4. The following have to do with rotational partition functions. a) What are the symmetry numbers o for the following molecules? i) "C"CI ii) "C*CI iii) triangular H3*
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- Which of the following molecules should have pure rotational spectra? a Deuterium, D2 D is 2H b Carbon monoxide, CO c cis1,2Dichloroethylene d trans1,2Dichloroethylene e Chloroform, CHCl3 f Buckminsterfullerene, C60N2O and CO2 have similar rotational constants (12.6 and 11.7 GHz, respect ively) but strikingly different rotational partition functions. Why?Evaluate the rotational partition function of pyridine, C5H5N, at 25 °C given that ᷉ A = 0.2014 cm−1, ᷉ B = 0.1936 cm−1, ᷉ C = 0.0987 cm−1. Take the symmetry number into account.
- Imagine gaseous Kr at 298K confined to move in a two-dimensional plane of area 4.00 cm2. What is the value of the translational partition function?Estimate the rotational partition function of ethene at 25 °C given that ᷉ A = 4.828 cm−1, ᷉ B =1.0012 cm−1, and ᷉ C = 0.8282 cm−1. Take the symmetry number into account.What is overall molecular partition function Q, and how it is constructed using the partition functions for each energetic degree of freedom?
- The diatomic molecule N2 has a rotational constant B(~) = 2.0 cm-1 and a vibrational constant v(~) = 2400 cm-1. The symmetry number for the molecule is 2. Sorry that I cannot write the symbols properly here for the wavenumber versions of the spectroscopic constants. (a) Suppose that a high-temperature limit for a partition function gives the value q = 0.34. Comment on the value and whether the high-temperature limit is valid.The H2O molecule is an asymmetric rotor with rotational constants 27.877 cm−1, 14.512 cm−1, and 9.285 cm−1. Calculate the rotational partition function of the molecule at (i) 25 °C, (ii) 100 °C.A CO2 molecule has four vibrational modes with wavenumbers 1388 cm-1, 2349 cm-1, and 667 cm-1, (the last being a doubly degenerate bending motion). Calculate the total vibrational partition function at (a) 500 K, (b) 1000 K.
- The rotational partition function for a sample of carbonyl sulfide (OCS) is found to be 25.0. Above roughly what J value do we expect to see the population (the number of molecules per J level) rapidly decreasingA certain atom has a 4-fold degenerate ground level, a 3-fold degenerate electronically excited level at 4000 cm-1, and a 4-fold degenerate level at 5500 cm-1.Part 1: Calculate the electronic partition function at 1900 K.Ans = __________ Part 2: Now calculate the electronic contribution to the molar internal energy at this same temperature. Ans = ________ kJ/molFor comparison purposes, it is instructive to consider that the translational contribution to the molar internal energy at this same temperature would be (3/2)RT or 23.69 kJ/mol. So it shows that even at these elevated temperatures, the electronic contribution is fairly small because excited electronic states are populated much less than excited translational states.For one mole of Br2 (molar mass 159.82 g/mol, vibrational frequency 325 cm-1,rotational constant 0.082 cm-1, nondegenerate ground electronic state) gas at 400 Kand 1 bar, calculate the molecular rotational partition function.A) 1,695B) 3,390C) 4,560D) 5,735E) 6,256 Please type answer note write by hend