J: 2 --> 1 3874.14 cm-1 J: 1 --> 0 3917.45 cm-1 J: 0 --> 1 3998.08 cm-1 J: 1 -->

Question

                    J: 2 --> 1 3874.14 cm-1                 

                    J: 1 --> 0 3917.45 cm-1                 

                    J: 0 --> 1 3998.08 cm-1                 

                    J: 1 --> 2 4036.00 cm-1                 

                    a) assign each transition to an R-branch or P-branch                 

                    b) without explicit calculation, estimate the vibrational frequency in cm-1 of HF. Explain how you arrived at this estimate.                 

                    c) Use these transitions to calculate the rotational constant in teh ground vibrational state, B0, and the rotational constant in teh first-excited vibratinal                    state B1.                 

                    d) B = hbar^2 / (2uR^2) if B is in joules. By how much in angstroms does the bond length change upon the vibrational excitation? mass of H = 1 amu and mass of                    F= 19 amu

Explanation / Answer

the energy is

E = (h x c/lamda)

where h is planck's constant(6.63 x 10^-34 J-s),c = 3 x 10^8 m/s and lamda is wavelength of light used

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