Convert Planck length to Bohr radius
Please provide values below to convert Planck length [l_P] to Bohr radius [a.u.], or Convert Bohr radius to Planck length.
1 l_P = 3.0543e-25 a.u.. To convert Planck length to Bohr radius, multiply the value by 3.0543e-25; to go the other way, divide by it (1 a.u. = 3.2741e+24 l_P). Both units measure length and appear in everyday as well as technical calculations, so switching between them quickly is often useful.
Quick Reference
- 1 l_P = 3.0543e-25 a.u.
- 1 a.u. = 3.2741e+24 l_P
- 10 l_P = 3.0543e-24 a.u.
- 100 l_P = 3.0543e-23 a.u.
How to Convert Planck Length to Bohr Radius
1 l_P = 3.05427929755702e-25 a.u.
Example: convert 15 l_P to a.u.:
15 l_P = 15 × 3.05427929755702e-25 a.u. = 4.58141894633554e-24 a.u.
Planck Length to Bohr Radius Conversion Table
| Planck length | Bohr radius |
|---|---|
| 1 l_P | 3.0543e-25 a.u. |
| 2 l_P | 6.1086e-25 a.u. |
| 3 l_P | 9.1628e-25 a.u. |
| 5 l_P | 1.5271e-24 a.u. |
| 10 l_P | 3.0543e-24 a.u. |
| 20 l_P | 6.1086e-24 a.u. |
| 50 l_P | 1.5271e-23 a.u. |
| 100 l_P | 3.0543e-23 a.u. |
| 500 l_P | 1.5271e-22 a.u. |
| 1000 l_P | 3.0543e-22 a.u. |
Planck Length
The Planck length is the smallest possible unit of length in the universe, approximately 1.6 x 10⁻³⁵ meters.
History/Origin
The Planck length is derived from fundamental physical constants and is named after the physicist Max Planck. It is a fundamental unit in the system of Planck units.
Current Use
The Planck length is a theoretical concept used in quantum gravity and cosmology to describe phenomena at the smallest scales of the universe.
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.
Frequently Asked Questions
What is 1 Planck length in Bohr radius?
1 Planck length (l_P) = 3.0543e-25 Bohr radius (a.u.).
How do you convert Planck length to Bohr radius?
Multiply the Planck length value by 3.0543e-25. For example, 25 l_P × 3.0543e-25 = 7.6357e-24 a.u..
What is 10 Planck length in Bohr radius?
10 l_P = 3.0543e-24 a.u..
Which unit is larger, the Planck length or the Bohr radius?
The Bohr radius is the larger unit: 1 l_P equals only 3.0543e-25 a.u..