Optical constants

Refractive index of LITHOSIL-Q (obsolete) (SCHOTT)

LITHOSIL-Q (obsolete): n,k 0.25–2.5 µm

Data
formula 2 + tabulated k
Range
0.25–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 250-2325 nm only; k = 0 elsewhere in the n range 250-2500 nm.

At one wavelength

Range 0.25–2.5 µm
Refractive index n
1.45844
Extinction coefficient k
1.87131e-09
Permittivity ε1
2.12704
Permittivity ε2
5.45836e-09
Absorption coefficient α
0.000400196 cm⁻¹
Penetration depth δ = λ/(2πk)
4.99755e+10 nm
Abbe number Vd
67.827
Chromatic dispersion dn/dλ
-0.0352027 µm⁻¹
Group index ng
1.47912
Group velocity dispersion
57.5471 fs²/mm
Dispersion parameter D
-313.95 ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith
import lightsmith as ls

# LITHOSIL-Q (obsolete) (SCHOTT): LITHOSIL-Q (obsolete)
mat = ls.fetch_refractiveindex("specs", "SCHOTT-misc", "LITHOSIL-Q", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (250, 2500) nm
eps = mat.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=0.67071081λ2λ2−0.00449192312+0.433322857λ2λ2−0.0132812976+0.877379057λ2λ2−95.8899878

Valid from 0.25 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C20.67071081
C30.00449192312
C40.433322857
C50.0132812976
C60.877379057
C795.8899878

Comments and conditions

obsolet

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.06e-05 2.51e-08 -2.47e-11 3.12e-07 4.22e-10 0.16
nd
1.45844E+00
Vd
6.78300E+01
glass code
458678.220
glass status
preferred
density
value: 2200
thermal expansion
value: 5e-07, temperature range: 243 343; value: 5.5e-07, temperature range: 293 573
dPgF
-0.0021
resistance
acid: 1.0; stain: 0.0; alkali: 1.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 8.26e-06 K⁻¹ at 633 nm, dn/dT = 7.85e-06 K⁻¹ at 1310 nm, dn/dT = 7.79e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 250-2325 nm only; k = 0 elsewhere in the n range 250-2500 nm

References

Cite

SCHOTT Zemax catalog 2017-01-20b (obtained from http://www.schott.com); See also SCHOTT glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 428 wavelengths, the same grid as the API and the library
LITHOSIL-Q (obsolete) (SCHOTT), LITHOSIL-Q (obsolete): n and k versus wavelength
λ (µm)nk
0.251.5074247.961700e-10
0.2514471.5066468.007784e-10
0.2529021.5058798.054134e-10
0.2543661.5051258.100752e-10
0.2558381.5043828.147641e-10
0.2573191.5036518.194800e-10
0.2588081.5029328.242233e-10
0.261.5023678.280200e-10
0.2603061.5022238.289940e-10
0.2618121.5015258.337923e-10
0.2633281.5008388.386184e-10
0.2648521.5001628.434725e-10
0.2663841.4994968.483546e-10
0.2679261.498848.532650e-10
0.2694771.4981938.582038e-10
0.271.4979788.598700e-10
0.2710361.4975578.631701e-10
0.2726051.496938.681647e-10
0.2741831.4963128.731881e-10
0.275771.4957048.782407e-10
0.2773661.4951048.833225e-10
0.2789711.4945148.884337e-10
0.281.4941418.917100e-10
0.2805861.4939328.935750e-10
0.2822091.4933588.987472e-10
0.2838431.4927939.039493e-10
0.2854861.4922369.091815e-10
0.2871381.4916889.144439e-10
0.28881.4911479.197369e-10
0.291.4907639.235600e-10
0.2904711.4906149.250604e-10
0.2921521.4900889.304148e-10
0.2938431.489579.358002e-10
0.2955441.489069.412167e-10
0.2972541.4885579.466646e-10
0.2989751.4880619.521440e-10
0.31.487779.554100e-10
0.3007051.4875729.576544e-10
0.3024451.487099.631957e-10
0.3041961.4866149.687690e-10
0.3059561.4861459.743746e-10
0.3077271.4856839.800127e-10
0.3095081.4852279.856834e-10
0.311.4851039.872500e-10
0.3112991.4847789.913882e-10
0.3131011.4843359.971265e-10
0.3149131.4838981.002898e-09
0.3167361.4834671.008703e-09
0.3185691.4830421.014541e-09
0.321.4827151.019100e-09
0.3204121.4826221.020414e-09
0.3222671.4822091.026322e-09
0.3241321.4818011.032264e-09
0.3260081.4813981.038240e-09
0.3278951.4810011.044250e-09
0.3297921.480611.050296e-09
0.3317011.4802231.056377e-09
0.3336211.4798421.062492e-09
0.3341.4797681.063700e-09
0.3355521.4794661.068637e-09
0.3374941.4790951.074815e-09
0.3394471.4787291.081029e-09
0.3414121.4783681.087278e-09
0.3433881.4780111.093564e-09
0.3453751.477661.099887e-09
0.3473741.4773131.106246e-09
0.3493841.476971.112641e-09
0.351.4768671.114600e-09
0.3514061.4766321.119082e-09
0.353441.4762991.125563e-09
0.3554861.4759691.132081e-09
0.3575431.4756441.138638e-09
0.3596121.4753241.145232e-09
0.3616941.4750071.151864e-09
0.3637871.4746951.158535e-09
0.3651.4745161.162400e-09
0.3658931.4743861.165238e-09
0.368011.4740821.171972e-09
0.371.4738011.178300e-09
0.370141.4737811.178747e-09
0.3722821.4734841.185580e-09
0.3744371.4731911.192454e-09
0.3766041.4729021.199367e-09
0.3787841.4726161.206320e-09
0.381.4724591.210200e-09
0.3809761.4723351.213303e-09
0.3831811.4720561.220315e-09
0.3853981.4717811.227367e-09
0.3876291.471511.234460e-09
0.3898721.4712421.241594e-09
0.391.4712271.242000e-09
0.3921291.4709771.248791e-09
0.3943981.4707161.256030e-09
0.3966811.4704581.263312e-09
0.3989771.4702031.270636e-09
0.41.4700911.273900e-09
0.4012861.4699511.277989e-09
0.4036081.4697021.285374e-09
0.4051.4695551.289800e-09
0.4059441.4694571.292809e-09
0.4082941.4692141.300296e-09
0.4106571.4689751.307826e-09
0.4130331.4687381.315400e-09
0.4154241.4685041.323017e-09
0.4178281.4682731.330679e-09
0.421.4680681.337600e-09
0.4202461.4680451.338384e-09
0.4226791.467821.346121e-09
0.4251251.4675971.353903e-09
0.4275851.4673771.361731e-09
0.430061.467161.369603e-09
0.4325491.4669451.377521e-09
0.4350521.4667331.385485e-09
0.4361.4666531.388500e-09
0.437571.4665231.393505e-09
0.4401031.4663161.401577e-09
0.442651.4661111.409696e-09
0.4452121.4659091.417862e-09
0.4477881.4657091.426076e-09
0.450381.4655111.434336e-09
0.4529871.4653161.442645e-09
0.4556081.4651231.451001e-09
0.4582451.4649321.459407e-09
0.461.4648071.465000e-09
0.4608971.4647441.467856e-09
0.4635651.4645571.476345e-09
0.4662481.4643731.484883e-09
0.4689461.4641911.493471e-09
0.471661.4640111.502109e-09
0.474391.4638331.510796e-09
0.4771361.4636571.519534e-09
0.4798971.4634831.528322e-09
0.4826741.4633111.537161e-09
0.4854681.4631411.546052e-09
0.4882781.4629731.554994e-09
0.4911041.4628061.563987e-09
0.4939461.4626421.573033e-09
0.4968051.4624791.582131e-09
0.499681.4623191.591281e-09
0.51.4623011.592300e-09
0.5025721.462161.600491e-09
0.5054811.4620021.609754e-09
0.5084061.4618471.619071e-09
0.5113481.4616931.628442e-09
0.5143081.4615411.637868e-09
0.5172851.461391.647347e-09
0.5202781.4612411.656882e-09
0.5232891.4610941.666472e-09
0.5263181.4609481.676117e-09
0.5293641.4608041.685819e-09
0.5324281.4606611.695576e-09
0.5355091.460521.705390e-09
0.5386091.460381.715260e-09
0.5417261.4602421.725188e-09
0.5448611.4601051.735173e-09
0.5461.4600561.738800e-09
0.5480151.459971.745217e-09
0.5511861.4598361.755320e-09
0.5543761.4597031.765481e-09
0.5575851.4595721.775701e-09
0.5608121.4594421.785980e-09
0.5640581.4593131.796319e-09
0.5673221.4591861.806717e-09
0.5706061.459061.817176e-09
0.5739081.4589351.827695e-09
0.577231.4588111.838275e-09
0.581.4587091.847100e-09
0.580571.4586891.848916e-09
0.583931.4585671.859618e-09
0.587311.4584471.870382e-09
0.5907091.4583281.881208e-09
0.5941281.4582111.892097e-09
0.5975661.4580941.903049e-09
0.6010251.4579791.914064e-09
0.6045031.4578641.925143e-09
0.6080021.4577511.936286e-09
0.6115211.4576381.947494e-09
0.615061.4575271.958766e-09
0.618621.4574171.970104e-09
0.621.4573741.974500e-09
0.62221.4573071.981507e-09
0.6258011.4571991.992976e-09
0.6294231.4570922.004512e-09
0.6330661.4569852.016114e-09
0.636731.456882.027784e-09
0.6404151.4567752.039521e-09
0.6441211.4566722.051326e-09
0.6478491.4565692.063199e-09
0.6515991.4564672.075141e-09
0.655371.4563662.087153e-09
0.6591631.4562662.099233e-09
0.661.4562442.101900e-09
0.6629781.4561662.111384e-09
0.6668151.4560682.123605e-09
0.6706741.455972.135897e-09
0.6745561.4558732.148259e-09
0.678461.4557772.160694e-09
0.6823861.4556812.173200e-09
0.6863361.4555862.185779e-09
0.6903081.4554922.198430e-09
0.6943031.4553992.211155e-09
0.6983211.4553062.223953e-09
0.71.4552682.229300e-09
0.7023631.4552142.227051e-09
0.7064281.4551232.223181e-09
0.7105161.4550322.219289e-09
0.7146291.4549422.215374e-09
0.7187651.4548532.211437e-09
0.7229241.4547642.207477e-09
0.7271081.4546762.203494e-09
0.7313171.4545892.199488e-09
0.7355491.4545022.195459e-09
0.7398061.4544152.191407e-09
0.7440881.4543292.187331e-09
0.7483941.4542442.183231e-09
0.7527261.4541592.179108e-09
0.7570821.4540752.174961e-09
0.7614641.4539912.170790e-09
0.7658711.4539082.166595e-09
0.7703031.4538252.162375e-09
0.7747621.4537432.158131e-09
0.7792461.4536612.153863e-09
0.7837561.453582.149569e-09
0.7882921.4534992.145251e-09
0.7928541.4534182.140908e-09
0.7974431.4533382.136540e-09
0.8020581.4532582.132147e-09
0.80671.4531792.127728e-09
0.8113691.45312.123283e-09
0.8160641.4530212.118813e-09
0.8207881.4529432.114317e-09
0.8255381.4528652.109795e-09
0.8303161.4527872.105247e-09
0.8351211.452712.100672e-09
0.8399551.4526332.096071e-09
0.8448161.4525562.091443e-09
0.8497051.452482.086789e-09
0.8546231.4524032.082107e-09
0.8595691.4523272.077399e-09
0.8645441.4522522.072663e-09
0.8695481.4521762.067900e-09
0.874581.4521012.063109e-09
0.8796421.4520262.058291e-09
0.8847331.4519512.053445e-09
0.8898531.4518772.048570e-09
0.8950031.4518032.043668e-09
0.9001831.4517282.038737e-09
0.9053931.4516542.033777e-09
0.9106331.451582.028789e-09
0.9159041.4515072.023772e-09
0.9212041.4514332.018726e-09
0.9265361.451362.013650e-09
0.9318981.4512862.008546e-09
0.9372921.4512132.003411e-09
0.9427171.451141.998247e-09
0.9481731.4510671.993054e-09
0.953661.4509941.987830e-09
0.959181.4509211.982575e-09
0.9647311.4508481.977291e-09
0.9703141.4507751.971976e-09
0.975931.4507021.966630e-09
0.9815781.450631.961253e-09
0.9872591.4505571.955845e-09
0.9929731.4504841.950406e-09
0.998721.4504111.944935e-09
1.00451.4503391.939433e-09
1.010311.4502661.933898e-09
1.016161.4501931.928332e-09
1.022041.450121.922734e-09
1.027961.4500471.917103e-09
1.033911.4499741.911439e-09
1.039891.4499011.905743e-09
1.045911.4498281.900014e-09
1.051961.4497541.894251e-09
1.058051.4496811.888456e-09
1.061.4496571.886600e-09
1.064171.4496071.894030e-09
1.070331.4495341.904993e-09
1.076531.449461.916019e-09
1.082761.4493861.927110e-09
1.089021.4493121.938264e-09
1.095331.4492371.949483e-09
1.101671.4491631.960767e-09
1.108041.4490881.972116e-09
1.114461.4490131.983531e-09
1.120911.4489381.995012e-09
1.127391.4488622.006560e-09
1.133921.4487872.018174e-09
1.140481.4487112.029855e-09
1.147081.4486352.041604e-09
1.153721.4485582.053422e-09
1.16041.4484822.065307e-09
1.167111.4484052.077261e-09
1.173871.4483272.089285e-09
1.180661.448252.101378e-09
1.187491.4481722.113541e-09
1.194371.4480942.125774e-09
1.201281.4480152.138079e-09
1.208231.4479362.150454e-09
1.215231.4478572.162901e-09
1.222261.4477772.175420e-09
1.229331.4476972.188012e-09
1.236451.4476162.200676e-09
1.24361.4475352.213414e-09
1.25081.4474542.226225e-09
1.258041.4473722.239111e-09
1.265321.447292.252071e-09
1.272641.4472072.265106e-09
1.280011.4471242.278217e-09
1.287421.447042.291403e-09
1.294871.4469562.304666e-09
1.302361.4468712.318006e-09
1.30991.4467862.331423e-09
1.317481.44672.344917e-09
1.325111.4466132.358490e-09
1.332781.4465262.372141e-09
1.340491.4464392.385871e-09
1.348251.4463512.399680e-09
1.356051.4462622.413570e-09
1.36391.4461732.427540e-09
1.371791.4460832.441590e-09
1.379731.4459922.455722e-09
1.387721.4459012.469936e-09
1.395751.4458092.484232e-09
1.403831.4457162.498611e-09
1.411951.4456232.513073e-09
1.420121.4455292.527619e-09
1.428341.4454342.542249e-09
1.436611.4453392.556964e-09
1.444921.4452422.571763e-09
1.453291.4451452.586649e-09
1.46171.4450482.601620e-09
1.470161.4449492.616679e-09
1.478671.444852.631824e-09
1.487221.4447492.647057e-09
1.495831.4446482.662378e-09
1.504491.4445462.677788e-09
1.513191.4444432.693287e-09
1.521951.444342.708876e-09
1.531.4442442.723200e-09
1.530761.4442352.871592e-09
1.539621.4441294.598827e-09
1.548531.4440236.336059e-09
1.557491.4439158.083345e-09
1.566511.4438079.840743e-09
1.575571.4436981.160831e-08
1.584691.4435871.338611e-08
1.593861.4434761.517420e-08
1.603091.4433631.697264e-08
1.612371.443251.878149e-08
1.62171.4431352.060080e-08
1.631081.4430192.243064e-08
1.640521.4429032.427108e-08
1.650021.4427852.612217e-08
1.659571.4426652.798397e-08
1.669171.4425452.985654e-08
1.678831.4424243.173995e-08
1.688551.4423013.363427e-08
1.698321.4421773.553954e-08
1.708151.4420523.745585e-08
1.718041.4419263.938324e-08
1.727981.4417984.132179e-08
1.737981.4416694.327156e-08
1.748041.4415394.523261e-08
1.758161.4414074.720501e-08
1.768331.4412744.918883e-08
1.778571.441145.118413e-08
1.788861.4410045.319098e-08
1.799211.4408675.520944e-08
1.809631.4407285.723959e-08
1.82011.4405885.928148e-08
1.830631.4404466.133519e-08
1.841231.4403036.340079e-08
1.851891.4401586.547834e-08
1.86261.4400126.756792e-08
1.873381.4398646.966959e-08
1.884231.4397147.178342e-08
1.895131.4395637.390949e-08
1.90611.439417.604786e-08
1.917131.4392557.819861e-08
1.928231.4390998.036181e-08
1.939391.4389418.253752e-08
1.950611.4387818.472583e-08
1.96191.438628.692680e-08
1.971.4385038.850600e-08
1.973251.4384561.031112e-07
1.984671.4382911.543610e-07
1.996161.4381242.059075e-07
2.007711.4379552.577523e-07
2.019331.4377843.098971e-07
2.031021.4376113.623438e-07
2.042781.4374364.150940e-07
2.05461.4372594.681495e-07
2.066491.4370795.215120e-07
2.078451.4368985.751834e-07
2.090481.4367156.291654e-07
2.102581.4365296.834599e-07
2.114751.4363427.380685e-07
2.126991.4361527.929933e-07
2.13931.435968.482359e-07
2.151681.4357659.037982e-07
2.164131.4355689.596821e-07
2.176661.4353691.015889e-06
2.189251.4351681.072422e-06
2.201921.4349641.129282e-06
2.214671.4347571.186471e-06
2.227481.4345481.243991e-06
2.240381.4343371.301843e-06
2.253341.4341231.360031e-06
2.266381.4339061.418555e-06
2.27951.4336861.477419e-06
2.292691.4334641.536622e-06
2.305961.4332391.596169e-06
2.319311.4330121.656060e-06
2.3251.4329141.681600e-06
2.332731.4327810
2.346231.4325480
2.359811.4323120
2.373471.4320720
2.387211.431830
2.401021.4315850
2.414921.4313360
2.428891.4310850
2.442951.430830
2.457091.4305720
2.471311.4303110
2.485611.4300460
2.51.4297780

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—