Problem Set 4
Chapter 5
Due: Monday, February 18, 2008
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:
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 alleged 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. A mixture of enantiomers has [α]D
= -78o. If the rotation of the pure
dextrorotatory enantiomer is [α]D =
104o, what is the composition of the
mixture? 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.