Movement of pyrrole molecules defy ‘classical’ physics

New research shows that movement of the ring-like molecule pyrrole over a metal surface runs counter to the centuries-old laws of ‘classical’ physics that govern our everyday world.

Using uniquely sensitive experimental techniques, scientists have found that laws of quantum physics - believed primarily to influence at only sub-atomic levels – can actually impact on a molecular level.

Researchers at Cambridge’s Chemistry Department and Cavendish Laboratory say they have evidence that, in the case of pyrrole, quantum laws affecting the internal motions of the molecule change the “very nature of the energy landscape” – making this ‘quantum motion’ essential to understanding the distribution of the whole molecule.

The study, a collaboration between scientists from Cambridge and Rutgers universities, appeared in the German chemistry journal Angewandte Chemie earlier this month.

A pyrrole molecule’s centre consists of a “flat pentagram” of five atoms, four carbon and one nitrogen. Each of these atoms has an additional hydrogen atom attached, sticking out like spokes.
  
Following experiments performed by Barbara Lechner at the Cavendish Laboratory to determine the energy required for movement of pyrrole across a copper surface, the team discovered a discrepancy that led them down a ‘quantum’ road to an unusual discovery.

In previous work on simpler molecules, the scientists were able to accurately calculate the ‘activation barrier’ – the energy required to loosen a molecule’s bond to a surface, allowing movement – using ‘density functional theory’, a method that treats the electrons which bind the atoms according to quantum mechanics but, crucially, deals with atomic nuclei using a ‘classical’ physics approach.

Surprisingly, with pyrrole the predicted ‘activation barriers’ were way out, with calculations “less than a third of the measured value”. After much head scratching, puzzled scientists turned to a purely quantum phenomenon called ‘zero-point energy’.

In classical physics, an object losing energy can continue to do so until it can be thought of as sitting perfectly still. In the quantum world, this is never the case: everything always retains some form of residual – even undetectable – energy, known as ‘zero-point energy’.

While ‘zero-point energy’ is well known to be associated with motion of the atoms contained in molecules, it was previously believed that such tiny amounts of energy simply don’t affect the molecule as a whole to any measurable extent, unless the molecule broke apart.

But now, the researchers have discovered that the “quantum nature” of the molecule's internal motion actually does affect the molecule as a whole as it moves across the surface, defying the ‘classical’ laws that it’s simply too big to feel quantum effects.

‘Zero-point energy’ moving within a pyrrole molecule is unexpectedly sensitive to the exact site occupied by the molecule on the surface. In moving from one site to another, the ‘activation energy’ must include a sizeable contribution due to the change in the quantum ‘zero-point energy’.

Scientists believe the effect is particularly noticeable in the case of pyrrole because the ‘activation energy’ needed for diffusion is particularly small, but that many other similar molecules ought to show the same kind of behaviour.

“Understanding the nature of molecular diffusion on metal surfaces is of great current interest, due to efforts to manufacture two-dimensional networks of ring-like molecules for use in optical, electronic or spintronic devices,” said Dr Stephen Jenkins, who heads up the Surface Science Group in Cambridge’s Department of Chemistry.

“The balance between the activation energy and the energy barrier that sticks the molecules to the surface is critical in determining which networks are able to form under different conditions.”