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 ...

The results revealed a substantial amplification in the amplitude of the lattice vibrations (by a factor of ~13), despite the ...

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