Some great scientific discoveries are the culmination of vast
amounts of work carried out over long periods of time by many
different people.
Others are truly "Eureka" moments which come out of the blue.
The work for which this year's Nobel Prize in Chemistry was
awarded was an example of the latter.
On the morning of April 8, 1982, the Israeli chemist Dan
Shechtman wrote "10-fold???" in his notebook.
Little did he know this annotation would lead to a Nobel
Prize 29 years later for "the discovery of quasicrystals".
As (hopefully) every schoolkid knows, all matter can be
classified into one of three phases: solid, liquid or gas.
Solids are distinguished by the fact that their constituent
atoms are fixed firmly in place and, in contrast to those in
liquids and gases, cannot move about freely.
We can further subdivide solids into two groups, crystalline
and amorphous, depending on whether or not the atoms (or
ions) in the solid form ordered, repeating patterns in three
dimensions.
Examples of amorphous solids are soot and glass - in both of
these substances, there is no such order of the atoms.
Common household substances such as sodium chloride (salt)
and sucrose (sugar) are crystalline and the regular
arrangement of atoms and ions leads to beautifully-shaped
crystals with which I'm sure you are familiar.
It's the arrangement of the atoms/ions in three dimensions
within the solid that is the important aspect of today's
missive, and while it's a difficult thing to explain, the
best analogy is tiling the floor, a two-dimensional problem.
If you want to cover your floor completely, there are only
certain shapes of tiles you can use.
Rectangles are fine, as are equilateral triangles and
squares.
We say these have 2-fold, 3-fold- and 4-fold symmetry,
respectively, because when you rotate them about their centre
point, they will become indistinguishable twice, three times
and four times during each 360deg rotation.
Somewhat surprisingly, regular hexagons also work; these have
6-fold symmetry.
Before 1982, it was believed shapes having these symmetries
were the only ones which could fill two-dimensional, and by
extension, three-dimensional space - you can't tile a floor
completely using regular pentagons (5-fold symmetry), because
there will always be gaps.
And this is where Shechtman's "10-fold ???" annotation comes
in.
Using a technique called electron diffraction, he discovered
a crystalline substance that apparently exhibited 10-fold
symmetry, something so out of line with the accepted wisdom
of the time that he was asked to leave the research group in
which he was working when he reported his results.
He was also pilloried by the scientific establishment, with
one of his fiercest critics being the Nobel Laureate Linus
Pauling.
The first time he tried to publish this result, the
manuscript was rejected and it took more than two years to
get the work into print.
Eventually, however, Shechtman was shown to be correct, and
examples of crystalline substances with 5-fold, 8-fold,
12-fold and 18-fold symmetry are now known.
Crystalline substances displaying these unusual symmetries
are called quasicrystals, because while they display
short-range symmetry, there is no long-range repetition of
the pattern, a situation once thought impossible.
Indeed, thanks to Shechtman's discovery, the scientific
definition of a crystal was changed in 1992 to incorporate
quasicrystals.
Shechtman's vindication is an object lesson in the way
science works.
No matter how crazy a result may initially appear, when it is
shown to be reproducible by other workers, it can itself end
up being accepted wisdom.
Heck, it might even just lead to a Nobel Prize.
- Dr Blackman is an associate professor in the chemistry
department at the University of Otago
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