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Vickers hardness number calculator

Calculate Vickers hardness from one mean diagonal or two measured diagonals, with inverse force and diagonal modes.

Calculator

Vickers hardness number HV
185.43677091
Test force
9.80665
Mean diagonal
0.0001
Force per indentation surface area
1,818,510
Pyramidal contact area
0
Scientific notation
QuantityValue in stated units
Force per indentation surface area (Pa)1.81851351e+9
Pyramidal contact area (m2)5.39267371e-9

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How this calculator works

Vickers testing uses a square-based diamond pyramid with a standard 136 degree angle between opposite faces. Average the two impression diagonals before squaring. The reported HV number uses the conventional kgf/mm2 basis, with exact standard gravity for force conversion. Changing the pyramid angle evaluates the geometric relation but no longer represents the standard Vickers indenter. Tensile strength cannot be reliably inferred without a material-specific empirical conversion, so this page reports hardness and contact pressure directly.

Formula

HV = 2 F sin(alpha/2)/(9.80665 d_mm^2); standard alpha = 136 degrees. Mean d = (d1+d2)/2.

Worked example

A 1 kgf load and 0.1 mm mean diagonal give HV = 185.43677 using the exact 136 degree geometry. At the same force, a 0.2 mm diagonal gives HV = 46.35919.

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Frequently asked questions

Should I average hardness from the two diagonals?

Average the diagonal lengths first, then calculate hardness from that mean.

Is HV a pressure?

Its numerical convention corresponds to kgf/mm2. The separate contact-pressure output is expressed in ordinary pressure units.

Does the force conversion depend on local gravity?

No. Standard kilogram-force uses the defined standard acceleration 9.80665 m/s2, regardless of the test location.

Sources

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