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Abbe Number

The Abbe number, also known as the V-number or constringence of a transparent material, is a measure of the material's dispersion (the variation of refractive index versus wavelength), with high values of V indicating low dispersion.

The Abbe number for a substance increases as the ratio of the difference between its refractive index at the wavelength of the Fraunhofer D spectral line and the refractive index of a vacuum grows relative to the difference between its refractive index at the wavelength of the Fraunhofer F and C spectral lines.

Formula

QuantityVariable["V", "AbbeNumber"] == (-1 + QuantityVariable[Subscript["n", "d"], "RefractiveIndex"])/(-QuantityVariable[Subscript["n", "C"], "RefractiveIndex"] + QuantityVariable[Subscript["n", "F"], "RefractiveIndex"])

symbol description physical quantity
V Abbe number "AbbeNumber"
nd refractive index at the wavelength of the Fraunhofer D spectral line "RefractiveIndex"
nC refractive index at the wavelength of the Fraunhofer C spectral line "RefractiveIndex"
nF refractive index at the wavelength of the Fraunhofer F spectral line "RefractiveIndex"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Abbe Number"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Abbe Number"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ResourceObject["Abbe Number"], {QuantityVariable[ \!\(\*SubscriptBox[\("n"\), \("C"\)]\),"RefractiveIndex"] -> 1.35`, QuantityVariable["V","AbbeNumber"] -> 3}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1874

Publisher Information