My name is Alexander FufaeV and here I will explain the following topic:

# Rydberg Formula: Understanding the Energy Spectrum of the Hydrogen Atom

## Formula

What do the formula symbols mean?

## Binding energy

Unit
Energy required to knock an electron, which is in the $$n$$-th state, out of the hydrogen atom. For example, the binding energy of the electron in the ground state is $$n = 1$$: $$13.6 \, \mathrm{eV}$$.

## Quantum number

Unit
Principal quantum number is an integer indicating an energy level of the H atom. The electron in the H atom can occupy this energy state, which is characterized by $$n$$.

Here is:

• $$n = 1$$ is the ground state.
• $$n = 2$$ is the first excited state.
• $$n = 3$$ is the second excited state.
• and so on...
Explanation

## Video

The Rydberg formula describes the wavelengths $$\lambda$$ of lines in the spectrum of the hydrogen atom. However, it also describes the discrete energy levels $$W$$ of the hydrogen atom:

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