Category:Definitions/Bohr Radius
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This category contains definitions related to Bohr Radius.
Related results can be found in Category:Bohr Radius.
The Bohr radius $a_0$ is approximately equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state.
| \(\ds a_0\) | \(=\) | \(\ds \dfrac {4 \pi \varepsilon_0 \hbar^2} {\E^2 m_\E}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \dfrac {\varepsilon_0 h^2} {\pi \E^2 m_\E}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds \dfrac \hbar {m_\E c \alpha}\) |
where:
- $\varepsilon_0$ denotes the vacuum permittivity
- $h$ denotes Planck's constant
- $\hbar$ denotes the reduced Planck constant
- $m_\E$ denotes the electron rest mass
- $\E$ denotes the elementary charge
- $c$ denotes the speed of light.
- $\alpha$ denotes the fine-structure constant.
| \(\ds a_0\) | \(\approx\) | \(\ds 5 \cdotp 29177 \, 21090 \, 3(80) \times 10^{-11}\) | $\mathrm m$ | |||||||||||
| \(\ds \) | \(\approx\) | \(\ds 5 \cdotp 29177 \, 21090 \, 3(80) \times 10^{-9}\) | $\mathrm {cm}$ |
Source of Name
This entry was named for Niels Henrik David Bohr.
Pages in category "Definitions/Bohr Radius"
The following 3 pages are in this category, out of 3 total.