Optical constants

Refractive index of Ta2O5 (Tantalum pentoxide)

Franta et al. 2025: Polycrystalline; n,k 0.116–400 µm

Data
tabulated nk
Range
0.116–400.3 µm
Points
3539
State
polycrystalline
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.116–400.3 µm
Refractive index n
2.13261
Extinction coefficient k
1.99882e-06
Permittivity ε1
4.54803
Permittivity ε2
8.52543e-06
Absorption coefficient α
0.427467 cm⁻¹
Penetration depth δ = λ/(2πk)
4.67872e+07 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.264897 µm⁻¹
Group index ng
2.28826
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

# Ta2O5 (Tantalum pentoxide): Franta et al. 2025: Polycrystalline; n,k 0.116–400 µm
ta2o5 = ls.fetch_refractiveindex("main", "Ta2O5", "Franta-2025", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ta2o5.range_nm)  # (115.976, 400286) nm
eps = ta2o5.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 Ta2O5; Deposited by e-beam evaporation on c-Si; Five samples with a polycrystalline structure and nominal thicknesses 20–250 nm; Multi-sample method; Heterogenous data processing combining ellipsometric and spectrophotometric measurements; Slightly inhomogeneous layers; Optical constants correspond to the characterization with homogeneous films; Room temperature.

References

D. Franta, J. Vohánka, J. Dvořák, P. Franta, I. Ohlídal, P. Klapek, J. Březina, D. Škoda. Wide spectral range optical characterization of tantalum pentoxide (Ta2O5) films by the universal dispersion model. Opt. Mater. Express 15, 903–919 (2025) (Numerical data kindly provided by Daniel Franta)
  • doi:10.1364/ome.550708 Wide spectral range optical characterization of tantalum pentoxide (Ta <sub>2</sub> O <sub>5</sub> ) films by the universal dispersion model, Optical Materials Express (2025)

Cite

Daniel Franta et al.. Wide spectral range optical characterization of tantalum pentoxide (Ta <sub>2</sub> O <sub>5</sub> ) films by the universal dispersion model. Optical Materials Express, 15, 903 (2025), doi:10.1364/ome.550708; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

3539 rows as published
Ta2O5 (Tantalum pentoxide), Franta et al. 2025: Polycrystalline; n,k 0.116–400 µm: n and k versus wavelength
λ (µm)nk
0.1159761.955256120111.12287306552
0.1162441.956038680861.11502959556
0.1165121.956674082021.10727930391
0.116781.957166381371.09962463795
0.117051.957519636511.09206787624
0.1173191.957737898221.08461113282
0.117591.957825204241.07725636173
0.1178611.957785573431.07000536161
0.1181331.957623000421.06285978052
0.1184051.957341450541.05582112078
0.1186781.95694485521.04889074395
0.1189511.95643710771.04206987579
0.1192261.955822059261.03535961133
0.1195011.955103515551.02876091988
0.1197761.954285233481.02227465006
0.1200521.953370918331.01590153482
0.1203291.952364221181.00964219637
0.1206061.951268736671.00349715111
0.1208841.950088001030.997466814425
0.1211631.948825490360.991551505468
0.1214421.947484619150.985751451799
0.1217221.946068739110.980066793953
0.1220031.944581138150.974497589891
0.1222841.94302503960.969043819342
0.1225661.941403601660.963705388025
0.1228491.939719916940.958482131745
0.1231321.937977012270.953373820373
0.1234161.936177848640.948380161687
0.12371.934325321260.943500805086
0.1239851.932422259740.938735345175
0.1242711.93047142850.934083325216
0.1245571.928475527140.929544240445
0.1248451.926437191030.925117541261
0.1251321.924358991950.920802636282
0.1254211.922243438810.916598895272
0.125711.920092978470.912505651943
0.1261.917909996570.908522206631
0.126291.91569681850.904647828844
0.1265811.913455710370.900881759701
0.1268731.911188880030.897223214241
0.1271661.908898478130.893671383627
0.1274591.906586599250.890225437237
0.1277531.9042552830.886884524639
0.1280471.901906515160.883647777474
0.1283421.899542228890.880514311232
0.1286381.897164305860.877483226923
0.1289351.894774577480.874553612666
0.1292321.892374826090.871724545181
0.129531.889966786130.868995091191
0.1298281.887552145370.866364308746
0.1301281.885132546080.86383124846
0.1304281.882709586250.861394954675
0.1307281.880284820710.859054466553
0.131031.877859762370.856808819087
0.1313321.875435883320.854657044059
0.1316351.873014615980.852598170922
0.1319381.870597354260.850631227621
0.1322421.868185454620.848755241369
0.1325471.865780237190.846969239346
0.1328531.863382986830.845272249365
0.1331591.860994954160.843663300472
0.1334661.858617356650.842141423513
0.1337731.856251379530.840705651643
0.1340821.853898176870.8393550208
0.1343911.851558872490.838088570137
0.1347011.849234560890.836905342414
0.1350111.84692630820.835804384358
0.1353221.844635153070.834784746986
0.1356341.84236210750.833845485894
0.1359471.840108157740.832985661526
0.136261.837874265060.832204339401
0.1365751.835661366610.831500590327
0.1368891.833470376130.830873490579
0.1372051.831302184750.830322122064
0.1375211.829157661740.829845572456
0.1378381.827037655140.829442935316
0.1381561.824942992530.829113310193
0.1384751.822874481670.828855802705
0.1387941.820832911130.828669524609
0.1391141.818819050920.828553593848
0.1394341.816833653130.828507134592
0.1397561.814877452470.828529277262
0.1400781.812951166840.828619158546
0.1404011.811055497930.828775921398
0.1407251.809191131690.828998715035
0.1410491.807358738860.829286694918
0.1413741.805558975470.82963902273
0.14171.803792483330.830054866344
0.1420271.802059890470.830533399784
0.1423541.800361811590.831073803183
0.1426821.798698848480.831675262732
0.1430111.797071590490.832336970626
0.1433411.795480614850.833058125004
0.1436711.793926487130.833837929891
0.1440021.792409761560.834675595128
0.1443341.790930981450.835570336308
0.1446671.789490679470.8365213747
0.1450011.788089378070.837527937183
0.1453351.786727589720.838589256164
0.145671.785405817310.839704569511
0.1460061.78412455440.840873120469
0.1463421.782884285540.842094157586
0.146681.781685486560.843366934634
0.1470181.780528624850.84469071053
0.1473571.77941415960.846064749259
0.1476961.778342542130.847488319795
0.1480371.777314216070.848960696021
0.1483781.776329617670.850481156652
0.148721.775389175990.852048985158
0.1490631.77449331320.853663469684
0.1494071.773642444740.855323902976
0.1497511.77283697960.857029582303
0.1500961.772077320520.858779809382
0.1504421.771363864180.860573890303
0.1507891.770697001480.862411135454
0.1511371.770077117660.864290859447
0.1514851.769504592580.866212381046
0.1518341.768979800860.868175023091
0.1521841.768503112140.870178112431
0.1525351.76807489120.872220979847
0.1528871.767695498220.874302959981
0.1532391.767365288930.876423391269
0.1535921.767084614820.878581615864
0.1539471.766853823280.880776979568
0.1543011.766673257880.883008831759
0.1546571.766543258450.885276525321
0.1550141.766464161310.887579416569
0.1553711.766436299480.889916865182
0.1557291.76646000280.892288234122
0.1560881.766535598160.894692889566
0.1564481.766663409650.897130200829
0.1568091.766843758770.899599540285
0.157171.767076964580.902100283295
0.1575321.76736334390.904631808121
0.1578961.767703211510.907193495851
0.158261.768096880290.909784730311
0.1586241.768544661410.912404897982
0.158991.769046864560.915053387914
0.1593571.769603798090.917729591634
0.1597241.77021576920.920432903051
0.1600921.770883084130.923162718366
0.1604611.771606048380.925918435965
0.1608311.772384966830.928699456323
0.1612021.773220144010.931505181894
0.1615731.774111884230.934335017001
0.1619461.775060491790.937188367724
0.1623191.776066271190.940064641775
0.1626931.77712952730.942963248381
0.1630681.778250565590.945883598152
0.1634441.779429692280.948825102945
0.1638211.780667214580.951787175731
0.1641991.781963440880.954769230442
0.1645771.783318680940.957770681825
0.1649571.784733246090.960790945285
0.1653371.786207449470.963829436716
0.1657181.787741606160.966885572338
0.16611.789336033490.969958768509
0.1664831.790991051160.97304844155
0.1668671.792706981470.976154007544
0.1672511.794484149550.979274882139
0.1676371.796322883570.982410480339
0.1680231.798223514890.985560216281
0.1684111.800186378370.988723503015
0.1687991.802211812490.991899752262
0.1691881.80430015960.99508837417
0.1695781.806451766130.998288777058
0.1699691.808666982811.00150036715
0.1703611.810946164851.0047225483
0.1707541.813289672171.0079547217
0.1711471.815697869611.01119628558
0.1715421.818171127131.01444663491
0.1719371.820709820041.01770516105
0.1723341.823314329151.02097125144
0.1727311.825985041041.02424428924
0.1731291.828722348211.02752365298
0.1735281.831526649321.03080871616
0.1739281.834398349371.03409884686
0.1743291.837337859861.03739340738
0.1747311.840345599051.04069175377
0.1751341.843421992091.04399323541
0.1755371.846567471241.04729719456
0.1759421.8497824761.05060296591
0.1763481.853067453361.05390987604
0.1767541.856422857881.05721724299
0.1771621.859849151921.06052437568
0.177571.863346805781.06383057339
0.1779791.866916297831.06713512521
0.178391.870558114651.07043730945
0.1788011.874272751191.07373639304
0.1792131.878060710891.0770316309
0.1796261.881922505751.08032226534
0.180041.885858656491.08360752534
0.1804551.889869692621.08688662588
0.1808711.89395615251.09015876726
0.1812881.898118583441.09342313433
0.1817061.902357541711.09667889574
0.1821251.906673592641.09992520316
0.1825451.911067310571.10316119045
0.1829661.915539278891.10638597286
0.1833881.920090090041.10959864614
0.183811.924720345431.11279828562
0.1842341.92943065541.11598394535
0.1846591.934221639161.11915465709
0.1850841.939093924651.12230942937
0.1855111.944048148421.12544724646
0.1859391.949084955481.12856706731
0.1863671.954204999091.13166782451
0.1867971.959408940541.13474842315
0.1872281.964697448911.13780773971
0.1876591.970071200751.14084462086
0.1880921.975530879741.14385788225
0.1885251.981077176371.1468463073
0.188961.986710787431.14980864589
0.1893961.992432415641.15274361305
0.1898321.998242769041.15564988764
0.190272.004142560511.15852611092
0.1907082.010132507061.16137088518
0.1911482.016213329211.16418277225
0.1915892.02238575021.16696029203
0.192032.02865049521.16970192095
0.1924732.035008290381.17240609043
0.1929172.041459862011.17507118526
0.1933612.048005935361.177695542
0.1938072.05464723361.18027744728
0.1942542.061384476591.18281513616
0.1947022.068218379551.18530679037
0.1951512.075149651661.18775053658
0.19562.082178994551.19014444461
0.1960512.089307100671.19248652564
0.1965032.096534651561.19477473036
0.1969562.103862315951.19700694719
0.197412.111290747841.19918100036
0.1978652.11882058431.20129464808
0.1983222.126452443241.20334558062
0.1987792.1341869211.2053314185
0.1992372.142024589751.20724971056
0.1996962.149965994791.20909793209
0.2001572.158011651611.210873483
0.2006182.166162042841.212573686
0.201082.174417614941.21419578474
0.2015442.18277877481.21573694211
0.2020092.191245886031.21719423848
0.2024742.19981926511.21856467006
0.2029412.208499177271.21984514731
0.2034092.217285832271.22103249341
0.2038782.226179379781.22212344288
0.2043482.23517990461.22311464025
0.2048192.244287421711.22400263888
0.2052912.253501870911.22478389995
0.2057642.262823111381.22545479152
0.2062392.27225091581.22601158791
0.2067142.281784964371.22645046913
0.2071912.291424838431.22676752061
0.2076682.301170013891.22695873321
0.2081472.311019854321.22702000339
0.2086272.320973603851.2269471338
0.2091082.331030379691.22673583409
0.209592.341189164491.22638172213
0.2100732.351448798331.22588032562
0.2105572.361807970541.22522708407
0.2110422.372265211211.2244173513
0.2115292.382818882491.22344639836
0.2120172.393467169661.22230941698
0.2125052.404208071991.22100152367
0.2129952.415039393431.21951776427
0.2134862.425958733121.21785311928
0.2139782.43696347581.21600250974
0.2144722.448050782091.21396080396
0.2149662.459217578721.21172282488
0.2154622.470460548751.20928335833
0.2159582.481776121841.20663716205
0.2164562.493160464541.20377897563
0.2169552.50460947081.20070353135
0.2174552.516118752611.19740556594
0.2179572.5276836311.19387983332
0.2184592.539299127281.19012111841
0.2189632.550959954851.18612425183
0.2194672.56266051141.18188412573
0.2199732.57439487181.1773957107
0.220482.586156781711.17265407363
0.2209892.597939651991.1676543967
0.2214982.6097365541.16239199739
0.2220092.621540216021.15686234955
0.222522.633343020811.15106110532
0.2230332.645137004421.14498411821
0.2235482.656913856411.13862746684
0.2240632.668664921721.13198747966
0.2245792.680381203981.12506076034
0.2250972.692053370831.11784421375
0.2256162.703671760981.11033507259
0.2261362.715226393331.10253092422
0.2266572.726706978241.09442973795
0.227182.738102930991.08602989219
0.2277042.749403387521.07733020168
0.2282282.76059722261.06832994436
0.2287552.77167307041.05902888767
0.2292822.782619347521.04942731427
0.2298112.793424278531.03952604667
0.230342.804075924031.02932647076
0.2308712.814562211061.0188305578
0.2314032.824870966081.00804088477
0.2319372.834989950110.996960652682
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0.2346232.882310242390.937358637318
0.2351632.891034876680.924638914423
0.2357062.899485613610.911669521853
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0.2373392.923083444740.871351957411
0.2378872.930329421080.85747575974
0.2384352.937248902040.84339900913
0.2389852.943832721080.829133363404
0.2395352.950072266030.814691031872
0.2400882.955959519970.800084741948
0.2406412.961487099490.785327702194
0.2411962.966648290240.770433562011
0.2417522.971437079290.755416368213
0.2423092.975848183980.740290518796
0.2428682.979877077120.725070714236
0.2434282.983520008040.709771906665
0.2439892.98677401960.694409247326
0.2445512.989636960720.678998032726
0.2451152.992107494470.663553649895
0.245682.994185101680.648091521214
0.2462462.995870079880.632627049238
0.2468142.99716353790.617175561957
0.2473832.998067385850.601752258939
0.2479532.998584320950.586372158749
0.2485252.998717809140.571050048063
0.2490982.998472062870.555800432831
0.2496722.997852015150.540637491843
0.2502482.99686329030.525575032991
0.2508242.995512171580.510626452513
0.2514032.993805566180.495804697437
0.2519822.991750967810.481122231411
0.2525632.98935641720.466591004084
0.2531452.986630461130.452222424124
0.2537292.983582110070.438027335939
0.2543142.980220794970.424016000134
0.25492.976556323510.410198077671
0.2554882.972598836130.396582617702
0.2560772.968358762270.383178048962
0.2566672.963846776930.369992174624
0.2572592.959073758090.357032170478
0.2578522.954050745020.344304586244
0.2584462.948788897870.331815349865
0.2590422.94329945870.319569774548
0.2596392.937593714080.307572568362
0.2602372.93168295950.295827846169
0.2608372.92557846570.284339143644
0.2614392.919291446930.273109433175
0.2620412.912833031320.262141141405
0.2626452.906214233390.251436168187
0.2632512.89944592870.240995906748
0.2638582.892538830630.230821264824
0.2644662.885503469360.220912686595
0.2650762.87835017290.211270175196
0.2656872.871089050320.201893315648
0.2662992.863729976850.192781298027
0.2669132.856282581030.18393294072
0.2675282.848756233730.175346713624
0.2681452.841160038950.16702076116
0.2687632.833502826290.158952924991
0.2693832.82579314510.151140766335
0.2700042.818039260060.143581587782
0.2706262.810249148260.136272454548
0.271252.802430497520.12921021509
0.2718752.794590705930.122391521033
0.2725022.786736882570.115812846356
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Showing 2,000 of 3539 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
—