Concept explainers
Which of the following molecules should have pure rotational spectra?
(a) Deuterium,
(b) Carbon monoxide,
(c)
(d)
(e) Chloroform,
(f) Buckminsterfullerene,
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Chapter 14 Solutions
Physical Chemistry
- the rotational constant for 1H35Cl is 10.6 cm-1 . What are the degeneracies, g, of the J=2, and J=3 rotational states?arrow_forwardA rotating methane molecule is described by the quantum numbers J, MJ, and K. (a) For methane, how many rotational states have an energy equal to hBJ(J + 1) with J= 8? (b) Now consider chloromethane. How many rotationalstates have an energy equal to hBJ(J + 1) with J = 8?arrow_forwardConsider the rotational spectrum of a linear molecule at 298 K with a moment of inertia of 1.23×10−461.23\times10^{-46}1.23×10−46 kg m2 . (a) What is the frequency for the transition from J = 2 to J = 3? (b) What is the most populated rotational level for this molecule? Would the transition in (a) give the most intense signal in the rotational spectrum?arrow_forward
- What is the most highly populated rotational level of Cl2 at (i) 25 °C, (ii) 100 °C? Take ᷉ B = 0.244 cm−1.arrow_forwardCalculate the rotational energy of CO at J=2 given a bond length of 1.0 Å. unit in eV.arrow_forwardCalculate the relative number of molecules in the J = 1 and J = 2 rotational states of HCI at 27 \deg C. (I = 2.643 x 1047 kg m^2).arrow_forward
- Calculate the rotational energies of the HCl (re = 1.275 Å) molecule up to J = 4. Assume the molecule is a rigid rotor.arrow_forwardThe moment of inertia of CH4 can be calculated from the expression I=8/3 mHR2 where R is the C-H bond length (109 angstrom or 109 x 1012 m). a. What is the lowest possible rotational energy of the CH4 molecule and what is the value of quantum number l associated with that rotational energy? b. Calculate the rotational energy of the molecule in the first excited state (when quantum number l = 1). c. Determine the degeneracy of the first excited state. Explain what is meant by rotational energy degeneracy.arrow_forwardCalculate the relative populations of the J = 2 and J = 1 rotational levels of HCI at 25 oC. For HCI the rotational constant is B =318.0 GHz.arrow_forward
- This question pertains to rotational spectroscopy. Which of the following molecules would have a pure rotational spectrum and why? HCl, N2O, O3, SF4 What information is obtained from the rotational spectrum of a diatomic molecule and how can it be used to determine the bond length of a diatomic molecule? What is the selection rule for rotational spectroscopy? The rotational constant of 127I35Cl is 3.424 GHz. Calculate the ICl bond length.arrow_forwardKnowing that the rotational constant of the heteronuclear diatomic molecule HCl is 10.4367 cm−1 , calculate its internuclear distance.arrow_forwardThe vibrational wavenumber of the oxygen molecule in its electronic ground state is 1580 cm−1, whereas that in the excited state (B 3Σu−), to which there is an allowed electronic transition, is 700 cm−1. Given that the separation in energy between the minima in their respective potential energy curves of these two electronic states is 6.175 eV, what is the wavenumber of the lowest energy transition in the band of transitions originating from the v = 0 vibrational state of the electronic ground state to this excited state? Ignore any rotational structure or anharmonicity.arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,