Chem 220 - Organic Chemistry

Problem Set 6

Solution Set

Chapter 7: Cyclic Compounds: Stereochemistry of Reactions

Due: Monday, October 24, 2011


The Baeyer Laboratory, Munich, 1893

(This photograph is in the hallway across from 110 SCL)

Adolf von Baeyer (1835-1917); Nobel Prize 1905. (center, seated with derby), who was a student of Kekulé, succeeded Liebig at Munich. In the photograph (second row; third from right) is Henry Lord Wheeler (1867-1914); Yale Faculty 1896-1911. As was the custom in the 19th century, many Americans, such as Wheeler, did advanced study in chemistry in Europe. Karl is the laboratory assistant. (The only person wearing an apron and no tie; upper left.)

In 1885, as an addendum to a paper on acetylenic compounds, Baeyer proposed that cyclopentane was the least strained of the cycloalkanes

. While he accepted the idea that the carbon atoms in cycloalkanes were tetrahedral, he treated the cycloalkanes as though they were flat. He argued that there is only one cyclohexane carboxylic acid, not two (axial and equatorial) as was predicted by a chair cyclohexane.

Equatorial is frequently misspelled.

Sir Derek H. R. Barton (1918-1998)

1969 Nobel Prize with Odd Hassel for their work on conformational analysis

For a video of Barton talking about conformational analysis, click here.

Cyclohexane in the chair conformation

(How to manipulate Jmol structures)


Reading and Enrichment Assignments:

a. Work through How to Draw Cyclohexanes (PowerPoint)

b. The Conformation Module in the Study Aids will give you a good overview of the subject of conformation of cycloalkanes.


1. Compound A (MW=140.22), a 1,4-disubstituted cyclohexane, has the following composition: C, 77.09% and H, 11.50%. (What else is there?) The difference in conformational energy for the two chair conformations of A is 1.3 kcal/mol. Using the A-value data (Energy Differences Between ..... Cyclohexanes), determine the structure of A. Illustrate and explain. What is the conformational energy difference for the stereoisomer of A, ---namely A'. Explain and illustrate. Show the chair comformations of A and A' with the appropriate equilibrium arrows to illustrate the major and minor conformations. Label each conformation with its energy.

Using general chemistry math to determine an empirical formula from percentages (see table on the right), one obtains C9H16O, which is also the molecular formula because MW = 140.22. Oxygen is determined by difference. Carbon (as CO2) and hydrogen (as water) are determined directly. The cyclohexane ring less two 1,4-positions for substituents has a formula C6H10. The composition of the substituents is C9H16O - C6H10 = C3H6O. There are only three groups that contain a single oxygen. CH3O requires a companion group C2H3, which doesn't exist on the list. Secondly, OH has a complement of C3H5, which is not present. CHO (0.6 kcal/mol) requires a complement of C2H5 (1.9 kcal/mol). There difference is the same as shown forA. Therefore, A is cis-4-ethyl cyclohexanecarboxaldehyde. A' is the trans isomer with an energy difference between its chair conformers of 0.6 + 1.9 = 2.5 kcal/mol. Only axial groups increase the energy.[Note: If given the two energies of the equilibria, say A + B = 2.5 and A - B = 1.3. Two equations; two unknowns. Solve for the individual A -values.]
Atoms % Atom Mass Atom Mass/% AtomMass/%/0.71
C 77.09 12.01 6.49 9.1
H

11.50

1.008 11.41 16
O

11.41

16.00 0.71 1

2. Unknown compound (R)-(+)-A (C10H16; [α]d=124o) reacts with two molar equivalents of hydrogen to produce two 1,4-disubstituted cyclohexanes, B and C, both of which are optically inactive. Compound B has an energy difference between its two chair conformations of 0.3 kcal/mol, while compound C's difference is 3.9 kcal/mol. Ozonolysis of A provides one mole of formaldehyde and one mole of an optically active diketoaldehyde D. What are the structures of A-D? Show your reasoning. A is has three degrees of unsaturation. Since A absorbs two equivalents of hydrogen, there is one ring, which is a cyclohexane. There could be one triple bond or two double bonds. Because ozonolysis provides four carbonyl groups (formaldehyde, one aldehyde and two ketones), there must be two double bonds. In B and C, which are stereoisomers with formula C10H20, the two groups are C4H10 (See above solution). The two groups cannot be ethyls because cis-1,4-dimethylcyclohexane would have a 0 kcal/mol energy between chair conformers. One group must be methyl (C1) and the other n-propyl or isopropyl. The A-value table shows methyl = 1.8 kcal/mol and isopropyl = 2.1 kcal/mol. The three carbon group in A must be isopropenyl. It affords formaldehde and a ketone in D on ozonolysis. The remaining double bond in A is trisubstituted giving the remaining aldehyde and ketone in D upon ozonolysis. The structures of A-D are shown below. A is (+)-limonene. For more on this problem, see the end of StudyAids/mechanisms/ozonolysis. A confession: There are two possible answers to this problem !While the set on the left is what I had in mind, the Alternative answer is also acceptable. In the past I had given the structure of D. Not doing so gave two possibilities.

 

 

3. Draw the 3-D line-angle structures of the major products in each of the following reactions. Pay attention to stereochemistry, optical activity and racemic mixtures. Explain briefly.

1) Borane adds to the (E)-alkene in a Markovnikov, syn fashion. Remember, H is more electronegative than B. The addition is concerted meaning that B and H are added at the same time, not stepwise. If the latter were true, bond rotation would occur and a mixture would form. The alkene is achiral. Borane is added with equal facility to either face of the alkene forming the alkyl borane as a racemate. Oxidation occurs with retention of configuration. The net result is the anti-Markovnikov, syn addition of water to the double bond. For the mechanism go here.

 

2) Problem 1 above had the (E)-alkene; here is the (Z)-isomer. Hydroboration occurs in the same regiochemical, syn mode as above. Again a racemate is formed with both enantiomers of the borane present. Alkaline H2O2 gives athe alcohol with retention of configuration. For the mechanism go here. When two stereoisomers, such as (E)- and (Z)-3-methyl-2-hexene, each give a different product, the reaction is said to be stereospecific.

 

 

3) A racemic bromonium ion is formed although by convention only one is shown (S, S). The species has a 180o axis of symmetry. Both carbons of the 3-membered ring are equivalent. The ring opening leads to a meso-isomer.

 

 

 

4) The (Z)-isomer leads to racemic 2,3-dibromohexane. Follow the course of the reaction above and here:

(E) ----> (R,R + S,S) bromonium ion (racemic) ----> R,S-dibromide (meso)

(Z) ----> R,S bromonium ion (meso) ----> R,R + S,S-dibromide (racemic)

 

5) A chloronium ion is formed as a racemate. Attack by the solvent water in an anti mode gives constitutional chlorohydrin isomers. A is predicted to be the major isomer because addition at the methyl site (blue arrows) is seemingly less hindered than addition adjacent to the isopropyl group (green arrows).

 

 

 

 

6) This compound has a chiral center so two diastereomeric mercurinium ions can form. The need not be formed in equal amounts. Water opens the ion at the more substituted site in an anti fashion to give two diastereomeric, optically active organomercury compounds. The upper one is 2S, 3R, 4R; the lower one is 2R, 3S, 4R. Sodium borohydride removes the mercury and replaces it with hydrogen. The chiral center is removed and C2. Notice how the CIP designation at C3 in the mercurial and the final product differ owing to the change from mercury to hydrogen. The ratio of A/B is determined in the formation of the mercurinium ion. If the reaction had been conducted on racemic alkene, the ratio A/B would be the same.

 

4. In 1886, Albert Ladenburg, synthesized the Socratic poison, coniine [2-propylpiperidine (1)], in racemic form. He resolved the racemate into its enantiomers using the reverse of the technique employed by Pasteur ~25 years earlier.

a) What did Ladenburg do? He used the enantiomers of racemic tartaric acid to resolve racemic coniine.

b) Was he able to predict which enantiomer he would isolate in his very first experiment? Elaborate. No! If he wished to form a salt with (R,R)- or (S,S)-tartaric acid, he had no way of knowing whether the diastereomeric salt (S)-coniine/(R,R)-tartaric acid or (S)-coniine/(S,S)-tartaric acid is less soluble.

c) The enantiomer of coniine present in hemlock (Conium maculatum L., Umbelliferae ) is (S)-(-)-coniine, [α]D = -18o. Draw the (S)-enantiomer of coniine. See the middle panel.

d) Assume that Ladenburg obtained a sample of coniine on his first resolution that had [α]D = +16o. What should he have concluded about his resolving agent? He needs to use the opposite enantiomer of tartaric acid to obtain levorotatory coniine.!

How much of each enantiomer would have been in his sample? ee = op = [16]/18 = 89%. The dominant enantiomer is dextrorotatory. A + B = 100; A - B = 89 ---> A(+) = 94.5%; B(-) = 5.5%.

 

Albert Ladenburg

(1842 - 1911)

5. Using the Heats of Formation Table list the values for the cycloalkanes in column 2. Which of these cycloalkanes is the least strained? Place its heat of formation in column 3. Compute the hypothetical heats of formation for the remaining alkanes (Remember the magic number in kcal/mol!). Compute the difference in heats of formation of each cycloalkane (pay attention to + and - signs) in column 4 (column 2 minus column 3). What have you calculated in column 4? Find these data in the Thermochemistry Module and compare your answer. Good or bad correlation? Cyclohexane is taken as strain free. To determine the hypothetical heat of formation of the other cycloalkanes, add or subtract 5 kcal/mole/CH2. Subtracting column 3 from column 2 gives the total strain energy. Compare with this link.

Cycloalkane

ΔHfo(kcal/mol)

ΔHfo for hypothetical unstrained ring Δ(ΔHfo)
Cyclopropane +12.7 -14.5 +27.2
Cyclobutane +6.6 -19.5 +26.1
Cyclopentane -18.3 -24.5 +6.2
Cyclohexane -29.5 -29.5 0
Cycloheptane -28.2 -34.5 +6.3
Cyclooctane -29.7 -39.5 +9.8