Optical constants

Refractive index of MoO3 (Molybdenum trioxide)

Lajaunie et al. 2013: n,k(α) 0.019–24.8 µm

Data
tabulated nk
Range
0.01907–24.8 µm
Points
1300
Optical axis
alpha
State
crystalline
Licence
CC0-1.0

Biaxial crystal, axes: alpha

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.01907–24.8 µm
Refractive index n
2.1447
Extinction coefficient k
0.00680833
Permittivity ε1
4.5997
Permittivity ε2
0.0292037
Absorption coefficient α
1456.02 cm⁻¹
Penetration depth δ = λ/(2πk)
13736 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.389658 µm⁻¹
Group index ng
2.37366
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

# MoO3 (Molybdenum trioxide): Lajaunie et al. 2013: n,k(α) 0.019–24.8 µm
moo3 = ls.fetch_refractiveindex("main", "MoO3", "Lajaunie-α", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(moo3.range_nm)  # (19.0745, 24796.8) nm
eps = moo3.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

α-MoO3; nα, kα.

Conditions

direction
alpha

References

L. Lajaunie, F. Boucher, R. Dessapt, P. Moreau. Strong anisotropic influence of local-field effects on the dielectric response of α-MoO3. Phys. Rev. B 88, 115141 (2013)
(using numerical data made publicly available by Luc Lajaunie)
  • doi:10.1103/physrevb.88.115141 Strong anisotropic influence of local-field effects on the dielectric response of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>α</mml:mi></mml:math>-MoO<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow/><mml:mn>3</mml:mn></mml:msub></mml:math>, Physical Review B (2013)

Cite

L. Lajaunie, F. Boucher, R. Dessapt and P. Moreau. Strong anisotropic influence of local-field effects on the dielectric response of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>α</mml:mi></mml:math>-MoO<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow/><mml:mn>3</mml:mn></mml:msub></mml:math>. Physical Review B, 88, 115141 (2013), doi:10.1103/physrevb.88.115141; (using numerical data made publicly available by Luc Lajaunie); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1300 rows as published
MoO3 (Molybdenum trioxide), Lajaunie et al. 2013: n,k(α) 0.019–24.8 µm: n and k versus wavelength
λ (µm)nk
0.01907450.8854820.084135
0.01908920.8859890.0835225
0.01910390.8864950.0829107
0.01911860.8863920.0817923
0.01913340.8862890.0806735
0.01914810.8855780.0790444
0.01916290.8837960.0780723
0.01917780.8826230.0776096
0.01919260.8815480.0782714
0.01920750.8804220.0783715
0.01922240.878730.0785224
0.01923730.8770850.0792397
0.01925220.8761090.0810401
0.01926720.8751360.0828443
0.01928210.8753530.0851085
0.01929710.876650.0866936
0.01931220.8778350.0871462
0.01932720.8785110.0882174
0.01934230.8796940.0886672
0.01935740.8808190.088554
0.01937250.8813240.0879358
0.01938770.8813240.0879358
0.01940280.8812690.087374
0.0194180.8813240.0879358
0.01943330.8813810.0884975
0.01944850.8819420.0884412
0.01946380.8825030.0883849
0.01947910.8830640.0883288
0.01949440.8830640.0883288
0.01950970.8830640.0883288
0.01952510.8836240.0882728
0.01954050.8841290.0876569
0.01955590.8841290.0876569
0.01957130.8840730.0870968
0.01958680.8834580.0865915
0.01960220.8828420.0860856
0.01961780.8822810.0861403
0.01963330.8812130.0868122
0.01964880.8812690.087374
0.01966440.8812690.087374
0.019680.8812690.087374
0.01969570.8812690.087374
0.01971130.88020.0880481
0.0197270.8796940.0886672
0.01974270.8791880.0892869
0.01975840.8787410.0904704
0.01977420.8789160.092159
0.019790.8796570.0937866
0.01980580.880840.0942282
0.01982160.8819620.0941084
0.01983750.8825220.0940486
0.01985340.8825220.0940486
0.01986930.8825820.0946088
0.01988520.8821430.0957895
0.01990120.8834460.0973461
0.01991710.8851830.0977199
0.01993310.8868560.0975356
0.01994920.8879690.0974133
0.01996520.8895760.0966752
0.01998130.8911820.0959401
0.01999740.8915590.094217
0.02001360.89150.0936623
0.02002980.8919390.0924951
0.02004590.8924360.0918833
0.02006220.8923230.0907743
0.02007840.8927650.0896092
0.02009470.8920450.0880001
0.0201110.8913810.0869438
0.02012730.8896580.0865501
0.02014370.8885440.0866587
0.020160.8880410.0872708
0.02017640.8880410.0872708
0.02019290.8880410.0872708
0.02020930.8874280.0867676
0.02022580.886870.0868222
0.02024230.8857520.0869318
0.02025890.8846330.0870417
0.02027540.8841840.0882169
0.0202920.8842410.0887767
0.02030860.8843540.0898962
0.02032530.8844110.0904557
0.0203420.8845260.0915745
0.02035870.8856440.0914589
0.02037540.886760.0913437
0.02039210.8872610.0907287
0.02040890.8872610.0907287
0.02042570.8877620.0901143
0.02044260.8883190.0900578
0.02045940.8887640.0888875
0.02047630.8880960.0878284
0.02049330.8874830.0873256
0.02051020.8874280.0867676
0.02052720.8862570.0863181
0.02054420.8856430.0858133
0.02056120.8845240.0859219
0.02057830.8834030.0860309
0.02059540.8823920.0872629
0.02061250.8825030.0883849
0.02062960.883120.0888894
0.02064680.8836810.088833
0.0206640.8836810.088833
0.02068130.8836240.0882728
0.02069850.8836240.0882728
0.02071580.8836240.0882728
0.02073310.8835690.0877125
0.02075050.8830080.0877682
0.02076790.8829530.0872074
0.02078530.8828970.0866465
0.02080270.8817750.0867568
0.02082020.8812130.0868122
0.02083770.8806510.0868676
0.02085520.8800880.0869231
0.02087280.8795810.0875416
0.02089030.8795810.0875416
0.0209080.8796380.0881045
0.02092560.88020.0880481
0.02094330.8801440.0874857
0.0209610.879470.0864157
0.02097870.8787970.085344
0.02099650.8776690.0854537
0.02101430.8759190.0850535
0.02103210.8747870.0851636
0.02104990.8731430.0858966
0.02106780.872120.0871439
0.02108570.8716670.0883365
0.02110370.8717830.0894718
0.02112170.8712740.090098
0.02113970.8713320.0906657
0.02115770.8713320.0906657
0.02117580.8708240.0912928
0.02119390.8702560.0913524
0.0212120.8696870.0914122
0.02123020.868610.0921012
0.02124840.8687310.0932394
0.02126660.8687310.0932394
0.02128480.8676540.0939315
0.02130310.8671460.0945631
0.02132140.8667010.0957654
0.02133980.8662580.0969688
0.02135820.8663860.0981087
0.02137660.8665160.099248
0.0213950.8670850.0991828
0.02141350.8671510.099752
0.0214320.8671510.099752
0.02145060.8666470.100387
0.02146910.8661440.101022
0.02148770.8662110.101592
0.02150640.8662780.102161
0.0215250.8664130.1033
0.02154370.8664810.103868
0.02156250.865980.104506
0.02158120.8661180.105644
0.02160.8662580.106781
0.02161890.8668960.107279
0.02163770.8670370.108415
0.02165660.8677470.109479
0.02167560.8689530.109902
0.02169450.8701560.110325
0.02171350.870650.109688
0.02173250.8712150.109617
0.02175160.8712150.109617
0.02177070.871780.109546
0.02178980.8724150.110039
0.0218090.8729090.109404
0.02182820.8728380.10884
0.02184740.8728380.10884
0.02186670.8722740.108911
0.0218860.871780.109546
0.02190530.8724150.110039
0.02192470.8736140.110461
0.02194410.8741060.109826
0.02196350.8751620.109123
0.0219830.8750920.10856
0.02200250.8755150.107365
0.02202210.8753780.10624
0.02204160.8746790.105181
0.02206120.8729190.104821
0.02208090.8717890.104957
0.02210060.8718570.105522
0.02212030.8718570.105522
0.022140.8717890.104957
0.02215980.8705220.103961
0.02217960.8693880.104096
0.02219950.8682540.104232
0.02221940.8671860.104937
0.02223930.8666870.105574
0.02225930.8661880.106213
0.02227930.8661880.106213
0.02229930.8661880.106213
0.02231940.864980.105783
0.02233950.863840.105922
0.02235960.8627690.106633
0.02237980.8621980.106704
0.02240.8611260.107417
0.02242030.8599820.10756
0.02244060.8589090.108277
0.02246090.8572610.109068
0.02248130.8562590.110364
0.02250170.8546840.111737
0.02252210.8531860.113692
0.02254260.8524230.116726
0.02256310.8529030.120178
0.02258360.8544590.122885
0.02260420.8564250.124354
0.02262490.8583050.125247
0.02264550.8600970.125567
0.02266620.8613180.12597
0.0226870.8624540.125804
0.02270770.8635880.125639
0.02272850.8652880.125392
0.02274940.8662560.124097
0.02277030.8660950.122966
0.02279120.8659350.121834
0.02281220.865210.12078
0.02283320.8639960.120371
0.02285420.862860.120529
0.02287530.8618830.121826
0.02289640.8620440.122964
0.02291760.8626120.122883
0.02293880.863180.122802
0.022960.8626120.122883
0.02298130.8626120.122883
0.02300260.86310.122234
0.0230240.862940.121098
0.02304540.8621330.119471
0.02306680.8596960.118647
0.02308830.8569180.119615
0.02310980.8547870.121083
0.02313140.8539690.123541
0.0231530.8542190.125261
0.02317460.8543880.126406
0.02319630.8545580.127551
0.0232180.8553010.12861
0.02323980.8558730.128524
0.02326160.8563590.127867
0.02328340.8557020.127381
0.02330530.8550450.126894
0.02332720.853730.125918
0.02334920.8514350.126257
0.02337120.8498810.127665
0.02339320.8481540.127925
0.02341530.8460210.129429
0.02343750.8440680.132098
0.02345960.8427910.135265
0.02348190.8420090.137766
0.02350410.8419090.140752
0.02352640.8419180.144313
0.02354880.8431940.148246
0.02357110.8461010.151282
0.02359360.8492650.152485
0.0236160.8522150.152544
0.02363850.853250.151773
0.02366110.8538170.151672
0.02368370.8539190.152239
0.02370630.854020.152807
0.0237290.8544290.155074
0.02375180.8553040.156669
0.02377450.8575190.15918
0.02379730.8612070.16024
0.02382020.8653340.160632
0.02384310.8694870.158139
0.02386610.871670.154301
0.02388910.8716420.150865
0.02391210.8707010.148731
0.02393520.8703230.146497
0.02395830.8692970.143794
0.02398150.8661220.142012
0.02400470.8633070.142475
0.02402790.8622720.143226
0.02405120.8605780.143508
0.02407460.8589760.144358
0.0240980.8586010.145586
0.02412140.8574680.145778
0.02414490.8558630.146636
0.02416850.8549230.147966
0.0241920.8545530.149201
0.02421570.852480.150737
0.02423930.8519530.154351
0.02426310.8538150.158114
0.02428680.857060.159849
0.02431060.8606450.160345
0.02433450.8632420.158704
0.02435840.8651750.156616
0.02438230.8657930.153616
0.02440630.864740.150912
0.02443040.8621980.149618
0.02445450.8598450.149445
0.02447860.858150.149741
0.02450280.8576840.150405
0.0245270.8571180.150504
0.02455130.8558860.150137
0.02457570.8541840.150436
0.02460.852580.151305
0.02462450.8510770.152748
0.02464890.8507130.153988
0.02467350.8503510.15523
0.0246980.8504550.155799
0.02472270.8504550.155799
0.02474730.8498860.155903
0.02477210.8486420.155543
0.02479680.8475010.155752
0.02482170.8458930.156639
0.02484650.8448560.157423
0.02487150.8443910.158102
0.02489640.8431390.157744
0.02492140.8413110.157492
0.02494650.8384360.158032
0.02497160.8353050.16042
0.02499680.833330.162601
0.0250220.8313580.164791
0.02504730.829740.168727
0.02507260.8302140.17104
0.0250980.8299950.172893
0.02512340.8285040.174411
0.02514890.8259810.17676
0.02517450.8244180.180734
0.02520.824030.184459
0.02522570.8239730.186899
0.02525140.8223260.190314
0.02527710.8216780.195332
0.02530290.8230630.201078
0.02532870.8261890.206369
0.02535460.8294610.209775
0.02538060.833710.212304
0.02540660.8387740.213407
0.02543270.8412880.21158
0.02545880.8422660.210741
0.02548490.8428240.210601
0.02551110.8422660.210741
0.02553740.8419880.211998
0.02556370.8429680.213531
0.02559010.8438080.214504
0.02561660.8440910.215616
0.02564310.8449320.216586
0.02566960.8456290.216998
0.02569620.8454870.216443
0.02572290.843820.216871
0.02574960.8418830.218558
0.02577630.8400930.220809
0.02580320.8386050.224182
0.025830.8375840.229231
0.0258570.8395150.234064
0.0258840.8426460.236754
0.0259110.8447570.237938
0.02593810.845460.238332
0.02596530.8434220.239501
0.02599250.8413930.244832
0.02601980.8420720.251166
0.02604710.844630.255733
0.02607450.8462830.261142
0.02610190.8516770.26712
0.02612940.8585040.270238
0.0261570.8639230.270857
0.02618460.8686230.271119
0.02621230.8728120.269817
0.026240.8757860.26833
0.02626780.8765110.266968
0.02629570.8763520.266445
0.02632360.8759890.267127
0.02635160.8747420.268651
0.02637960.873820.271223
0.02640770.8723560.27569
0.02643590.8734780.282778
0.02646410.8772180.288982
0.02649230.8819870.293088
0.02652070.8853820.296482
0.02654910.8886060.301033
0.02657750.8930050.305709
0.0266060.8982340.311166
0.02663460.9049240.316049
0.02666330.9123750.320044
0.0266920.9199380.324478
0.02672070.9306510.328802
0.02674960.943410.330185
0.02677840.9551850.327685
0.02680740.9656120.324664
0.02683640.9752070.319419
0.02686550.9830940.313805
0.02689460.9894540.308251
0.02692380.9947650.302584
0.02695310.9994510.298164
0.02698241.004740.294106
0.02701181.010030.290091
0.02704131.01610.285405
0.02707081.022050.28032
0.02710041.028550.273688
0.027131.033240.26567
0.02715971.037530.257823
0.02718951.041210.24923
0.02721941.043380.240085
0.02724931.043350.231466
0.02727921.043220.224305
0.02730931.043140.217132
0.02733941.043480.209396
0.02736961.042390.201459
0.02739981.039970.193755
0.02743011.036740.186642
0.02746051.032380.181135
0.0274911.028180.176525
0.02752151.024220.173302
0.0275521.021450.171326
0.02758271.020020.168625
0.02761341.019390.164804
0.02764421.01760.15969
0.0276751.014450.155257
0.0277061.010890.151351
0.0277371.007270.146932
0.0277681.002810.143597
0.02779910.9979090.140794
0.02783030.9936240.138885
0.02786160.9893910.137458
0.0278930.9852090.136519
0.02792440.980510.135644
0.02795580.9764290.135699
0.02798740.9729770.136694
0.0280190.9705980.138059
0.02805070.9695880.138203
0.02808250.969010.137769
0.02811430.9672050.135959
0.02814620.964890.134212
0.02817820.9621330.133038
0.02821030.9598090.131276
0.02824240.9559420.129715
0.02827460.9516850.129244
0.02830690.9474790.12929
0.02833920.9433260.12986
0.02837170.9387790.131554
0.02840420.9359380.13409
0.02843670.934670.136412
0.02846940.9336990.137089
0.02850210.93160.137398
0.02853490.9295750.138235
0.02856780.9270190.139156
0.02860070.9244580.140082
0.02863380.9225030.141463
0.02866690.9204640.142319
0.02870.9178910.143263
0.02873330.914780.144297
0.02876660.9108470.147116
0.02880.908520.149694
0.02883350.9062860.152822
0.02886710.9036160.156593
0.02890070.9022240.161268
0.02893450.9025630.166193
0.02896830.904430.170273
0.02900210.906130.170505
0.02903610.9041990.171975
0.02907010.9025640.177827
0.02910430.9074490.18293
0.02913850.9123090.182504
0.02917270.9135750.180609
0.02920710.9133670.179555
0.02924160.9117960.177123
0.02927610.9063950.177627
0.02931070.9024570.182834
0.02934540.9017590.190184
0.02938010.9045920.195668
0.0294150.9085530.198668
0.02944990.9116340.20019
0.02948490.9134320.200891
0.029520.914820.202226
0.02955520.9169580.20448
0.02959050.9198980.205458
0.02962590.9208180.204709
0.02966130.920130.206493
0.02969680.9210660.210625
0.02973240.925850.214938
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0.08521250.9064290.891411
0.08550630.9157360.903644
0.08580220.9200810.910246
0.08610010.9167890.915151
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0.08670220.9004160.959557
0.08700640.9136670.988325
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0.08919731.043391.10121
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0.09150121.13521.01965
0.09184011.128491.01463
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0.09252551.118221.01903
0.09287211.109381.02895
0.09322121.109491.04688
0.0935731.11691.06276
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0.09464441.150031.10389
0.0950071.175191.11896
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0.09611181.253811.10862
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0.09801121.333331.04775
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0.1020451.223931.0025
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0.1073461.12441.19886
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0.11071.252211.39034
0.1111971.315591.41343
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0.1142711.444331.32102
0.11481.445991.333
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0.1642172.443890.72221
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0.1664222.415860.662084
0.1675462.428320.646331
0.1686862.448550.601172
0.1698412.442980.540528
0.1710132.41630.491453
0.17222.388250.455773
0.1734042.358580.420592
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0.177122.233990.375114
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0.1809992.162030.392917
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1.239842.074370.00216933
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1.54982.068090.00169238
1.653122.066880.00169337
1.77122.065670.00145231
1.907452.064460.00145316
2.06642.063490.00121154
2.254262.062520.00121211
2.479682.06180.000970028
2.75522.060830.000970485
3.09962.060340.000728035
3.542412.059610.000728293
4.132812.059130.000728464
4.959372.058640.000485757
6.199212.05840.000485815
8.265612.057910.000242965
12.39842.057910.000242965
24.79682.057670.0

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
—