Convert Bohr radius to Planck length
Please provide values below to convert Bohr radius [a.u.] to Planck length [l_P], or Convert Planck length to Bohr radius.
1 a.u. = 3.2741e+24 l_P. To convert Bohr radius to Planck length, multiply the value by 3.2741e+24; to go the other way, divide by it (1 l_P = 3.0543e-25 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. = 3.2741e+24 l_P
- 1 l_P = 3.0543e-25 a.u.
- 10 a.u. = 3.2741e+25 l_P
- 100 a.u. = 3.2741e+26 l_P
How to Convert Bohr Radius to Planck Length
1 a.u. = 3.2740948111715e+24 l_P
Example: convert 15 a.u. to l_P:
15 a.u. = 15 × 3.2740948111715e+24 l_P = 4.91114221675726e+25 l_P
Bohr Radius to Planck Length Conversion Table
| Bohr radius | Planck length |
|---|---|
| 1 a.u. | 3.2741e+24 l_P |
| 2 a.u. | 6.5482e+24 l_P |
| 3 a.u. | 9.8223e+24 l_P |
| 5 a.u. | 1.6370e+25 l_P |
| 10 a.u. | 3.2741e+25 l_P |
| 20 a.u. | 6.5482e+25 l_P |
| 50 a.u. | 1.6370e+26 l_P |
| 100 a.u. | 3.2741e+26 l_P |
| 500 a.u. | 1.6370e+27 l_P |
| 1000 a.u. | 3.2741e+27 l_P |
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.
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.
Frequently Asked Questions
What is 1 Bohr radius in Planck length?
1 Bohr radius (a.u.) = 3.2741e+24 Planck length (l_P).
How do you convert Bohr radius to Planck length?
Multiply the Bohr radius value by 3.2741e+24. For example, 25 a.u. × 3.2741e+24 = 8.1852e+25 l_P.
What is 10 Bohr radius in Planck length?
10 a.u. = 3.2741e+25 l_P.
Which unit is larger, the Bohr radius or the Planck length?
The Bohr radius is the larger unit: 1 a.u. = 3.2741e+24 l_P.