THE VDF 6. Within the harmonic oscillator approximation, what is the ratio of the vibrational frequencies, for HF and DF? UNF a. HDF WHE C. HDF WDF d. HOF b. WHF WHE
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- Determine the number of total degrees of freedom and the number of vibrational degrees of freedom for the following species. a Hydrogen sulfide, H2S b Carbonyl sulfide, OCS c The sulfate ion, SO42 d Phosgene, COCl2 e Elemental chlorine, Cl2 f A linear molecule having 20 atoms g A nonlinear molecule having 20 atoms7) Explain the basis of the Franck-Condon principle and how it leads to the formation of a vibrational progression.Explain Vibrational spectra of vibrating diatomic molecules. Write the Schrodinger wave equation, energy expression and selection rules. What is the requirement for a molecule to be active in the Infra Red region? Draw energy level diagram of a Harmonic Oscillator. Also explain anharmonicity Qustion 2
- 2. Given that the vibrational frequency of HCl is 2990.9 cm¹, determine the vibrational frequency (v, in cm¹) of DC1 within the harmonic oscillator approximation.Q2: what are the numbers of vibrational modes for Methane? and for N20?3. Determine the internal energy of an HCl molecule having one quantum of vibrational excitation (v=1) and three quanta (J=3) of rotational excitation. (v = 2990.9 cm³¹ and B = 10.59 cm ¹)
- The force constant of 79Br79Br is 240 N.m−1 . Calculate the fundamental vibrational frequency and the zero-point energy of 79Br79Br.Explain the importance of the quantization of vibrational, rotational, and translational energy as it relates to the behavior of atoms and molecules.Consider 1 mol of N2(g) at room temperature. Calculate the number of molecules in the ground rotational energy (J=0). Calculate also the average rotational energy per molecule.
- For the harmonic oscillator model how does the zero point vibrational energy (ZPE) of F2 compare to that of Cl2? -The zpe of Cl2 is greater than the zpe of F2 because Cl2 has a smaller reduced mass than F2 -The zpe of Cl2 is greater than the zpe of F2 because Cl2 has a larger reduced mass than F2 -The zpe of Cl2 is smaller than the zpe of F2 because Cl2 has a smaller reduced mass than F2 -The zpe of Cl2 is smaller than the zpe of F2 because Cl2 has a larger reduced mass than F2The fundamental vibrational frequency (v) of the diatomic molecule H¹⁹Br is 7.67 × 10¹3 Hz. Assume the molecule is a harmonic oscillator. What is the zero-point energy of H7⁹Br in cm-¹ ? A. 173 cm-¹ B. 1278 cm-¹ C. 5300 cm-¹ D. 8128 cm-¹ E. 10260 cm-¹physical chemistry 4. Sketch the shape of the ground state wavefunction for a harmonic oscillator, and the wavefunction for the next highest energy. Be sure to include the potential energy curve on the graph. What are the corresponding vibrational quantum numbers and the energies in terms of v, the classical vibrational frequency? a. A diatomic molecule with a reduced mass of 5.00 amu has a force constant of 1000 N m¹. What is the vibrational frequency in cm¹?