# Bohr Model

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# Bohr Model

# Bohr Model¶

## 1.¶

$$ \large \frac{m_e v^2}{r} = \frac{1}{4 \pi \epsilon_0} \frac{Z e^2}{r^2} $$
## 2.¶

$$ \large L = n \frac{h}{2 \pi} = n\hbar = mvr_n \quad \text{: angular momentum} $$$$ \large mv = \frac{n\hbar}{r_n} \quad \text{: linear momentum} $$
## 3.¶

$$ \large \Delta E = E_2 - E_1 = h \nu $$
## Bohr Radius¶

$$ \large a_0 = \frac{4 \pi \epsilon_0 \hbar^2}{m_e e^2} $$

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