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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.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?Explain why the lines in the spectrum for H35Cl and H37Cl give rise to different rotational constants for the two molecules.
- 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 stateDetermine the vibrational modes of selected molecular movements (in the text, cis-ML2(CO) 2 and trans-ML2(CO) 2 are used as examples)The 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.