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The number of vibrational modes for the molecule of ammonia is
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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.
- Use the equipartition principle to estimate the value of γ = Cpm/CVm for gaseous N2O5. Do this calculation WITH the vibrational contribution to the energy. a. 1.07 b. 1.33 c. 1.4 d. 1.7 e. 1.5Transitions in the rotational spectrum of the sodium chloride molecule, 23N235CI, which is present in the interstellar medium, are observed at frequencies of 247.2, 260.2, 273.2, 286.2 and 299.2 GHz. Determine the bond length of a sodium chloride molecule. A. 1.09 Å O B. 2.37 Å O C. 5.62 Å O D. 2.01 Å3. 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)
- 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.1. Determine the number of translational, vibrational, and rotational degrees of freedom available to the molecule NH3. 2. Calculate the rotational constant (B) for the molecule H12C14N, given that the H-C and C-N bond distances are 106.6 pm and 115.3 pm respectively.The force constant of 79Br79Br is 240 N.m−1 . Calculate the fundamental vibrational frequency and the zero-point energy of 79Br79Br.
- The moment of inertia of CH4 can be calculated from the expression I=8/3 mHR2 where R is the C-H bond length (109 angstrom or 109 x 1012 m). a. What is the lowest possible rotational energy of the CH4 molecule and what is the value of quantum number l associated with that rotational energy? b. Calculate the rotational energy of the molecule in the first excited state (when quantum number l = 1). c. Determine the degeneracy of the first excited state. Explain what is meant by rotational energy degeneracy.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?7) Explain the basis of the Franck-Condon principle and how it leads to the formation of a vibrational progression.
