Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 15, Problem 15.43E
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1,3,5-Hexatriene (a kind of ‘linear’ benzene) was converted into benzene itself. On the basis of a free-electron molecular orbital model (in which hexatriene is treated as a linear box and benzene as a ring), would you expect the lowest energy absorption to rise or fall in energy as a result of the conversion?
(a) Draw a rough schematic of the series of resonances corresponding to a vibrational transition
for a diatomic. Label the P and R branches, explain what the difference is between them, and
indicate what the spacing is between the resonance lines.
(b) What is the main information about a diatomic molecule that one can obtain from vibrational
and rotational transition frequencies (assuming that the reduced mass is known)?
Define and differentiate rotational spectroscopy, vibrational spectroscopy and electron spectroscopy.
Chapter 15 Solutions
Physical Chemistry
Ch. 15 - Linearly polarized light can be assigned a...Ch. 15 - Linearly polarized light can be assigned a...Ch. 15 - Prob. 15.3ECh. 15 - Determine the value of R for deuterium (2H) and...Ch. 15 - Prob. 15.5ECh. 15 - Draw a Grotrian-type diagram for the first four...Ch. 15 - What is the value of the change in energy, E, for...Ch. 15 - Prob. 15.8ECh. 15 - List the possible values of L, ML, S, MS, J, and...Ch. 15 - Prob. 15.10E
Ch. 15 - Prob. 15.11ECh. 15 - Prob. 15.12ECh. 15 - Prob. 15.13ECh. 15 - What is the term symbol for the ground state of a...Ch. 15 - Prob. 15.15ECh. 15 - Prob. 15.16ECh. 15 - Prob. 15.17ECh. 15 - Prob. 15.18ECh. 15 - Prob. 15.19ECh. 15 - Prob. 15.20ECh. 15 - Prob. 15.21ECh. 15 - Prob. 15.22ECh. 15 - Use Hunds rules to predict the term symbol of the...Ch. 15 - Prob. 15.24ECh. 15 - Prob. 15.25ECh. 15 - An Mg atom is in the excited electron...Ch. 15 - Prob. 15.27ECh. 15 - Prob. 15.28ECh. 15 - Prob. 15.29ECh. 15 - Prob. 15.30ECh. 15 - Use group-theoretical arguments to determine the...Ch. 15 - The GeF molecule, which exists in the gas phase at...Ch. 15 - The SrH molecule in a 2+ electronic ground state....Ch. 15 - Prob. 15.34ECh. 15 - What are the values of and for NF in its 3...Ch. 15 - Prob. 15.36ECh. 15 - Determine the ground-state term symbol of the...Ch. 15 - Prob. 15.38ECh. 15 - Prob. 15.39ECh. 15 - Prob. 15.40ECh. 15 - Prob. 15.41ECh. 15 - Prob. 15.42ECh. 15 - The 1, 1'-diethyl-2, 2'-dicarbocyanine cation has...Ch. 15 - Prob. 15.44ECh. 15 - Naphthacene, C18H12, consists of four benzene...Ch. 15 - Prob. 15.46ECh. 15 - Prob. 15.47ECh. 15 - Construct the Hckel determinants for...Ch. 15 - Prob. 15.49ECh. 15 - Using the Internet, find a Hckel determinant...Ch. 15 - Prob. 15.51ECh. 15 - Explain why cyclopentadiene easily accepts an...Ch. 15 - Prob. 15.53ECh. 15 - Prob. 15.54ECh. 15 - Prob. 15.55ECh. 15 - Prob. 15.56ECh. 15 - Prob. 15.57ECh. 15 - Prob. 15.58ECh. 15 - Would the light from fireflies be considered an...Ch. 15 - Prob. 15.60ECh. 15 - Prob. 15.61ECh. 15 - Prob. 15.62ECh. 15 - How many 632.8-nm photons must a He-Ne laser emit...Ch. 15 - Prob. 15.64ECh. 15 - Green He-Ne lasers are also available; they emit...Ch. 15 - Blu-ray disks and high-density DVDs use an indium...Ch. 15 - Prob. 15.67ECh. 15 - Explain why X-ray lasers would be extremely...Ch. 15 - Prob. 15.69E
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- If the spacings between adjacent vibrational features in a photoelectron spectroscopy experiment decrease, changing by a factor of 1/2, when you deuterate the molecule being ionized, is it more likely that the orbital from which you are ejecting an electron is from a nonbonding orbital, a p orbital localized on a C-C or C-O bond, or a s orbital localized on a C-H bond? Explain.arrow_forwardAn electron in the 7 orbital of ethylene (C,H,) is excited by a photon to the * orbital. Do you expect the equilib- rium bond length in the excited ethene molecule to be greater or less than that in ground-state ethene? Will the vibrational frequency in the excited state be higher or lower than in the ground state? Explain your reasoning.arrow_forward: A space probe was designed to seek carbon monoxide in Saturn’s atmosphere by looking for lines in its rotational spectrum. If the bond length of CO is 112.8 pm, at what wavenumbers (in cm-1) do the first three rotational transitions appear? Carbon is almost all carbon-12, so for this part, you can assume it’s all 12C). What resolution would be required to determine the isotropic ratio of 13C to 12C on Saturn by observing the first three 13CO rotational lines as well? (In other words how far apart, in cm-1, are the rotational transitions of 12CO and 13COarrow_forward
- You are giving a talk at a professional meeting on the absorption spectrum of the HCl molecule (as shown), which has been obtained with a sample including molecules containing only the chlorine-35 atom, so that the double peaks as shown appear as single peaks. After discussing all of the information you can glean about the rotational motion of the molecules from the spectrum, you see a hand raised by a colleague from another university who always asks biting questions. He says, “That’s all well and good, but what about the vibration of the molecule; for example, what is the effective spring constant for the HCl molecule?” You are not upset in the slightest by this question because you prepared in advance for any questions you could think of. You immediately state a numerical value for the effective spring constant of the HCl molecule.arrow_forwardProvide a description of the general characteristics of rotational spectroscopy.arrow_forwardWhat states of (i) benzene, (ii) naphthalene may be reached by electric dipole transitions from their (totally symmetrical) ground states?arrow_forward
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