Comprehensive Organic Chemistry - Chem 225b

Problem Set 4

Chapter 5

Due: Monday, February 18, 2008 

The Borremean Rings

Versions of this symbol date to the time of the Vikings. In the 15th century, it was apparently the symbol of a tripartite alliance of the Milanese families Visconti, Sforza and Borromeo via intermarriage. Break any (wedding?) ring and the others separate, hence the alliance is broken. The rings form a chiral object (left) that are not superimposable on their mirror image. A set of Borremean rings has been used as the logo for a certain refreshment that extols purity, body, and flavor. Is the sense of chirality of the two sets of Borremean rings the same or different? For some other discourses on chirality, see:

Potpourri

The Figure 8 Knot

Gentlemen's Neckties

 


Read the
stereoisomers module in the StudyAids and do the exercises. There is no need to record answers on your homework.

Don't forget the Chirality of Shells (Powerpoint).


1. When (R)-sec-butylbenzene, a.k.a 2-phenylbutane, undergoes free radical chlorination, four monochloro constitutional isomers are formed, the phenyl ring remaining intact. What are these structures? Draw them. Be explicit as to diastereomers, enantiomers, racemates, etc.


2. There are twelve possible Fischer projections for a given enantiomer of lactic acid. Why? (S)-(+)-Lactic acid, the cause of cramping after vigorous physical exercise, was isolated from human muscle by Berzelius. Which of the following Fischer projections represent (S)-(+)-lactic acid?


3. Enriched A has an optical purity of 20% while B has an enantiomeric excess of 50%. Both compounds are rich in the (R)-enantiomer. Compounds A and B react to form two diastereomers ARBR:ASBS and ARBS:ASBR. One diastereomer is 64% optically pure while the other one is only 33% optically pure.

a) How much of each enantiomer is present in A and B? Show work.

b) What are the percentages of each diastereomer? Show work.

c) Show how the ee of each diastereomer is obtained.

d) What is the optical purity of each diastereomer? Show work.


4. a) 1,2-Dibromoethane is optically inactive yet it has a dipole moment . Explain and illustrate.
b) meso-Tartaric acid exists in three staggered conformations, none of which has a
plane of symmetry. Yet the compound is optically-inactive. Explain and illustrate.

5. Which of the compounds on the right are, in principle, capable of resolution? Explain and illustrate.

6. A mixture of enantiomers contains 1-1/2 times more of one and shows [α]D -25.0o. What are the rotations of the pure enantiomers? Which one is in excess?

7. On the Lighter Side: The last eleven US Presidents (33-43) are shown below in order of service in addition to their party affiliation and their handedness. [Handedness is "officially" designated as how you write. Ford throwing out the "first pitch" indicates he is a rightie and not a southpaw (leftie). By the way, no photo has been converted to its mirror image by me but I found Truman as both "enantiomers". ] Everyone of these photos has something in common. Place that something (L or R) in the last column and then separate the last two columns as diastereomers and enantiomers. If you can correlate their diastereoisomerism with party affiliation, you are better than I am.


 

President

Affiliation (D = Democrat; R = Republican)

Handedness

Chirality

Truman

D

L

Eisenhower

R

R

Kennedy

D

R

Johnson

D

R

Nixon

R

R

Ford

R

"R"

Carter

D

R

Reagan

R

R

Bush 41

R

L

Clinton

D

L

Bush 43

R

R