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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 atomsDetermine the number of total degrees of freedom and the number of vibrational degrees of freedom for the following molecules. a Hydrogen fluoride, HF b Hydrogen telluride, H2Te c Buckminsterfullerene, C60 d Phenylalanine, C6H5CH2CHNH2COOH e Naphthalene, C10H8 f The linear isomer of the C4 radical g The bent isomer of C4 radical.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.Explain why the lines in the spectrum for H35Cl and H37Cl give rise to different rotational constants for the two molecules.How many normal modes of vibration are there for the following molecules:(a) HI, (b) CO2, (c) HCN, (d) H2O, (e) NH3, (f) CH4, (g) SF6?
- How many vibrational modes are there for the molecule NC–(C≡C–C≡C–)10CN detected in an interstellar cloud?7) Explain the basis of the Franck-Condon principle and how it leads to the formation of a vibrational progression.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 peaks in a UV-Visible spectrum are associated with which molecular changes? electronic state vibrational state rotational state translational stateThe Li2 molecule (7Li isotope) shows a very weak infrared line in its vibrational spectrum at a wavelength of 2.85 ×10-5m. Calculate the force constant for the Li2 molecule.Determine the vibrational modes of selected molecular movements (in the text, cis-ML2(CO) 2 and trans-ML2(CO) 2 are used as examples)