\[\Delta=1.76kT_c\]
Variables
Delta[Δ]superconducting energy gap (J)
kBoltzmann constant (J/K)
Tc[T_c]critical temperature (K)
Description
What is this formula?
The BCS energy gap formula calculates the superconducting energy gap at absolute zero temperature according to the Bardeen-Cooper-Schrieffer theory of superconductivity.
When to use it
This formula is used in superconductivity theory, condensed matter physics, and material science to estimate the energy required to break Cooper pairs in superconductors.
Example
A superconductor has a critical temperature of:
T_c = 9.2 K
Using:
Δ = 1.76kT_c
Where:
k = 1.38×10^-23 J/K
Substitution:
Δ = 1.76×1.38×10^-23×9.2
Result:
Δ ≈ 2.23×10^-22 J
Applications
- Superconductivity analysis
- Cooper pair energy calculations
- Condensed matter physics
- Cryogenic materials
- Quantum materials
- Superconducting device design