Length · Unit Converter

Convert Square Microinch to Square Thou

Convert square microinches to square thous instantly. 1 square microinch = 1e-6 square thou — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Square Thou to Square Microinch converter for the reverse conversion.

Written by Sunith Babu L, Ph.D., Lead Engineer Reviewed by Girish V Kulkarni Ph.D.
Length category 2 min read Published Last reviewed Updated

Units explained

Imperial / US Customary

Square Microinch

What is a square microinch?

A square microinch is an imperial unit of area equal to 6.4516×10⁻¹⁶ m². It is used in precision-engineering contexts where surface roughness is measured in microinches.

Origin of the square microinch

Derived by squaring the microinch (1 µin = 25.4 nm). Standardized via the 1959 International Yard and Pound Agreement which defined 1 inch = 25.4 mm exactly.

Where it is used

Square microinches appear in surface metrology and high-precision manufacturing in countries that use imperial units, though more often surface roughness is reported as a length parameter (Ra) rather than as an area.

When and where it was developed

Standardized via the 1959 International Yard and Pound Agreement.

Imperial / US Customary

Square Thou

What is a square thou?

A square thou is an imperial unit of area equal to 6.4516×10⁻¹⁰ m², identical to the square mil. The word 'thou' is short for 'thousandth' (of an inch).

Origin of the square thou

Identical in value to the square mil; 'thou' is the British engineering term, 'mil' is the American term. Both refer to 1/1000 of an inch.

Where it is used

Square thous are used in British and Commonwealth engineering contexts where 'thou' is preferred over 'mil', particularly in mechanical engineering tolerance specifications.

When and where it was developed

Standardized via the 1959 International Yard and Pound Agreement.

Square Microinch to Square Thou conversion formula

The relationship between square microinches and square thous:

1 µin² = 1e-6 thou²
1 thou² = 999999.9999999999 µin²

To convert square microinches to square thous, multiply the value in square microinches by 1e-6. To reverse, multiply square thous by 999999.9999999999.

How to use this converter

Type a value into the calculator. The result in square thous updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Square Thou to Square Microinch converter for the reverse direction.

Step-by-step: convert square microinches to square thous

  1. Write down the value in square microinches (µin²).
  2. Multiply that value by the factor 1e-6.
  3. The product is the equivalent value in square thous (thou²).
  4. To reverse, multiply the square thou value by 999999.9999999999.

Worked examples

Example 1 — Convert 1 µin² to thou²:
1 × 1e-6 = 1e-6 thou²

Example 2 — Convert 100 µin² to thou²:
100 × 1e-6 = 0.0001 thou²

Real-world example — Molecular dimensions

The diameter of small molecular structures (around 2 square microinches) is often converted into related sub-micron units when comparing measurements across different microscopy techniques or imaging modalities.

2 µin² × 1e-6 = 2e-6 thou²

Real-world example — Wavelengths across the spectrum

Optical and atomic-scale phenomena are routinely cross-converted between sub-micron units. A photon of wavelength 800 square microinches can be re-expressed in square thous for direct comparison with another instrument's calibration data sheet.

800 µin² × 1e-6 = 0.0008 thou²

Square Microinch to Square Thou conversion table

Standard reference values for converting square microinches to square thous:

Square Microinch [µin²]Square Thou [thou²]
0.011e-8
0.11e-7
11e-6
22e-6
33e-6
44e-6
55e-6
101e-5
202e-5
303e-5
404e-5
505e-5
1000.0001
5000.0005
10000.001

Frequently asked questions

How many square thous is 1 square microinch?
1 square microinch equals 1e-6 square thou.
How do I convert square microinches to square thous?
Multiply the value in square microinches by 1e-6 to get square thous.
How do I convert square thous back to square microinches?
Multiply the value in square thous by 999999.9999999999, or use the Square Thou to Square Microinch converter.
How many square thous is 100 square microinches?
100 square microinches equals 0.0001 square thous, because 100 × 1e-6 = 0.0001.

Convert Square Microinch to other area units

Show all Square Microinch conversions

Sources & references

Conversion factor (1 µin² = 1e-6 thou²) verified against the following authoritative sources:

Results are provided for general reference. Verify critical measurements against an authoritative standard.