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physicsworld.com<br />

“Some of us should venture to embark on a synthesis<br />

of facts and theories, albeit with secondhand and<br />

incomplete knowledge of some of them – and at the<br />

risk of making fools of ourselves.”<br />

So said Erwin Schrödinger in 1943 upon his foray<br />

from quantum physics into genetics. He would soon<br />

back up these words with his hugely influential 1944<br />

book, What is Life?, in which he predicted that genetic<br />

information is stored within an aperiodic crystal – an<br />

idea that would be confirmed by Francis Crick and<br />

James Watson less than a decade later when they<br />

discovered the structure of the double helix. Today,<br />

a small but increasing number of us would echo<br />

Schrödinger’s sentiments, even though the case has<br />

yet to be made conclusively for a causal link between<br />

some of the weirder aspects of quantum mechanics<br />

and biology.<br />

It is certainly true that although many examples<br />

can be found in the literature dating back half a<br />

century, there is still no widespread acceptance<br />

that quantum mechanics – that baffling yet powerful<br />

theory of the subatomic world – might play a<br />

crucial role in biological processes. Of course, biology<br />

is, at its most basic, chemistry, and chemistry is<br />

built on the rules of quantum mechanics in the way<br />

atoms and molecules behave and fit together. But<br />

biologists have (until recently) been dismissive of the<br />

counterintuitive aspects of the theory – they feel it<br />

to be unnecessary, preferring their traditional balland-stick<br />

models of the molecular structures of life.<br />

Likewise, physicists have been reluctant to venture<br />

into the messy and complex world of the living cell.<br />

Why should they when they can test their theories<br />

far more cleanly in the controlled environment of<br />

the physics lab, where they at least feel they have a<br />

chance of understanding what is going on? But now,<br />

experimental techniques in biology have become so<br />

sophisticated that the time is ripe for testing a few<br />

ideas familiar to quantum physicists.<br />

Sticking together<br />

Of all the quantum processes suggested as playing a<br />

role in biology – which include quantum coherence,<br />

superposition and entanglement – one of the least<br />

contentious and best studied is quantum tunnelling.<br />

This is the mechanism whereby a subatomic particle,<br />

such as an electron, proton or even a larger atomic<br />

nucleus, does not have enough energy to punch<br />

through a potential barrier (essentially a force field),<br />

but instead behaves as a spread-out fuzzy entity that<br />

can leak through the barrier and so occasionally find<br />

itself on the other side. This phenomenon is familiar<br />

in physics and is the mechanism responsible for radioactive<br />

decay and nuclear fusion. Quantum tunnelling<br />

is also well known in chemistry, for example in<br />

the form of hydrogen tunnelling in hydrogen-bonded<br />

dimer molecules, such as benzoic acid.<br />

It turns out that even in biology it is now well established<br />

that electrons quantum tunnel in enzymes,<br />

allowing certain chemical processes to speed up by<br />

several orders of magnitude. But one particular question<br />

that I, and others, have been exploring over the<br />

past few years is whether quantum tunnelling of hydrogen<br />

nuclei (protons) in the form of a hydrogen bond<br />

Quantum frontiers: Quantum biology<br />

has a role to play in one of the most important processes<br />

in molecular biology: DNA mutation. Hydrogen<br />

bonds are stronger than Van der Waals forces but<br />

weaker than ionic and covalent bonds, being a happy<br />

medium that hold certain organic molecules together.<br />

Crucially, they are strong enough to help build stable<br />

structures, but not so strong that they cannot be broken,<br />

which is why the structures can be rearranged<br />

into new configurations. The hydrogen bond is also<br />

responsible for stabilizing proteins and for modulating<br />

the speed and specificity of chemical reactions.<br />

In physical terms, the hydrogen bond can be<br />

described as a proton trapped in a double, often<br />

asymmetric, finite potential well. The two potential<br />

minima exist because the proton is happiest being<br />

close to one or other of the two atoms at each end of<br />

the bond, with an energy barrier in the middle, which<br />

the proton can only get over classically if given sufficient<br />

energy. To understand the proton’s behaviour<br />

we need to map the shape of this well, or potential<br />

energy surface, very accurately. This is no trivial matter<br />

as its shape depends on many variables. Not only<br />

is the bond typically part of a large complex structure<br />

consisting of hundreds or even thousands of atoms,<br />

it is also usually immersed in a warm bath of water<br />

molecules and other chemicals. Moreover, molecular<br />

vibrations, thermal fluctuations, chemical reactions<br />

initiated by enzymes and even UV or ionizing radiation<br />

can all affect the behaviour of the bond both<br />

directly and indirectly. In addition to all this, and<br />

what is of most interest here, is that the small mass<br />

of the proton means it is able to behave quantummechanically<br />

and very occasionally tunnel through<br />

the potential barrier from one well to the other (see<br />

for example the 2011 paper by Angelos Michaelides<br />

and colleagues at University College London – Proc.<br />

Natl Acad. Sci. 108 6369).<br />

This discussion is certainly relevant to DNA, which<br />

consists of two nucleotide chains wrapped around<br />

each other in a double helix. They are held together<br />

and stabilized by hydrogen bonds, which link the base<br />

pairs: adenine to thymine (A–T) and cytosine to guanine<br />

(C–G). If we consider the A–T base pair, which<br />

is held together by two hydrogen bonds, then as a<br />

result of the different possible positions of the hydrogen<br />

atoms that form the bonds, two different structures<br />

are possible. Normally, the protons form what is<br />

called the canonical (keto) structure of the base pair<br />

(figure 1), but occasionally they can be found shifted<br />

across to the opposite sides of the hydrogen bonds to<br />

form the rare tautomeric (enol) form.<br />

After their landmark paper, which was published<br />

60 years ago next month, Watson and Crick’s interests<br />

quickly turned to the biological implications of<br />

the double-helix structure and in a follow-up paper<br />

of 1953 they suggested that spontaneous mutation – a<br />

change in the genetic code, for example from ATCAT<br />

to ATCAC – may be caused by a base taking on its<br />

higher-energy, rarer, tautomeric form. A decade<br />

later, the Swedish physicist Per-Olov Löwdin boldly<br />

proposed that the tautomeric base pair that leads to<br />

a mutation is formed through double proton transfer,<br />

with each particle quantum tunnelling through the<br />

barrier separating the two asymmetric potential wells<br />

Jim Al-Khalili is a<br />

theoretical nuclear<br />

physicist and holds a<br />

chair in public<br />

engagement in<br />

science at the<br />

University of Surrey,<br />

UK. He is also a<br />

broadcaster and<br />

author whose latest<br />

book is Paradox:<br />

the Nine Greatest<br />

Enigmas in Physics<br />

published by Bantam<br />

Press, e-mail<br />

j.al-khalili@<br />

surrey.ac.uk<br />

Physics World March 2013 43

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