Convert Link to Microinch
Convert links to microinches instantly. 1 link = 7920000.0000000009 microinch — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Microinch to Link converter for the reverse conversion.
Units explained
Link
A link is an Imperial unit of length equal to 7.92 inches (201.168 mm) — exactly 1/100 of a surveyor's chain. It is the smallest unit in the chain-based survey measurement system.
The link was defined by Edmund Gunter in 1620 as part of his 22-yard surveying chain. He divided the chain into 100 links specifically to enable easy decimal arithmetic when computing parcel areas.
Links appear in historical US and UK land survey documents (especially pre-1900). Modern surveyors generally use feet or meters but legacy deed records and government land surveys still cite acreage in chains and links.
Defined by Edmund Gunter in 1620; standardised as 7.92 inches via the chain definition; became exact via the 1959 International Yard and Pound Agreement.
Microinch
A microinch is an Imperial unit of length equal to one millionth of an inch (2.54×10⁻⁸ m). It is used almost exclusively in surface-finish specifications for precision machining and optical components.
The microinch is derived from the inch using the SI-style prefix micro- to denote one millionth. Standardised through the 1959 International Yard and Pound Agreement, which fixed the inch at exactly 25.4 mm.
Microinches express surface roughness (Ra values) in US-based precision manufacturing — typical machined surfaces are 16–125 µin. Optical components and bearing races are often specified to 1–4 µin Ra.
Used in US precision-manufacturing literature throughout the 20th century; value became exact in 1959 when the inch was fixed at 25.4 mm via the International Yard and Pound Agreement.
Link to Microinch conversion formula
The relationship between links and microinches:
To convert links to microinches, multiply the value in links by 7920000.0000000009. To reverse, multiply microinches by 1.262626e-7.
How to use this converter
Type a value into the calculator. The result in microinches updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Microinch to Link converter for the reverse direction.
Step-by-step: convert links to microinches
- Write down the value in links (lk).
- Multiply that value by the factor 7920000.0000000009.
- The product is the equivalent value in microinches (µin).
- To reverse, multiply the microinch value by 1.262626e-7.
Worked examples
Example 1 — Convert 1 lk to µin:
1 × 7920000.0000000009 = 7920000.0000000009 µin
Example 2 — Convert 100 lk to µin:
100 × 7920000.0000000009 = 7.92e+8 µin
Real-world example — Human-scale to atomic dimensions
One link equals one billion microinches — the canonical metric conversion bridging everyday objects and atomic-scale features in physics, chemistry, and electronics.
1 lk × 7920000.0000000009 = 7920000.0000000009 µin
Real-world example — Meter to nanoscale
One link equals one billion microinches. Physics curricula use this conversion to teach orders of magnitude when introducing the electromagnetic spectrum.
1 lk × 7920000.0000000009 = 7920000.0000000009 µin
Link to Microinch conversion table
Standard reference values for converting links to microinches:
| Link [lk] | Microinch [µin] |
|---|---|
| 0.01 | 79200 |
| 0.1 | 792000.0000000001 |
| 1 | 7920000.0000000009 |
| 2 | 1.584e+7 |
| 3 | 2.376e+7 |
| 4 | 3.168e+7 |
| 5 | 3.96e+7 |
| 10 | 7.92e+7 |
| 20 | 1.584e+8 |
| 30 | 2.376e+8 |
| 40 | 3.168e+8 |
| 50 | 3.96e+8 |
| 100 | 7.92e+8 |
| 500 | 3.96e+9 |
| 1000 | 7.92e+9 |
Frequently asked questions
How many microinches is 1 link?
How do I convert links to microinches?
How do I convert microinches back to links?
How many microinches is 100 links?
Popular length unit conversions
Convert Link to other length units
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Metric / SI (4 units)
Imperial / US Customary (26 units)
Sources & references
Conversion factor (1 lk = 7920000.0000000009 µin) verified against the following authoritative sources:
- BIPM — The International System of Units (SI Brochure 9th ed.)
Official BIPM publication defining the seven SI base units (including the meter) and the rules for their use. The global authority on units of measurement.
- NIST — Guide to the SI
US National Institute of Standards and Technology reference covering the SI base and derived units with definitions and usage rules for US technical practice.
- NIST Special Publication 811 — Guide for the Use of the International System of Units
Detailed NIST guide covering exact conversion factors between SI and US customary units along with formatting and rounding conventions.
- NIST — Refinement of values for the yard and pound (Federal Register 1959)
The treaty (signed by US
- International Astronomical Union — System of Astronomical Constants
The IAU defines astronomical units including the AU (149597870700 m exactly) light-year and parsec used in astronomy and astrophysics.