Electron movement and structures described in quantum physics allow researchers to better understand how and why materials ...

Figure 1: A Fourier transform of an image obtained using scanning tunneling microscopy of electrons on the surface of a crystal of zirconium silicon sulfide, showing ...

Receive emails about upcoming NOVA programs and related content, as well as featured reporting about current events through a science lens. Symmetry also has an aesthetic meaning, although this is ...

To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape. We are fond of saying things are symmetric, but what does ...

We are fond of saying things are symmetric, but what does that really mean? Intuitively we have a sense of symmetry as a kind of mirroring. Suppose we draw a vertical line through the middle of a ...