Calculations based on Rydberg Formula

Rydberg formula

The Rydberg formula is a mathematical formula used to predict the wavelength of light resulting from an electron moving between energy levels of an atom.

When an electron changes from one atomic orbital to another, the electron's energy changes. When the electron changes from an orbital with high energy to a lower energy state, a ​photon of light is created. When the electron moves from low energy to a higher energy state, a photon of light is absorbed by the atom.

 If the electron state is characterized by the quantum number n the wavelength is given by the Rydberg formula.

(1/wavelength of the emitted photon) = (Rydberg constant)(1/(integer 1)2 - 1/(integer 2)2)

The equation is:

\[\frac{1}{\lambda }=R \left (\frac{1}{(n_{1})^2}-\frac{1}{(n_{2})^2} \right) \]

with n1 < n2

Where:

R: Rydberg's constant (R=1.097 * 107 m(−1))

λ: Wavelength of the emitted photon

n1: integer 1=N

n2: integer 2=n

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