This image shows the positions of atoms (blue spheres) that make up the crystal lattice of a copper-oxide ... shift along the "rungs" and the vibrations cease, locking the atoms in place.

(Courtesy: M Dove and L Li/Matter) The anomalous and ultra-low thermal expansion of cordierite results from the interplay between lattice vibrations and the elastic properties of the material. That is ...

A polaron emerges when charge-carrying particles, like electrons, interact with vibrations in a material's atomic or molecular lattice. It’s akin to a phone ringing in a crowded auditorium during a ...

A polaron forms when charge-carrying particles such as electrons interact with vibrations in the atomic or molecular lattice of a material. Imagine a phone ringing in a packed auditorium during a ...

A polaron forms when charge-carrying particles such as electrons interact with vibrations in the atomic or molecular lattice of a material. Imagine a phone ringing in a packed auditorium during a ...

Lattice Dynamics: Adiabatic approximation. Vibrations of monoatomic and diatomic linear chain. Acoustic and optical modes. Quantization of lattice vibrations (phonons). Lattice Thermal Properties: ...