Optical constants

Refractive index of SiO2 (Silicon dioxide, Silica, Quartz)

Franta et al. 2016: n,k 0.0248–125 µm

Data
tabulated nk
Range
0.0248–125.1 µm
Points
3704
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.0248–125.1 µm
Refractive index n
1.45865
Extinction coefficient k
0
Permittivity ε1
2.12765
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.0349095 µm⁻¹
Group index ng
1.47916
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

# SiO2 (Silicon dioxide, Silica, Quartz): Franta et al. 2016: n,k 0.0248–125 µm
sio2 = ls.fetch_refractiveindex("main", "SiO2", "Franta", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sio2.range_nm)  # (24.797, 125141) nm
eps = sio2.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

Fused silica SiO2 plate; Thickness 0.405 mm; Heterogenous data processing combining ellipsometric and spectrophotometric measurements with tabulated refractive index data (SCHOTT Lithosil Q2 product sheet) and Palik's tabulated data in EUV (only the spectral distribution of the imaginary part of the susceptibility and not the absolute value was fitted); Room temperature.

References

D. Franta, D. Nečas, I. Ohlídal. A. Giglia. Optical characterization of SiO2 thin films using universal dispersion model over wide spectral range. Proc. SPIE 9890, 989014 (2016) (Numerical data kindly provided by Daniel Franta)
  • doi:10.1117/12.2227580 Optical characterization of SiO <sub>2</sub> thin films using universal dispersion model over wide spectral range, SPIE Proceedings (2016)

Cite

Daniel Franta, David Nečas, Ivan Ohlídal and Angelo Giglia. Optical characterization of SiO <sub>2</sub> thin films using universal dispersion model over wide spectral range. SPIE Proceedings, 9890, 989014 (2016), doi:10.1117/12.2227580; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

3704 rows as published
SiO2 (Silicon dioxide, Silica, Quartz), Franta et al. 2016: n,k 0.0248–125 µm: n and k versus wavelength
λ (µm)nk
0.0247970.938948985180.066160890781
0.02485420.9388148533740.0664037521257
0.02491150.9386802436960.0666466357871
0.02496890.9385451411350.0668895313938
0.02502650.9384095302840.0671324284776
0.02508420.9382733953330.0673753164739
0.0251420.9381367200560.0676181847222
0.02520.9379994878030.0678610224662
0.02525810.9378616814920.0681038188542
0.02531630.9377232835910.0683465629395
0.02537460.9375842761150.068589243681
0.02543310.9374446406070.0688318499433
0.02549180.9373043581320.0690743704978
0.02555050.9371634092620.0693167940227
0.02560940.9370217740620.069559109104
0.02566850.9368794320810.069801304236
0.02572760.9367363623340.070043367822
0.02578690.9365925432910.0702852881753
0.02584640.9364479528590.0705270535199
0.0259060.9363025683710.0707686519911
0.02596570.9361563665670.071010071637
0.02602550.9360093235820.0712513004191
0.02608550.9358614149220.0714923262138
0.02614570.9357126154550.0717331368129
0.02620590.9355628993850.0719737199257
0.02626640.9354122402380.0722140631797
0.02632690.9352606108430.072454154122
0.02638760.9351079833080.0726939802212
0.02644840.9349543290010.0729335288688
0.02650940.9347996185250.0731727873808
0.02657050.9346438217020.0734117429995
0.02663180.9344869075390.0736503828955
0.02669320.9343288442120.0738886941696
0.02675470.9341695990340.0741266638553
0.02681640.9340091384290.0743642789204
0.02687820.9338474279050.0746015262701
0.02694010.9336844320220.0748383927492
0.02700220.9335201143610.0750748651447
0.02706450.9333544374910.0753109301892
0.02712690.9331873629350.0755465745633
0.02718940.9330188511320.0757817848994
0.02725210.9328488614030.0760165477848
0.02731490.9326773519030.0762508497657
0.02737790.9325042795870.0764846773506
0.0274410.9323296001610.0767180170149
0.02750430.9321532680330.0769508552053
0.02756770.9319752362680.0771831783441
0.02763120.9317954565320.0774149728347
0.02769490.9316138790360.0776462250666
0.02775870.9314304524790.0778769214211
0.02782270.9312451239820.0781070482777
0.02788690.9310578390250.0783365920204
0.02795120.9308685413720.0785655390444
0.02801560.9306771729970.0787938757642
0.02808020.9304836740030.0790215886209
0.02814490.9302879825340.0792486640912
0.02820980.9300900346860.0794750886968
0.02827480.92988976440.0797008490136
0.028340.9296871033630.0799259316834
0.02840530.9294819808890.0801503234247
0.02847080.9292743237930.0803740110456
0.02853640.9290640562590.0805969814572
0.02860220.9288510996940.0808192216885
0.02866820.9286353725690.0810407189023
0.02873420.9284167902470.0812614604128
0.02880050.9281952647930.0814814337045
0.02886690.9279707047720.0817006264535
0.02893340.9277430150190.0819190265503
0.02900010.9275120963940.0821366221251
0.0290670.9272778455010.0823534015761
0.0291340.9270401543910.082569353601
0.02920110.9267989102140.082784467231
0.02926850.9265539948460.082998731871
0.02933590.9263052844610.083212137343
0.02940360.9260526490460.0834246739368
0.02947130.9257959518620.0836363324674
0.02953930.9255350488160.0838471043425
0.02960740.925269787750.0840569816408
0.02967560.925000007610.0842659572062
0.0297440.9247255374860.0844740247632
0.02981260.9244461954780.0846811790586
0.02988130.9241617873550.084887416045
0.02995020.9238721049550.0850927331196
0.03001930.9235769242430.0852971294474
0.03008850.9232760029550.0855006064096
0.03015780.9229690776880.0857031682433
0.03022730.9226558602870.0859048229749
0.0302970.9223360333110.0861055838116
0.03036690.922009244310.0863054712515
0.03043690.9216750985560.0865045163275
0.0305070.9213331498030.0867027656488
0.03057740.920982888560.0869002892999
0.03064780.9206237273670.0870971932893
0.03071850.9202549826940.0872936392541
0.03078930.919875853590.0874898757301
0.03086030.9194853986160.0876862878466
0.03093140.919082515820.0878834763163
0.03100270.9186659380890.088082382841
0.03107420.9182342737960.0882844885896
0.03114580.9177861666550.088492126224
0.03121760.9173207768370.0887089625308
0.03128960.9168393463830.0889407005762
0.03136170.9163509223130.0891906923184
0.0314340.9158578595140.0894521055755
0.03150650.9153590881140.0897245378652
0.03157910.9148549082140.090007870969
0.03165190.9143457515250.0903019703558
0.03172490.9138320585540.090606697215
0.0317980.9133142505390.0909219113372
0.03187130.9127927226650.091247471944
0.03194480.9122678434710.0915832379252
0.03201840.9117399561770.0919290678958
0.03209220.9112093805190.0922848202074
0.03216620.9106764146280.0926503529618
0.03224040.9101413367550.093025524041
0.03231470.9096044068160.0934101911599
0.03238920.9090658677510.0938042119377
0.03246380.9085259467130.0942074439887
0.03253870.9079848561130.0946197450274
0.03261370.9074427945390.0950409729866
0.03268890.9068999475670.095470986145
0.03276420.9063564884890.0959096432627
0.03283980.9058125789640.0963568037215
0.03291550.9052683696010.0968123276696
0.03299130.9047240004950.0972760761682
0.03306740.9041796017190.0977479113391
0.03314360.9036352937720.0982276965112
0.033220.9030911879990.0987152963671
0.03329660.9025473869830.0992105770855
0.03337340.9020039849110.0997134064824
0.03345030.9014610679240.100223654147
0.03352740.9009187144420.100741191576
0.03360470.900376995480.101265892297
0.03368220.8998359749480.101797631996
0.03375980.8992957099360.102336288634
0.03383760.8987562509930.102881742554
0.03391560.898217642390.103433876592
0.03399380.8976799223830.103992576174
0.03407220.8971431234560.10455772941
0.03415070.8966072725640.105129227184
0.03422940.896072391370.10570696323
0.03430840.8955384964690.106290834214
0.03438740.895005599610.106880739799
0.03446670.8944737079070.107476582713
0.03454620.8939428240530.108078268801
0.03462580.8934129465180.108685707083
0.03470560.8928840697470.109298809799
0.03478560.892356184350.10991749245
0.03486580.891829277290.110541673838
0.03494620.8913033320630.111171276093
0.03502680.8907783288680.111806224707
0.03510750.8902542447860.112446448553
0.03518840.8897310539360.113091879905
0.03526950.8892087276410.113742454455
0.03535090.8886872345810.114398111323
0.03543230.8881665409410.115058793068
0.0355140.8876466105610.115724445692
0.03559590.8871274050740.116395018641
0.03567790.8866088840420.117070464808
0.03576020.886091005090.117750740531
0.03584260.8855737240350.118435805585
0.03592530.8850569950050.119125623178
0.03600810.8845407705620.119820159942
0.03609110.8840250018180.120519385924
0.03617430.8835096385470.121223274574
0.03625770.8829946292890.121931802734
0.03634130.8824799214630.122644950621
0.0364250.881965461460.123362701819
0.0365090.8814511947470.124085043258
0.03659320.8809370659590.124811965203
0.03667750.8804230189930.125543461235
0.03676210.8799089970950.126279528237
0.03684680.8793949429510.127020166377
0.03693170.8788807987670.127765379093
0.03701690.8783665063530.128515173073
0.03710220.8778520072020.129269558244
0.03718770.8773372425680.130028547753
0.03727350.8768221535420.130792157949
0.03735940.8763066811260.131560408375
0.03744550.8757907663050.132333321745
0.03753180.8752743501170.133110923934
0.03761840.8747573737260.133893243965
0.03770510.8742397784850.134680313991
0.0377920.873721506010.135472169286
0.03787910.8732024982390.136268848232
0.03796640.8726826975070.137070392305
0.0380540.87216204660.137876846066
0.03814170.8716404888290.13868825715
0.03822960.8711179680910.139504676254
0.03831770.8705944289290.140326157132
0.03840610.8700698166030.141152756579
0.03849460.8695440771470.141984534429
0.03858330.8690171574370.142821553543
0.03867230.8684890052540.143663879804
0.03876140.8679595693480.144511582107
0.03885080.8674287995020.145364732354
0.03894040.8668966465990.146223405448
0.03903010.8663630626880.147087679285
0.03912010.8658280010460.147957634748
0.03921030.8652914162530.148833355702
0.03930070.8647532642550.149714928988
0.03939130.8642135024330.150602444416
0.03948210.8636720896770.151495994762
0.03957310.8631289864540.152395675756
0.03966430.8625841548850.153301586082
0.03975570.8620375588120.154213827367
0.03984740.8614891638810.155132504176
0.03993920.8609389376140.156057724002
0.04003130.860386849490.156989597262
0.04012360.8598328710220.157928237282
0.04021610.8592769758420.158873760292
0.04030880.8587191397820.159826285414
0.04040170.8581593409590.160785934648
0.04049490.8575975598630.161752832862
0.04058820.8570337794440.162727107775
0.04068180.8564679852040.163708889945
0.04077560.8559001652860.164698312747
0.04086960.8553303105740.165695512357
0.04096380.8547584147820.16670062773
0.04105820.8541844745580.167713800578
0.04115280.853608489580.168735175345
0.04124770.853030462660.169764899179
0.04134280.8524503998490.170803121903
0.04143810.8518683105370.171849995984
0.04153360.851284207570.172905676494
0.04162940.8506981073520.173970321078
0.04172530.8501100299590.175044089908
0.04182150.8495199992540.17612714564
0.04191790.8489280430020.177219653368
0.04201460.8483341929840.178321780571
0.04211140.8477384851220.17943369706
0.04220850.8471409595930.180555574915
0.04230580.8465416609540.181687588423
0.04240330.8459406382660.182829914015
0.04250110.845337945220.183982730185
0.0425990.8447336402590.185146217418
0.04269720.844127786710.186320558111
0.04279570.8435204529110.187505936475
0.04289430.8429117123370.188702538453
0.04299320.8423016437360.189910551617
0.04309230.8416903312560.191130165059
0.04319170.8410778645760.19236156929
0.04329120.8404643390390.193604956115
0.0433910.8398498557790.194860518513
0.0434910.8392345218580.196128450508
0.04359130.8386184503920.197408947031
0.04369180.8380017606810.198702203772
0.04379250.8373845783380.200008417038
0.04389350.8367670354160.201327783584
0.04399460.8361492705330.202660500454
0.04409610.8355314289970.204006764802
0.04419770.8349136629220.205366773712
0.04429960.8342961313540.206740724007
0.04440170.8336790003760.20812881205
0.04450410.8330624432270.209531233535
0.04460670.8324466404080.210948183273
0.04470950.8318317797790.212379854968
0.04481260.8312180566640.213826440981
0.04491590.8306056739380.215288132089
0.04501940.8299948421170.216765117235
0.04512320.8293857794310.218257583264
0.04522720.8287787119050.219765714658
0.04533150.8281738734160.221289693257
0.0454360.8275715057520.222829697971
0.04554070.8269718586630.224385904485
0.04564570.8263751898890.225958484955
0.04575090.8257817651990.227547607696
0.04585640.8251918583970.22915343686
0.04596210.8246057513350.230776132106
0.04606810.8240237338970.232415848267
0.04617430.8234461039890.234072735001
0.04628070.8228731674930.235746936446
0.04638740.8223052382260.237438590856
0.04649430.8217426378750.239147830238
0.04660150.8211856959150.240874779987
0.04670890.8206347495110.242619558506
0.04681660.820090143410.24438227683
0.04692450.8195522298030.246163038241
0.04703270.8190213681790.247961937884
0.04714110.8184979251520.249779062377
0.04724980.8179822742720.251614489424
0.04735870.8174747958150.253468287422
0.04746790.8169758765530.255340515076
0.04757730.8164859094960.257231221008
0.0476870.8160052936210.259140443375
0.04779690.8155344335730.261068209488
0.04790710.815073739340.263014535436
0.04801750.8146236259130.264979425718
0.04812820.8141845129170.266962872884
0.04823920.8137568242160.268964857181
0.04835040.8133409874990.270985346215
0.04846180.8129374338410.273024294625
0.04857360.8125465972380.275081643764
0.04868550.8121689141190.277157321408
0.04879780.8118048228340.279251241467
0.04891020.8114547631240.281363303734
0.0490230.8111191755570.283493393633
0.0491360.8107985009560.285641382008
0.04924930.8104931797950.287807124928
0.04936280.8102036515770.289990463514
0.04947660.8099303541950.292191223805
0.04959070.8096737232750.294409216642
0.0497050.8094341914950.296644237592
0.04981960.8092121878980.298896066896
0.04993440.809008137180.301164469462
0.05004950.8088224589750.303449194887
0.05016490.8086555671240.305749977515
0.05028050.8085078689340.308066536542
0.05039640.8083797644330.310398576155
0.05051260.8082716456180.312745785714
0.05062910.8081838957040.31510783998
0.05074580.8081168883680.317484399383
0.05086280.8080709869990.319875110338
0.050980.8080465439520.322279605608
0.05109750.8080438998120.324697504705
0.05121530.8080633826670.327128414352
0.05133340.8081053073950.329571928983
0.05145170.8081699749710.332027631291
0.05157030.8082576717910.334495092827
0.05168920.8083686690210.336973874646
0.05180840.8085032219760.339463528001
0.05192780.8086615695250.341963595078
0.05204750.8088439335320.344473609787
0.05216750.8090505183390.346993098589
0.05228770.809281510280.349521581374
0.05240830.8095370772520.352058572375
0.05252910.8098173683280.354603581127
0.05265020.810122513420.357156113469
0.05277160.8104526230060.359715672571
0.05289320.8108077879080.362281760012
0.05301510.8111880791450.364853876875
0.05313730.8115935478370.367431524886
0.05325980.81202422520.370014207567
0.05338260.8124801225990.37260143142
0.05350570.8129612316890.37519270713
0.0536290.8134675246410.377787550786
0.05375260.8139989544470.380385485108
0.05387660.8145554553220.382986040687
0.05400080.8151369432060.385588757234
0.05412520.8157433163520.388193184815
0.054250.8163744560360.390798885088
0.05437510.8170302273640.393405432533
0.05450040.8177104802010.396012415649
0.05462610.8184150502180.398619438142
0.0547520.8191437600690.401226120075
0.05487820.8198964207020.403832098978
0.05500470.820672832810.406437030916
0.05513150.8214727884350.409040591499
0.05525860.8222960727380.411642476826
0.0553860.8231424659380.41424240435
0.05551370.8240117454430.416840113663
0.05564160.8249036881860.419435367168
0.05576990.8258180731910.422027950632
0.05589850.8267546843850.424617673607
0.05602730.8277133137010.427204369682
0.05615650.8286937645020.429787896549
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Showing 2,000 of 3704 rows. Download the CSV for all of them.

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
—