- #1
tanaygupta2000
- 208
- 14
- Homework Statement
- In the vibrational Raman spectrum of HF molecule, the Raman lines are observed at wavelengths 2670 Å and 3430 Å respectively. What is the fundamental vibrational frequency of the molecule?
- Relevant Equations
- E(n) = ℏω(n+1/2) - χℏω(n+1/2)^2
Fundamental band = E(1)-E(0)
Energy, E = hν
I know that for the vibrational Raman spectrum, the energy levels are given by-
E(n) = ℏω(n+1/2) - χℏω(n+1/2)^2
But I'm not getting what does it meant by the Raman lines are observed at given values of wavelengths and the fundamental vibrational frequency.
I equated the E(0) with the energy corresponding to 3430 Å and E(1) with that corresponding to 2670 Å and found out the harmonic frequency (ν) and the anharmonicity constant (χ).
Then for the fundamental band, I calculated the difference E(1)-E(0) and finally divided the result so obtained with Planck's constant h to get the frequency.
The final value of the frequency I'm getting is exactly double as that of given in the answer. Are my steps correct?
Please help! Thank You
E(n) = ℏω(n+1/2) - χℏω(n+1/2)^2
But I'm not getting what does it meant by the Raman lines are observed at given values of wavelengths and the fundamental vibrational frequency.
I equated the E(0) with the energy corresponding to 3430 Å and E(1) with that corresponding to 2670 Å and found out the harmonic frequency (ν) and the anharmonicity constant (χ).
Then for the fundamental band, I calculated the difference E(1)-E(0) and finally divided the result so obtained with Planck's constant h to get the frequency.
The final value of the frequency I'm getting is exactly double as that of given in the answer. Are my steps correct?
Please help! Thank You