Rydberg

Definition

Rydberg is a physical constant associated with the wavelengths of spectral lines of many chemical elements. It is denoted by $R_\infty$ and plays a crucial role in the Rydberg Formula to predict atomic spectra.

5 Must Know Facts For Your Next Test

1. The Rydberg constant is approximately $1.097 \times 10^7 \text{m}^{-1}$.
2. It is used in the Rydberg formula: $\frac{1}{\lambda} = R_\infty \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right)$, where $\lambda$ is the wavelength, and $n_1$ and $n_2$ are integers.
3. The Rydberg constant is derived from Bohr's model of the hydrogen atom.
4. It helps explain why spectral lines appear at specific wavelengths for different elements.
5. Johannes Rydberg developed the formula in the late 19th century to describe the spectral lines of hydrogen.

Review Questions

• What is the value of the Rydberg constant?
• How does the Rydberg formula use the constant to predict atomic spectra?
• Who developed the formula that utilizes the Rydberg constant?

Related terms

Bohr Model: A model proposing that electrons orbit an atom's nucleus at specific distances corresponding to particular energy levels.

Spectral Lines: The distinct lines of color, corresponding to particular wavelengths, observed in spectroscopy.

$n$ (Quantum Number): A number that specifies the energy level of an electron in an atom as proposed by quantum mechanics.