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Richard Kail/Science Photo Library<br />

physicsworld.com<br />

Breaking barriers Quantum tunnelling of hydrogen in DNA is one of many<br />

quantum processes in nature being explored by physicists and biologists.<br />

Heavier atoms will (classically) lead to lower vibration<br />

frequencies or, viewed quantum mechanically, a<br />

lower zero-point energy. More energy must therefore<br />

be supplied to break the bond, which in turn lowers<br />

the measured rate. Other quantum nuclear effects,<br />

such as zero-point motion, are already known to<br />

be important in hydrogen bonds, and if a proton<br />

in a hydrogen bond is replaced by a deuteron then<br />

the structure of the bond is altered (the Ubbelohde<br />

effect), as will be the shape of the potential energy<br />

surface and hence the tunnelling probability.<br />

The bottom line is that absolute quantitative comparisons<br />

between theory and experiment are always<br />

very difficult in complex biological systems. While it<br />

is known that an isolated nucleotide base in the lab<br />

can exist in its rare tautomeric form between 0.1%<br />

and 1% of the time, this will not be the same as the<br />

rate inside living cells where polymerase enzymes<br />

have error-correcting mechanisms that can achieve<br />

fidelities up to 1 error in 108 or better. This errorcorrecting<br />

process is of course not included in any<br />

theoretical models. In any case, it is known that<br />

mutations take place for a variety of reasons and disentangling<br />

what fraction of these might be down to<br />

quantum nuclear effects is a huge challenge.<br />

Whether or not Löwdin’s hypothesis is confirmed,<br />

his 1963 paper should at least be celebrated for a<br />

statement he makes in the very first paragraph: “The<br />

electronic and protonic structure of biologically<br />

interesting molecules and systems has to be treated<br />

by quantum chemistry. This has led to the opening<br />

of a new field, which has been called sub-molecular<br />

biology or ‘quantum biology’ ”.<br />

To my knowledge, that was the first ever use of the<br />

term, showing that even if we are reluctant to credit<br />

Schrödinger with first establishing the field of quantum<br />

biology, it is certainly half a century old. n<br />

Physics World March 2013 45

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