Convert Classical Electron Radius to Inch
Convert classical electron radii to inches instantly. 1 classical electron radius = 1.109425e-13 inch — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Inch to Classical Electron Radius converter for the reverse conversion.
Units explained
Classical Electron Radius
The classical electron radius is approximately 2.818×10⁻¹⁵ meters. It is the radius an electron would have if its mass were entirely electromagnetic and its charge distributed over its surface.
Defined classically in the early 20th century. The CODATA 2018 value of 2.8179403262×10⁻¹⁵ m is derived from the elementary charge, electron rest mass, and the Coulomb constant.
The classical electron radius appears in scattering theory (Thomson scattering cross-section), particle physics estimates, and historical electromagnetism. It is a calculational tool, not the actual size of an electron, which has no measured extent.
Concept dates to the early 20th-century classical electromagnetism; CODATA 2018 provides the current reference value.
Inch
An inch is an Imperial and US customary unit of length defined since 1959 as exactly 25.4 millimeters (0.0254 meters). It is still the standard small unit of length in the United States, the United Kingdom (informally), and a few other countries.
The inch derives from the Roman uncia (one-twelfth of a foot) and survived through Anglo-Saxon and medieval English measurement systems. Various definitions persisted regionally until the 1959 International Yard and Pound Agreement standardized the inch globally as exactly 25.4 mm.
Inches are used in the US and UK for body height, screen sizes (TVs, monitors, phones), tire sizes, plumbing, lumber, paper sizes (US Letter is 8.5 × 11 in), and most consumer product specifications in the United States.
Anglo-Saxon origin (predating 1066); standardized to 25.4 mm exactly by the International Yard and Pound Agreement of 1959, signed by the US, UK, Canada, Australia, New Zealand, and South Africa.
Classical Electron Radius to Inch conversion formula
The relationship between classical electron radii and inches:
To convert classical electron radii to inches, multiply the value in classical electron radii by 1.109425e-13. To reverse, multiply inches by 9.013676e+12.
How to use this converter
Type a value into the calculator. The result in inches updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Inch to Classical Electron Radius converter for the reverse direction.
Step-by-step: convert classical electron radii to inches
- Write down the value in classical electron radii (rₑ).
- Multiply that value by the factor 1.109425e-13.
- The product is the equivalent value in inches (in).
- To reverse, multiply the inch value by 9.013676e+12.
Worked examples
Example 1 — Convert 1 rₑ to in:
1 × 1.109425e-13 = 1.109425e-13 in
Example 2 — Convert 100 rₑ to in:
100 × 1.109425e-13 = 1.109425e-11 in
Real-world example — Sub-micron to millimeter
500,000 classical electron radii converts to a small everyday quantity in inches — useful when relating optical-wavelength specifications to physical mounting hardware.
500000 rₑ × 1.109425e-13 = 5.547127e-8 in
Real-world example — From wavelengths to millimeter-scale objects
A value of one million classical electron radii sounds vast at the atomic scale but converts to a small everyday quantity in inches — useful when relating optical-wavelength specifications to physical mounting hardware.
1000000 rₑ × 1.109425e-13 = 1.109425e-7 in
Classical Electron Radius to Inch conversion table
Standard reference values for converting classical electron radii to inches:
| Classical Electron Radius [rₑ] | Inch [in] |
|---|---|
| 0.01 | 1.109425e-15 |
| 0.1 | 1.109425e-14 |
| 1 | 1.109425e-13 |
| 2 | 2.218851e-13 |
| 3 | 3.328276e-13 |
| 4 | 4.437701e-13 |
| 5 | 5.547127e-13 |
| 10 | 1.109425e-12 |
| 20 | 2.218851e-12 |
| 30 | 3.328276e-12 |
| 40 | 4.437701e-12 |
| 50 | 5.547127e-12 |
| 100 | 1.109425e-11 |
| 500 | 5.547127e-11 |
| 1000 | 1.109425e-10 |
Frequently asked questions
How many inches is 1 classical electron radius?
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Metric / SI (4 units)
Imperial / US Customary (4 units)
Sources & references
Conversion factor (1 rₑ = 1.109425e-13 in) 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.