Use this semiconductor calculation for first-order device, material, fabrication, interconnect, packaging, or reliability estimates when every coefficient and unit convention is known.

Total capacitance (F)

Required number in F. Total capacitance of the dot to its surroundings.

The cited overview of Quantum dot supplies background for the terminology and domain context used by this tool.^[1]

Compute the single-electron charging energy of a quantum dot as e squared over twice its total capacitance. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Charging energy (eV)

Returned number in eV. Single-electron charging energy.

• Material composition, geometry, process history, temperature, electric field, bias, interfaces, parasitics, and fitted parameter ranges can invalidate a compact semiconductor model.
• Total capacitance must be at least 5e-324.
• Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Compare the estimate with measured process data, current device documentation, and a higher-fidelity circuit, field, thermal, quantum, or TCAD model when the decision requires it.

• Coulomb Blockade Voltage Calculator

  Compute the Coulomb-blockade voltage e over twice the total capacitance of an island. Formula: Vb [mV] = 80.108832 / C [fF] (since e/(2·C) with e=1.602176634e-19 C, 1 fF=1e-15 F, converted to mV). Input: C > 0 fF. Output: Vb > 0 mV. Assumes an isolated metallic island at zero temperature and that C is the total capacitance to all surroundings.

• Single Electron Transistor Coulomb Gap

  Single-electron charging-voltage scale e/CΣ from total island capacitance; thermal broadening and offset charge are excluded.

• Quantum Capacitance Calculator

  Compute the two-dimensional electron gas quantum capacitance per unit area from an effective mass.