(a) Interpretation: The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted. Concept introduction: The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states. The odd rotational states are calculated by, ( I + 1 ) ( 2 I + 1 ) The even rotational states are calculated by, ( 2 I 2 + I ) Where, • I is the spin of magnitude.

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Answer 1

Question

Chapter 18, Problem 18.31E

Interpretation Introduction

(a)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

Interpretation Introduction

(b)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

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Students have asked these similar questions

The rotationa l energy of a linear or spherical molecule with quantum number J is EJ = hBJ(J + 1 ). For a linear molecule. each rotational level has a degeneracy of (2J + 1 ). For a spherical molecule, the degeneracy is (2J + 1 )2 (a) Calculate the ratio of populations of CO2 molecules with J = 4 and J = 2 at 25 °C, given that the rotational constant of CO2 is B = 11.70 GHz. (b) Also calculate the ratio of populations of CH4 molecules with J = 4 and J = 2 at 25 °C, given that the rotational constant of CH4 is 157 GHz.

Calculate the rotational constant (B) for the molecule H12C14N, given that the H-C and C-N bond distances are 106.6 pm and 115.3 pm respectively.

3. Consider a 2 × 2 square lattice of spins interacting via the Ising Hamiltonian in the absence of a magnetic field: H = - ΣSi Sj, (ij) we have set J = 1. (a) Write down all the possible configurations and calculate the energy for each one of them. (b) Calculate the partition function Z, as a function of temperature, by summing over all configurations. (c) Repeat question (3a) and (3b), using periodic boundary condi- tions.

Answer 2

Question

Chapter 18, Problem 18.31E

Interpretation Introduction

(a)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

Interpretation Introduction

(b)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 18, Problem 18.31E

Interpretation Introduction

(a)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

Interpretation Introduction

(b)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 18, Problem 18.31E

Interpretation Introduction

(a)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

Interpretation Introduction

(b)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 18, Problem 18.31E

Interpretation Introduction

(a)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

Interpretation Introduction

(b)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

Answer 6

Chapter 18, Problem 18.31E

Interpretation Introduction

(a)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

Answer 7

Chapter 18, Problem 18.31E

Interpretation Introduction

(a)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

Answer 8

Interpretation Introduction

(b)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

Answer 9

Interpretation Introduction

(b)

Interpretation:

The expected ratios of molecules in odd rotational states to even rotational stated for given molecule is to be predicted.

Concept introduction:

The antisymmetric spin states represent the even rotational states while symmetric spin states represent the odd rotational states.

The odd rotational states are calculated by,

(I+1)(2I+1)

The even rotational states are calculated by,

(2I2+I)

Where,

• I is the spin of magnitude.

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 18 - Prob. 18.1E Ch. 18 - Prob. 18.2E Ch. 18 - Prob. 18.3E Ch. 18 - Prob. 18.4E Ch. 18 - The following are the first four electronic energy...Ch. 18 - Prob. 18.6E Ch. 18 - Prob. 18.7E Ch. 18 - Prob. 18.8E Ch. 18 - Prob. 18.9E Ch. 18 - Prob. 18.10E

Solution Summary: The author explains the expected ratios of molecules in odd rotational states to even rotationals stated for given molecule.

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