(a) Interpretation: The approximate energies of the real system are to be evaluated if H 12 = H 21 = − 0.50 (arbitrary energy units). Concept introduction: The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equal to zero.

Question

Want to see the full answer?

Answer 1

Question

Chapter 12, Problem 12.49E

Interpretation Introduction

(a)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−0.50 (arbitrary energy units).

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equal to zero.

Interpretation Introduction

(b)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−5.0 (arbitrary energy units). The difference between the calculated energies and the energies from part a is to be stated.

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equals to zero.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

What is the name of the following compound? SiMe3

K Draw the starting structure that would lead to the major product shown under the provided conditions. Drawing 1. NaNH2 2. PhCH2Br 4 57°F Sunny Q Search

7 Draw the starting alkyl bromide that would produce this alkyne under these conditions. F Drawing 1. NaNH2, A 2. H3O+ £ 4 Temps to rise Tomorrow Q Search H2

Answer 2

Question

Chapter 12, Problem 12.49E

Interpretation Introduction

(a)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−0.50 (arbitrary energy units).

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equal to zero.

Interpretation Introduction

(b)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−5.0 (arbitrary energy units). The difference between the calculated energies and the energies from part a is to be stated.

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equals to zero.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 12, Problem 12.49E

Interpretation Introduction

(a)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−0.50 (arbitrary energy units).

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equal to zero.

Interpretation Introduction

(b)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−5.0 (arbitrary energy units). The difference between the calculated energies and the energies from part a is to be stated.

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equals to zero.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 12, Problem 12.49E

Interpretation Introduction

(a)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−0.50 (arbitrary energy units).

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equal to zero.

Interpretation Introduction

(b)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−5.0 (arbitrary energy units). The difference between the calculated energies and the energies from part a is to be stated.

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equals to zero.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 12, Problem 12.49E

Interpretation Introduction

(a)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−0.50 (arbitrary energy units).

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equal to zero.

Interpretation Introduction

(b)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−5.0 (arbitrary energy units). The difference between the calculated energies and the energies from part a is to be stated.

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equals to zero.

Answer 6

Chapter 12, Problem 12.49E

Interpretation Introduction

(a)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−0.50 (arbitrary energy units).

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equal to zero.

Answer 7

Chapter 12, Problem 12.49E

Interpretation Introduction

(a)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−0.50 (arbitrary energy units).

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equal to zero.

Answer 8

Interpretation Introduction

(b)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−5.0 (arbitrary energy units). The difference between the calculated energies and the energies from part a is to be stated.

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equals to zero.

Answer 9

Interpretation Introduction

(b)

Interpretation:

The approximate energies of the real system are to be evaluated if H12=H21=−5.0 (arbitrary energy units). The difference between the calculated energies and the energies from part a is to be stated.

Concept introduction:

The secular determinant is used to solve the linear variation theory. The secular determinant is formed by the energy, overlap integrals and the energy eigenvalues. The energy of a given system is minimized by taking the secular determinant equals to zero.

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 13

Ch. 12 - In the Stern-Gerlach experiment, silver atoms were...Ch. 12 - Prob. 12.2E Ch. 12 - Prob. 12.3E Ch. 12 - Suppose s=12 for an electron. Into how many parts...Ch. 12 - Using and labels, write two possible...Ch. 12 - List all possible combinations of all four quantum...Ch. 12 - What are the degeneracies of the H atom...Ch. 12 - Prob. 12.8E Ch. 12 - a Differentiate between the quantum numbers s and...Ch. 12 - Is the spin orbital 1s for the H atom still...

Solution Summary: The author explains that the secular determinant is used to solve the linear variation theory.

Concept explainers

Want to see the full answer?

Chapter 12 Solutions