a) what effect does the change in internuclear separation in a diatomic molecule due to its vibration (the binding energy curve is asymmetric) have on the rotational energy levels of molecule?
b)Explain why the separation between vibrational levels is somewhat smaller in an excited electronic state than in the ground electronic state. Explain the same effect for rotational states.
c)show the ratio number of molecules in rotational level r to the number in the r=0 level, in a sample at thermal equilibrium, is a maximum for the level specified by
r= (kTI/ h bar)^1/2 - 1/2
for HCl, what is the most populated level at 600 degree kelvin?
a) what effect does the change in internuclear separation in a diatomic molecule due to its vibration (the binding energ...
In the ro-vibrational model for spectra of diatomic molecules, the total rotational and vibrational energy for a given state is: Évj = ū(v + 3) + BJC +1) (Equation 1) where v is the vibrational quantum number and J is the rotational quantum number. Complete the following steps to create a model energy level diagram for a hypothetical diatomic molecule with ✓ = 2000 cm-1 and B = 1 cm-1. i) Draw a horizontal line to represent the ground vibrational...
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...
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...
Consider a gas of diatomic molecules (moment of inertia I) at an absolute temperature T. If Eg is a ground-state energy and Eex is the energy of an excited state, then the Maxwell-Boltzmann distribution predicts that the ratio of the numbers of molecules in the two states is nexng=e−(Eex−Eg)/kT. The ratio of the number of molecules in the lth rotational energy level to the number of molecules in the ground-state (l=0) rotational level is nln0=(2l+1)e−l(l+1)ℏ2/2IkT. The moment of inertia of...