Rydberg Calculator

The Rydberg Equation Formula

The formula for the Rydberg equation is:

Where:

• \( \lambda \) is the wavelength of the emitted or absorbed light (in meters).


• \( R_H \) is the Rydberg constant (\( 1.097 \times 10^7 \, \text{m}^{-1} \)).


• \( Z \) is the atomic number (1 for hydrogen, 2 for helium, etc.).


• \( n_1 \) and \( n_2 \) are the principal quantum numbers of the energy levels involved, with \( n_2 > n_1 \).

Understanding Your Results

Your result is a single number that is going to be displayed in nanometers by default. You can change the result unit to other ones by selecting them from the dropdown menu.

How to Use the Rydberg Equation Tool

Our Rydberg equation tool is simple and easy to use. With just a few fields and steps involved, you can get your answer in less than a minute. The steps include:

1. Enter the initial energy level.


2. Enter the final energy level, this must be less than the initial energy level.


3. Enter the atomic number associated with your scenario. By default, this value is set to 1 which is the atomic number for Hydrogen.


4. Hit calculate and get your answer!

Example Calculation

Let's say you are evaluating Hydrogen atoms and have an initial energy level of 3 with a final energy level of 2. We can enter these values into their appropriate fields on our tool, and we can leave the atomic number set to 1 since we are working with hydrogen atoms.

We can now hit calculate and we get an answer of 656.112 nanometers, but if we need this answer in micrometers we can easily convert it to that by selecting that from the dropdown menu. We now have an answer of .656.