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

Line length (µm)

Required number in µm. Routing length of the copper line.

Line width (µm)

Required number in µm. Lithographic width of the copper line.

Metal thickness (µm)

Required number in µm. Copper thickness of the line.

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

Compute the DC resistance of a copper interposer or redistribution line from its length, width, and metal thickness. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Line resistance (mΩ)

Returned number in mΩ. DC line resistance assuming bulk copper resistivity.

• Material composition, geometry, process history, temperature, electric field, bias, interfaces, parasitics, and fitted parameter ranges can invalidate a compact semiconductor model.
• Line length must be at least 5e-324.
• Line width must be at least 5e-324.
• Metal thickness 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.

• Interposer Line Capacitance Calculator

  Estimate the parallel-plate capacitance of an interposer routing line from its width, length, dielectric thickness, and dielectric constant.

• Transfer Length Calculator

  Convert specific contact resistivity and sheet resistance into the contact transfer length. Formula: Lt [µm] = 1e4 · sqrt(ρc [Ω·cm²] / Rsh [Ω/sq]). Inputs: ρc > 0 Ω·cm², Rsh > 0 Ω/sq. Output: Lt > 0 µm. Assumes uniform sheet resistance under the contact and the transmission-line model (long contact, negligible metal resistance).

• Specific Contact Resistivity Calculator

  Calculate specific contact resistivity from measured contact resistance, contact width, and transfer length using the transmission-line relation rho-c = Rc W LT.