# 8answers - Homework #8 1. a. b. c. d. e. f. Which type of...

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Homework #8 1. Which type of molecular spectroscopy is used to determine force constants in molecules? a. rotational b. vibrational c. electronic d. a and b e. all of the above f. none of the above ANS: B Recall that force constants are related to the vibrations of molecules, not their rotational motion or their electronic states; thus, vibrational spectroscopy can be used to determine the force constants, answer B. 2. Of the following types of radiation, which has the longest wavelength? a. radio waves b. microwaves c. X-ray d. visible e. infrared f. ultraviolet ANS: A Refer to Table 20.1 on p. 826 and Figure 4.3 on p. 118. 3. Of the following types of radiation, which has the highest frequency? a. radio waves b. microwaves c. X-ray d. visible e. infrared f. ultraviolet ANS: C Refer to Table 20.1 on p. 826 and Figure 4.3 on p. 118. 4. Of the following types of radiation, which has the highest energy? a. radio waves b. Microwaves c. X-ray d. Visible e. Infrared f. Ultraviolet ANS: C Refer to Table 20.1 on p. 826 and Figure 4.3 on p. 118 and use the relationship E = h ! .

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5. The zero point energy associated with a vibration of frequency ! is equal to a. 2B b. 1/2 hv c. hv d. hc e. none of the above ANS: B E v = (v+1/2)h ! and so for the v = 0 vibrational energy level, the zero point energy can be calculated to be 1/2 h ! , which is option B. 6. In the parabolic harmonic oscillator approximation for diatomic molecules, the spacing between vibrational energy levels for a vibration of frequency ! is equal to a. 2B b. 1/2 hv c. hv d. hc e. none of the above ANS: C E v = (v+1/2)h ! . The spacing between the levelsmay be simply determined by considering two states, e.g. v=1 and v=2, for which " E =E 2 -E 1 = (5/2) hv – (3/2) hv = hv , letter C. 7. What is the reduced mass of the NO molecule in atomic mass units (amu) a. 16 amu b. 14 amu c. 7.5 amu d. 0.13 amu ANS: C Formula for reduced mass, μ is given on p. 832. In this case, m N m O m N + m O = (14.007)(15.999) 14.007 + 15.999 = 7.4684
8. Which type of radiation is used in vibrational spectroscopy? a. radio waves

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## This note was uploaded on 04/30/2008 for the course CHEM 1411 taught by Professor Parkin during the Spring '08 term at Columbia.

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8answers - Homework #8 1. a. b. c. d. e. f. Which type of...

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