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Recently
I read a comment by a leading chemist in which he said that in chemistry, intuition is much more important than in physics.
This is a curious comment since intuition is one of those things which is hard
to define but which most people who play the game appreciate when they see it.
It is undoubtedly important in any scientific discipline and certainly so in
physics; Einstein and Feynman for instance were regarded as the outstanding
intuitionists of their age, men whose grasp of physical reality largely unaided
by mathematical analysis was unmatched. Yet it seems to me that "chemical
intuition" is a phrase which you hear much more than "physical
intuition". When it comes to intuition, chemists seem to be more in the
league of financial traders, geopolitical experts and psychologists than
physicists.
Why
is this the case? The simple reason is that in chemistry, unlike physics,
armchair mathematical manipulation and theorizing can take you only so far.
Most chemical systems are too complex for the kind of first-principles
approaches that yield predictions in physics to an uncanny degree of accuracy;
the same is true of biology. While armchair speculation and order-of-magnitude
calculations can certainly be very valuable, no chemist can design a zeolite,
predict the ultimate product of a complex polymer synthesis or list the
biological properties that a potential drug can have by simply working through
the math. As the great organic chemist R B Woodward once said
of his decision to pursue chemistry rather than math, in
chemistry, ideas have to answer to reality. Chemistry much more
than physics is an experimental science built on a foundation of rigorous and
empirical models, and as the statistician George Box once memorably quipped,
all models are wrong, but some are useful. It is chemical intuition that can
separate the good models from the bad ones.
How
then, to acquire chemical intuition? All chemists crave intuition, few have it.
It's hard to define it, but I think a good definition would be that of a
quality that lets one skip a lot of the details and get to the essential
result, often one that is counter intuitive. That definition reminds me of a
recent book by the philosopher Daniel Dennett in which he describes an
intellectual device called an "intuition pump".
An "intuition pump" is essentially a shortcut - anything from a
linguistic trick to a thought experiment - that allows one to skirt the usual
process of rigorous and methodical analysis and get to the point. A lot of
chemical thinking involves the fine art of manipulating intuition pumps. It is
the art of asking the simple, decisive question that gets to the heart of the
matter. As in a novel mathematical proof, a moment of chemical intuition
commands an element of surprise. And as with a truly ingenious mathematical
derivation, it should ideally lead us to smack our foreheads and ask why we
could not think of something so simple before.
Ultimately
when it comes to harnessing intuition, there can be no substitute for
experience. Yet the masters of the art in the last fifty years have imparted
valuable lessons on how to acquire it. Here are three that I have noticed, and
I would think they would apply as much to other disciplines as to chemistry.
1. Don't
ignore the obvious: One of the most
striking features of chemistry as a science is that very palpable properties
like color, smell, taste and elemental state are directly connected to
molecular structure. For instance, there is an unforgettably direct connection
between the smell of a simple molecule called cis-3-hexenol and
that of freshly cut grass. Once you smell both separately it is virtually
impossible to forget the connection. Chemists who are known for their intuition
never lose sight of these simple molecular properties, and they use them as disarming
filters that can cut through the complex calculations and the multimillion
dollar chemical analysis.
Colors,
smells and explosions are what often attract budding chemists to their trade at
an early age, and these qualities are also precisely the ones which can be an
important elements of chemical intuition. I remember an anecdote about the
Caltech chemist Harry Gray (an expert among other things on
colored chemical compounds) who once deflated the predictions of some
sophisticated quantum mechanics calculation by simply asking what the color of
the proposed compound was; apparently there was no way the calculations could
have been right if the compound had a particular color. As you immerse yourself
in laborious compound characterization, computational modeling and statistical
significance, don't forget what you can taste, touch, smell and see. As Pink
Floyd said, this is all that your world will ever be.
2. Get
a feel for energetics: The essence of
chemistry can be boiled down to a fight: a fight unto death of countless
factors that rally either for or against the amount of useful energy -
technically called the free energy - that a system can provide. In one sense
all of chemistry is one big multivariable optimization problem. When you are
designing molecules as anticancer agents, for hydrogen storage or solar energy
conversion or as enzyme mimics, ultimately what decides whether they will work
or not is energetics, how well they can stabilize and be stabilized and
ultimately lower the free energy of the system. Intimate familiarity with
numbers can help in these cases. Get a feel for the rough contributions made by
hydrogen bonds, electrostatics, steric effects and solvent influences, essentially
all the important interactions between molecules that dictate the fate of
chemical systems. Often the key to improving the properties of molecules is to
figure out what single interaction or combination of interactions is
responsible for a particular property; you can then tweak that property by
turning the knobs on the relevant factors.
Order
of magnitude calculations and rough guesses are especially important for
chemists working at the interface of chemistry and biology; remember, life is a
game played within a 3 kcal/mol window and any insight that allows you
to nail down numbers within this window can only help. Linus Pauling was lying
in bed with a cold when he managed to build accurate
models of protein structure, largely based on his unmatched feel for such
numbers that allowed him to make educated guesses about bond lengths and angle.
And every chemist can learn from the incomparable intuition of Enrico Fermi who tossed pieces of paper in the air when the
first atomic bomb went off, and used the distance at which they fell to
calculate a crude estimate of the yield.
A
striking case of insights acquired through thinking about energetics is
illustrated by a story that the Nobel Prize winning chemist Roald Hoffmann narrates in an issue of the magazine
"American Scientist". Hoffmann was theoretically investigating the
conversion of graphene to graphane, which is the saturated counterpart of
graphene (one in which all double bonds have been converted to single ones),
under high pressure. After having done some high-level calculations, his
student came into his office and communicated a very counter-intuitive result;
apparently graphane was more stable than the equivalent number of benzenes.
This was highly counterintuitive since every chemistry student learns that
so-called aromatic compounds with alternating double bonds are more stable that
their single-bond analogs because of the ubiquitous phenomenon of resonance.
Hoffmann could not believe the result and his first reaction was to suspect
that something must be wrong with the calculation.
Then,
as he himself recalls, he leaned back in his chair, closed his eyes and brought
half a century's store of chemical intuition to bear on the problem. Ultimately
after all the book-keeping had been done, it turned out that the result was a
simple consequence of energetics; the energy gained in the formation of strong
carbon-carbon bonds more than offset that incurred due to the loss of
aromaticity. The fact that it took a Nobel Laureate some time to work out the
result is not in any way a criticism but a resounding validation of thinking in
terms of simple energetics. Chemistry is full of surprises- even for Roald
Hoffmann- and that's what makes it endlessly exciting.
3. Stay
in touch with the basics, and learn from other fields: This is a lesson that is often iterated but seldom
practiced. An old professor of mine used to recommend flipping open an
elementary chemistry textbook every day to a random page and reading a few
pages from it. Sometimes our research becomes so specialized and we become so
enamored of our little corner of the chemical world that we forget the big
picture. Part of the lessons cited above simply involves not missing the forest
for the trees and always thinking of basic principles of structure and
reactivity in the bigger sense.
This
also involves keeping in touch with other fields of chemistry since an organic
chemist never knows when a basic fact from his college inorganic chemistry
textbook will come in handy. Most great chemists who were masters of chemical
intuition could seamlessly transition their thoughts between different
subfields of their science. This lesson is especially important in today's age
when specialization has become so intense that it can sometimes lead to condescension
toward fields other than your own. A corollary of learning from other fields is
collaboration; what you don't have you can at least partially borrow. As
Oppenheimer used to say about afternoon tea when he was director of the
Institute for Advanced Study, "Tea is where we explain to each other what
we don't understand". Chemists and scientists in general need to have tea
more often.
Ultimately
if we want to develop chemical intuition, it is worth remembering that all our
favorite molecules, whether solar energy catalysts, cancer drugs or
fertilizers, are all part of the same chemical universe, obeying the same rules
even if in diverse contexts. Ultimately, no matter what kind of molecule we are
interrogating, "Wir sind alle chemikers", every single one of us.
This is a revised version of an older post.
Nuclear physics is just as messy as chemistry! (See the volumes by Aage Bohr & Ben R. Mottelson.)
ReplyDeleteThe sentence at the end should be "Wir sind alle Chemiker". Nouns are capitalized in German and the plural of Chemiker is Chemiker.
DeleteThanks for the article - I'm a computer scientist and I often wonder what other fields are like.