Optical constants

Refractive index of Nb2O5 (Niobium pentoxide)

Franta et al. 2024: n,k 0.120–399 µm

Data
tabulated nk
Range
0.1201–399.4 µm
Points
3523
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.1201–399.4 µm
Refractive index n
2.34375
Extinction coefficient k
1.29111e-06
Permittivity ε1
5.49316
Permittivity ε2
6.05209e-06
Absorption coefficient α
0.276116 cm⁻¹
Penetration depth δ = λ/(2πk)
7.24332e+07 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.451166 µm⁻¹
Group index ng
2.60885
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

# Nb2O5 (Niobium pentoxide): Franta et al. 2024: n,k 0.120–399 µm
nb2o5 = ls.fetch_refractiveindex("main", "Nb2O5", "Franta", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(nb2o5.range_nm)  # (120.051, 399362) nm
eps = nb2o5.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

Nb2O5; Deposited by magnetron sputtering; Heterogenous data processing combining ellipsometric and spectrophotometric measurements of five samples with thicknesses between 20 and 250 nm; Room temperature.

Conditions

substrate
c-Si

References

D. Franta, B. Hroncová, J. Dvořák, J. Vohánka, P Franta, I. Ohlídal, V. Pekař, D. Škoda. Wide spectral range optical characterization of niobium pentoxide (Nb2O5) films by universal dispersion model. Opt. Mat., 157, 116133 (2024) (Numerical data kindly provided by Jan Dvořák)
  • doi:10.1016/j.optmat.2024.116133 Wide spectral range optical characterization of niobium pentoxide (Nb2O5) films by universal dispersion model, Optical Materials (2024)

Cite

Daniel Franta et al.. Wide spectral range optical characterization of niobium pentoxide (Nb2O5) films by universal dispersion model. Optical Materials, 157, 116133 (2024), doi:10.1016/j.optmat.2024.116133; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

3523 rows as published
Nb2O5 (Niobium pentoxide), Franta et al. 2024: n,k 0.120–399 µm: n and k versus wavelength
λ (µm)nk
0.1200511.215973138041.251165144
0.1203281.221893892981.25570174001
0.1206051.227941739061.26017238822
0.1208831.23411647311.26457143875
0.1211621.240417605971.26889310418
0.1214411.246844343771.27313147263
0.1217211.253395569241.27728052276
0.1220021.260069823421.28133414092
0.1222831.26686528791.28528614047
0.1225651.273779767781.28913028326
0.1228471.280810675651.29286030345
0.1231311.28795501681.29646993358
0.1234151.295209375911.29995293294
0.1236991.302569905641.30330311821
0.1239841.310032317271.30651439628
0.124271.317591873751.30958079913
0.1245561.325243385541.31249652068
0.1248441.332981209441.31525595544
0.1251311.340799250831.3178537386
0.125421.348690969511.32028478746
0.1257091.356649389461.32254434379
0.1259991.364667112861.32462801672
0.1262891.372736338431.32653182591
0.126581.380848884361.32825224428
0.1268721.388996216041.32978624018
0.1271651.397169478441.3311313181
0.1274581.405359533511.33228555768
0.1277521.41355700221.33324765023
0.1280461.421752311281.33401693239
0.1283411.429935744631.33459341614
0.1286371.438097498781.33497781476
0.1289341.446227742451.33517156408
0.1292311.45431667961.33517683854
0.1295291.46235461561.3349965616
0.1298271.470332026011.33463440993
0.1301271.478239627361.33409481112
0.1304271.48606844941.33338293455
0.1307271.493809908021.33250467508
0.1310291.501455878331.33146662939
0.1313311.508998767181.33027606491
0.1316331.516431584231.32894088115
0.1319371.523748011211.32746956342
0.1322411.530942468341.32587112913
0.1325461.538010177521.32415506648
0.1328511.544947221431.32233126596
0.1331581.551750597941.3204099445
0.1334651.55841826931.31840156263
0.1337721.564949205321.31631673467
0.1340811.571343419871.31416613212
0.134391.577602000161.31196038042
0.13471.583727127821.30970994909
0.135011.589722090981.30742503548
0.1353211.595591286411.30511544211
0.1356331.601340210431.30279044797
0.1359461.606975437311.30045867382
0.1362591.612504583511.29812794204
0.1365731.617936255891.29580513159
0.1368881.623279981831.29349602898
0.1372041.628546118741.29120517674
0.137521.633745740561.28893572113
0.1378371.638890498221.28668926199
0.1381551.643992451551.28446570793
0.1384731.649063869821.28226314173
0.1387931.654116998881.28007770145
0.1391131.659163793251.27790348437
0.1394331.66421561311.27573248193
0.1397551.669282887281.27355455527
0.1400771.674374746191.2713574618
0.14041.67949863071.26912694372
0.1407231.684659886821.26684688963
0.1410481.689861359471.26449957891
0.1413731.695103002691.26206601683
0.1416991.7003815271.2595263645
0.1420251.705690108231.25686046306
0.1423531.711018183571.25404844496
0.1426811.716351361121.25107141767
0.143011.72167146671.2479121971
0.143341.726956747091.24455605985
0.143671.732182240991.24099147636
0.1440011.737320318441.23721078247
0.1443331.742341377471.23321074517
0.1446661.74721467341.2289929808
0.1449991.751909243851.22456419078
0.1453341.756394882371.21993619078
0.1456691.760643107071.21512572346
0.1460051.764628069081.21015406056
0.1463411.768327349141.20504641624
0.1466781.771722599181.19983120709
0.1470171.77479999831.19453920485
0.1473551.777550507071.18920263336
0.1476951.779969919861.18385426206
0.1480361.782058728551.17852654388
0.1483771.783821822951.17325083812
0.1487191.785268060881.16805674777
0.1490621.786409745051.16297158995
0.1494051.787262044481.1580200065
0.149751.787842395231.15322371238
0.1500951.788169910731.14860137132
0.1504411.788264825721.14416858304
0.1507881.78814799121.13993796296
0.1511351.787840431691.13591929427
0.1514841.787362970191.13211973264
0.1518331.786735921791.1285440456
0.1521831.785978853311.1251948708
0.1525341.785110403751.12207298033
0.1528861.784148158821.11917754079
0.1532381.783108572271.11650636172
0.1535911.782006926151.11405612701
0.1539451.780857322881.11182260611
0.15431.779672702291.1098008434
0.1546561.778464877651.10798532522
0.1550121.777244585471.10637012513
0.155371.776021544811.10494902844
0.1557281.774804522371.10371563767
0.1560871.773601400681.10266346051
0.1564471.772419247021.10178598238
0.1568071.771264381431.10107672517
0.1571691.770142442521.10052929424
0.1575311.769058450341.10013741504
0.1578941.768016865571.0998949612
0.1582581.767021644781.09979597514
0.1586231.766076291631.09983468263
0.1589891.765183903911.10000550231
0.1593551.764347216561.10030305102
0.1597231.763568640791.10072214589
0.1600911.762850299561.10125780362
0.160461.762194059521.10190523779
0.160831.761601559771.10265985446
0.16121.76107423771.10351724659
0.1615721.760613351991.10447318751
0.1619451.760220003241.1055236238
0.1623181.759895152251.10666466771
0.1626921.759639636341.10789258942
0.1630671.759454183721.10920380906
0.1634431.759339426341.11059488889
0.163821.759295911071.1120625255
0.1641971.759324109721.11360354218
0.1645761.759424427741.11521488154
0.1649551.759597211881.11689359831
0.1653361.759842756941.11863685254
0.1657171.760161311591.12044190299
0.1660991.760553083451.12230610086
0.1664821.761018243571.12422688385
0.1668651.761556930171.12620177056
0.167251.762169251931.12822835508
0.1676361.76285529081.13030430207
0.1680221.763615104321.13242734197
0.1684091.764448727621.13459526661
0.1687981.765356175051.13680592506
0.1691871.766337441521.13905721976
0.1695771.767392503571.14134710293
0.1699681.768521320191.1436735732
0.1703591.769723833441.14603467252
0.1707521.770999968871.14842848329
0.1711461.772349635831.15085312572
0.171541.773772727541.15330675543
0.1719361.775269121091.15578756117
0.1723321.776838677341.1582937629
0.1727291.778481240711.16082360989
0.1731281.780196638861.16337537914
0.1735271.78198468231.16594737392
0.1739271.783845164041.16853792248
0.1743281.785777859041.17114537692
0.174731.787782523721.17376811231
0.1751321.789858895451.17640452582
0.1755361.792006691931.1790530361
0.1759411.794225610711.18171208281
0.1763461.796515328511.18438012623
0.1767531.798875500761.18705564703
0.177161.801305760971.18973714619
0.1775691.803805720261.19242314502
0.1779781.806374966811.19511218534
0.1783881.809013065441.19780282968
0.17881.811719557171.20049366171
0.1792121.814493958811.20318328667
0.1796251.817335762721.205870332
0.1800391.820244436481.20855344796
0.1804541.823219422741.2112313084
0.180871.82626013911.21390261162
0.1812871.829365978071.21656608125
0.1817051.832536307121.21922046724
0.1821241.835770468821.22186454691
0.1825431.839067781071.22449712606
0.1829641.842427537441.22711704008
0.1833861.845849007591.22972315516
0.1838091.849331437841.23231436951
0.1842331.852874051781.23488961458
0.1846571.856476051061.23744785632
0.1850831.860136616271.23998809646
0.185511.863854907951.24250937374
0.1859371.867630067651.24501076516
0.1863661.871461219221.24749138724
0.1867951.875347470131.24995039716
0.1872261.879287912961.25238699394
0.1876581.883281626951.25480041954
0.188091.887327679761.2571899599
0.1885241.891425129211.25955494593
0.1889581.895573025261.26189475436
0.1893941.899770412011.26420880857
0.1898311.90401632981.26649657931
0.1902681.908309817491.26875758527
0.1907071.912649914711.2709913936
0.1911461.917035664251.27319762021
0.1915871.921466114551.27537593006
0.1920291.925940322191.27752603722
0.1924711.930457354491.27964770484
0.1929151.935016292091.28174074488
0.193361.939616231671.28380501784
0.1938061.944256288561.28584043216
0.1942521.94893559951.28784694356
0.19471.953653325271.28982455419
0.1951491.958408653431.29177331161
0.1955991.963200800971.29369330755
0.196051.968029016931.29558467659
0.1965021.972892584961.29744759461
0.1969551.977790825931.29928227706
0.1974091.982723100271.30108897712
0.1978641.987688810471.30286798363
0.198321.992687403241.30461961893
0.1987771.997718371791.30634423647
0.1992352.002781257821.30804221836
0.1996952.007875653481.30971397271
0.2001552.013001203191.31135993086
0.2006162.018157605251.3129805445
0.2010792.02334461341.31457628266
0.2015422.028562038091.31614762861
0.2020072.033809747711.31769507665
0.2024732.039087669581.31921912881
0.2029392.044395790751.32072029148
0.2034072.049734158621.32219907204
0.2038762.055102881451.32365597533
0.2043462.060502128561.32509150016
0.2048172.06593213041.3265061358
0.2052892.071393178451.32790035836
0.2057632.07688562491.32927462731
0.2062372.08240988211.33062938191
0.2067122.087966421871.33196503766
0.2071892.093555774651.33328198285
0.2076662.099178528351.33458057507
0.2081452.104835327161.33586113783
0.2086252.110526870061.33712395725
0.2091062.116253909251.33836927876
0.2095882.122017248361.3395973039
0.2100712.127817740491.3408081873
0.2105552.133656286191.34200203362
0.2110412.139533831141.34317889466
0.2115272.145451363831.34433876662
0.2120152.151409913011.34548158739
0.2125042.157410545111.34660723403
0.2129932.163454361421.34771552034
0.2134842.169542495261.34880619457
0.2139772.175676109011.34987893728
0.214472.181856391061.35093335931
0.2149642.188084552621.3519689999
0.215462.194361824521.35298532496
0.2159572.200689453891.35398172548
0.2164542.207068700811.35495751604
0.2169532.213500834841.35591193357
0.2174532.219987131561.35684413613
0.2179552.226528869051.3577532019
0.2184572.233127324281.35863812834
0.2189612.239783769531.35949783141
0.2194662.246499468721.36033114502
0.2199712.253275673781.36113682055
0.2204792.260113620941.36191352658
0.2209872.267014527031.36265984869
0.2214962.273979585751.36337428945
0.2220072.281009963991.36405526851
0.2225192.288106798031.36470112289
0.2230322.295271189871.36531010728
0.2235462.302504203441.36588039466
0.2240612.309806860951.36641007685
0.2245782.317180139071.36689716535
0.2250952.32462496531.36733959224
0.2256142.332142214211.36773521124
0.2261342.339732703811.36808179883
0.2266562.34739719181.36837705565
0.2271782.355136371981.36861860787
0.2277022.36295087061.3688040088
0.2282272.370841242741.3689307406
0.2287532.37880796871.36899621612
0.229282.386851450511.36899778085
0.2298092.394972008321.36893271512
0.2303382.403169876961.36879823626
0.2308692.411445202491.36859150106
0.2314022.419798038721.36830960831
0.2319352.428228343911.36794960145
0.232472.436735977391.36750847143
0.2330062.445320696311.36698315969
0.2335432.453982152441.36637056128
0.2340812.462719888971.36566752816
0.2346212.471533337481.36487087265
0.2351622.480421814871.363977371
0.2357042.48938452051.36298376718
0.2362472.498420533261.3618867768
0.2367922.507528808921.36068309117
0.2373372.51670817741.35936938159
0.2378852.52595734031.35794230376
0.2384332.535274868461.35639850235
0.2389832.544659199691.35473461577
0.2395342.554108636621.35294728106
0.2400862.563621344721.35103313904
0.2406392.573195350511.3489888395
0.2411942.582828539831.34681104666
0.241752.592518656471.34449644473
0.2423072.602263300821.34204174364
0.2428662.612059928861.33944368496
0.2434262.621905851311.33669904789
0.2439872.631798233041.33380465548
0.2445492.641734092721.33075738093
0.2451132.651710302711.32755415404
0.2456782.661723589261.32419196773
0.2462442.671770533011.32066788479
0.2468122.681847569721.31697904452
0.2473812.691950991391.31312266971
0.2479512.702076947661.30909607343
0.2485232.712221447541.30489666609
0.2490962.722380361551.3005219624
0.249672.732549424141.2959695884
0.2502462.742724236531.29123728847
0.2508222.752900269881.2863229324
0.2514012.763072868891.28122452227
0.251982.773237255781.27594019944
0.2525612.783388534621.27046825128
0.2531432.79352169611.26480711798
0.2537272.803631622711.25895539905
0.2543122.813713094251.25291185976
0.2548982.823760793851.24667543741
0.2554862.833769314241.24024524728
0.2560742.843733164551.23362058846
0.2566652.85364677741.22680094934
0.2572562.863504516361.21978601286
0.257852.873300683871.21257566133
0.2584442.883029529371.20516998107
0.259042.892685257831.19756926651
0.2596372.902262038611.18977402401
0.2602352.911754014571.18178497514
0.2608352.921155311451.17360305966
0.2614372.930460047551.16522943787
0.2620392.93966234351.15666549258
0.2626432.948756332381.14791283051
0.2632492.957736169891.13897328316
0.2638562.966596044651.12984890721
0.2644642.975330188621.12054198422
0.2650732.983932887581.11105501993
0.2656852.992398491631.10139074281
0.2662973.00072142561.09155210219
0.2669113.008896199541.08154226568
0.2675263.016917418971.07136461605
0.2681433.024779795121.06102274756
0.2687613.032478154881.05052046166
0.2693813.040007450681.03986176215
0.2700023.047362769961.02905084977
0.2706243.05453934451.01809211627
0.2712483.061532559351.00699013794
0.2718733.068337961360.995749668645
0.27253.074951267470.984375632368
0.2731283.081368372420.972873115332
0.2737583.087585356060.961247357662
0.2743893.093598490260.949503744676
0.2750213.099404245160.9376477978
0.2756553.104999295050.925685165175
0.2762913.110380523590.913621611955
0.2769283.115545028550.901463010361
0.2775663.120490125890.889215329523
0.2782063.12521335330.876884625144
0.2788473.129712473190.864477029024
0.279493.133985474950.8519987385
0.2801343.138030576760.839456005821
0.280783.141846226670.826855127513
0.2814273.145431103180.814202433772
0.2820763.148784115150.801504277912
0.2827263.151904401220.788767025921
0.2833783.154791328580.775997046153
0.2840313.157444491270.763200699187
0.2846863.159863707840.7503843279
0.2853423.162049018630.737554247771
0.2863.164000682470.724716737451
0.2866593.165719172950.71187802963
0.287323.167205174190.699044302224
0.2879833.168459576330.686221669894
0.2886473.169483470480.673416175941
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11.97750.8544454569160.990811840845

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Optical transmission calculator

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

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