Convert Square Micrometer to Square Femtometer
Convert square micrometers to square femtometers instantly. 1 square micrometer = 1e+18 square femtometer — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Square Femtometer to Square Micrometer converter for the reverse conversion.
Units explained
Square Micrometer
A square micrometer is a metric unit of area equal to 10⁻¹² m² (1 µm × 1 µm). It is widely used in microscopy, semiconductor manufacturing, and cell biology.
Derived by squaring the micrometer (10⁻⁶ m). The micro- prefix comes from the Greek 'mikros' (small).
Square micrometers express the cross-sectional area of cells, semiconductor features, microfluidic channels, and microscopy fields of view. Modern CPU transistors have feature areas of a few nm² to tens of nm².
Micrometer adopted into SI in 1960.
Square Femtometer
A square femtometer is a metric unit of area equal to 10⁻³⁰ m². It is used in nuclear and particle physics to describe interaction cross-sections at the nuclear scale.
Derived by squaring the femtometer (10⁻¹⁵ m), historically known as the fermi after physicist Enrico Fermi.
Square femtometers are equivalent to 0.01 barn. They appear in particle physics literature comparing strong interaction cross-sections and hadron sizes.
Femtometer adopted into SI in 1964; the fermi nomenclature predates this from mid-20th century nuclear physics.
Square Micrometer to Square Femtometer conversion formula
The relationship between square micrometers and square femtometers:
To convert square micrometers to square femtometers, multiply the value in square micrometers by 1e+18. To reverse, multiply square femtometers by 1e-18.
How to use this converter
Type a value into the calculator. The result in square femtometers 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 Femtometer to Square Micrometer converter for the reverse direction.
Step-by-step: convert square micrometers to square femtometers
- Write down the value in square micrometers (µm²).
- Multiply that value by the factor 1e+18.
- The product is the equivalent value in square femtometers (fm²).
- To reverse, multiply the square femtometer value by 1e-18.
Worked examples
Example 1 — Convert 1 µm² to fm²:
1 × 1e+18 = 1e+18 fm²
Example 2 — Convert 100 µm² to fm²:
100 × 1e+18 = 1e+20 fm²
Real-world example — Molecular dimensions
The diameter of small molecular structures (around 2 square micrometers) is often converted into related sub-micron units when comparing measurements across different microscopy techniques or imaging modalities.
2 µm² × 1e+18 = 2e+18 fm²
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 micrometers can be re-expressed in square femtometers for direct comparison with another instrument's calibration data sheet.
800 µm² × 1e+18 = 8e+20 fm²
Square Micrometer to Square Femtometer conversion table
Standard reference values for converting square micrometers to square femtometers:
| Square Micrometer [µm²] | Square Femtometer [fm²] |
|---|---|
| 0.01 | 1e+16 |
| 0.1 | 1e+17 |
| 1 | 1e+18 |
| 2 | 2e+18 |
| 3 | 3e+18 |
| 4 | 4e+18 |
| 5 | 5e+18 |
| 10 | 1e+19 |
| 20 | 2e+19 |
| 30 | 3e+19 |
| 40 | 4e+19 |
| 50 | 5e+19 |
| 100 | 1e+20 |
| 500 | 5e+20 |
| 1000 | 1e+21 |
Frequently asked questions
How many square femtometers is 1 square micrometer?
How do I convert square micrometers to square femtometers?
How do I convert square femtometers back to square micrometers?
How many square femtometers is 100 square micrometers?
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Metric / SI (15 units)
Imperial / US Customary (3 units)
Sources & references
Conversion factor (1 µm² = 1e+18 fm²) 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.