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Calculation of Abbe's Number for Glasses |
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:
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