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Rydberg Formula

The Rydberg formula is used in atomic physics to describe the wavelengths of spectral lines of many chemical elements.

The reciprocal of the photon wavelength equals the product of the atomic number squared, the Rydberg constant and the absolute value of the difference between the squared reciprocals of the principal quantum numbers of the final and initial states.

Formula

QuantityVariable["λ", "LightWavelength"]^(-1) == Abs[QuantityVariable[Subscript["n", "f"], "Unitless"]^(-2) - QuantityVariable[Subscript["n", "i"], "Unitless"]^(-2)]*Quantity[1, "RydbergConstant"]*QuantityVariable["Z", "Unitless"]^2

symbol description physical quantity
λ photon wavelength "LightWavelength"
nf principal quantum number of final state "Unitless"
ni principal quantum number of initial state "Unitless"
Z atomic number "Unitless"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Rydberg Formula"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Rydberg Formula"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ResourceObject["Rydberg Formula"], {QuantityVariable[ \!\(\*SubscriptBox[\("n"\), \("f"\)]\),"Unitless"] -> 1, QuantityVariable["\[Lambda]","LightWavelength"] -> Quantity[91.13`, "Nanometers"], QuantityVariable["Z","Unitless"] -> 1}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 5 November 1888

Publisher Information