Using an appropriate expression for the partition function, describe clearly the factors that will influence the magnitude of the partition function. (ii) Calculate the vibrational partition function of N2(g) at 298 K and discuss the significance of its value. The fundamental vibration wave-number of N2(g) is 2354.99 cm-1 . (iii) Estimate the temperature required to give a value of 1.2 for the vibrational partition function of N2(g). h = 6.626 x 10-34 J s k = 1.38 x 10-23 J K-1 c = 2.998 x 108 m s-1