# What is Dimensional Formula of Rydberg constant?

Posted in Dimensional Formulae | Email This Post |*Rydberg formula expressed wave number in terms of constant common to all series of lines known as Rydberg constant.*

Rydberg formula defines the relationship of frequencies in one series of lines.**Rydberg formula: N = R [1/(n+a) ^{2} – 1/ (m + b)^{2}]** where N is wave number, R is Rydberg constant; m and n are integers, m is greater than n; and a and b are constants for particular series.

Mathematically,

**Rydberg constant (R) = me ^{4} / 8π ε_{02 } h^{2}**

where

m = electron mass

e = electron charge

ε_{0} = permittivity of free space

h = Planck’s Constant

so putting all the dimensional formulas in the above equation we get

Dimensional formula of Rydberg constant = [M^{1}L^{0}T^{0}] [M^{0}L^{0}A^{1}T^{1}]^{4} / [(M^{-1}L^{-3}T^{4}A^{2})^{2}] [(M^{1}L^{2}T^{-1})^{2}] ]

**Dimensional formula of Rydberg constant = M ^{0}L^{-1}T^{0}**

**SI unit of Rydberg constant is m**

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