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Chemistry 2720 Fall 2000 Assignment 8

Due: Tuesday, Dec. 5, 9:25a.m.

1.
(a)
Nuclear physics predicts that there may be a few relatively stable elements with atomic numbers around 114. What would the ground-state electronic configuration of element 114 (ununquadium, Uuq) be? [4 marks]
(b)
Predict the ion(s) which might be formed by this element and give their ground-state electronic configurations. [4 marks]

Hint: In what group would element 114 be? How does the preceding element in the group behave?

(c)
State whether each of the atom and its ion(s) is paramagnetic or diamagnetic. [3 marks]
2.
The following is an orbital energy diagram (not drawn to scale) for the valence molecular orbitals of the Cr2 molecule:

\begin{picture}(60.00,70.00)(50,15)
\put(70.00,20.00){\line(1,0){20.00}}
\put(75...
...00,80.00){\line(-1,0){20.00}}
\put(85.00,80.00){\line(1,0){20.00}}
\end{picture}
(a)
Show the occupancy of the orbitals in the ground state. [4 marks]
(b)
Would you expect Cr2 to be paramagnetic? [1 mark]
(c)
The lowest-energy valence orbital has the following appearance:
\includegraphics*{Cr2.eps}
i.
Is this a bonding or an antibonding orbital? Explain briefly. [2 marks]
ii.
Can you explain the shape of this orbital based on LCAO theory? [2 marks]
3.
Which of the following molecules have rotational absorption spectra? Which have rotational Raman spectra? [8 marks]
(a)
N2
(b)
CO
(c)
NH3
(d)
CH4
4.
Rotational absorption lines for 1H35Cl were found at 2498, 3122, 3739, 4358, 4973, 5583, 6194 and 6801GHz. The atomic masses of 1H and of 35Cl are 1.0078250321 and 34.96885271amu, respectively. What is the bond length of this molecule? [10 marks]

Bonus: This problem can be solved by doing some straightforward calculations and averaging the results. However, a more accurate value can be obtained by a fitting procedure. One bonus mark may be awarded for successful use of a fitting procedure on these data.


next up previous
Up: Back to the Chemistry 2720 assignments index
Marc Roussel
2000-11-25