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Describe the anharmonicity of vibrations.
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- At absolute zero there are only vibrational modes of movement in a substance true or falseState which of the following vibrations are IR active and which are IR inactive: N₂, CO and CO₂ (stretching). Give a brief explanation for your answers.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 XThe 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.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.
- (b) The lowest three vibrational energy levels of 127|35CI lie at 191.77, 573.06, and 951.34 cm-1. Determine the force constant, zero-point energy, well- depth and bond dissociation energy for 127135CI.The force constant for the bond in CO is 1857 N m−1. Calculate the vibrational frequencies (in Hz) of 12C16O, 13C16O, 12C18O, and 13C18O. Use integer relative atomic masses for this estimate.2. The following is the relative number of molecules in the vibrational states of the 1CI molecule determined from spectroscopy: Vibrational level E, E, E, E, E, E, Relative Population 100 53.5 28.6 15.3 8.2 4.4 Calculate the temperature of the sample given that the vibrational frequency is 1.15 x 10"s'.