// multi-utility computation suite · offline · instant · precise
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sci.quantum-dot-confinement-energy Calculator
Calculates quantum dot confinement energy from particle size using the particle-in-a-sphere effective mass model: E_n = E_bulk_g + h²/(8r²)(1/m_e* + 1/m_h*). CdSe quantum dot at 3 nm radius: E_g ≈ 2.5 eV (green emission) — tunable from red (6 nm) to UV (1 nm) by size alone.
Inputs
D Nm
Distance across a circle through its centre. Always confirm units match the rest of the calculation.
M Eff Ratio
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Eg Ev
Reference formula or conversion factor shown for context.
Results
confinement energy ΔE (eV)
Sample size or count used in the calculation.
quantum dot band gap E_g,QD (eV)
Sample size or count used in the calculation.
emission wavelength λ (nm)
The computed linear length.
ΔE = ℏ²π²/(2m*d²)
Reference formula or conversion factor shown for context.
colour
The colour classification or output colour code computed from the inputs.