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

Curvature (m^-1)

Required number in m^-1. Magnitude of the measured panel curvature.

Panel diagonal (mm)

Required number in mm. Diagonal length of the substrate panel.

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

Calculate package-substrate warpage as the circular-arc sagitta from measured curvature magnitude and panel diagonal. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Warpage (µm)

Returned number in µm. Center-to-edge sagitta magnitude for a circular arc.

• Material composition, geometry, process history, temperature, electric field, bias, interfaces, parasitics, and fitted parameter ranges can invalidate a compact semiconductor model.
• 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.

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