Optical constants

Refractive index of N-ZK7 (SCHOTT)

N-ZK7: n,k 0.3–2.5 µm

Data
formula 2 + tabulated k
Range
0.3–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–2.5 µm
Refractive index n
1.50847
Extinction coefficient k
9.75245e-09
Permittivity ε1
2.27547
Permittivity ε2
2.94225e-08
Absorption coefficient α
0.00208565 cm⁻¹
Penetration depth δ = λ/(2πk)
9.58933e+09 nm
Abbe number Vd
61.188
Chromatic dispersion dn/dλ
-0.0430761 µm⁻¹
Group index ng
1.53378
Group velocity dispersion
73.1082 fs²/mm
Dispersion parameter D
-398.844 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

# N-ZK7 (SCHOTT): N-ZK7
schott_n_zk7 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-ZK7", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_zk7.range_nm)  # (300, 2500) nm
eps = schott_n_zk7.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=1.07715032λ2λ2−0.00676601657+0.168079109λ2λ2−0.0230642817+0.851889892λ2λ2−89.0498778

Valid from 0.3 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.07715032
C30.00676601657
C40.168079109
C50.0230642817
C60.851889892
C789.0498778

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.15e-05 1.73e-08 -8.06e-11 4.32e-07 7.05e-10 0.179
nd
1.50847
Vd
61.19
glass code
508612.249
glass status
standard
density
value: 2490
thermal expansion
value: 4.5e-06, temperature range: 243 343; value: 5.2e-06, temperature range: 293 573
dPgF
-0.0039
resistance
acid: 2.0; stain: 0.0; alkali: 1.2; climatic: 1.0; phosphate: 2.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 5.34e-06 K⁻¹ at 633 nm, dn/dT = 4.86e-06 K⁻¹ at 1310 nm, dn/dT = 4.80e-06 K⁻¹ at 1550 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 423 wavelengths, the same grid as the API and the library
N-ZK7 (SCHOTT), N-ZK7: n and k versus wavelength
λ (µm)nk
0.31.5459123.348500e-06
0.3015981.545323.092752e-06
0.3032051.5447372.835641e-06
0.3048211.5441622.577160e-06
0.3064451.5435942.317302e-06
0.3080781.5430352.056060e-06
0.3097191.5424841.793425e-06
0.311.5423911.748500e-06
0.3113691.541941.640399e-06
0.3130281.5414041.509439e-06
0.3146961.5408761.377781e-06
0.3163731.5403541.245421e-06
0.3180591.539841.112357e-06
0.3197531.5393329.785833e-07
0.321.5392599.591100e-07
0.3214571.5388329.036051e-07
0.323171.5383388.383566e-07
0.3248921.5378527.727605e-07
0.3266231.5373717.068149e-07
0.3283631.5368976.405179e-07
0.3301121.5364295.738676e-07
0.3318711.5359685.068623e-07
0.333641.5355134.394999e-07
0.3341.5354214.257700e-07
0.3354171.5350634.029398e-07
0.3372041.534623.741513e-07
0.3390011.5341823.452095e-07
0.3408071.5337513.161134e-07
0.3426231.5333242.868623e-07
0.3444491.5329042.574554e-07
0.3462841.5324882.278917e-07
0.3481291.5320791.981706e-07
0.3499841.5316741.682911e-07
0.351.531671.680300e-07
0.3518491.5312751.577133e-07
0.3537231.530881.472507e-07
0.3556081.5304911.367324e-07
0.3575031.5301071.261580e-07
0.3594071.5297271.155273e-07
0.3613221.5293521.048399e-07
0.3632481.5289829.409565e-08
0.3651.5286518.431500e-08
0.3651831.5286178.389643e-08
0.3671291.5282567.944422e-08
0.3690851.52797.496829e-08
0.371.5277367.287400e-08
0.3710511.5275487.093484e-08
0.3730281.5272016.728808e-08
0.3750161.5268586.362189e-08
0.3770141.5265195.993616e-08
0.3790231.5261845.623080e-08
0.381.5260235.442800e-08
0.3810421.5258545.282990e-08
0.3830721.5255274.971655e-08
0.3851131.5252044.658661e-08
0.3871651.5248864.343999e-08
0.3892281.5245714.027661e-08
0.391.5244553.909300e-08
0.3913021.524263.820021e-08
0.3933871.5239533.677060e-08
0.3954831.5236493.533338e-08
0.397591.5233493.388849e-08
0.3997081.5230533.243591e-08
0.41.5230133.223600e-08
0.4018381.522763.141288e-08
0.4039791.5224713.045413e-08
0.4051.5223352.999700e-08
0.4061321.5221852.966876e-08
0.4082961.5219032.904108e-08
0.4104711.5216232.841006e-08
0.4126581.5213482.777568e-08
0.4148571.5210752.713791e-08
0.4170671.5208062.649675e-08
0.4192891.5205392.585218e-08
0.421.5204552.564600e-08
0.4215231.5202762.533555e-08
0.4237691.5200162.487780e-08
0.4260271.5197592.441762e-08
0.4282971.5195052.395498e-08
0.4305791.5192542.348988e-08
0.4328731.5190052.302230e-08
0.4351791.518762.255223e-08
0.4361.5186742.238500e-08
0.4374981.5185172.209111e-08
0.4398291.5182772.163384e-08
0.4421731.518042.117414e-08
0.4445291.5178062.071198e-08
0.4468971.5175742.024736e-08
0.4492781.5173451.978027e-08
0.4516721.5171181.931069e-08
0.4540781.5168941.883860e-08
0.4564981.5166731.836400e-08
0.458931.5164531.788687e-08
0.461.5163581.767700e-08
0.4613751.5162371.745361e-08
0.4638341.5160231.705433e-08
0.4663051.5158111.665292e-08
0.4687891.5156011.624937e-08
0.4712871.5153941.584368e-08
0.4737981.5151891.543582e-08
0.4763231.5149861.502578e-08
0.4788611.5147861.461357e-08
0.4814121.5145871.419915e-08
0.4839771.5143911.378253e-08
0.4865561.5141971.336369e-08
0.4891481.5140051.294262e-08
0.4917541.5138151.251930e-08
0.4943741.5136271.209373e-08
0.4970081.5134411.166589e-08
0.4996571.5132571.123578e-08
0.51.5132341.118000e-08
0.5023191.5130751.105558e-08
0.5049951.5128951.091196e-08
0.5076861.5127171.076759e-08
0.5103911.5125411.062244e-08
0.513111.5123671.047652e-08
0.5158441.5121941.032982e-08
0.5185931.5120231.018234e-08
0.5213561.5118541.003408e-08
0.5241341.5116879.885024e-09
0.5269261.5115219.735175e-09
0.5297341.5113579.584528e-09
0.5325561.5111959.433078e-09
0.5353941.5110359.280821e-09
0.5382461.5108769.127753e-09
0.5411141.5107188.973869e-09
0.5439971.5105638.819166e-09
0.5461.5104568.711700e-09
0.5468961.5104088.725989e-09
0.549811.5102568.772474e-09
0.5527391.5101058.819208e-09
0.5556841.5099558.866190e-09
0.5586451.5098078.913422e-09
0.5616211.509668.960906e-09
0.5646141.5095159.008643e-09
0.5676221.5093719.056635e-09
0.5706461.5092299.104882e-09
0.5736871.5090879.153386e-09
0.5767431.5089489.202149e-09
0.5798161.5088099.251171e-09
0.581.5088019.254100e-09
0.5829061.5086729.444635e-09
0.5860111.5085369.648288e-09
0.5891341.5084029.853026e-09
0.5922731.5082691.005886e-08
0.5954281.5081371.026578e-08
0.5986011.5080061.047381e-08
0.601791.5078761.068295e-08
0.6049971.5077481.089320e-08
0.608221.5076211.110457e-08
0.6114611.5074951.131707e-08
0.6147191.507371.153070e-08
0.6179941.5072461.174546e-08
0.621.5071711.187700e-08
0.6212871.5071231.190164e-08
0.6245971.5070011.196503e-08
0.6279251.5068811.202876e-08
0.6312711.5067611.209283e-08
0.6346341.5066431.215724e-08
0.6380151.5065261.222200e-08
0.6414151.5064091.228709e-08
0.6448321.5062941.235254e-08
0.6482681.5061791.241833e-08
0.6517221.5060661.248448e-08
0.6551951.5059531.255098e-08
0.6586851.5058421.261783e-08
0.661.50581.264300e-08
0.6621951.5057311.243928e-08
0.6657231.5056211.211181e-08
0.669271.5055121.178260e-08
0.6728361.5054041.145164e-08
0.6764211.5052971.111891e-08
0.6800251.5051911.078441e-08
0.6836481.5050851.044813e-08
0.6872911.5049811.011006e-08
0.6909531.5048779.770185e-09
0.6946341.5047749.428500e-09
0.6983351.5046729.084994e-09
0.71.5046268.930500e-09
0.7020561.504578.995468e-09
0.7057971.504479.113655e-09
0.7095571.504379.232473e-09
0.7133381.504279.351924e-09
0.7171391.5041729.472011e-09
0.720961.5040749.592738e-09
0.7248011.5039779.714108e-09
0.7286631.503889.836125e-09
0.7325451.5037859.958792e-09
0.7364481.5036891.008211e-08
0.7403721.5035951.020609e-08
0.7443171.5035011.033073e-08
0.7482831.5034081.045603e-08
0.752271.5033151.058200e-08
0.7562781.5032231.070864e-08
0.7603071.5031321.083596e-08
0.7643581.5030411.096395e-08
0.7684311.5029511.109263e-08
0.7725251.5028611.122199e-08
0.7766411.5027721.135204e-08
0.7807791.5026831.148278e-08
0.7849391.5025951.161423e-08
0.7891211.5025071.174637e-08
0.7933261.502421.187921e-08
0.7975531.5023331.201276e-08
0.8018021.5022471.214703e-08
0.8060741.5021611.228201e-08
0.8103691.5020761.241771e-08
0.8146871.5019911.255413e-08
0.8190281.5019071.269128e-08
0.8233911.5018231.282916e-08
0.8277791.5017391.296777e-08
0.8321891.5016561.310712e-08
0.8366231.5015731.324722e-08
0.8410811.5014911.338806e-08
0.8455621.5014091.352965e-08
0.8500671.5013271.367200e-08
0.8545961.5012461.381510e-08
0.859151.5011651.395897e-08
0.8637271.5010841.410361e-08
0.8683291.5010041.424901e-08
0.8729561.5009241.439519e-08
0.8776071.5008441.454215e-08
0.8822831.5007641.468989e-08
0.8869841.5006851.483842e-08
0.891711.5006061.498774e-08
0.8964611.5005281.513785e-08
0.9012381.5004491.528877e-08
0.9060391.5003711.544049e-08
0.9108671.5002931.559301e-08
0.915721.5002161.574635e-08
0.9205991.5001381.590051e-08
0.9255041.5000611.605549e-08
0.9304351.4999841.621129e-08
0.9353931.4999071.636793e-08
0.9403771.499831.652540e-08
0.9453871.4997541.668371e-08
0.9504241.4996771.684286e-08
0.9554881.4996011.700286e-08
0.9605791.4995251.716371e-08
0.9656971.4994491.732542e-08
0.9708421.4993731.748799e-08
0.9760151.4992981.765142e-08
0.9812151.4992221.781573e-08
0.9864431.4991471.798092e-08
0.9916991.4990711.814698e-08
0.9969831.4989961.831393e-08
1.00231.4989211.848176e-08
1.007641.4988451.865050e-08
1.0131.498771.882013e-08
1.01841.4986951.899066e-08
1.023831.498621.916210e-08
1.029281.4985451.933446e-08
1.034771.498471.950774e-08
1.040281.4983951.968193e-08
1.045821.498321.985706e-08
1.05141.4982452.003312e-08
1.0571.4981692.021012e-08
1.061.4981292.030500e-08
1.062631.4980942.085315e-08
1.068291.4980192.203375e-08
1.073981.4979442.322064e-08
1.07971.4978682.441386e-08
1.085461.4977932.561343e-08
1.091241.4977182.681940e-08
1.097061.4976422.803179e-08
1.10291.4975662.925064e-08
1.108781.4974913.047598e-08
1.114681.4974153.170785e-08
1.120621.4973393.294629e-08
1.126591.4972633.419133e-08
1.13261.4971873.544299e-08
1.138631.497113.670133e-08
1.14471.4970343.796637e-08
1.15081.4969573.923816e-08
1.156931.496884.051671e-08
1.163091.4968034.180208e-08
1.169291.4967254.309430e-08
1.175521.4966484.439341e-08
1.181781.496574.569943e-08
1.188081.4964924.701242e-08
1.194411.4964144.833240e-08
1.200771.4963354.965941e-08
1.207171.4962575.099350e-08
1.21361.4961785.233469e-08
1.220071.4960985.368303e-08
1.226571.4960195.503855e-08
1.233111.4959395.640129e-08
1.239681.4958595.777130e-08
1.246281.4957785.914860e-08
1.252921.4956986.053324e-08
1.25961.4956176.192526e-08
1.266311.4955356.332470e-08
1.273061.4954536.473160e-08
1.279841.4953716.614599e-08
1.286661.4952886.756791e-08
1.293511.4952056.899741e-08
1.30041.4951227.043453e-08
1.307331.4950387.187931e-08
1.31431.4949547.333178e-08
1.32131.494877.479199e-08
1.328341.4947847.625998e-08
1.335421.4946997.773580e-08
1.342531.4946137.921948e-08
1.349691.4945278.071106e-08
1.356881.494448.221059e-08
1.364111.4943528.371811e-08
1.371381.4942648.523366e-08
1.378681.4941768.675728e-08
1.386031.4940878.828903e-08
1.393411.4939988.982893e-08
1.400841.4939079.137704e-08
1.40831.4938179.293340e-08
1.415811.4937269.449806e-08
1.423351.4936349.607104e-08
1.430931.4935429.765241e-08
1.438561.4934499.924221e-08
1.446221.4933551.008405e-07
1.453931.4932611.024473e-07
1.461671.4931661.040626e-07
1.469461.4930711.056865e-07
1.477291.4929741.073191e-07
1.485161.4928771.089604e-07
1.493081.492781.106105e-07
1.501031.4926821.122693e-07
1.509031.4925831.139370e-07
1.517071.4924831.156136e-07
1.525151.4923831.172991e-07
1.531.4923221.183100e-07
1.533281.4922811.208188e-07
1.541451.4921791.270714e-07
1.549661.4920771.333573e-07
1.557921.4919731.396767e-07
1.566221.4918691.460298e-07
1.574561.4917641.524167e-07
1.582951.4916581.588377e-07
1.591391.4915511.652928e-07
1.599871.4914431.717824e-07
1.608391.4913341.783065e-07
1.616961.4912251.848654e-07
1.625571.4911141.914592e-07
1.634241.4910031.980882e-07
1.642941.4908912.047525e-07
1.65171.4907782.114523e-07
1.66051.4906632.181878e-07
1.669341.4905482.249592e-07
1.678241.4904322.317666e-07
1.687181.4903152.386104e-07
1.696171.4901962.454906e-07
1.705211.4900772.524074e-07
1.714291.4899572.593611e-07
1.723431.4898352.663519e-07
1.732611.4897132.733799e-07
1.741841.4895892.804453e-07
1.751121.4894642.875484e-07
1.760451.4893382.946894e-07
1.769831.4892113.018684e-07
1.779261.4890833.090856e-07
1.788741.4889543.163413e-07
1.798271.4888233.236357e-07
1.807851.4886913.309689e-07
1.817491.4885583.383412e-07
1.827171.4884233.457527e-07
1.83691.4882883.532038e-07
1.846691.4881513.606946e-07
1.856531.4880123.682252e-07
1.866421.4878723.757960e-07
1.876371.4877313.834072e-07
1.886371.4875893.910588e-07
1.896421.4874453.987513e-07
1.906521.4872994.064847e-07
1.916681.4871534.142594e-07
1.926891.4870044.220754e-07
1.937161.4868554.299332e-07
1.947481.4867034.378327e-07
1.957851.486554.457744e-07
1.968291.4863964.537584e-07
1.971.4863714.550700e-07
1.978771.486245.198217e-07
1.989321.4860825.976334e-07
1.999921.4859236.758598e-07
2.010571.4857627.545030e-07
2.021281.48568.335652e-07
2.032051.4854359.130486e-07
2.042881.4852699.929555e-07
2.053771.4851021.073288e-06
2.064711.4849321.154049e-06
2.075711.4847611.235240e-06
2.086771.4845881.316864e-06
2.097891.4844131.398922e-06
2.109061.4842361.481418e-06
2.12031.4840571.564353e-06
2.13161.4838761.647730e-06
2.142961.4836941.731551e-06
2.154371.4835091.815819e-06
2.165851.4833221.900536e-06
2.177391.4831341.985705e-06
2.188991.4829432.071327e-06
2.200661.482752.157405e-06
2.212381.4825552.243942e-06
2.224171.4823582.330940e-06
2.236021.4821582.418402e-06
2.247931.4819562.506329e-06
2.259911.4817532.594726e-06
2.271951.4815462.683593e-06
2.284061.4813382.772933e-06
2.296231.4811272.862750e-06
2.308461.4809142.953045e-06
2.320761.4806983.043821e-06
2.3251.4806233.075100e-06
2.333131.480483.320264e-06
2.345561.4802593.695264e-06
2.358061.4800364.072263e-06
2.370621.479814.451270e-06
2.383251.4795814.832296e-06
2.395951.479355.215352e-06
2.408711.4791175.600450e-06
2.421551.478885.987599e-06
2.434451.4786416.376811e-06
2.447421.4783996.768097e-06
2.460461.4781547.161468e-06
2.473571.4779067.556934e-06
2.486751.4776557.954508e-06
2.51.4774028.354200e-06

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
—