The following paragraphs list the most important optical and physical
constants for Schott optical glass types BK7, SF11, LaSFN9, BaK1, and
F2. These types are used in most Melles Griot simple lens products
and prisms. Index of refraction and transmission, as well as the most
commonly required chemical characteristics and mechanical constants,
are listed. Further numerical data and a more detailed discussion of
the various testing processes can be found in the Schott Optical
Glass catalog.
The index of refraction data were obtained by using the constants
listed below together with the dispersion formula. The constants
were determined through the index-of-refraction measurements of a
typical melt for each glass type. Note that the dispersion formula
is valid only within the wavelength range listed. It can be used to
interpolate refractive index at other wavelengths within this range
(to a precision of 1 x 10-5 or better), but it
should not be used to extrapolate to wavelengths beyond this range.
Furthermore, the actual melt-to-melt tolerance on the index of
refraction typically is about ±0.001.
|
BK7 Glass
|
Abbé Constant: 64.17
Density:2.51 g/cm-3
Young's Modulus: 8.20 x 109 dynes/mm2
Poisson's Ratio: 0.206
Coefficient of Thermal Expansion (-30° to +70°C): 7.1 x 10-6/°C
Coefficient of Thermal Expansion (20° to 3000°C): 8.3 x 10-6/°C
Stress Birefringence, (Yellow Light): 10 nm/cm
Homogeneity within Melt: ±1x10-4
Striae Grade (MIL-G-174-A): A
Transformation Temperature: 557°C
Climate Resistance: 2
Stain Resistance: 0
Acid Resistance: 1.0
Alkali Resistance: 2.0
Phosphate Resistance: 2.3
Knoop Hardness: 610
Dispersion Constants:
B1 = 1.03961212
B2 = 2.31792344x10-1
B3 = 1.01046945
C1 = 6.00069867x10-3
C2 = 2.00179144x10-2
C3 = 1.03560653x102
|
|
External transmission for 10-mm-thick BK7 glass
|
| Physical Constants of BK7 Glass
|
Wavelength (nm) |
Refractive Index n |
Fraunhofer Designation |
Source |
Spectral Region |
| 351.1 |
1.53894 |
-- |
Ar laser |
UV |
| 363.8
| 1.53649
| --
| Ar laser
| UV
|
| 404.7
| 1.53024
| h
| Hg arc
| Violet |
| 435.8 |
1.52668 |
g |
Hg arc |
Blue |
| 441.6 |
1.52611 |
-- |
HeCd laser |
Blue |
| 457.9 |
1.52461 |
-- |
Ar laser |
Blue |
| 465.8 |
1.52395 |
-- |
Ar laser |
Blue |
| 472.7 |
1.52339 |
-- |
Ar laser |
Blue |
| 476.5 |
1.52309 |
-- |
Ar laser |
Blue |
| 480.0 |
1.52283 |
F' |
Cd arc |
Blue |
| 486.1 |
1.52238 |
F |
H2 arc |
Blue |
| 488.0 |
1.52224 |
-- |
Ar laser |
Blue |
| 496.5 |
1.52165 |
-- |
Ar laser |
Green |
| 501.7 |
1.52130 |
-- |
Ar laser |
Green |
| 514.5 |
1.52049 |
-- |
Ar laser |
Green |
| 532.0 |
1.51947 |
-- |
Nd laser |
Green |
| 546.1 |
1.51872 |
e |
Hg arc |
Green |
| 587.6 |
1.51680 |
d |
He arc |
Yellow |
| 589.3 |
1.51673 |
D |
Na arc |
Yellow |
| 632.8 |
1.51509 |
-- |
HeNe laser |
Red |
| 643.8 |
1.51472 |
C' |
Cd arc |
Red |
| 656.3 |
1.51432 |
C |
H2 arc |
Red |
| 694.3 |
1.51322 |
-- |
Ruby laser |
Red |
| 786.0 |
1.51106 |
-- |
-- |
IR |
| 821.0 |
1.51037 |
-- |
-- |
IR |
| 830.0 |
1.51020 |
-- |
GaAIAs laser |
IR |
| 852.1 |
1.50980 |
s |
Ce arc |
IR |
| 904.0 |
1.50893 |
-- |
GaAS laser |
IR |
| 1014.0 |
1.50731 |
t |
Hg arc |
IR |
| 1060.0 |
1.50669 |
-- |
Nd laser |
IR |
| 1300.0 |
1.50370 |
-- |
InGaAsP laser |
IR |
| 1500.0 |
1.50127 |
-- |
-- |
IR |
| 1550.0 |
1.50065 |
-- |
-- |
IR |
| 1970.1 |
1.49495 |
-- |
Hg arc |
IR |
| 2325.4 |
1.48921 |
-- |
Hg arc |
IR |
|
SF11 Glass
|
Abbé Constant: 25.76
Density: 4.74 g/cm-3
Young's Modulus: 6.60 x 109 dynes/mm2
Poisson's Ratio: 0.235
Coefficient of Thermal Expansion (-30° to +70°C): 6.1 x 10-6/°C
Coefficient of Thermal Expansion (20° to 3000°C): 6.8 x 10-6/°C
Stress Birefringence, (Yellow Light): 10 nm/cm
Melt-to-Melt Mean Index Tolerance: ±0.001
Homogeneity within Melt: ±1 x 10-4
Striae Grade (MIL-G-174-A): A
Transformation Temperature: 505°C
Climate Resistance: 1
Stain Resistance: 0
Acid Resistance: 1.0
Alkali Resistance: 1.2
Phosphate Resistance: 1.0
Knoop Hardness: 450
Dispersion Constants:
B1 = 1.73848403
B2 = 3.11168974x10-1
B3 = 1.17490871
C1 = 1.36068604x10-2
C2 = 6.15960463x10-2
C3 = 1.21922711x102
|
|
External transmission for 10-mm-thick SF11 glass
|
Physical Constants of SF11 Glass
Wavelength (nm) |
Refractive Index n |
Fraunhofer Designation |
Source |
Spectral Region |
| 404.7 |
1.84208 |
h |
Hg arc |
Violet |
| 435.8 |
1.82518 |
g |
Hg arc |
Blue |
| 441.6 |
1.82259 |
-- |
HeCd laser |
Blue |
| 457.9 |
1.81596 |
-- |
Ar laser |
Blue |
| 465.8 |
1.81307 |
-- |
Ar laser |
Blue |
| 472.7 |
1.81070 |
-- |
Ar laser |
Blue |
| 476.5 |
1.80946 |
-- |
Ar laser |
Blue |
| 480.0 |
1.80834 |
F' |
Cd arc |
Blue |
| 486.1 |
1.80645 |
F |
H2 arc |
Blue |
| 488.0 |
1.80590 |
-- |
Ar laser |
Blue |
| 496.5 |
1.80347 |
-- |
Ar laser |
Green |
| 501.7 |
1.80205 |
-- |
Ar laser |
Green |
| 514.5 |
1.79880 |
-- |
Ar laser |
Green |
| 532.0 |
1.79479 |
-- |
Nd laser |
Green |
| 546.1 |
1.79190 |
e |
Hg arc |
Green |
| 587.6 |
1.78472 |
d |
He arc |
Yellow |
| 589.3 |
1.78446 |
D |
Na arc |
Yellow |
| 632.8 |
1.77862 |
-- |
HeNe laser |
Red |
| 643.8 |
1.77734 |
C' |
Cd arc |
Red |
| 656.3 |
1.77599 |
C |
H2 arc |
Red |
| 694.3 |
1.77231 |
-- |
Ruby laser |
Red |
| 786.0 |
1.76558 |
-- |
-- |
IR |
| 821.0 |
1.76359 |
-- |
-- |
IR |
| 830.0 |
1.76311 |
-- |
GaAIAs laser |
IR |
| 852.1 |
1.76200 |
s |
Ce arc |
IR |
| 904.0 |
1.75970 |
-- |
GaAs laser |
IR |
| 1014.0 |
1.75579 |
t |
Hg arc |
IR |
| 1060.0 |
1.75445 |
-- |
Nd laser |
IR |
| 1300.0 |
1.74901 |
-- |
InGaAsP laser |
IR |
| 1500.0 |
1.74554 |
-- |
-- |
IR |
| 1550.0 |
1.74474 |
-- |
-- |
IR |
| 1970.1 |
1.73843 |
-- |
Hg arc |
IR |
| 2325.4 |
1.73294 |
-- |
Hg arc |
IR |
|
LaSFN9 Glass
Abbé Constant: 32.17
Density: 4.44 g/cm-3
Young's Modulus: 1.09 x 1010 dynes/mm2
Poisson's Ratio: 0.286
Coefficient of Thermal Expansion (-30° to +70°C): 7.4 x 10-6/°C
Coefficient of Thermal Expansion (20 °to 3000°C): 8.4 x 10-6/°C
Stress Birefringence, (Yellow Light): 10 nm/cm
Melt-to-Melt Mean Index Tolerance: ±0.002
Homogeneity within Melt: ±1 x 10-4
Striae Grade (MIL-G-174-A): A
Transformation Temperature: 703°C
Climate Resistance: 2
Stain Resistance: 0
Acid Resistance: 2.0
Alkali Resistance: 1.0
Phosphate Resistance: 1.0
Knoop Hardness: 630
Dispersion Constants:
B1 = 1.97888194
B2 = 3.20435298x10-1
B3 = 1.92900751
C1 = 1.18537266x10-2
C2 = 5.27381770x10-2
C3 = 1.66256540x102
|
|
External transmission for 10-mm-thick LaSFN9 glass
|
Physical Constants of LaSFN9 Glass
Wavelength (nm) |
Refractive Index n |
Fraunhofer Designation |
Source |
Spectral Region |
| 404.7 |
1.89844 |
h |
Hg arc |
Violet |
| 435.8 |
1.88467 |
g |
Hg arc |
Blue |
| 441.6 |
1.88253 |
-- |
HeCd laser |
Blue |
| 457.9 |
1.87700 |
-- |
Ar laser |
Blue |
| 465.8 |
1.87458 |
-- |
Ar laser |
Blue |
| 472.7 |
1.87259 |
-- |
Ar laser |
Blue |
| 476.5 |
1.87153 |
-- |
Ar laser |
Blue |
| 480.0 |
1.87059 |
F' |
Cd arc |
Blue |
| 486.1 |
1.86899 |
F |
H2 arc |
Blue |
| 488.0 |
1.86852 |
-- |
Ar laser |
Blue |
| 496.5 |
1.86645 |
-- |
Ar laser |
Green |
| 501.7 |
1.86524 |
-- |
Ar laser |
Green |
| 514.5 |
1.86245 |
-- |
Ar laser |
Green |
| 532.0 |
1.85901 |
-- |
Nd laser |
Green |
| 546.1 |
1.85651 |
e |
Hg arc |
Green |
| 587.6 |
1.85025 |
d |
He arc |
Yellow |
| 589.3 |
1.85002 |
D |
Na arc |
Yellow |
| 632.8 |
1.84489 |
-- |
HeNe laser |
Red |
| 643.8 |
1.84376 |
C' |
Cd arc |
Red |
| 656.3 |
1.84256 |
C |
H2 arc |
Red |
| 694.3 |
1.83928 |
-- |
Ruby laser |
Red |
| 786.0 |
1.83323 |
-- |
-- |
IR |
| 821.0 |
1.83142 |
-- |
-- |
IR |
| 830.0 |
1.83098 |
-- |
GaAIAs laser |
IR |
| 852.1 |
1.82997 |
s |
Ce arc |
IR |
| 904.0 |
1.82785 |
-- |
GaAS laser |
IR |
| 1014.0 |
1.82420 |
t |
Hg arc |
IR |
| 1060.0 |
1.82293 |
-- |
Nd laser |
IR |
| 1300.0 |
1.81764 |
-- |
InGaAsP laser |
IR |
| 1500.0 |
1.81412 |
-- |
-- |
IR |
| 1550.0 |
1.81329 |
-- |
-- |
IR |
| 1970.1 |
1.80657 |
-- |
Hg arc |
IR |
| 2325.4 |
1.80055 |
-- |
Hg arc |
IR |
|
BaK1 Glass
Abbé Constant: 57.55
Density: 3.19 g/cm-3
Young's Modulus: 7.30 x 109 dynes/mm2
Poisson's Ratio: 0.252
Coefficient of Thermal Expansion (-30° to +70°C): 7.6 x 10-6/°C
Coefficient of Thermal Expansion (20° to 3000°C): 8.6 x 10-6/°C
Stress Birefringence, (Yellow Light): 10 nm/cm
Melt-to-Melt Mean Index Tolerance: ±0.001
Homogeneity within Melt: ±1 x 10-4
Striae Grade (MIL-G-174-A): A
Transformation Temperature: 592°C
Climate Resistance: 2
Stain Resistance: 1
Acid Resistance: 3.3
Alkali Resistance: 1.2
Phosphate Resistance: 2.0
Knoop Hardness: 530
Dispersion Constants:
B1 = 1.12365662
B2 = 3.09276848x10-1
B3 = 8.81511957x10-1
C1 = 6.44742752x10-3
C2 = 2.22284402x10-2
C3 = 1.07297751x102
|
|
External transmission for 10-mm-thick LaSFN9 glass
|
Physical Constants of BAK1 Glass
Wavelength (nm) |
Refractive Index n |
Fraunhofer Designation |
Source |
Spectral Region |
| 351.1 |
1.60062 |
-- |
Ar laser |
UV |
| 363.8 |
1.59744 |
-- |
Ar laser |
UV |
| 404.7 |
1.58941 |
h |
Hg arc |
Violet |
| 435.8 |
1.58488 |
g |
Hg arc |
Blue |
| 441.6 |
1.58415 |
-- |
HeCd laser |
Blue |
| 457.9 |
1.58226 |
-- |
Ar laser |
Blue |
| 465.8 |
1.58141 |
-- |
Ar laser |
Blue |
| 472.7 |
1.58071 |
-- |
Ar laser |
Blue |
| 476.5 |
1.58034 |
-- |
Ar laser |
Blue |
| 480.0 |
1.58000 |
F' |
Cd arc |
Blue |
| 486.1 |
1.57943 |
F |
H2 arc |
Blue |
| 488.0 |
1.57927 |
-- |
Ar laser |
Blue |
| 496.5 |
1.57852 |
-- |
Ar laser |
Green |
| 501.7 |
1.57809 |
-- |
Ar laser |
Green |
| 514.5 |
1.57707 |
-- |
Ar laser |
Green |
| 532.0 |
1.57580 |
-- |
Nd laser |
Green |
| 546.1 |
1.57487 |
e |
Hg arc |
Green |
| 587.6 |
1.57250 |
d |
He arc |
Yellow |
| 589.3 |
1.57241 |
D |
Na arc |
Yellow |
| 632.8 |
1.57041 |
-- |
HeNe laser |
Red |
| 643.8 |
1.56997 |
C' |
Cd arc |
Red |
| 656.3 |
1.56949 |
C |
H2 arc |
Red |
| 694.3 |
1.56816 |
-- |
Ruby laser |
Red |
| 786.0 |
1.56564 |
-- |
-- |
IR |
| 821.0 |
1.56485 |
-- |
-- |
IR |
| 830.0 |
1.56466 |
-- |
GaAIAs laser |
IR |
| 852.1 |
1.56421 |
s |
Ce arc |
IR |
| 904.0 |
1.56325 |
-- |
GaAS laser |
IR |
| 1014.0 |
1.56152 |
t |
Hg arc |
IR |
| 1060.0 |
1.56088 |
-- |
Nd laser |
IR |
| 1300.0 |
1.55796 |
-- |
InGaAsP laser |
IR |
| 1500.0 |
1.55575 |
-- |
-- |
IR |
| 1550.0 |
1.55520 |
-- |
-- |
IR |
| 1970.1 |
1.55032 |
-- |
Hg arc |
IR |
| 2325.4 |
1.54556 |
-- |
Hg arc |
IR |
|
F2 Glass
Abbé Constant: 36.37
Density: 3.61 g/cm-3
Young's Modulus: 5.70 x 109 dynes/mm2
Poisson's Ratio: 0.220
Coefficient of Thermal Expansion (-30° to +70°C): 8.2x10-6/°C
Coefficient of Thermal Expansion (20° to 3000°C): 9.2 x 10-6/°C
Stress Birefringence, (Yellow Light): 10 nm/cm
Melt-to-Melt Mean Index Tolerance: ±0.001
Homogeneity within Melt: ±1 x 10-4
Striae Grade (MIL-G-174-A): A
Transformation Temperature: 438°C
Climate Resistance: 1
Stain Resistance: 0
Acid Resistance: 1.0
Alkali Resistance: 1.3
Phosphate Resistance: 1.3
Knoop Hardness: 420
Dispersion Constants:
B1 = 1.34533359
B2 = 2.09073176x10-1
B3 = 9.37357162x10-1
C1 = 9.97743871x10-3
C2 = 4.70450767x10-2
C3 = 1.11886764x102
|
|
External transmission for 10-mm-thick F2 glass
|
Physical Constants of F2 Glass
Wavelength (nm) |
Refractive Index n |
Fraunhofer Designation |
Source |
Spectral Region |
| 351.1 |
1.67359 |
-- |
Ar laser |
UV |
| 363.8 |
1.66682 |
-- |
Ar laser |
UV |
| 404.7 |
1.65064 |
h |
Hg arc |
Violet |
| 435.8 |
1.64202 |
g |
Hg arc |
Blue |
| 441.6 |
1.64067 |
-- |
HeCd laser |
Blue |
| 457.9 |
1.63718 |
-- |
Ar laser |
Blue |
| 465.8 |
1.63564 |
-- |
Ar laser |
Blue |
| 472.7 |
1.63437 |
-- |
Ar laser |
Blue |
| 476.5 |
1.63370 |
-- |
Ar laser |
Blue |
| 480.0 |
1.63310 |
F' |
Cd arc |
Blue |
| 486.1 |
1.63208 |
F |
H2 arc |
Blue |
| 488.0 |
1.63178 |
-- |
Ar laser |
Blue |
| 496.5 |
1.63046 |
-- |
Ar laser |
Green |
| 501.7 |
1.62969 |
-- |
Ar laser |
Green |
| 514.5 |
1.62790 |
-- |
Ar laser |
Green |
| 532.0 |
1.62569 |
-- |
Nd laser |
Green |
| 546.1 |
1.62408 |
e |
Hg arc |
Green |
| 587.6 |
1.62004 |
d |
He arc |
Yellow |
| 589.3 |
1.61989 |
D |
Na arc |
Yellow |
| 632.8 |
1.61656 |
-- |
HeNe laser |
Red |
| 643.8 |
1.61582 |
C' |
Cd arc |
Red |
| 656.3 |
1.61503 |
C |
H2 arc |
Red |
| 694.3 |
1.61288 |
-- |
Ruby laser |
Red |
| 786.0 |
1.60889 |
-- |
-- |
IR |
| 821.0 |
1.60768 |
-- |
-- |
IR |
| 830.0 |
1.60739 |
-- |
GaAIAs laser |
IR |
| 852.1 |
1.60671 |
s |
Ce arc |
IR |
| 904.0 |
1.60528 |
-- |
GaAS laser |
IR |
| 1014.0 |
1.60279 |
t |
Hg arc |
IR |
| 1060.0 |
1.60190 |
-- |
Nd laser |
IR |
| 1300.0 |
1.59813 |
-- |
InGaAsP laser |
IR |
| 1500.0 |
1.59550 |
-- |
-- |
IR |
| 1550.0 |
1.59487 |
-- |
-- |
IR |
| 1970.1 |
1.58958 |
-- |
Hg arc |
IR |
| 2325.4 |
1.58465 |
-- |
Hg arc |
IR |
|