Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 17, Problem 17.27E
A one-dimensional particle-in-a-box has a length of
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Consider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. Let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What are quantum states that the electrons from this molecule can occupy in the ground state? What’s the smallest frequency of light that can excite the electron? Note that the length of a C-C bond is about 1.54A and the length of a C=C bond is 1.34A to allow you to estimate the length of the “molecular box”
4.
Given these operators A=d/dx and B=x², can you measure the expectation
values of the corresponding observables to infinite precision simultaneously?
Consider the molecules: CH2=CH-CH=CH-CH=CH-CH=CH-CH=CH2. let’s assume that the 10 electrons that make up the double bonds can exist everywhere along the carbon chains. The electrons can then be considered as particles in a box; the ends of the molecule correspond to the boundaries of the box with a finite or zero potential energy inside. In this “molecular box”, 2 electrons can occupy an energy level. What are quantum states that the electrons from this molecule can occupy in the ground state? What’s the smallest frequency of light that can excite the electron? Briefly explain why. Note that the length of a C-C bond is about 1.54A and the length of a C=C bond is 1.34A to allow you to estimate the length of the “molecular box”
Chapter 17 Solutions
Physical Chemistry
Ch. 17 - Prob. 17.1ECh. 17 - Prob. 17.2ECh. 17 - Prob. 17.3ECh. 17 - Prob. 17.4ECh. 17 - Prob. 17.5ECh. 17 - Prob. 17.6ECh. 17 - Prob. 17.7ECh. 17 - Prob. 17.8ECh. 17 - Prob. 17.9ECh. 17 - Prob. 17.10E
Ch. 17 - Prob. 17.11ECh. 17 - If the ni values are all the same, a shorthand way...Ch. 17 - Prob. 17.13ECh. 17 - Prob. 17.14ECh. 17 - Prob. 17.15ECh. 17 - Prob. 17.16ECh. 17 - Prob. 17.17ECh. 17 - Prob. 17.18ECh. 17 - Prob. 17.19ECh. 17 - Prob. 17.20ECh. 17 - Prob. 17.21ECh. 17 - Prob. 17.22ECh. 17 - Explain why q is a constant for a given system at...Ch. 17 - What is the ratio of ground-state nickel atoms in...Ch. 17 - Ti3+ has the following electronic energy levels:...Ch. 17 - Using the fact that =1/kT, show that equations...Ch. 17 - A one-dimensional particle-in-a-box has a length...Ch. 17 - Prob. 17.28ECh. 17 - Prob. 17.29ECh. 17 - Prob. 17.30ECh. 17 - Prob. 17.31ECh. 17 - What is the value of q at absolute zero? Is it the...Ch. 17 - Prob. 17.33ECh. 17 - Prob. 17.34ECh. 17 - Prob. 17.35ECh. 17 - Prob. 17.36ECh. 17 - Prob. 17.37ECh. 17 - Prob. 17.38ECh. 17 - Prob. 17.39ECh. 17 - Prob. 17.40ECh. 17 - Prob. 17.41ECh. 17 - Prob. 17.42ECh. 17 - What change is there in the Sackur-Tetrode...Ch. 17 - Prob. 17.44ECh. 17 - Prob. 17.45ECh. 17 - Prob. 17.46ECh. 17 - Calculate the thermal de Broglie wavelength of He...Ch. 17 - Prob. 17.48ECh. 17 - Prob. 17.49ECh. 17 - Prob. 17.50ECh. 17 - Prob. 17.51ECh. 17 - Prob. 17.52ECh. 17 - Prob. 17.53ECh. 17 - Use equation 17.56 to determine the change in...Ch. 17 - For an electron that has a velocity of 0.01c where...Ch. 17 - Use the Sackur-Tetrode equation to derive the...Ch. 17 - Prob. 17.57ECh. 17 - Prob. 17.58E
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