Question

9. An Os molecule is angular, and its vibrational w rotational constants of the molecule are 3.553 cm1, 0.4452 cm 1, and 0.3948 cm1, Calculate the rotational and vibrational contributions to the molar Gibbs energy at 298 K avenumbers are 1110 cm1, 705 cm1, and 1042 cm, The ilcm aboe it Calculate the electronic conribution

Answer 1

Given that An ozone molecule is angular, and its vibrational wave numbers are 1110cm^-1, 705 cm6-1 and 1042 cm6-1 the rotational constants of the molecules are 3.533 cm^-1 0.4452 cm6-1 and 0.3948 cm^-1 the vibrational contribution for a particular mode is given by q_vib(v) = 1/1 - e^-hev/kt where, h = planks constant c = speed of light in vaccum k = Boltz mann constant t = temperature in kelvin v = vibrational wave number for the given mode the total vibrational contribution will be the product of the different \r\n contribution for each mode. for ozomw(0_3) at T = 298 k, we have v_1 = 111o cm6-1, v_2 = 705 cm6-1, v_3 = 1042 cm^-1 and the vibrational contributions are q_vib(v_1) = 1/ 1 - e^-6.626 times 106- 34 times 3 times 10^10 times 1110 times 208/0.38 times 106-13 = 1.0047 q_vib(v_2) = 1/ 1 - e^-6.626 times 106- 34 times 3 times 10^10 times 705/1.38 times 10^-23 times 2.08 = 1.0343