Racemic Mixtures and Enantiomeric Excess
Racemic Mixtures
A solution in which both
enantiomers of a
compound are
present in equal amounts is called a racemic mixture, or racemate. Racemic
mixtures can be symbolized by a (d/l)- or ()- prefix in front of the substance's
name. Since enantiomers have equal and opposite specific rotations, a racemic
mixture exhibits no optical activity. Therefore it is impossible to tell a
racemic mixture apart from an
achiral substance
using
polarimetry alone. Note that the terms
chiral and
optically
active should not be
confused. It
would be incorrect to say that a racemic mixture is achiral. Chirality is a
property of individual molecules. Optical activity is a property of solutions.
A racemic mixture consists of chiral molecules, but it has no net optical
activity.
The process by which a racemic mixture is formed from chiral materials is called
racemization. One way to do this is to mix equal amounts of
enantiomeric
substances. From this point of view, it may be puzzling that racemic mixtures
are important. After all, what are the chances of obtaining any mixture in
which two enantiomers are present in exactly equal amounts? It turns out
that racemic mixtures actually occur with considerable frequency. Racemic
mixtures are often formed when achiral substances are converted into chiral
ones. This is due to the fact that chirality can only be distinguished in a
chiral environment. An achiral substance in an achiral environment has no
preference to form one enantiomer over another.
Resolution of Racemates
The separation of enantiomers poses a special problem for chemists. Enantiomers
have the same boiling points, melting points, solubilities, etc., so many of the
techniques used to separate other compounds don't work on racemic mixtures. The
answer to this problem is to separatee nantiomers in a chiral environment, where
they interact differently.
One technique is to use a chiral resolving agent. This technique relies
on the fact that while enantiomers have identical physical properties,
diastereomers generally have different properties. For example, suppose we
wanted to separate the enantiomers of 2-hydroxylpropionic acid. We add as the
resolving agent an enantiomerically pure amount of (R)-2-phenyl-ethylamine. The
two enantiomers interact with (R)-2-phenyl-ethylamine to form two distinct salt
species that are diastereomers of each other. The diastereomers can then be
crystallized separately.
Figure 2.1: Separation via formation of diastereomeric salts
Another technique is to use chiral chromatography. In this process, the
racemate is run through a column that is filled with a chiral substance. The
enantiomers will interact differently with the substance and will then elute (or
filter through the substance) at different rates. These techniques are also
applied to mixtures of enantiomers beside racemic mixtures, for example to
purify a species from small amounts of its enantiomer.
Reactions that Produce Enantiomeric Excess
How important is it for chemists to isolate pure enantiomers? In some
applications, the chirality of a molecule is unimportant. In many cases,
however, the chirality of a molecule is crucial to its function. This is
especially true in biological systems, where a molecule might have a function
vastly different from that of its enantiomer. Biological systems are chiral
environments. Here are a few examples:
Figure 2.2: Biological functions of molecules and their enantiomers
When chemists want to synthesize compounds that are important for biological
usage, they almost always need one enantiomer in high purity. The degree of
enantiomeric purity of a solution is measured by its enantiomeric excess, or
ee. The enantiomeric excess is found by dividing the observed optical
rotation by the optical rotation of the pure enantiomer and multiplying by 100
to obtain a percentage. This number represents the percentage of one enantiomer
in excess of the other. For instance, a 75/25 mixture has a 75 - 25 = 50 % ee,
while a 50/50 racemic mixture has a 50 - 50 = 0 % ee. One strategy to make a
pure enantiomer is to produce the racemic mixture, resolve the racemate using
one of the techniques above, and toss away the undesired half. However, this
strategy is not viable for expensive syntheses that require multiple steps. The
waste is special to the syntheses of complex molecules that have several
stereocenters. If we threw away half the product at every stereogenic step, our
yield would decrease exponentially!
A better solution is to employ a reagent that selectively produces one
enantiomer over another. Of course such reagents must be chiral. The problem
with this approach is that the precious chiral reagent is used up once the
reaction is complete. An even better approach is to use a chiral catalyst that
can be used over and over again. The field of chiral catalysis is a relatively
new and exciting venture in organic chemistry that holds much promise for
enhancing the power of organic synthesis.