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# Rydberg constant

The rydberg constant is named after physicist Janne Rydberg, and is a physical constant discovered when measuring the spectrum of hydrogen, and building upon results from Anders Jonas Ångström and Johann Balmer[?]. Each chemical element has it's own Rydberg constant, but most commonly referred to is the "infinity" constant.

The "infinity" Rydberg constant is:

$R_\infty = 1,097373153 \cdot 10^7 \mathrm{m}^{-1}$

The "infinity" constant appears in the formula:

$R_M = \frac{R_\infty}{1+\frac{m}{M}}$

Which gives the Rydberg constant for a certain atom with one electron with the rest mass $m$ and the atomic nucleus mass $M$. And can be derived from the formula:

$R_\infty = \frac{e^4 m}{8 \epsilon_0^2 h^3 c}$

As the formula for the Rydberg constant contains no less than five other physical constants, namely the elementary charge $e$, the electron rest mass $m$, the permittivity of vacuum $\epsilon_0$, Planck's constant $h$, and the speed of light in vacuum $c$, it is one of the most well-determined physical constants. Measuring the Rydberg constant namely confirms the proportions of the values of the other five constants.

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