The first five vibrational energy levels of ¹H¹²71 are at 1144.83, 3374.90, 5525.51, 7596.66, and 9588.35 cm¹. Treating the molecule as an anharmonic oscillator, estimate the dissociation energy of the molecule in units of reciprocal centimetres (cm-¹). [Note: m(¹H) = 1.0078 u, m(¹271) = 126.9045 u; assume the second order anharmonicity constant, Ye, to be zero.]

Estimate the vibrational frequency and rotational constant for DBr. Provide a numerical answer in cm-1.   Assume the bond length is 1.945 Å and the reduced mass is 1.95 amu.

Q 1. Use the equipartition principle to estimate the value of γ = Cpm/CVm  for gaseous CH3COOH. Do this calculation WITH the vibrational contribution to the energy.

The average spacing between the rotational lines of the P and R branches of 12C21H2 and 12C22H2 is 2.352 cm−1 and 1.696 cm−1, respectively. Estimate the CC and CH bond lengths.

But molecules combine both vibrational and rotational states in such a way that both selection rules must be satisfied if we are only talking about absorption or emission of electromagnetic radiation (i.e. photons). 5 1 images from Krane Ch 9. Relative absorption : 0.330 L=3 to L=2 L=2 to L = 1 Electronic excited state. Electronic ground state L→ L-1 L = 1 to L = 0 Ť 0.340 0.350 SE Energy (eV) 2B 0.360 : hf L=0 L=1 L=2 to to to L = 1 L = 2 L = 3 Photo 4 1 3 1 2 1 1 0 1 1 5 0 4 0 30 20 1 0 0 0 LN L→ L+1 0.370 0.380 no emission here because AL # 0, AL = +1 AN = ±1, HCI spectra. In the middle of the gap is the energy hf that would correspond to a pure vibrational transition, which would violate the rotational selection rule. What is the value of hf for the HCI spectra?

E rotational is 2.777×10−20 J