Convert a.u. of length to Electron radius (classical)
Please provide values below to convert a.u. of length [a.u., b] to Electron radius (classical) [r_e], or Convert Electron radius (classical) to a.u. of length.
1 a.u., b = 18778.8663968 r_e. To convert a.u. of length to Electron radius (classical), multiply the value by 18778.8663968; to go the other way, divide by it (1 r_e = 5.32513506868e-05 a.u., b). Both units measure length and appear in everyday as well as technical calculations, so switching between them quickly is often useful.
Quick Reference
- 1 a.u., b = 18778.8663968 r_e
- 1 r_e = 5.32513506868e-05 a.u., b
- 10 a.u., b = 187788.663968 r_e
- 100 a.u., b = 1877886.63968 r_e
How to Convert A.u. Of Length to Electron Radius (Classical)
1 a.u., b = 18778.866396848 r_e
Example: convert 15 a.u., b to r_e:
15 a.u., b = 15 × 18778.866396848 r_e = 281682.99595272 r_e
A.u. Of Length to Electron Radius (Classical) Conversion Table
| a.u. of length | Electron radius (classical) |
|---|---|
| 1 a.u., b | 18778.8663968 r_e |
| 2 a.u., b | 37557.7327937 r_e |
| 3 a.u., b | 56336.5991905 r_e |
| 5 a.u., b | 93894.3319842 r_e |
| 10 a.u., b | 187788.663968 r_e |
| 20 a.u., b | 375577.327937 r_e |
| 50 a.u., b | 938943.319842 r_e |
| 100 a.u., b | 1877886.63968 r_e |
| 500 a.u., b | 9389433.19842 r_e |
| 1000 a.u., b | 18778866.3968 r_e |
A.u. Of Length
The atomic unit of length, also known as the Bohr radius (a₀), is approximately 5.29 x 10⁻¹¹ meters.
History/Origin
The Bohr radius is named after Niels Bohr, who proposed a model of the atom in 1913 where the electron orbits the nucleus at specific distances. The Bohr radius is the most probable distance between the proton and electron in a hydrogen atom in its ground state.
Current Use
The atomic unit of length is used in atomic physics to simplify calculations and equations.
Electron Radius (Classical)
The classical electron radius is a quantity with the dimension of length, approximately 2.82 x 10⁻¹⁵ meters.
History/Origin
The classical electron radius is a concept from classical physics that attempts to model the electron as a spherical shell of charge. It is not considered the actual size of an electron.
Current Use
The classical electron radius appears in the Thomson scattering cross-section and is a useful length scale in atomic and high-energy physics.
Frequently Asked Questions
What is 1 a.u. of length in Electron radius (classical)?
1 a.u. of length (a.u., b) = 18778.8663968 Electron radius (classical) (r_e).
How do you convert a.u. of length to Electron radius (classical)?
Multiply the a.u. of length value by 18778.8663968. For example, 25 a.u., b × 18778.8663968 = 469471.659921 r_e.
What is 10 a.u. of length in Electron radius (classical)?
10 a.u., b = 187788.663968 r_e.
Which unit is larger, the a.u. of length or the Electron radius (classical)?
The a.u. of length is the larger unit: 1 a.u., b = 18778.8663968 r_e.