Convert Bohr radius to Electron radius (classical)
Please provide values below to convert Bohr radius [a.u.] to Electron radius (classical) [r_e], or Convert Electron radius (classical) to Bohr radius.
1 a.u. = 18778.8650449 r_e. To convert Bohr radius to Electron radius (classical), multiply the value by 18778.8650449; to go the other way, divide by it (1 r_e = 5.32513545206e-05 a.u.). 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. = 18778.8650449 r_e
- 1 r_e = 5.32513545206e-05 a.u.
- 10 a.u. = 187788.650449 r_e
- 100 a.u. = 1877886.50449 r_e
How to Convert Bohr Radius to Electron Radius (Classical)
1 a.u. = 18778.8650449031 r_e
Example: convert 15 a.u. to r_e:
15 a.u. = 15 × 18778.8650449031 r_e = 281682.975673546 r_e
Bohr Radius to Electron Radius (Classical) Conversion Table
| Bohr radius | Electron radius (classical) |
|---|---|
| 1 a.u. | 18778.8650449 r_e |
| 2 a.u. | 37557.7300898 r_e |
| 3 a.u. | 56336.5951347 r_e |
| 5 a.u. | 93894.3252245 r_e |
| 10 a.u. | 187788.650449 r_e |
| 20 a.u. | 375577.300898 r_e |
| 50 a.u. | 938943.252245 r_e |
| 100 a.u. | 1877886.50449 r_e |
| 500 a.u. | 9389432.52245 r_e |
| 1000 a.u. | 18778865.0449 r_e |
Bohr Radius
The Bohr radius is the most probable distance between the proton and the electron in a hydrogen atom in its ground state, 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. It is the atomic unit of length.
Current Use
The Bohr radius is a fundamental constant in atomic physics and is used 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 Bohr radius in Electron radius (classical)?
1 Bohr radius (a.u.) = 18778.8650449 Electron radius (classical) (r_e).
How do you convert Bohr radius to Electron radius (classical)?
Multiply the Bohr radius value by 18778.8650449. For example, 25 a.u. × 18778.8650449 = 469471.626123 r_e.
What is 10 Bohr radius in Electron radius (classical)?
10 a.u. = 187788.650449 r_e.
Which unit is larger, the Bohr radius or the Electron radius (classical)?
The Bohr radius is the larger unit: 1 a.u. = 18778.8650449 r_e.