the vibrational frequency of I2 is 214.5 cm-1. (i) Using the harmonic oscillator model, evaluate the vibrational partition function and the mean vibrational energy of I2 at 1000K. (ii) What is the characteristic vibrational temperature of I2? (iii) At 1000K, assuming high-temperature approximation, evaluate the vibrational partition function and the mean vibrational energy of I2. (iv) Comparing (i) and (iii), is the high-temperature approximation good for I2 at 1000K?

the vibrational frequency of I2 is 214.5 cm-1. (i) Using the harmonic oscillator model, evaluate the vibrational partition function and the mean vibrational energy of I2 at 1000K. (ii) What is the characteristic vibrational temperature of I2? (iii) At 1000K, assuming high-temperature approximation, evaluate the vibrational partition function and the mean vibrational energy of I2. (iv) Comparing (i) and (iii), is the high-temperature approximation good for I2 at 1000K?