Question

how do you find Ryderberg constnt?

Answer 1

The Rydberg equation is
1/λ = R∞ x (1/(n1)² - 1/(n2)²)

where..
λ = wavelength of photon emitted or absorbed
R∞ = rydberg constant
n1 and n2 are energy levels of the electrons.

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for the hydrogen atom, R∞ = 1.097x10^7 / m

for other atoms... R depends on the number of electrons AND the mass of the nucleus.


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1/λ = R∞ (1/n1² - 1/n2²)

rearranging..
R∞ = (1/λ) / (1/n1² - 1/n2²)

and some values are...
R∞ = (1/644x10^-9m) / (1/2² - 1/3²) = 1.12x10^7 / m
R∞ = (1/477x10^-9m) / (1/2² - 1/4²) = 1.12x10^7 / m
R∞ = (1/426x10^-9m) / (1/2² - 1/5²) = 1.12x10^7 / m