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Cyclopentadiene

Some explanation please for what you mean by kinetic vs thermodynamic control.

Taxol

I think your 9 and 10 both have the wrong configuration around the alkene! You have modelled the wrong compound. Hyperstability can be investigated by looking at heats of hydrogenation and comparing them with a standard alkene.

NMR

Now you have the correct alkene configuration? So what happened when you turned eg 9 into 17? Your calc spectrum looks like a very close match. Did you try any statistical analysis (RMS deviation etc?) You did not discuss the biggest deviation of 17.77 ppm? Origins?

Epoxides

Crystal structures

"The values are such as 1.428 compared to 1.456 when attached to the same carbon.This probably due to the anomeric effect." You need to probe deeper to analyse this effect. What are the lone pairs doing? How are they oriented? Check with 2nd year notes!! Also a 3D model for the Jacobsen will help show the steric effects.

NMR

You cite only one ref for the NMR spectra. There are many! You should indicate that you are aware of this! Again a statistical analysis would help.

rotations

Again, just a single reference for each rotation? There are again many many lit values! Not all agree with the calculation, so perhaps you selected the one that agreed best?

Nice VCD spectra, but there is no need whatsoever to calculate BOTH enantiomers. You know that they are equal and opposite, there is no need at all to prove this!

TS

Hatree is spelt Hartree. You have misunderstood how to take energy differences. You need only take the lowest of the four for each enantiomer, you do not compare them pairwise as you have done. This can give misleading answers.

NCI

Good, but a little more detail for some of the other regions you have not mentioned please, not just the major ones.

QTAIM

Not much substance in your discussion here.

New candidate

A reasonable if obvious suggestion. Thanks.

Over more attention to the detail and a little more thought into your analysis is required.