Optical constants

Refractive index of Yb (Ytterbium)

Larruquert et al. 2003: n,k 0.000730–0.207 µm

Data
tabulated nk
Range
0.0007302–0.2066 µm
Points
477
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.0007302–0.2066 µm
Refractive index n
0.982883
Extinction coefficient k
0.0180481
Permittivity ε1
0.965733
Permittivity ε2
0.0354783
Absorption coefficient α
184389 cm⁻¹
Penetration depth δ = λ/(2πk)
108.466 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-1.9825 µm⁻¹
Group index ng
1.00727
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
100.8 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

# Yb (Ytterbium): Larruquert et al. 2003: n,k 0.000730–0.207 µm
yb = ls.fetch_refractiveindex("main", "Yb", "Larruquert", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(yb.range_nm)  # (0.730178, 206.607) nm
eps = yb.eps([12.3])  # 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

Density: 6.81 g/cm3. Film deposited at room temperature.

References

1) J. I. Larruquert, J. A. Aznarez, J. A.Méndez, J. Calvo-Angós. Optical properties of ytterbium films in the far and the extreme ultraviolet. Appl. Opt. 42, 4566-4572 (2003)
2) M. Fernández-Perea, J. I. Larruquert, J. A. Aznárez, J. A. Méndez, L. Poletto, D. Garoli, A. M. Malvezzi, A. Giglia, S. Nannarone. Optical constants of Yb films in the 23-1700 eV range. J. Opt. Soc. Am. A 24, 3691-3699 (2007)
(Numerical data kindly provided by Juan Larruquert)
  • doi:10.1364/ao.42.004566 Optical properties of ytterbium films in the far and the extreme ultraviolet, Applied Optics (2003)
  • doi:10.1364/josaa.24.003691 Optical constants of Yb films in the 23-1700 eV range, Journal of the Optical Society of America A (2007)

Cite

Juan I. Larruquert, José A. Aznárez, José A. Méndez and José Calvo-Angós. Optical properties of ytterbium films in the far and the extreme ultraviolet. Applied Optics, 42, 4566 (2003), doi:10.1364/ao.42.004566; Mónica Fernández-Perea et al.. Optical constants of Yb films in the 23-1700 eV range. Journal of the Optical Society of America A, 24, 3691 (2007), doi:10.1364/josaa.24.003691; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

477 rows as published
Yb (Ytterbium), Larruquert et al. 2003: n,k 0.000730–0.207 µm: n and k versus wavelength
λ (µm)nk
0.0007301780.9997107830.000244461
0.0007310390.9997297460.000268614
0.0007319020.9997511060.000265182
0.0007327670.9997608260.00025998
0.0007336340.9997655090.000256515
0.0007345030.9997679660.000254789
0.0007353750.9997699460.000255034
0.0007362480.9997718920.000255415
0.0007371240.9997737120.000256702
0.0007380010.9997756890.000258175
0.0007388810.9997772890.000259821
0.0007397620.9997792320.000263169
0.0007406460.9997824960.000266837
0.0007415320.9997869620.00027038
0.000742420.9997930290.000273585
0.000743310.9997997250.000274228
0.0007442030.9998057120.000273733
0.0007450970.9998102550.000272194
0.0007459940.9998144590.000272711
0.0007468930.9998208680.000273346
0.0007477940.9998267820.000269464
0.0007486970.9998310480.000266901
0.0007496020.9998338180.000262467
0.000750510.9998362280.000261362
0.0007514190.9998377450.000257217
0.0007523310.9998386980.000257839
0.0007532450.9998406280.000257084
0.0007541620.9998451750.000260241
0.000755080.9998525350.000257769
0.0007560010.9998584380.000252566
0.0007569240.9998614150.000244774
0.000757850.9998592550.000236981
0.0007587770.9998558480.000236418
0.0007597070.9998548680.000236815
0.0007606390.9998570110.000238925
0.0007615740.9998595510.000235533
0.000762510.9998585550.000232999
0.0007634490.9998569750.000234808
0.0007643910.9998600550.000240482
0.0007653340.9998667480.000240898
0.0007662810.9998734950.000239306
0.0007672290.9998778210.000233762
0.000768180.9998819010.000232602
0.0007691330.9998862710.000226378
0.0007700880.9998888510.000221751
0.0007710460.9998898680.000215144
0.0007720060.9998898910.000211819
0.0007729690.9998895480.00020735
0.0007739340.9998903210.000206887
0.0007749010.9998926040.000202867
0.0007758710.9998941040.000199009
0.0007768430.9998947280.000193773
0.0007778180.9998939080.000189379
0.0007787950.9998926380.000186226
0.0007797750.9998922710.000184587
0.0007807570.9998932710.000182288
0.0007817410.9998948240.000178654
0.0007827280.9998944880.000172314
0.0007837180.9998914710.000167992
0.000784710.9998889340.000166796
0.0007857050.9998879510.000165394
0.0007867020.9998872340.000163368
0.0007877010.9998860740.000161221
0.0007887030.9998836410.000159529
0.0007897080.9998844010.000163195
0.0007907150.9998873680.000159929
0.0007917250.9998887810.000157529
0.0007927380.9998892710.00015316
0.0007937530.9998875240.000150012
0.000794770.9998883310.000151642
0.0007957910.9998902410.000147333
0.0007968140.9998935940.000147284
0.0007978390.9998959140.0001373
0.0007988670.9998934210.000131773
0.0007998980.9998902840.000127209
0.0008009310.9998886640.000126021
0.0008019680.9998859040.00012015
0.0008030060.9998822880.00012126
0.0008040480.9998821350.000122149
0.0008050920.9998863440.000123908
0.0008061390.9998913810.000117169
0.0008071890.9998932140.000110197
0.0008082410.9998940480.000102575
0.0008092960.9998927889.29876e-05
0.0008103540.9998891488.44541e-05
0.0008114150.9998835017.59929e-05
0.0008124780.9998760986.97628e-05
0.0008135450.9998677056.52226e-05
0.0008146140.9998605186.44909e-05
0.0008156850.9998553056.23669e-05
0.000816760.9998479385.80931e-05
0.0008178380.9998386725.82564e-05
0.0008189180.9998310086.1496e-05
0.0008200010.9998270056.68449e-05
0.0008210870.9998256026.92533e-05
0.0008221760.9998244387.058e-05
0.0008232680.9998233427.10437e-05
0.0008243630.9998226357.13237e-05
0.0008254610.9998219556.99378e-05
0.0008265610.9998203786.77368e-05
0.0008276650.9998169926.5273e-05
0.0008287710.9998134126.57431e-05
0.0008298810.9998110426.59642e-05
0.0008309930.9998086196.53253e-05
0.0008321090.9998058256.53111e-05
0.0008332270.9998032156.58441e-05
0.0008343490.9998019596.75662e-05
0.0008354730.9998027856.79543e-05
0.00083660.9998031856.47339e-05
0.0008377310.9997964626.03665e-05
0.000843430.9997832395.65177e-05
0.0008492070.9997667065.83814e-05
0.0008550630.9997544526.15048e-05
0.0008610010.9997445636.48188e-05
0.0008670220.9997355036.64642e-05
0.0008731280.9997265896.85783e-05
0.000879320.9997175636.97106e-05
0.0008856010.999708227.1958e-05
0.0008919730.999698937.44283e-05
0.0008984360.999690847.79215e-05
0.0009049940.999683898.07582e-05
0.0009116480.999676228.17152e-05
0.0009184010.99966838.47281e-05
0.0009252550.999661298.66574e-05
0.0009322120.999653668.75661e-05
0.0009392740.999644298.83487e-05
0.0009464440.999635089.23551e-05
0.0009537250.999627659.57576e-05
0.0009611180.999620219.77532e-05
0.0009686260.999612289.99161e-05
0.0009762530.999603620.000101463
0.0009840010.999594630.000104389
0.0009918730.999585880.000106999
0.0009998720.999576520.000109579
0.0010080020.99956680.000113386
0.0010162640.999558720.000118826
0.0010246630.999552240.000121923
0.0010332020.999544290.000122259
0.0010418840.999532880.000122738
0.0010507130.999521220.000128304
0.0010596940.99951310.000134205
0.0010688290.999504140.000134929
0.0010781230.99949330.000139109
0.0010875810.999483350.000142833
0.0010972050.999472660.000145809
0.0011070020.999461560.000150069
0.0011169750.999450220.000153799
0.0011271290.999438770.000158767
0.001137470.999427560.000163149
0.0011480020.999415520.000167307
0.0011587310.999403260.0001727
0.0011696620.999390950.000177659
0.0011808020.999378420.00018341
0.0011921560.999365940.00018902
0.001203730.999353190.000194743
0.0012155310.999340420.000200865
0.0012275660.999328490.000207024
0.0012398420.999314740.000209754
0.0012523660.999300640.000216583
0.0012651450.999283430.000217559
0.0012781870.999264360.00022829
0.0012915020.999249320.000238046
0.0013050970.999234510.000245851
0.0013189810.999220650.000254632
0.0013331630.99920560.000257558
0.0013476540.999183070.00025951
0.0013624640.999158250.000272192
0.0013776020.999139170.000287802
0.0013930810.999120330.000298534
0.0014089110.999105750.00031707
0.0014251060.999092580.000319997
0.0014416770.99906580.000320972
0.0014586370.999040210.000342436
0.0014760020.999017240.000351216
0.0014937850.998998180.000375606
0.0015120020.998977690.000376582
0.0015306690.998948070.000394142
0.0015498020.998925060.000414142
0.001569420.99890340.000428288
0.0015895410.998875880.000439996
0.0016101840.998846390.000460483
0.0016313710.998822220.000481946
0.0016531220.998791460.000491702
0.0016754620.998756530.000519995
0.0016984140.998727560.000547312
0.0017220030.998707140.000580482
0.0017712030.998657760.000607311
0.0017968720.998620270.000623408
0.0018232970.998576780.000647311
0.001850510.998542860.000686822
0.0018785480.998506510.000701456
0.0019074490.998460040.000737554
0.0019372530.998427180.00078048
0.0019680030.998390630.000799016
0.0019997450.998340780.000832187
0.0020325280.998287720.000870235
0.0020664030.998239050.000925844
0.0021014270.998209530.000982429
0.0021376580.998166970.001000966
0.0021751610.998111880.001058526
0.0022140030.998064470.00110633
0.0022542580.998025150.001167793
0.0022960030.997969410.001189256
0.0023393240.997904550.001266329
0.0023843110.997851850.001320962
0.0024310620.997795450.00139023
0.0024796840.99773660.001449742
0.002530290.997675650.00152657
0.0025830040.997614490.001597057
0.0026379610.997579960.001693642
0.0026953080.99749010.001673154
0.0027552040.997368870.001821445
0.0028178220.997305240.00192681
0.0028833530.997233250.002025346
0.0029520040.997151310.002128759
0.0030240050.997070090.002249734
0.0030996050.996998980.00237022
0.0031790820.996915350.002471195
0.0032627420.996806490.002589242
0.0033509240.996697260.002741436
0.0034440050.996592320.002895581
0.0035424050.996520820.003086798
0.0036465940.996431380.003171676
0.0037570970.996270520.003309235
0.0038745060.996092190.003488746
0.003999490.995925730.003711182
0.0041328060.995725510.003891181
0.0042028540.995645910.004044838
0.0042753170.995360620.003960936
0.0043503220.9952210.004608734
0.0044280070.995338810.004657514
0.0045085160.995257470.004759952
0.0045920070.995167780.004937512
0.0046786490.995080210.005082876
0.0047686230.994971930.005265313
0.0048621250.994874630.00547214
0.0049593670.99478990.005680919
0.0050605790.99469550.005883844
0.0051660080.994605260.006128719
0.0052759230.994522570.006362863
0.0053906170.994466520.006648714
0.0055104080.994434940.006881882
0.0056356450.99439360.007126758
0.0057667060.994386520.007389194
0.0059040090.994384070.007574558
0.0060480090.994374590.007781386
0.0061992090.994367310.007921872
0.0063581630.994373430.008046749
0.0065254840.994196790.007907238
0.0067018480.993936520.008130163
0.006888010.993601690.008055529
0.0070848110.993110010.008334551
0.0072931870.992642460.00862528
0.0075141930.992236460.009119909
0.0077490120.991841510.00944771
0.007998980.991413160.00996673
0.0082656120.99098720.010384286
0.0085506340.990488980.010908184
0.0088560130.989990160.011481836
0.0091840140.989477360.012067196
0.0095372450.98888580.012624264
0.0099187350.988170560.013240843
0.0103320160.987342060.013928641
0.0107812340.98632810.014661317
0.011271290.985149860.015655453
0.0118080180.983858350.016806661
0.0123984190.982687880.018296402
0.0124607220.982639520.018322744
0.0125236550.982400910.018244696
0.0125872270.982141320.018514937
0.0126514480.98203290.018699325
0.0127163270.981914870.018810544
0.0127818750.98178330.01894225
0.0128481020.981618250.019017371
0.012915020.981447760.019187125
0.0129826370.981350690.019318831
0.0130509670.981102030.019246149
0.013120020.980835040.019557853
0.0131898070.980678850.019681754
0.0132603410.980492780.019871021
0.0133316330.980364190.020046629
0.0134036960.980154840.020078824
0.0134765420.979955810.020348089
0.0135501840.979779640.020403698
0.0136246360.979570780.020620282
0.013699910.979444160.020751988
0.0137760210.979167560.020706622
0.0138529820.978818650.020963693
0.0139308080.978607850.021216373
0.0140095130.97839640.021359786
0.0140891120.978182880.021579296
0.0141696210.977965460.021694417
0.0142510560.977698490.021858318
0.0143334320.977414140.02202417
0.0144167660.977159230.022261241
0.0145010750.976897460.022394898
0.0145863750.97659250.022603676
0.0146726850.976333960.022834894
0.0147600220.976038790.02295977
0.0148484060.975695560.02319489
0.0149378540.975402850.023442692
0.0150283860.975081220.023610496
0.0151200230.974738410.023870005
0.0152127840.974384380.024070003
0.015306690.974018480.024358781
0.0154017620.973643780.024595852
0.0154980230.97328230.024937312
0.0155954950.972907970.025171456
0.0156942010.9725120.025537306
0.0157941640.972138460.025859254
0.0158954090.971805460.026269981
0.015997960.971506730.026558759
0.0161018430.971116430.026812415
0.0162070830.970695060.027175338
0.0163137090.970282160.027526554
0.0164217470.969891830.027937282
0.0165312250.969396240.028222157
0.0166421730.969027090.028943125
0.016754620.968781270.029218244
0.0168685970.968362830.029592875
0.0169841350.96798950.030085553
0.0171012670.967769170.030535304
0.0172200260.967321970.030560182
0.0173404460.966688720.031108957
0.0174625620.966329720.031725536
0.017586410.965946580.031996753
0.0177120270.965429110.03246748
0.0178394510.964942560.032949427
0.0179687230.964474330.033478202
0.0180998810.964030510.033986002
0.0182329690.963564960.034472826
0.0183680280.963082850.034996235
0.0185051030.962600330.035521596
0.0186442390.962069020.036046957
0.0187854830.961602660.036756218
0.0189288840.961320710.037393772
0.019074490.961247780.037852304
0.0192223550.960603790.037386943
0.0193725290.959510360.038023034
0.0195250690.958661290.038616199
0.019680030.957876580.039362533
0.019837470.957157360.040030819
0.019997450.956368160.04068252
0.020160030.955563190.041472756
0.0203252770.954824530.042280553
0.0204932540.954073290.043021033
0.0206640310.953263770.043798586
0.0208376790.952412540.04460931
0.0210142690.951558560.04550296
0.0211938780.950699790.046375146
0.0213765840.949797260.047279527
0.0215624670.948841010.048200494
0.0217516120.947795190.049179996
0.0219441040.946740410.050333155
0.0221400330.945714330.051499973
0.0223394930.944660430.052720448
0.022542580.943607510.054025801
0.0227493920.942503040.055322374
0.0229600350.941375810.056820895
0.0231746140.940333410.058386733
0.0233932430.939317780.059931108
0.0236160360.938240150.06147841
0.0238431130.937020210.063107662
0.02407460.935904440.065163251
0.0243106250.934935170.067070549
0.0245513240.93416990.06928321
0.0247968370.934183110.071257824
0.0250473110.932001940.070301736
0.0253028950.929983750.075519245
0.025563750.930213180.077351422
0.0258300390.929731390.079211891
0.0261019340.929274380.080856752
0.0263796140.928270330.081691866
0.0266632660.926667960.083095754
0.0269530840.924921640.08442257
0.0272492720.922554870.08544695
0.0275520420.919078530.086748401
0.0278616150.915665020.089724956
0.0281782240.911364740.090956164
0.0285021120.906093810.094889783
0.0288335320.898469370.096912202
0.029172750.883647390.1043892
0.029345370.881102840.1239012
0.0295200450.887931120.13159576
0.0296968110.893553780.13537133
0.0298757080.898181070.13650595
0.0300567730.898796580.13343086
0.0302400460.895226870.13430597
0.0304255670.892510990.13908544
0.030613380.891808660.14344052
0.0308035250.890802040.14618098
0.0309960470.887792010.1492668
0.0311909910.885279170.15622966
0.0313884020.8835650.16175497
0.0315883280.883599440.17069146
0.0317908170.883762910.1745246
0.0319959190.882059480.1819772
0.0322036850.881963230.19071175
0.0324141670.881370230.1982268
0.0326274180.88162970.21110765
0.0328434930.888651640.22572116
0.033062450.895213710.22989331
0.0332843460.900817840.24244392
0.033509240.910616860.25121115
0.0337371940.923159070.25999838
0.0339682710.937148350.26191397
0.0342025340.947406310.25999935
0.0344400520.956321840.26058178
0.0346808920.962781310.2561311
0.0349251230.967103140.25730572
0.0351728190.971687360.25676524
0.0354240540.9778480.26016228
0.0356789030.984319090.25729694
0.0359374460.987065050.25594086
0.0361997630.98944990.2577184
0.0364659370.993133360.26029788
0.0367360560.996174650.2622364
0.0370102051.00253020.27015632
0.0372884771.01144340.27082949
0.0375709661.02024880.2736119
0.0378577671.02915440.27146948
0.0381489811.03530290.26975633
0.0384447091.04046050.26987242
0.0387450591.04784370.27304312
0.0390501381.05823010.27382751
0.039360061.06926380.27222459
0.039674941.08017070.26907731
0.0399948991.0930380.26575539
0.0403200611.10475320.25461306
0.0406505531.11501240.24535852
0.0409865081.12267150.22725041
0.0413280621.12144890.20817841
0.0416753571.11219810.1933288
0.0420285381.10081890.18879226
0.0423877561.09233120.18873762
0.0427531681.08680750.19131711
0.0431249351.08448010.19496293
0.0435032241.08343820.19690535
0.0438882081.08251260.20025751
0.0442800671.08308930.20503893
0.0446789861.08546960.21046521
0.0450851591.09195190.21822318
0.0454987841.10390850.22239387
0.0459200691.11806520.2196378
0.0463492291.12729950.2079989
0.0467864861.1290410.19836875
0.0472320711.1275370.19314734
0.0476862261.12700160.19327904
0.0481491991.12980440.19487805
0.048621251.13518740.19599024
0.0491026481.14242450.19662438
0.0495936751.15211860.19715022
0.0500946211.16464020.1961356
0.0506057911.18334750.19535805
0.05112751.21101570.1849962
0.0516600781.23981830.15290969
0.0522038681.2396020.089991958
0.0527592291.20926240.05661259
0.0533265321.1801640.046444716
0.0539061681.15934020.04299233
0.0584019781.08519010.035
0.0672022511.01163870.048
0.073502470.963321440.052
0.0834028020.909876790.106
0.0879029960.887296660.101
0.0920030870.854999890.118
0.0986033030.803556190.143
0.1048035630.754569410.19
0.1135038130.692594130.26
0.1200040140.655760160.343
0.1244042010.64036360.395
0.1320044480.636726410.505
0.1357045850.645548490.548
0.1412047730.670760.621
0.1525020760.753380790.715
0.177105980.824918880.73
0.2066069760.790557640.82

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
—