By P.A. Gorry (Auth.)
ISBN-10: 0408015535
ISBN-13: 9780408015530
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Extra info for Basic Molecular Spectroscopy
Sample text
Benjamin Inc. (1969). , Molecular Quantum Mechanics, Oxford University Press (1970). , Quantum Chemistry, Allyn and Bacon, Boston (1974). , Introduction to Molecular Spectroscopy, McGraw-Hill (1962). , Molecules and Radiation, The MIT Press (1974). 5 m(Fx2+Ky2 + K22). 3). What are their energies? (23) Normalize the wavefunctions ψ = βιτηφ where φ can take values in the range 0^φ^2π and m is an integer. 1 to print out the first 10 energy levels of the hydrogen atom in eV, and also the degeneracy of each level.
2 to incorporate degeneracy factors such that each level J is (2J +1) degenerate. 11) If a transition from the ground state to the first excited state requires a photon of frequency 600 GHz, what will be the equilibrium ratio of the population in thefirstexcited state to the ground state at (a) 30 K, (b) 300 K, and (c) 3000 K? 12) Which of the following molecules will possess a rotational (microwave) spectrum; N 2 , IBr, C0 2 ? 4) will possess a vibrational (infra-red) spectrum? 14) Write a program that reads in the energy of a transition in cm" 1 and prints out its energy in J, kJ mol" \ eV and also provides the frequency and wavelength of the photon in Hz and metres.
When a molecule with a permanent dipole moment vibrates, the changing bond length produces a changing dipole moment. However, unlike rotation, molecules with no net dipole can still have fluctuating dipoles associated with vibration. An example can be found by examining the bond stretching motions of CS2. These consist of a symmetric stretch and an asymmetric stretch. The former has zero dipole moment always, but the latter, which compresses one bond and extends the other, only has an average value of zero.
Basic Molecular Spectroscopy by P.A. Gorry (Auth.)
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