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Describe the anharmonicity of vibrations.
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- Explain the importance of the quantization of vibrational, rotational, and translational energy as it relates to the behavior of atoms and molecules.The hydrogen halides have the following fundamental vibrational wavenumbers: 4141.3 cm−1 (1H19F); 2988.9 cm−1 (1H35Cl); 2649.7 cm−1 (1H81Br); 2309.5 cm−1 (H127I). Calculate the force constants of the hydrogen–halogen bonds.The fundamental vibrational wavenumber for 12C160 is 2143 cm-1. For 1 mole of these molecules, calculate the number of CO molecules in the v = 0 and v= 1 levels at the given temperatures. (a) 298 K no 6.0219479766542e n11.93307140358876 (b) 1080 K no 5.73772844591641 n1= 2.70e22 X
- The vibrational temperature of a molecule prepared in a supersonic jet can be estimated from the observed popula- tions of its vibrational levels, assuming a Boltzmann distri- bution. The vibrational frequency of HgBr is 5.58 × 1012 s-1, and the ratio of the number of molecules in the n = 1 state to the number in the n = 0 state is 0.127. Estimate the vibra- tional temperature under these conditions.The equilibrium vibration frequency of the Iodine molecule is Us cm¹ and the an harmonicas constant -0.003 What is the intensity of hot band v=1→v=2 relative to that of the fundamental v=0-v-1, if the temperature is 300 °K ? .What is the highest possible degeneracy of a vibration of a Cr(CO)6 molecule? Explain your answer.
- 10. The first five vibrational energy levels of ¹H³5Cl are at 1481.86, 4367.50, 7149.04, 9826.48, and 12399.8 cm ¹. Calculate the dissociation energy of the molecule in units of reciprocal centimetres (cm¯¹). [Note: Assume the second order anharmonicity constant, ye, to be zero.] [Note: Graph paper is available.]Suggest a reason why the replacement of 12C by 13C in CO2 affects some of its vibrational frequencies but not all.The hydrogen hal ides have the following fundamental vibrational wavenumbers: HF HCI HBr HIv/cm-1 4138 2992 2649 2308(a) Calculate the force constants of the hydrogen-halogen bonds. (b) Predict the fundamental vibrational wavenumbers of the deuterium hal ides.
