Greek cross is a sheet resistance measurement pattern — a symmetric four-point probe structure shaped like a plus sign (+), providing more accurate sheet resistance measurements than Van der Pauw structures through improved geometry.
What Is Greek Cross?
- Definition: Plus-shaped (+) test structure for sheet resistance measurement.
- Design: Four arms of equal length extending from central square.
- Advantage: Symmetric geometry improves measurement accuracy.
Why Greek Cross?
- Accuracy: Symmetric design reduces measurement errors.
- Repeatability: Consistent geometry improves reproducibility.
- Standard: Widely adopted in semiconductor industry.
- Simple Analysis: Straightforward resistance calculation.
Greek Cross vs. Van der Pauw
Greek Cross: Symmetric, more accurate, requires specific geometry. Van der Pauw: Works for arbitrary shapes, less accurate. Preference: Greek cross preferred when space allows.
Measurement Method
1. Current Injection: Apply current through opposite arms. 2. Voltage Measurement: Measure voltage across other two arms. 3. Resistance: R = V / I. 4. Sheet Resistance: R_s = (π/ln2) × R × correction factor.
Design Parameters
Arm Length: Typically 10-100 μm. Arm Width: Typically 1-10 μm. Central Square: Small compared to arm length. Symmetry: All four arms identical.
Applications: Sheet resistance monitoring of doped silicon, silicides, metal films, polysilicon, transparent conductors.
Advantages: High accuracy, good repeatability, symmetric design, standard method.
Limitations: Requires specific geometry, larger than Van der Pauw, sensitive to arm width variations.
Tools: Four-point probe stations, automated test systems, semiconductor parameter analyzers.
Greek cross is the preferred sheet resistance structure — its symmetric geometry provides superior accuracy compared to arbitrary Van der Pauw shapes, making it the standard for semiconductor process monitoring.
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