Ceramic warpage measurement calculator

Calculate peak-to-valley deviation and RMS reference-plane deviation with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use peak-to-valley deviation and RMS reference-plane deviation to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Measured signed height deviations from reference plane (mm)
0,0.2,-0.1,0.4
Reference span (mm)
200
Peak-to-valley deviation (mm)
0.5
RMS reference-plane deviation (mm)
0.229129
Peak-to-valley relative to span (%)
0.25

Try another scenario

Measured signed height deviations from reference plane (mm)
[0, 0.4, -0.2, 0.8]
Reference span (mm)
200
Peak-to-valley deviation (mm)
1
RMS reference-plane deviation (mm)
0.458258
Peak-to-valley relative to span (%)
0.5
Calculation method

Calculation method

Peak-to-valley deviation (mm)

Max deviation−min deviation relative to supplied reference plane.

RMS reference-plane deviation (mm)

sqrt(mean(deviation²)); reference plane is supplied, not fitted.

Peak-to-valley relative to span (%)

100(max−min)/reference span.

Symbols and units
a
Measured signed height deviations from reference plane (mm)
b
Reference span (mm)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Reference plane, measured deviations, dimensions. Returns Flatness deviation summary. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Measured signed height deviations from reference plane (mm): minimum None, maximum 1000000000000.0. Reference span (mm): minimum 1e-12, maximum 1000000000000.0.
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