Fórmula Rydberg

1/λ = R·(1/n₁² − 1/n₂²).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

λ (m)
0,0000006561 m

About this calculator

The Rydberg Formula is a fundamental equation in quantum physics that describes the relationship between the wavelengths of spectral lines of atoms. It is used to predict the spectral lines of hydrogen and other elements. The formula is based on the idea that electrons in an atom can jump from one energy level to another, emitting or absorbing energy in the form of electromagnetic radiation.

The formula works as follows: 1/λ = R·(1/n₁² − 1/n₂²), where λ is the wavelength of the radiation, R is the Rydberg constant, and n₁ and n₂ are integers representing the initial and final energy levels of the electron. The Rydberg constant is a fundamental value that depends on the chemical element in question. By using this formula, it is possible to calculate the wavelength of a specific spectral line.

The Rydberg Formula is used in real cases, such as in the analysis of atomic spectra and the identification of chemical elements in stars and other celestial bodies. Additionally, it is fundamental to understanding atomic structure and quantum physics. However, care must be taken when using the formula, as small errors in input values can lead to inaccurate results.

It is essential to note that the Rydberg Formula is an approximation and is not valid for all cases. It is most accurate for hydrogen and other elements with few electrons. For more complex atoms, other formulas and methods are necessary to obtain accurate results.

Frequently asked questions

What is the Rydberg constant?

The Rydberg constant is a fundamental value that depends on the chemical element in question and is used in the Rydberg Formula to calculate the wavelength of spectral lines.

How does the Rydberg Formula work?

The formula works by calculating the wavelength of the radiation emitted or absorbed when an electron jumps from one energy level to another, using the equation 1/λ = R·(1/n₁² − 1/n₂²).

What are the limitations of the Rydberg Formula?

The Rydberg Formula is an approximation and is not valid for all cases, especially for more complex atoms with many electrons.

In what cases is the Rydberg Formula used?

The Rydberg Formula is used in real cases, such as in the analysis of atomic spectra and the identification of chemical elements in stars and other celestial bodies.

What are the precautions when using the Rydberg Formula?

It is essential to take care when using the formula, as small errors in input values can lead to inaccurate results.

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