Calculation of Abbe's Number for Glasses

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Influences of selected glass component additions on Abbe's number of a specific base glass (click image to enlarge)
Influences of selected glass component additions on Abbe's number of a specific base glass, calculated from models for the refractive index and the dispersion. The diagram will change non-linearly for other base glasses. (click image to enlarge)


Abbe's number, ν, is calculated from the refractive index, n, and the dispersion, nF–nC, according to various equations. The common ones are:


Definition of Abbe's Number


The subscribts indicate standard wavelengths, λ, at which n is determined, e.g., nD is measured at 589.3 nm:


λ in nm

Fraunhofer's symbol

Light source

Color

365.01

i

Hg

UV

404.66

h

Hg

violet

435.84

g

Hg

blue

479.19

F'

Cd

blue

486.13

F

H

blue

546.07

e

Hg

green

587.56

d

He

yellow

589.3

D

Na

yellow

643.85

C'

Cd

red

656.27

C

H

red

706.52

r

He

red

768.2

A'

K

red

852.11

s

Cs

IR

1013.98

t

Hg

IR

Reference: L. D. Pye, V. D. Frechette, N. J. Kreidl: "Borate Glasses"; Plenum Press, New York, 1977