orbital

A cartographer who draws not mountains and rivers but invisible bonds between electrons: that's one way to describe the new neural network. Instead of atomic coordinates, it takes molecular orbitals and draws a graph where nodes are orbitals and edges are measures of their quantum entanglement.

A stellarator fusion reactor resembles an intricately twisted magnetic cocoon. Its job is to confine superheated plasma so that hydrogen nuclei fuse and release energy. But the cocoon's three-dimensional shape creates gaps: some particles escape, especially the fastest ones, which carry most of the heat.

A thrown stone follows a smooth arc: its path is easy to predict. But if the stone skips across water, the trajectory becomes jagged and far more interesting. Quantum particles behave much the same way when their state is not a calm wave with fixed energy but a turbulent mix of several waves at once.

A wafer-thin film of organic molecules was grown on a silicon substrate. In this film, as if on a sheet of graph paper, tiny "pens"—artificial atoms — were laid out with the tip of a scanning tunneling microscope.

When light knocks an electron out of a molecule, the remaining electrons don't just sit still: they rearrange, like passengers in a train car when one gets off at a stop. In ordinary molecules, this rearrangement is barely noticeable, but in chiral molecules, mirror images like left and right hands, it can make the orbitals rotate.

According to the laws of the microworld, an electron obeying the Dirac equation trembles even at complete rest. This is Zitterbewegung — an oscillation with an amplitude of trillionths of a millimeter, like a spinning top on an invisible axis.