(b) Assume the molecule, 2H³5Cl, can be considered as a rigid rotor in a pure rotational microwave spectrum. (i) Write an expression for reduced mass and calculate it for 2H35CI. (ii) Using the 2H³5Cl bond length of 1.275 Å, calculate its moment of inertia, I. (iii) Calculate the expected wavenumbers of the &j=6 to &j=5 absorption line.

(b) Assume the molecule, 2H³5Cl, can be considered as a rigid rotor in a pure rotational microwave spectrum. (i) Write an expression for reduced mass and calculate it for 2H35CI. (ii) Using the 2H³5Cl bond length of 1.275 Å, calculate its moment of inertia, I. (iii) Calculate the expected wavenumbers of the &j=6 to &j=5 absorption line.

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter20: Molecular Spectroscopy And Photochemistry

Section: Chapter Questions

Problem 6P

See similar textbooks

Similar questions

: 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 13CO
The 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?
What is the Doppler-shifted wavelength of a red (680 nm) traffic light approached at 60 km h−1?
Calculate the separation between the two lowest levels for an O2 molecule in a one-dimensional container of length 5.0 cm. At what value of n does the energy of the molecule reach 1/2kT at 300 K, and what is the separation of this level from the one immediately below?
Assume that the states of the π electrons of a conjugated molecule can be approximated by the wavefunctions of a particle in a one-dimensional box, and that the magnitude of the dipole moment can be related to the displacement along this length by μ = −ex. Show that the transition probability for the transition n = 1 → n = 2 is non-zero, whereas that for n = 1 → n = 3 is zero. Hints: The following relation will be useful: sin x sin y = 1/2cos(x − y) − 1/2cos(x + y). Relevant integrals are given in the Resource section.
(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.
(a) Calculate the moment of inertia of (i) 1H2, (ii) 2H2, (iii) 12C16O2, (iv) 13CO2 . (b) Calculate the corresponding rotational constants, expressing your answers as a frequency in hertz (Hz) and as a wavenumber in reciprocal centimetres (cm-1).
If the force constant of the C=N bond is 1.0 X103 N/m, calculate the vibrational frequency and wavenumber of the bond.
The moments of inertia for CH3CH3 is Ia=1.1 x 10-46 Kg.m2 and Ib=4.2 x 10-46 kg.m2 First Classify with motivation the molecule as prolate or oblate, Then Calculate the rotational constants A and B in cm-1.
Q/ The bond length of the C0O molecule is 112.8 pm. Calculate the following (a) The reduced mass. (b) The rotational constant of CO when moment of inertia (I) is 1.4486 x 1046 kg.m² (c) Calculate the wavelength of the photon absorbed when a CO molecule initially in the J=2 level. makes a transition to the J=3 level.
The rotational constant of NH3 is 298 GHz. Calculate the separation of the pure rotational spectrum lines as a frequency (in GHz) and a wavenumber (in cm−1), and show that the value of B is consistent with an N–H bond length of 101.4 pm and a bond angle of 106.78°.
Calculate the rotational energies of the HCl (re = 1.275 Å) molecule up to J = 4. Assume the molecule is a rigid rotor.