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Chapter 40: Q. 7 (page 1174)

FIGURE Q40.7shows two possible wave functions for an electron in a linear triatomic molecule. Which of these is a bonding orbital and which is an antibonding orbital? Explain how you can distinguish them.

Short Answer

Expert verified

Wave function a is an antibonding orbital and wave function b is a bonding orbital.

Step by step solution

01

Given Information

We need to find a bonding orbital and an antibonding orbital in given wave function.

02

Explanation

Wave function a is an anti-bonding orbital and wave function b is a bonding orbital. One can tell because in the bottom one the electron has a high probability of being found between adjacent protons, indicating that the adjacent protons are sharing the electron.

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Most popular questions from this chapter

a. What is the probability that an electron will tunnel through a0.50nmair gap from a metal to a STM probe if the work function is 4.0eV?

b. The probe passes over an atom that is0.050nm“tall.” By what factor does the tunneling current increase?

c. If a 10%current change is reliably detectable, what is the smallest height change the STM can detect?

For a particle in a finite potential well of width L and depthU0 , what is the ratio of the probability Prob ( in δxat x=L+η) to the probability Prob ( in δx atx=L)?

Consider a particle in a rigid box of length L. For each of the states n=1,n=2,and n=3:

a. Sketch graphs of ψ(x)2. Label the points x=0and x=L.

b. Where, in terms of L, are the positions at which the particle is most likely to be found?

c. Where, in terms of L, are the positions at which the particle is least likely to be found?

d. Determine, by examining your ψ(x)2graphs, if the probability of finding the particle in the left one-third of the box is less than, equal to, or greater than 13. Explain your reasoning.

e. Calculate the probability that the particle will be found in the left one-third of the box

a. Sketch graphs of the probability density ψx2for the four states in the finite potential well of Figure 40.14a. Stack them vertically, similar to the Figure 40.14a graph of ψx.

b. What is the probability that a particle in then=2 state of the finite potential well will be found at the center of the well? Explain.

c. Is your answer to part b consistent with what you know about standing waves? Explain.

An electron is confined in a harmonic potential well that has a spring constant of 12.0N/m. What is the longest wavelength of light that the electron can absorb?
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