 5d10 [Ar] 5s?…

Question

Reduce the following reducible representation to irreducible representations:
Oh E 8C3 6C₂ 6C4 3C₂ i 6S4 8S6 30h 60a
T
6 0
0
2
200
042
Hint:
Oh
A18
A28
Eg
Tig
T28
AIR
Azu
Eu
TIM
Tzu
E
1
1
2
3
3
1
1
2
3
3
8C3 6C₂ 6C4
1
1
1
1
-1
Number of irreducible
representations of
a given type
0
0
1
1
-1
0
0
-1
0
1
T
0
-1
1
-1
0
-1
T
0
-1
order
3C₂(=C4²)
1
1
2
1
2
-1
-1
i
1
1
2
3
3
-1
انه نیک نیک
-2
-3
-3
number
of operations X
in the class
654 856
1
1
1
-1
-1
0
1
-1
-1
1
0
-1
1
0
0
L
7
-1
1
0
0
character of
reducible
representation
30h
1
1
2
TT
-2
1
1
60 d
1
-1
0
-1
1
-1
1
0
1
-1
character of
irreducible
representation
(R, Ry, R.)
(x, y, z)
x² + y² +z²
(2z²x²-1², x² - y²)
(xy, xz, yz)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction

VIEW

Step 2: Calculation

VIEW

Step 3: Calculation

VIEW

Step 4: Irreducible representation

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Applications of MOT and Spectroscopy to Symmetry

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

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
(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]
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