Principles of Modern Chemistry
8th Edition
ISBN: 9781305079113
Author: David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher: Cengage Learning
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Calculate the rotational energy of CO at J=2 given a bond length of 1.0 Å. unit in eV.
(a) Express the moment of inertia of an octahedral AB6 molecule in terms of its bond lengths and the masses of the B atoms. (b) Calculate the rotational constant of 32S19F6 , for which the S—F bond length is 158 pm.
The J = 0 to J = 1 rotational transition of the CO molecule occurs at a frequency of 1.15 x 1011 Hz.(A) Use this information to calculate the moment of inertia of the molecule. (B) Calculate the bond length of the molecule.
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- The 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_forwardWhat are the symmetry species of the vibrations of a) SF6, b) BF3 that are both IR and Raman active?arrow_forwardThe rotational constant for CO is 1.9314 cm−1 and 1.6116 cm−1 in the ground and first excited vibrational states, respectively. By how much does the internuclear distance change as a result of this transition?arrow_forward
- Knowing that the rotational constant of the heteronuclear diatomic molecule HCl is 10.4367 cm−1 , calculate its internuclear distance.arrow_forwardCalculate the frequency and wavenumber of the J = 3 ← 2 transition in the pure rotational spectrum of 14N16O. The equilibrium bond length is 115 pm. Would the frequency increase or decrease if centrifugal distortion is considered?arrow_forwardThe average spacing between the rotational lines of the P and R branches of 12C21H2 and 12C22H2 is 2.352 cm−1 and 1.696 cm−1, respectively. Estimate the CC and CH bond lengths.arrow_forward
- The nuclear spin of deuterium, D, is I= 1. Calculatethe ratio of the number of ways of achieving rotational statesw ith odd and even values of J.arrow_forwardCalculate the frequency of the J = 3 2 transition in the pure rotational spectrum of 12C16O. The equilibrium bond length is 112.81 pm.arrow_forwardIs the transition A1g → E2u forbidden for electric dipole transitions in a D6h molecule?arrow_forward
- Estimate the centrifugal distortion constant for 1H127I, for which ᷉ B = 6.511 cm−1 and ᷉v = 2308 cm−1. By what factor would the constant change when 2H is substituted for 1H?arrow_forwardThe wavenumber of the fundamental vibrational transition of 79Br81Br is 323.2 cm−1. Calculate the force constant of the bond.arrow_forwardThe rotational constant of 1H35CI is 317.8 GHz. What is the separation of the lines in its pure rotational spectrum (a) in gigahertz. (b) in reciprocal centimetres?arrow_forward
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