Convert Planck length to Bohr radius
Enter a value below to convert Planck length [l_P] to Bohr radius [a.u.]. Reverse conversion: 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.
Planck Length to Bohr Radius: 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: Definition and Use
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: Definition and Use
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.
Planck Length to Bohr Radius: 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..