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The basic techniques of molecular mechanics and semi-emperical molecular orbital methods for structural and spectroscopic evaluations


The Hydrogenation of the Cyclopentadiene

Dimer 1

Dimer-1.mol

Note: All parameters used are finalized (Quality = 4).

Iteration 36: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 1.2923

Bend: 20.5870

Stretch-Bend: -0.8413

Torsion: 7.6715

Non-1,4 VDW: -1.4358

1,4 VDW: 4.2320

Dipole/Dipole: 0.3778

Total Energy: 31.8834 kcal/mol

Calculation completed

Dimer 2

Dimer-2.mol

Iteration 39: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 1.2454

Bend: 20.8603

Stretch-Bend: -0.8320

Torsion: 9.5039

Non-1,4 VDW: -1.5083

1,4 VDW: 4.3012

Dipole/Dipole: 0.4448

Total Energy: 34.0153 kcal/mol

Calculation completed

------------------------------------

The relative total energy of dimer 2 is greater than that of dimer 1. This means that dimer 2 is more stable than 1, which means that the formation of dimer 2 is the favoured reaction route, which in turn, suggests that the dimer is formed via a thermodynamic route since the relative product stability is high. This is demonstrated via the relatively high energy shown by dimer 2. For example, dimer 1 has a more positive strectching value than dimer 2. This means that the bonds in dimer 1 are weaker than that of dimer 2, since they stretch relatively further. This result agrees with the observed result of the experiment.


Product 3

Dimer-3.mol

Iteration 39: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 1.2067

Bend: 18.8637

Stretch-Bend: -0.7528

Torsion: 12.2396

Non-1,4 VDW: -1.5532

1,4 VDW: 5.7649

Dipole/Dipole: 0.1632

Total Energy: 35.9322 kcal/mol

Calculation completed

------------------------------------

Product 4

Dimer-4.mol

Iteration 59: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 1.0963

Bend: 14.5074

Stretch-Bend: -0.5493

Torsion: 12.4972

Non-1,4 VDW: -1.0507

1,4 VDW: 4.5124

Dipole/Dipole: 0.1407

Total Energy: 31.1540 kcal/mol

Calculation completed

------------------------------------


Product Stretching Bending Torsion Van der Waals H-bond/dipole-dipole Total Energy
3 1.2067 18.8637 12.2396 5.7649 0.1632 35.9322
4 1.0963 14.5074 12.4972 4.5124 0.1407 31.1540

The values for product 3 are generally higher than that of product 4. The stretching that occurs in product 3 is greater than that of product 4. This suggests that the bond lengths in 3 are longer than ‘normal’, which means that they are less stable. This also occurs for the bending, Van der Waals and H-bonding values. The torsion values, however, oppose the general trend. This might be because the double bond in product 4 is further away from the bridge than the double bond in product 3. The bridge could prevent high degrees if twisting on the double bond.

All these values show that product 4 is the more stable of the two products because its values have smaller deviations from the normal.


Stereochemistry of Nucleophilic additions to a pyridinium ring (NAD+ analogue)

Prolinol without MeMgI (5)

Prolinol-5.mol

Iteration 169: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 1.1986

Bend: 11.5525

Stretch-Bend: 0.0595

Torsion: 4.9284

Non-1,4 VDW: -1.9306

1,4 VDW: 11.8880

Charge/Dipole: 2.6530

Dipole/Dipole: -3.9848

Total Energy: 26.3646 kcal/mol

Calculation completed

------------------------------------


The carbonyl group, when the energy was minimised, was not the same plane as the aromatic group, which was how I drew the image originally. In fact the carbonyl group was at degrees away from the aromatic plane.


Prolinol with MeMgI (6)

Prolinol-6.mol

Iteration 114: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 1.4520

Bend: 14.5351

Stretch-Bend: 0.1508

Torsion: 5.2480

Non-1,4 VDW: -2.1822

1,4 VDW: 13.2282

Dipole/Dipole: -4.0705

Total Energy: 28.3614 kcal/mol

Calculation completed

------------------------------------

The aromatic ring lost it’s aromaticity during the reaction; however, the ring still remained planar. Moreover, the carbonyl group did not alter its angle away from the plane of this ring.


The methyl group attacked the molecule from the face of the molecule without the bridge. This could have been caused by steric hindrance.

Pyridinium 7 without PhNH2

Pryridinium-7.mol

Iteration 144: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 1.4710

Bend: 14.6508

Stretch-Bend: 0.1510

Torsion: 5.0399

Non-1,4 VDW: -2.2202

1,4 VDW: 13.2383

Dipole/Dipole: -4.0478

Total Energy: 28.2829 kcal/mol

Calculation completed

------------------------------------

This molecule had all of its aromatic rings in the same plane. The carbonyl group was at a different angle to the plane of the rings, degrees.


Pyridinium 8 with NHPh

Pryridinium-8.mol

Iteration 258: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 1.6427

Bend: 15.0395

Stretch-Bend: 0.2781

Torsion: -31.3965

Non-1,4 VDW: -5.9939

1,4 VDW: 14.0752

Dipole/Dipole: -5.8000

Total Energy: -12.1550 kcal/mol

Calculation completed

------------------------------------

This molecule has each aromatic ring in planes but they are at different angles to each other as opposed to the previous molecule, which had all the rings in the same plane. The NHPh phenyl ring was in the same plane as the carbonyl bond. The NHPh group attacked the molecule from the same face as the isopropyl group. This could have happened because the rings needed to twist to accommodate the attacking group, and the only way to prevent steric hindrance was to have the attacking group on the opposite side of the twisted ring.


When trying to move the oxygen of the carbonyl group to alter the starting point of optimisation, the program created this image:

The atom that moved was the nitrogen bonded to the isopropyl group. The program may have created this strange model to show that the oxygen of the carbonyl cannot be orientated in any other way because of the NHPh group; otherwise, the nitrogen would have to break off the ring.

The models could have electron withdrawing groups or electron donating groups to direct the attacking group to attack at a specific place. This would improve the model and could provide better results, for example, stretches and bends that are closer to the normal.


Stereochemistry and Reactivity of an Intermediate in the Synthesis of Taxol

Taxol 10

Taxol-10.mol

Iteration 165: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 2.7129

Bend: 14.5219

Stretch-Bend: 0.4049

Torsion: 20.0807

Non-1,4 VDW: -1.2177

1,4 VDW: 13.2497

Dipole/Dipole: -0.1718

Total Energy: 49.5804 kcal/mol

Calculation completed

------------------------------------

Taxol 11

Taxol-11.mol

Iteration 367: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 4.6434

Bend: 79.5305

Stretch-Bend: -0.0389

Torsion: 17.5543

Non-1,4 VDW: 0.1789

1,4 VDW: 25.5106

Dipole/Dipole: -0.0083

Total Energy: 127.3705 kcal/mol

Calculation completed

------------------------------------


Isomer Stretch Bend Torsion Van der Waals H-bonding/Dipole Total Energy
10 2.7129 14.5219 20.0807 13.2497 -0.1718 49.5804
11 4.6434


79.5305 17.5543 25.5106 -0.0083 127.3705

Generally, the values for isomer 11 are greater than that for isomer 12, except for torsion. As it was for comparison of the cyclopentadiene dimers, these results suggest that isomer 12 is the more stable of the 2 because it has values that are closer to the normal value. Furthermore, the difference in some of the values is considerable, for example the difference in the bending values and the difference in the total energy values.


How one might induce room temperature hydrolysis of a peptide

Peptide a (axial)

Peptide-a-ax.mol

Iteration 184: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 6.6610

Bend: 62.5242

Stretch-Bend: 0.0072

Torsion: 15.3740

Non-1,4 VDW: -1.2677

1,4 VDW: 25.7144

Dipole/Dipole: -7.4445

Total Energy: 101.5686 kcal/mol

Calculation completed

------------------------------------

Peptide a (equatorial)

Peptide-a-eq.mol

Iteration 160: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 6.3182

Bend: 56.1487

Stretch-Bend: -0.3240

Torsion: 13.0682

Non-1,4 VDW: -4.6705

1,4 VDW: 23.8060

Dipole/Dipole: -5.4897

Total Energy: 88.8570 kcal/mol

Calculation completed

------------------------------------


Peptide b (axial)

Peptide-b-ax.mol

Iteration 191: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 1.5451

Bend: 5.4044

Stretch-Bend: 0.5579

Torsion: 9.4197

Non-1,4 VDW: -4.9821

1,4 VDW: 9.4093

Dipole/Dipole: -4.5366

Total Energy: 16.8179 kcal/mol

Calculation completed

------------------------------------

Peptide b (equatorial)

Peptide-b-eq.mol

Iteration 140: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 1.6688

Bend: 3.7059

Stretch-Bend: 0.5242

Torsion: 7.2094

Non-1,4 VDW: -6.1675

1,4 VDW: 9.7310

Dipole/Dipole: -4.8942

Total Energy: 11.7775 kcal/mol

Calculation completed

------------------------------------


Table


Peptide (orientation) Total Energy
Peptide a (axial) 101.5686
Peptide a (equatorial) 88.8570
Peptide b (axial) 16.8179
Peptide b (equatorial) 11.7775

I have found that when the models are run through the molecular mechanics, the first peptide (peptide a) is much more unstable than peptide b and it also has the amide group closer to the alcohol group than peptide b does. It has also been found that the when the N-substituent is in the axial configuration, the relative total energy of the molecule is larger, and hence, the molecule is more unstable. This instability suggests that peptide a can achieve self hydrolysis much faster than peptide b can.


These peptides can hydrolyse easily because there is free rotation around the C-N bond of the amide, thus, extreme conditions are not required for the peptide to self hydrolyse.


Regioselective Addition of Dichlorocarbene

Compound 12

Compound_12_vib.mol
Bond type and vibration IR peak (cm-1)
C-Cl stretch 772.613
C-Cl bend 690.231
C=C stretch -

There should be peaks in the range of 1680-1630cm-1 for the C=C stretches; however, the spectrum doesn’t show this. The strong peaks between 3000 and 3250cm-1 show the CH3 and CH2 peaks.

Mono-substituted compound 12

Compound_12_mono_vib.mol
Bond type and vibration IR peak (cm-1)
C-Cl stretch 776.971
C-Cl bend 675.068
C=C stretch -

Again, there was no suggestion that the spectrum had any C=C peaks. This would either mean a problem with the molecules (however, the molecules show that there are C=C bonds in them) or a problem with the Gaussian Input file or the SCAN portal.

Stereoselective dissolving metal reductions

Cyclic ketone


Cyclic_ketone.mol

Iteration 83: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 1.9890

Bend: 3.4559

Stretch-Bend: 0.4265

Torsion: 11.6212

Non-1,4 VDW: -2.1690

1,4 VDW: 12.4113

Dipole/Dipole: 0.0339

Total Energy: 27.7688 kcal/mol

Calculation completed

------------------------------------


Cyclic alcohol


Cycalc2.mol

Iteration 207: Minimization terminated normally because the gradient norm is less than the minimum gradient norm

Stretch: 2.0958

Bend: 3.6594

Stretch-Bend: 0.4751

Torsion: 10.9640

Non-1,4 VDW: -2.9254

1,4 VDW: 13.1534

Dipole/Dipole: 0.0117

Total Energy: 27.4338 kcal/mol

Calculation completed

------------------------------------

Mechanism:

In the mechanism the radical is created due to the electron, which is formed by the lithium dissolving in ammonia creating the [Li(NH3)x]+e- species, combining with the carbon which is bonded to the oxygen. The stereochemistry of the product lies predominantly with the endo alcohol being formed. This is due to steric effects as opposed to thermodynamic or kinetic effects of the reaction. The methyl group ortho to the alcohol forces the alcohol group to end up in the endo position as the alcohol group is a bulkier substituent than a hydrogen atom.

You could tell that the reaction had worked by performing various tests to determine that the product was an alcohol, for example use of potassium dichromate which would react with and oxidise the alcohol group to the ketone, whereas, with a ketone, no reaction would proceed. The proof that the reaction had occurred would be that the orange colour of the potassium dichromate would become a green liquid, thus, if there was no colour change then the product would be 100% ketone. Furthermore, and also less destructive, would be the use of IR and NMR spectra. IR would show peaks for either alcohol (a broad peak between 3500 and 3200cm-1) or ketone (between 1760 and 1665cm-1) stretches (or both if the reaction did not proceed to completion) stretches and bends and NMR spectra of a compound with an alcohol group would show the alcohol proton (with a peak in the range of 0.5 and 6.0ppm), which would not be apparent on an NMR spectrum of a ketone compound.

Ketone NMR (Reference used: TMS mPW1PW91/6-31G(d,p) CDCl3 GIAO)


Carbon Number Gaussview Value (ppm) Literature Value (ppm)
C-3 208.871 213.25
C-11 146.573 146.28
C-13 109.677 111.06
C-5 47.7591 45.66
C-4 45.2776 45.24
C-1 42.98 41.74
C-7 41.5095 38.32
C-2 38.8442 38.20
C-9 38.2009 36.32
C-10 33.238 33.99
C-6 31.9513 27.54
C-8 25.8855 23.02
C-12 23.3122 22.71
C-15 18.7231 16.10
C-14 13.7825 11.18

It can be seen that there is a definite correlation between the calculated (Gaussview) and experimental (Literature) values. The main discrepancies are from the first (carbon 3) and the eleventh (carbon 6) set of values, where there are differences of nearly 5ppm in each case. This could have either come about due to an incorrect conformation produced in the calculated molecule, or it could have occurred because the calculated conditions would have been exactly the same as the real conditions when the NMR was taken.

J coupling


Hydrogen number Janocchio Value (Hz) Literature Value (Hz)
H-1a 12.2976 13.6
H-4 7.1961 6.6
H-14 6.4722 6.6
H-5 11.1832 13.0
H-4 12.9052 13.0
H-6b 2.5955 2.2
H-2a 12.8662 14.6

Since there are differences in which hydrogen atoms show J-coupling from the literature certain degenerate hydrogens where not recorded in Janocchio, thus, only the literature values that are closest to the calculated values are listed.

Again, the values are similar but there is variation. This also could be explained by different conformation and differing conditions since these results were taken from the NMR.

Alcohol NMR (Reference used: TMS mPW1PW91/6-31G(d,p) CDCl3 GIAO) (http://hdl.handle.net/10042/to-1019)

Carbon Number Gaussview Value (ppm) Literature Value (ppm)
C-11 146.935 147.11
C-13 109.556 110.67
C-3 73.9199 76.86
C-5 42.2233 43.22
C-1 41.6673 39.93
C-7 41.3496 39.19
C-4 40.9524 38.88
C-9 38.9667 37.10
C-10 33.486 33.78
C-2 30.9442 30.92
C-6 30.6265 26.05
C-8 25.9401 23.08
C-12 24.1926 22.82
C-15 18.7913 16.68
C-14 15.4552 14.87

Like the results for the NMR of the ketone, there are variations between the calculated and the experimental results. The only major discrepancy in the results is for carbon number 6. This carbon had a large discrepancy between its calculated and experimental values in the ketone NMR as well. This could either mean that the configuration of this molecule has not changed much with respect to this carbon atom, hence, the similar inconsistency, or it could be coincidence that the values are quite different. However, the former seems to be the more likely reason.

J-coupling


Hydrogen number Janocchio Value (Hz) Literature Value (Hz)
H-3 - 26.2
H-6b 12.2887, 2.2319 14.0, 2.3
H-1a 11.1633, 3.0421 13.2, 3.7
H-14 6.2463 6.5

A value that could match the coupling value of 26.2Hz could not be found using the Jannochio program. This could be due to an error with the molecule created on computer, i.e. it is not real, therefore, it cannot interact the same way the actual molecule would interact in an NMR machine or it was due to an anomaly recorded in the experimental data.

The alcohol NMR generally has lesser shifts for its carbons than the carbons in the ketone, however, the values are very similar showing that there is not much change in the structure of the molecule as it is reduced. The main change in the carbon shifts is that of carbon 3, which would suggest that this is the carbon with the ketone/alcohol on it. Apart from the supposed anomaly, the J-coupling values are in the same range, however, the number of values for the alcohol from the literature is much less than that of its values for the ketone.

The optical rotation was sent to the scan 3 different times (the first two times had problems with the information in the text). However, the last time was still pending after 24 hours, thus, it was not possible to retrieve this information.

References

1. Stereoselective synthesis of (–)-4-epiaxinyssamine

Leonardo Castellanosa, Carmenza Duquea, Jaime Rodríguezb and Carlos Jiménezb, Corresponding Author Contact Information, E-mail The Corresponding Author aDepartamento de Química, Universidad Nacional de Colombia, AA 14490 Bogotá, Colombia bDepartamemto de Química Fundamental, Facultad de Ciencias, Campus da Zapateira, Universidad de A Coruña, 15071 A Coruña, Spain

Received 5 October 2006; revised 1 December 2006; accepted 11 December 2006. Available online 5 January 2007.


2. Reduction of Aliphatic and Aromatic Cyclic Ketones to sec-Alcohols by Aqueous Titanium Trichloride/Ammonia System. Steric Course and Mechanistic Implications European Journal of Organic Chemistry Volume 2001, Issue 12, Date: June 2001, Pages: 2235-2243 Angelo Clerici, Nadia Pastori, Ombretta Porta

3. New Active Iron Based Reducing System for Carbonyl Compounds and Imines. Stereoselective Reduction of Cyclic Ketones. ChemInform Volume 37, Issue 26, Date: June 27, 2006 Yanina Moglie, Francisco Alonso, Cristian Vitale, Miguel Yus, Gabriel Radivoy

4. Microbial Asymmetric Catalysis - Enantioselective Reduction of Ketones [New Synthetic Methods (45)] Angewandte Chemie International Edition in English Volume 23, Issue 8, Date: August 1984, Pages: 570-578 Charles J. Sih, Ching-Shih Chen