Home work Physical and Theoretical Chemistry IV
- Molecular Spectroscopy -

Discussion  Fr 10.07.2009 at 12:15,  PK 11.2


Home work 11         Pre-examination

 

I.                    The F2+ molecular ion has the valence electron configuration 1σ2g 2σ*2u 3σ*2g 1p4 2p*3g .

a.       Calculate the multiplicity (2S+1), parity (g, u), and the projection of the total orbital angular momentum (Λ) of the corresponding molecular term.

b.      If this molecular ion stable, or unstable? Explain your result.

            Number of points: 4

II.       For14NO in its electronic ground state X one observes an equilibrium distance of  r = 0,12425 nm and with respect to vibration we= 1904 cm-1 and wexe= 14,1cm-1.

            a)  Determine the zero point energy of 14NO (in cm-1
            b)  What is the vibrational frequency (we) of  15NO in this electronic state?
            c)  Determine the rotational constant B of 14NO und 15NO in cm-1?

Number of points: 6

III.            What is the electron configuration of the ground state of  Sodium atom (Na)? Write all possible values of the quantum numbers L, ML, S, MS , J, MJ in this state. Assume that an electron is excited in the electric discharge from the 3s to the 3p orbital. Assume that the obtained fluorescence from the excited state to the ground state is detected by an observer using a monochromator. How many spectral lines can the observer see in the fluorescence? Explain your result.

Number of ponts: 4

       VI.    A dye laser has 104  logitudinal modes in the optical resonator of 1 meter long.  Estimate the shortest pulse length which can be generated by this laser in the mode locking regime.           

            Number of points: 4

V.       The ground state of N2 molecule is 1Σ+g where the rotational constant B is 1,9987 cm-1. Calculate which rotational energy level J has the greatest population at the room temperature. Which rotational branches can be detected in absorption from the ground state to the 1Σ+u excited state?  

Number of points: 6

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