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 Farads (F)

Required number in F.

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

Single-electron charging-voltage scale e/CΣ from total island capacitance; thermal broadening and offset charge are excluded. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Charging Volts (V)

Returned number in V.

• Material composition, geometry, process history, temperature, electric field, bias, interfaces, parasitics, and fitted parameter ranges can invalidate a compact semiconductor model.
• Total Capacitance Farads must be at least 0.
• 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.

• Quantum Dot Charging Energy Calculator

  Compute the single-electron charging energy of a quantum dot as e squared over twice its total capacitance.

• Flash Threshold Voltage Shift Calculator

  Calculate the magnitude of a flash-cell threshold shift from trapped electron count and effective charge-storage capacitance.