Mechanical deformation in a crystal that alters the local properties of defects.Strain is the mechanical deformation of a material — a change in shape or size under applied stress. In crystals, strain is not just a structural detail; it alters the local electronic, magnetic, and optical properties, especially around defects. The articles in this corpus show strain as a powerful tuning knob: a carbon film becomes superconducting when stretched, a magnet is born from bending, and dark excitons in tungsten diselenide respond to deformation. Strain engineering has become a standard technique to create or modify material properties without changing composition.
The concept of strain in crystals dates back to the 19th century with the development of elasticity theory by Cauchy and others. The modern era of strain engineering began in the 1990s with the use of strained silicon in microelectronics.
When a crystal is stretched, compressed, or bent, the distances between atoms change. This alters the overlap of electron orbitals, which in turn shifts energy bands, changes effective masses, and can even induce phase transitions. Around defects, strain fields can trap or repel quasiparticles, modify their dynamics, or create local potential wells. In thin films, strain can be applied deliberately by growing the film on a substrate with a slightly different lattice constant, or dynamically by bending the substrate.
Strain engineering is used to boost the performance of transistors, create single-photon emitters in semiconductors, and enhance the critical temperature of superconductors.
A single layer of carbon atoms (graphene) can be stretched by up to 20% before breaking, and this strain can turn it into a superconductor.
| h_0 | variable | gravitational wave strain amplitude — strain |
| ε | variable | ellipticity — ellipticity |
| I_zz | variable | moment of inertia about rotation axis — moment of inertia kilogram metre squared |
| f_GW | variable | gravitational wave frequency — frequency hertz |
| d | variable | distance to source — distance metre |
| G | constant | Newton's constant of universal gravitation — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| c | constant | Speed of light in vacuum — speed of light = 299792458 metre per second |








