Physical Chemistry

2nd Edition
Ball + 3 others
Publisher: Wadsworth Cengage Learning,
ISBN: 9781133958437

Physical Chemistry

2nd Edition
Ball + 3 others
Publisher: Wadsworth Cengage Learning,
ISBN: 9781133958437


Chapter 12, Problem 12.61E
Textbook Problem

Use Figure 12.23 to determine electron configurations for O 2 2 + , O 2 , and O 2 2 .

Expert Solution
Interpretation Introduction


The electron configurations for O22+, O2, and O22 are to be determined by using Figure 12.23.

Concept introduction:

Electronic configuration tells about the arrangement of the electrons in each subshell of an atom. The distribution of the electrons in the molecules is described by the molecular orbital theory.

Explanation of Solution

The number of electrons in O2 is 16. Thus, the molecular electronic configuration for O2 is (σg1s)2(σg*1s)2(σg2s)2(σg*2s)2(σg2pz)2(πμ2px2,πμ2py2)(πg*2px1,πg*2py1).

The given species are O22+, O2, and O22 respectively.

The number of electrons in O22+ is 14. It is formed by losing two electrons from O2. Thus, the molecular electronic configuration for O22+ is (σg1s)2(σg*1s)2(σg2s)2(σg*2s)2(σg2pz)2(πμ2px2,πμ2py2).

The number of electrons in O2 is 17. It is formed by gaining an electron by O2. Thus, the molecular electronic configurations for O2 is (σg1s)2(σg*1s)2(σg2s)2(σg*2s)2(σg2pz)2(πμ2px2,πμ2py2)(πg*2px2,πg*2py1).

The number of electrons in O22 is 18. It is formed by gaining two electrons by O2

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Chapter 12 Solutions

Physical Chemistry
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Ch. 12 - Draw a diagram analogous to Figure 11.15, but now...Ch. 12 - Are mathematical expressions for the following...Ch. 12 - Using the coordinate system used for the electron...Ch. 12 - Write out the complete Schrdinger equation for Li...Ch. 12 - a Assume that the electronic energy of Li was a...Ch. 12 - Spin orbitals are products of spatial and spin...Ch. 12 - If 1 and 2 are the individual wavefunctions for...Ch. 12 - Show that the correct behavior of a wavefunction...Ch. 12 - Demonstrate that equation 12.7 is symmetric with...Ch. 12 - Why isnt the electron configuration of beryllium,...Ch. 12 - Use a Slater determinant to determine the...Ch. 12 - Write a Slater determinant for the lithide ion,...Ch. 12 - Why does the concept of antisymmetric...Ch. 12 - a Construct Slater determinant wavefunctions for...Ch. 12 - Slater determinants can be written for excited...Ch. 12 - Is the wavefunction in equation 12.9 an...Ch. 12 - Examples in the chapter suggest that the number of...Ch. 12 - Suppose an electron had three possible values of...Ch. 12 - Using a periodic table or Table 12.1, find the...Ch. 12 - Write an acceptable electron configuration for...Ch. 12 - Label each electron configuration for the listed...Ch. 12 - For each atomic state in exercise 12.31, determine...Ch. 12 - In deriving equation 12.17, we stated that the...Ch. 12 - An anharmonic oscillator has the potential...Ch. 12 - Why would a perturbation H=cx3 not work for an...Ch. 12 - In a particle-in-a-box having length a, the...Ch. 12 - Calculate the average energy of an electron in a...Ch. 12 - Calculate a3 for the real wavefunction in Example...Ch. 12 - For a true polyene that is, an organic molecule...Ch. 12 - The Stark effect is the change in energy of a...Ch. 12 - Which of the following unnormalized functions can...Ch. 12 - Confirm equation 12.29 by substituting the...Ch. 12 - Verify equation 12.30 by taking the derivative of...Ch. 12 - Show that a variation theory treatment of H using...Ch. 12 - Perform a variation theory treatment of H using...Ch. 12 - Explain why assuming an effective nuclear charge,...Ch. 12 - Show that the two real wavefunctions determined in...Ch. 12 - Consider a real system. Assume that a real...Ch. 12 - Assume that a real wavefunction is a combination...Ch. 12 - a What does the secular determinant look like for...Ch. 12 - Prove the variation theorem. Assume that the...Ch. 12 - In introducing both the variation and the...Ch. 12 - State the Born-Oppenheimer approximation in words...Ch. 12 - Consider the diatomic molecules H2 and Cs2. For...Ch. 12 - Spectroscopy deals with differences in energy...Ch. 12 - Repeat the determination of H2+,1 and H2+,2 as...Ch. 12 - What is the bond order for the lowest excited...Ch. 12 - The helium atom was defined as two electrons and a...Ch. 12 - Explain how we know that the first in equation...Ch. 12 - From Figure 12.23, give molecular electronic...Ch. 12 - Use Figure 12.23 to determine electron...Ch. 12 - Use molecular orbital arguments to decide whether...Ch. 12 - What is the bond order for the NO molecule? Use...Ch. 12 - Numerically evaluate the integral in Example 12.8...Ch. 12 - Evaluate the energies of the wavefunctions that...Ch. 12 - Evaluate equations 12.46 and 12.47 versus R, as R...

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