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

Bump pitch (µm)

Required number in µm. Center-to-center spacing between adjacent bumps.

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

Compute the bump density of a square flip-chip bump array from its center-to-center pitch. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Bump density (1/mm^2)

Returned number in 1/mm^2. Number of bumps per square millimeter.

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

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