Rydberg Equation
Tags: #Chemistry #Atomic StructureEquation
$$\Delta E = R_H \left( {\frac{1}{{n_i ^2 }} - \frac{1}{{n_f ^2 }}} \right)$$Latex Code
\Delta E = R_H \left( {\frac{1}{{n_i ^2 }} - \frac{1}{{n_f ^2 }}} \right)
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Introduction
Equation
Latex Code
\Delta E = R_H \left( {\frac{1}{{n_i ^2 }} - \frac{1}{{n_f ^2 }}} \right)
Explanation
Latex code for Rydberg Equation. Rydberg suggested that all atomic spectra formed families with this pattern (he was unaware of Balmer's work). It turns out that there are families of spectra following Rydberg pattern, notably in the alkali metals, sodium, potassium, etc., but not with the precision the hydrogen atom lines fit the Balmer formula, and low values of n2 predicted wavelengths that deviate considerably. The results given by Balmer and Rydberg for the spectrum in the visible region of the electromagnetic radiation start with n2=3, and n1=2.
: Energy E_n
: RH is the Rydberg constant and is equal to 109,737 cm -1 (2.18 × 10 ? 18J)
: n1 and n2 are integers (whole numbers) with n2>n1
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