Home Knowledge Base Process capability

Process capability in SPC measures a process's ability to produce output within specification limits — it quantifies how well the natural variation of the process fits within the required tolerance window. High capability means the process consistently produces results well within spec; low capability means the process frequently approaches or exceeds the limits.

Key Capability Metrics

$$C_p = \frac{USL - LSL}{6\sigma}$$

Compares the specification width to the process spread. Does not consider process centering — it measures potential capability if the process were perfectly centered.

$$C_{pk} = \min\left(\frac{USL - \bar{X}}{3\sigma}, \frac{\bar{X} - LSL}{3\sigma}\right)$$

Accounts for how close the process mean is to the nearer spec limit. Always ≤ Cp. Cpk = Cp only when the process is perfectly centered.

Interpreting Capability Values

Cpk ValueInterpretationPPM Defective
< 1.0Not capable — significant out-of-spec production>2,700
1.0Barely capable — 3σ limits touch spec limits2,700
1.33Acceptable — standard industry minimum63
1.67Good — typical target for critical steps0.6
2.0Excellent — 6σ process0.002

Why Capability Matters in Semiconductors

Improving Process Capability

Process capability is the ultimate measure of process quality — it directly connects manufacturing variation to product specifications and defect rates.

spc capabilityprocess capability spc

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