The rotational constant for a linear polyatomic molecule ABC is 2.356 cm^-1. What is the energy...
Question 5 The rotational energy levels of a diatomic molecule are given by E,= BJ(J+1) with B the rotational constant equal to 8.02 cm Each level is (2) +1)-times degenerate. (wavenumber units) in the present case (a) Calculate the energy (in wavenumber units) and the statistical weight (degeneracy) of the levels with J =0,1,2. Sketch your results on an energy level diagram. (4 marks) (b) The characteristic rotational temperature is defined as where k, is the Boltzmann constant. Calculate the...
OB-5 cm OB-10 cm RT) + expi-B 2 3 266 / 50 Rotational quantum number J Figure 2.4 The Boltzmann populations of the rotational energy levels of Fig. 2.2. The diagram has been drawn taking values of B-5 and 10 cm and T - 300 K in Eq. (2.18). Rotational quantum number. J Figure 2.7 The total relative populations, including degeneracy, of the rotational energy levels of a diatomic molecule. The diagram has been drawn for the same conditions as...
Solve the LAST ONE INCLUDE ALL
THE STEPS
The force constant for the carbon monoxide molecule is 1,908 N m At 1,000 K what is the probability that the molecule will be found in the lowest excited state? At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited...
Calculate the classical frequency of rotation of a rigid body
whose energy is given by Eq. (8.9) for states of J =J and J =J + 1,
and show that the frequency of the spectral line associated with a
transition between these states is intermediate between the
rotational frequencies of the states.
14. Calculate the classical frequency of rotation of a rigid body whose energy is given by Eq. (8.9) for states of J = J and J J+1, and...
The rotational constant of CO is 1.92 cm - 1 : (a) What is the bond length of CO? (b) Calculate the lowest three energy levels of CO , the energies of transitions between them, and sketch out their absorptionspectrum.
What is the ratio between the populations of the ground state and the rotational energy level corresponding to the given values of JJ and TT for a Cl2Cl2 molecule? Use the following values for the molecule: Bond length for the molecule = 199 pm. Mass of Cl =34.9689 mu. [ J=2,T=2.0287×10^2K]
Give details.
4. Rotational levels of 1602 Calculate the moment of inertia of the 1"02 molecule given that its bond length is 120.8 pm and that the atomic mass of 160 is 15.9949 g/mol. a. b. Calculate the rotational constant B in cm and the energy of the first 3 rotational states in cm Infer the wavenumber of the first two rotational lines c. Sketch the rotational spectrum of 1602
4. Rotational levels of 1602 Calculate the moment of inertia...
SOLVE THE 3RD ONE INCLUDE ALL
THE STEPS
At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited rotational state at 300 K. Take the interatomic distance as 1.06 Å. Estimate the wavelength of radiation emitted from adjacent vibration energy levels of NO molecule. Assume the force constant...
Solve 1st one asap
At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited rotational state at 300 K. Take the interatomic distance as 1.06 Å. Estimate the wavelength of radiation emitted from adjacent vibration energy levels of NO molecule. Assume the force constant k-1,550 N m In...
(b) The rotational Raman spectrum of 1 N2 (m(N) - 14.0031u) shows a series of Stokes lines separated by 1.4567 cm, when it is exposed to monochromatic laser radiation with wavelength of 156 nm. (i) Derive the energy separation expression of the J 3 the pure rotational Raman spectrum of 1N2 1 transition in (i) Calculate the frequency of the above transition in the pure rotational Raman spectrum of 1"N2. 4
(b) The rotational Raman spectrum of 1 N2 (m(N)...