Quantum Dot Confinement — Brus Equation (CdSe)
E
dot
(R) = E
bulk
+ ħ²π²/(2m
e
*R²) + ħ²π²/(2m
h
*R²) − 1.8e²/(4πε₀ε
r
R)
Band Gap vs Dot Radius
Brus theory
Experimental data
Material & Radius
CdSe
ZnS
R
3.00 nm
E
dot
=
—
eV
—
—
Brus Terms
Log–Log: Confinement Energy vs Radius (slope = −2)
Physics Checks