Optical constants

Refractive index of GdF3 (Gadolinium fluoride)

Franta et al. 2023: n,k 0.120–143 µm

Data
tabulated nk
Range
0.12–142.9 µm
Points
24608
State
polycrystalline
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.12–142.9 µm
Refractive index n
1.5855
Extinction coefficient k
1.95756e-06
Permittivity ε1
2.51381
Permittivity ε2
6.20742e-06
Absorption coefficient α
0.418642 cm⁻¹
Penetration depth δ = λ/(2πk)
4.77735e+07 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.0350066 µm⁻¹
Group index ng
1.60607
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— 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

# GdF3 (Gadolinium fluoride): Franta et al. 2023: n,k 0.120–143 µm
gdf3 = ls.fetch_refractiveindex("main", "GdF3", "Franta", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gdf3.range_nm)  # (119.975, 142878) nm
eps = gdf3.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.

Comments and conditions

Films GdF3; Deposited by thermal evaporation on c-Si; Five samples with a polycrystalline structure and nominal thicknesses 20–600 nm; Multi-sample method; Heterogenous data processing combining ellipsometric and spectrophotometric measurements; Inhomogeneous layers; Optical constants correspond to the thinest film; Room temperature.

Conditions

substrate
c-Si

References

D. Franta, J. Vohánka, J. Dvořák, P. Franta, I. Ohlídal, P. Klapetek, J. Březina, D. Škoda. Optical characterization of gadolinium fluoride films using universal dispersion model. Coatings 13, 218 (2023) (Numerical data kindly provided by Daniel Franta)

Cite

Daniel Franta et al.. Optical Characterization of Gadolinium Fluoride Films Using Universal Dispersion Model. Coatings, 13, 218 (2023), doi:10.3390/coatings13020218; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

24608 rows as published
GdF3 (Gadolinium fluoride), Franta et al. 2023: n,k 0.120–143 µm: n and k versus wavelength
λ (µm)nk
0.1199752.239904457380.0998228273205
0.1200092.238923714570.0991220979318
0.1200442.237943666860.0984240239363
0.1200782.236964312220.0977285984957
0.1201132.235985648650.097035814855
0.1201482.235007674110.0963456663415
0.1201822.234030386590.095658146365
0.1202172.233053784090.0949732484171
0.1202512.232077864590.094290966071
0.1202862.231102626090.0936112929811
0.1203212.23012806660.0929342228828
0.1203552.229154184120.0922597495921
0.120392.228180976670.091587867005
0.1204252.227208442270.0909185690976
0.1204592.226236578940.0902518499257
0.1204942.225265384730.089587703624
0.1205292.224294857660.0889261244065
0.1205632.22332499580.0882671065657
0.1205982.22235579720.0876106444722
0.1206332.221387259930.086956732575
0.1206672.220419382070.0863053654005
0.1207022.219452161710.0856565375525
0.1207372.218485596940.085010243712
0.1207722.217519685870.0843664786367
0.1208062.216554426630.0837252371607
0.1208412.215589817340.0830865141945
0.1208762.214625856150.0824503047242
0.1209112.213662541220.0818166038118
0.1209462.212699870710.0811854065944
0.120982.21173784280.0805567082841
0.1210152.21077645570.0799305041679
0.121052.209815707610.0793067896072
0.1210852.208855596750.0786855600375
0.121122.207896121380.0780668109683
0.1211552.206937279730.0774505379827
0.1211892.205979070090.0768367367371
0.1212242.205021490740.0762254029612
0.1212592.204064539990.0756165324572
0.1212942.203108216150.0750101211001
0.1213292.202152517560.0744061648373
0.1213642.201197442590.073804659688
0.1213992.200242989610.0732056017433
0.1214342.1992891570.0726089871658
0.1214692.198335943190.0720148121896
0.1215042.19738334660.0714230731195
0.1215392.196431365690.0708337663315
0.1215742.195479998940.0702468882717
0.1216092.194529244830.0696624354569
0.1216442.193579101890.0690804044738
0.1216792.192629568640.0685007919789
0.1217142.191680643660.0679235946985
0.1217492.190732325520.0673488094281
0.1217842.189784612820.0667764330324
0.1218192.18883750420.066206462445
0.1218542.187890998310.0656388946684
0.1218892.186945093830.0650737267732
0.1219242.185999789450.0645109558986
0.1219592.185055083910.0639505792516
0.1219942.184110975960.0633925941073
0.122032.183167464380.0628369978081
0.1220652.182224547970.0622837877641
0.12212.181282225560.0617329614523
0.1221352.180340496030.061184516417
0.122172.179399358250.0606384502691
0.1222052.178458811140.0600947606861
0.122242.177518853650.0595534454119
0.1222762.176579484750.0590145022567
0.1223112.175640703450.0584779290965
0.1223462.174702508790.0579437238734
0.1223812.173764899810.0574118845948
0.1224162.172827875640.0568824093336
0.1224522.171891435380.0563552962282
0.1224872.170955578210.0558305434818
0.1225222.170020303320.0553081493625
0.1225572.169085609930.0547881122032
0.1225932.16815149730.0542704304013
0.1226282.167217964730.0537551024185
0.1226632.166285011550.0532421267808
0.1226992.165352637110.0527315020779
0.1227342.164420840830.0522232269637
0.1227692.163489622120.0517173001555
0.1228052.162558980470.0512137204344
0.122842.161628915390.0507124866444
0.1228752.160699426410.0502135976932
0.1229112.159770513140.049717052551
0.1229462.158842175180.0492228502514
0.1229822.15791441220.0487309898902
0.1230172.156987223910.0482414706261
0.1230522.156060610040.0477542916801
0.1230882.155134570380.0472694523354
0.1231232.154209104760.0467869519374
0.1231592.153284213040.0463067898934
0.1231942.152359895140.0458289656726
0.123232.151436150990.0453534788058
0.1232652.150512980610.0448803288854
0.1233012.149590384020.0444095155652
0.1233362.148668361330.0439410385601
0.1233722.147746912650.0434748976465
0.1234072.146826038160.0430110926614
0.1234432.145905738090.0425496235029
0.1234782.144986012710.0420904901297
0.1235142.144066862330.0416336925614
0.1235492.143148287330.0411792308777
0.1235852.142230288120.040727105219
0.123622.141312865160.0402773157857
0.1236562.140396018980.0398298628385
0.1236922.139479750140.0393847466979
0.1237272.138564059260.0389419677446
0.1237632.137648947010.0385015264187
0.1237982.136734414130.0380634232203
0.1238342.135820461380.0376276587087
0.123872.13490708960.0371942335031
0.1239052.133994299680.0367631482816
0.1239412.133082092570.0363344037816
0.1239772.132170469270.0359080007999
0.1240122.131259430840.035483940192
0.1240482.13034897840.0350622228724
0.1240842.129439113120.0346428498145
0.1241192.128529836240.0342258220503
0.1241552.127621149060.0338111406704
0.1241912.126713052940.033398806824
0.1242272.12580554930.0329888217187
0.1242622.124898639630.0325811866204
0.1242982.123992325470.0321759028533
0.1243342.123086608440.0317729717996
0.124372.122181490210.0313723948996
0.1244062.121276972540.0309741736517
0.1244412.120373057230.030578309612
0.1244772.119469746170.0301848043945
0.1245132.118567041320.0297936596709
0.1245492.117664944680.0294048771705
0.1245852.116763458350.0290184586802
0.1246212.115862584510.0286344060442
0.1246562.114962325380.0282527211642
0.1246922.114062683280.0278734059993
0.1247282.11316366060.0274964625657
0.1247642.112265259810.0271218929368
0.12482.111367483430.026749699243
0.1248362.11047033410.0263798836718
0.1248722.109573814510.0260124484676
0.1249082.108677927450.0256473959317
0.1249442.107782675770.0252847284222
0.124982.106888062420.0249244483537
0.1250162.105994090440.0245665581978
0.1250522.105100762930.0242110604825
0.1250882.104208083090.0238579577923
0.1251242.103316054230.0235072527682
0.125162.102424679710.0231589481077
0.1251962.101533963010.0228130465644
0.1252322.100643907680.0224695509483
0.1252682.099754517390.0221284641257
0.1253042.098865795880.0217897890188
0.125342.097977746990.0214535286061
0.1253762.097090374680.0211196859221
0.1254122.096203682970.0207882640571
0.1254482.095317676020.0204592661575
0.1254842.094432358080.0201326954254
0.1255212.093547733480.0198085551188
0.1255572.092663806680.0194868485513
0.1255932.091780582240.0191675790925
0.1256292.090898064840.0188507501673
0.1256652.090016259250.0185363652563
0.1257012.089135170370.0182244278955
0.1257382.088254803190.0179149416766
0.1257742.087375162850.0176079102465
0.125812.086496254580.0173033373077
0.1258462.085618083750.0170012266177
0.1258822.084740655830.0167015819895
0.1259192.083863976430.0164044072911
0.1259552.082988051270.016109706446
0.1259912.082112886230.0158174834324
0.1260272.081238487290.0155277422838
0.1260642.080364860560.0152404870886
0.12612.079492012310.0149557219902
0.1261362.078619948930.014673451187
0.1261732.077748676960.0143936789321
0.1262092.076878203070.0141164095333
0.1262452.076008534070.0138416473535
0.1262822.075139676940.01356939681
0.1263182.07427163880.0132996623749
0.1263542.073404426910.0130324485748
0.1263912.072538048710.012767759991
0.1264272.071672511770.0125056012591
0.1264632.070807823850.0122459770692
0.12652.069943992850.011988892166
0.1265362.069081026860.0117343513483
0.1265732.068218934130.0114823594692
0.1266092.067357723090.0112329214363
0.1266462.066497402330.0109860422109
0.1266822.065637980660.010741726809
0.1267182.064779467030.0104999803002
0.1267552.063921870620.0102608078083
0.1267912.063065200780.0100242145112
0.1268282.062209467070.00979020564039
0.1268642.061354679240.00955878648147
0.1269012.060500847260.00932996237369
0.1269372.059647981310.00910373871005
0.1269742.058796091760.00888012093721
0.1270112.057945189250.00865911455541
0.1270472.05709528460.00844072511844
0.1270842.056246388890.00822495823356
0.127122.055398513420.00801181956138
0.1271572.054551669740.0078013148159
0.1271932.053705869660.00759344976434
0.127232.052861125220.00738823022709
0.1272672.052017448730.0071856620777
0.1273032.051174852790.0069857512427
0.127342.050333350240.0067885037016
0.1273772.049492954230.00659392548679
0.1274132.048653678170.00640202268345
0.127452.04781553580.00621280142944
0.1274872.046978541150.00602626791527
0.1275232.046142708550.00584242838397
0.127562.045308052680.005661289131
0.1275972.044474588540.00548285650417
0.1276342.043642331450.00530713690353
0.127672.042811297120.00513413678126
0.1277072.04198150160.00496386264159
0.1277442.041152961320.00479632104067
0.1277812.040325693090.00463151858647
0.1278172.039499714130.00446946193864
0.1278542.038675042050.00431015780844
0.1278912.037851694910.00415361295858
0.1279282.03702969120.00399983420309
0.1279652.036209049850.00384882840719
0.1280012.035389790280.00370060248719
0.1280382.03457193240.00355516341029
0.1280752.03375549660.00341251819448
0.1281122.032940503820.00327267390837
0.1281492.032126975530.00313563767102
0.1281862.031314933790.0030014166518
0.1282232.030504401230.00287001807021
0.128262.029695401080.0027414491957
0.1282972.028887957250.00261571734751
0.1283332.028082094290.00249282989444
0.128372.027277837460.00237279425468
0.1284072.026475212750.00225561789563
0.1284442.02567424690.00214130833361
0.1284812.024874967480.00202987313373
0.1285182.024077402880.00192131990961
0.1285552.02328158240.00181565632312
0.1285922.022487536240.0017128900842
0.1286292.021695295620.00161302895052
0.1286662.020904892770.00151608072728
0.1287032.020116361050.00142205326686
0.128742.019329734970.00133095446859
0.1287772.018545050290.0012427922784
0.1288152.017762344080.00115757468849
0.1288522.016981654840.00107530973702
0.1288892.016203022570.000996005507757
0.1289262.01542648890.000919670129666
0.1289632.014652097180.000846311776564
0.1292.013879892690.000775938666684
0.1290372.01310992270.000708559062255
0.1290742.012342236740.000644181269048
0.1291112.011576886740.000582813635893
0.1291492.010813927310.000524464554179
0.1291862.010053415960.000469142457316
0.1292232.009295413480.000416855820169
0.129262.008539984250.000367613158454
0.1292972.007787196730.000321423028095
0.1293352.007037123960.000278294024539
0.1293722.006289844250.000238234782016
0.1294092.005545441920.000201253972747
0.1294462.004804008360.000167360306088
0.1294842.004065643260.00013656252759
0.1295212.003330456340.000108869417987
0.1295582.002598569548.42897920623e-05
0.1295952.001870120186.28324973986e-05
0.1296332.001145265474.45064129633e-05
0.129672.000424189392.93204474908e-05
0.1297071.999707114081.72835375911e-05
0.1297451.998994320648.40464546695e-06
0.1297821.998286194532.69275602877e-06
0.1298191.997583368631.56872914548e-07
0.1298571.996887343061.67721053409e-08
0.1298941.996197469491.67923952754e-08
0.1299321.995512636381.68126693037e-08
0.1299691.994832366521.68329312203e-08
0.1300061.994156344841.68531836594e-08
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0.1300811.992816150521.68936669733e-08
0.1301191.992151633151.69139005985e-08
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0.1301941.990833083431.69543569535e-08
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0.1303811.987593225331.70554693568e-08
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0.1306071.983801559191.71768282302e-08
0.1306441.983179028751.71970629389e-08
0.1306821.982559065961.72173009108e-08
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0.1308321.980104106771.72982907182e-08
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0.1310211.977088802241.7399631645e-08
0.1310581.976492548751.74199157806e-08
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0.1312471.973543821241.75214269873e-08
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0.1313231.972379058751.75620766542e-08
0.1313611.971799742171.7582411843e-08
0.1313981.971222440131.7602754117e-08
0.1314361.970647131941.76231035896e-08
0.1314741.970073797431.76434604251e-08
0.1315121.969502416961.7663824781e-08
0.131551.968932971381.76841966461e-08
0.1315881.9683654421.7704576421e-08
0.1316251.96779981061.77249639097e-08
0.1316631.967236059361.77453593839e-08
0.1317011.966674170911.77657630704e-08
0.1317391.966114128241.77861748416e-08
0.1317771.965555914721.78065950166e-08
0.1318151.964999514121.78270235985e-08
0.1318531.96444491051.78474606608e-08
0.1318911.963892088321.78679065121e-08
0.1319291.96334103231.78883610576e-08
0.1319671.962791727521.79088244413e-08
0.1320051.962244159331.79292967682e-08
0.1320431.961698313381.79497781358e-08
0.1320811.961154175591.79702686269e-08
0.1321191.960611732171.79907683945e-08
0.1321571.960070969561.80112773937e-08
0.1321951.959531874461.80317959087e-08
0.1322331.958994433831.80523238369e-08
0.1322711.958458634851.80728613492e-08
0.1323091.957924464921.80934085067e-08
0.1323471.957391911671.81139654815e-08
0.1323851.956860962941.81345321579e-08
0.1324231.956331606781.81551089352e-08
0.1324621.955803831441.81756955693e-08
0.13251.955277625361.81962923715e-08
0.1325381.954752977181.82168992307e-08
0.1325761.954229875691.82375162942e-08
0.1326141.95370830991.82581436376e-08
0.1326521.953188268971.82787814855e-08
0.1326911.952669742241.82994296606e-08
0.1327291.952152719191.83200883267e-08
0.1327671.95163718951.83407576233e-08
0.1328051.951123142951.83614374509e-08
0.1328431.950610569521.83821281038e-08
0.1328821.950099459321.84028294556e-08
0.132921.949589802591.8423541657e-08
0.1329581.949081589731.84442648525e-08
0.1329961.948574811261.84649989812e-08
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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
—