The reaction of ethene with Br2 in solution
proceeds in two ionic steps.
(1) The Br2 molecule splits into Br+ and Br -
and Br+ attacks the electron rich ethene double bond.
(2) The (ethene.Br+) cation is then attacked by Br -.
First build ethene using planar C twice.
Click the right mouse button to leave build mode and click the
button to bring up the Mopac menu. Click RunMopac to generate
input and click RunMopac again to optimise. Return to build mode and you should
have.
Click one of the H atoms and on the build dialog set the Atom Type to Br
and select Add isolated atom.
Click OK and you should get
Click the right mouse button to leave build mode and click the
button to bring up the Mopac menu. Click NewInput.
Set Charge to 1 on dialog10 and click OK and Click RunMopac.
Rotate the optimized structure and it should look like that shown here.
Measure the distance from the Bromine to one of the carbons and you will see
that it is slightly longer than the sum of the covalent radii. The bromine is
equi-distant from the carbons and the "ethene" is no longer planar. To
get the second Br to add correctly you need to tilt the structure slightly
before adding the second bromine.
In build mode click one of the hydrogens and add an isolated Br as before and
after optimisation using Mopac defaults you should have.
Measure the distance from the bromines to the carbons. It is now a normal
covalent bond and the H-C-H angles at C are 109� and typical of tetrahedral
carbon. You can put these bonds in using Mk.CONN for cosmetic purposes.
Note on the nature of the calculations. Ethene and bromine react in
solution but simple quantum mechanical calculations are performed in the
"gas phase" where ions are much less stable. This is why it is
necessary to contrive the two steps of the reaction to some extent. However this
demonstration gets across the important geometry changes that take place at
carbon during the reaction. The Bond Rotation Energy Profile for the C-C
bond in 1,2-dibromoethane is similar to that of 1,2-dichloroethane.
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