The Bohr model of the atom predicted the radius of the lowest-energy electron orbit. It is a physical constant which represents the most probable distance between the electron and the nucleus in a hydrogen atom in its ground state. We denote it by aₒ or rBohr. It is named after the Danish physicist Niels Bohr.
Bohr Radius (ao or rBohr)
The value of the Bohr radius is
| 5.2917721067 * 10-11m |
Value of Bohr Radius In Different Units
Refer to the table given below for the value of Bohr Radius in various units
| ao in | Bohr radius |
| SI units | 5.29×10−11 m |
| Imperial or US units | 2.08×10−9 in |
| Natural units | 2.68×10−4 /eV |
| 3.27×1024 ℓP |
Bohr Radius Formula
Where,
- ao is the Bohr radius.
- me is the rest mass of electron.
- εo is the permittivity of the free space
- h/2π = ħ is the reduced Planck constant.
- c is the velocity of light in a vacuum.
- α is the fine structure constant.
- e is the elementary charge.
Uses of Bohr Radius
Bohr’s radius is only relevant to atoms and ions with a single electron, such as hydrogen. Although the model itself is now obsolete, the Bohr radius for the hydrogen atom is still regarded as an essential physical constant.
RELATED POSTS
View all
