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sci.quantum-dot-size Calculator
Calculates quantum dot confinement energy and emission wavelength from particle size using the particle-in-a-sphere model and effective mass. CdSe quantum dots tune from red (6 nm) to blue (2 nm) by size alone — this size-tunable fluorescence is exploited in QLED displays and bioimaging probes.
Inputs
Bandgap Ev
Reference formula or conversion factor shown for context.
Bulk Bandgap Ev
Reference formula or conversion factor shown for context.
Effective Mass Ratio
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Results
quantum dot radius (nm)
The computed radius -- half the diameter.
quantum dot diameter (nm)
The computed diameter -- twice the radius.
bandgap confinement shift (eV)
Sample size or count used in the calculation.
particle-in-a-box: ΔE = π²ℏ²/(2m*R²)
Sample size or count used in the calculation.
emission wavelength
The computed linear length.
CdSe dots emit
Reference formula or conversion factor shown for context.