Optical constants

Refractive index of MoO3 (Molybdenum trioxide)

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

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

Biaxial crystal, axes: beta

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.01907–24.8 µm
Refractive index n
2.51658
Extinction coefficient k
0.013672
Permittivity ε1
6.33301
Permittivity ε2
0.0688134
Absorption coefficient α
2923.88 cm⁻¹
Penetration depth δ = λ/(2πk)
6840.23 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.780044 µm⁻¹
Group index ng
2.97494
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(β) 0.019–24.8 µm
moo3 = ls.fetch_refractiveindex("main", "MoO3", "Lajaunie-β", 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; nβ, kβ.

Conditions

direction
beta

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(β) 0.019–24.8 µm: n and k versus wavelength
λ (µm)nk
0.01907450.8697050.0799122
0.01908920.8697050.0799122
0.01910390.8697050.0799122
0.01911860.8697570.0804822
0.01913340.8703270.0804295
0.01914810.8703270.0804295
0.01916290.8702740.0798599
0.01917780.8697570.0804822
0.01919260.8697570.0804822
0.01920750.8703270.0804295
0.01922240.8702740.0798599
0.01923730.8697050.0799122
0.01925220.8685640.0800172
0.01926720.8674740.080694
0.01928210.8675810.0818367
0.01929710.867690.082979
0.01931220.8683150.083495
0.01932720.8689410.0840103
0.01934230.869510.0839553
0.01935740.870080.0839003
0.01937250.8706490.0838455
0.01938770.8705950.0832764
0.01940280.8700250.0833309
0.0194180.870080.0839003
0.01943330.8705950.0832764
0.01944850.8705950.0832764
0.01946380.8699710.0827614
0.01947910.8694010.0828156
0.01949440.8688860.0834402
0.01950970.8683150.083495
0.01952510.86780.0841208
0.01954050.8679110.0852622
0.01955590.8679670.0858327
0.01957130.8680240.0864032
0.01958680.8691640.0862898
0.01960220.8691640.0862898
0.01961780.8685940.0863464
0.01963330.8680240.0864032
0.01964880.8686510.0869164
0.01966440.8686510.0869164
0.019680.8680810.0869735
0.01969570.8680810.0869735
0.01971130.8680810.0869735
0.0197270.867510.0870307
0.01974270.8663680.0871454
0.01975840.8658550.0877745
0.01977420.86540.0889762
0.019790.8655180.0901194
0.01980580.8661490.0906311
0.01982160.8662090.091202
0.01983750.866840.0917125
0.01985340.8662690.0917729
0.01986930.866330.0923436
0.01988520.865820.0929754
0.01990120.8660060.0946876
0.01991710.8672710.0957025
0.01993310.8684720.0961458
0.01994920.8695460.0954521
0.01996520.8694840.0948838
0.01998130.8694840.0948838
0.01999740.8689780.0955145
0.02001360.8691040.0966513
0.02002980.8703660.09766
0.02004590.8720670.0974696
0.02006220.8730730.0962119
0.02007840.8729490.09508
0.02009470.8723210.0945752
0.0201110.8716930.0940698
0.02012730.8716930.0940698
0.02014370.8705590.0941924
0.020160.8700520.0948219
0.02017640.8701140.0953897
0.02019290.8696090.0960202
0.02020930.870240.0965251
0.02022580.8703030.0970926
0.02024230.870870.0970294
0.02025890.87150.097533
0.02027540.8720040.0969033
0.0202920.8713740.0963995
0.02030860.8713740.0963995
0.02032530.8713740.0963995
0.0203420.870870.0970294
0.02035870.870870.0970294
0.02037540.8703030.0970926
0.02039210.870430.0982273
0.02040890.8711260.0992968
0.02042570.8717570.0997985
0.02044260.8723230.0997337
0.02045940.8728880.0996691
0.02047630.8740180.0995402
0.02049330.8739540.0989754
0.02051020.8744550.0983469
0.02052720.8749570.0977191
0.02054420.8748940.0971547
0.02056120.8742660.0966525
0.02057830.8742660.0966525
0.02059540.8747690.0960253
0.02061250.8747070.0954605
0.02062960.8746460.0948956
0.02064680.8740190.0943915
0.0206640.8738980.0932603
0.02068130.8727050.0928148
0.02069850.8720780.0923082
0.02071580.8708840.0918607
0.02073310.8697470.0919807
0.02075050.868670.0926704
0.02076790.868670.0926704
0.02078530.8681010.0927312
0.02080270.86690.0922828
0.02082020.8657590.0924045
0.02083770.8641060.0931599
0.02085520.8630860.0944286
0.02087280.8632750.0961455
0.02089030.8633390.0967175
0.0209080.8639750.097225
0.02092560.8645460.0971608
0.02094330.8644820.0965896
0.0209610.8638470.0960818
0.02097870.8632750.0961455
0.02099650.8627030.0962093
0.02101430.8615570.0963372
0.02103210.8609840.0964013
0.02104990.8599010.0971042
0.02106780.8599660.0976783
0.02108570.8600310.0982523
0.02110370.8594570.0983179
0.02112170.8588170.097809
0.02113970.8576670.0979401
0.02115770.8559390.0981379
0.02117580.8549180.0994247
0.02119390.8544760.100646
0.0212120.8539670.101292
0.02123020.8534580.101938
0.02124840.853020.103163
0.02126660.8525120.103811
0.02128480.8520050.10446
0.02130310.8509190.10518
0.02132140.8504840.10641
0.02133980.8500510.107641
0.02135820.8495450.108293
0.02137660.8491150.109526
0.0213950.8493410.111263
0.02141350.8494930.11242
0.0214320.849570.112998
0.02145060.8496470.113577
0.02146910.8492240.114811
0.02148770.8487240.115467
0.02150640.8488820.116624
0.0215250.8485440.118438
0.02154370.8492840.119512
0.02156250.8494470.120667
0.02158120.8501880.121738
0.02160.8508470.122231
0.02161890.8515050.122724
0.02163770.8515050.122724
0.02165660.8510130.123382
0.02167560.8511810.124533
0.02169450.851350.125683
0.02171350.8527540.127235
0.02173250.85390.127064
0.02175160.85390.127064
0.02177070.85390.127064
0.02178980.8539850.127637
0.0218090.8539850.127637
0.02182820.8541570.128782
0.02184740.8542440.129354
0.02186670.8548160.129268
0.0218860.8548160.129268
0.02190530.8549020.129839
0.02192470.8549890.130411
0.02194410.8549890.130411
0.02196350.8549890.130411
0.0219830.8544180.130498
0.02200250.8534490.131818
0.02202210.8529660.132479
0.02204160.8526620.134285
0.02206120.8523620.136092
0.02208090.8532090.137715
0.02210060.8546280.139242
0.02212030.8558590.139626
0.022140.857090.140009
0.02215980.8576580.139916
0.02217960.8583180.140391
0.02219950.8595450.140772
0.02221940.8606770.140587
0.02223930.8612430.140495
0.02225930.8618080.140403
0.02227930.8629380.140219
0.02229930.8632290.138434
0.02231940.8618270.136918
0.02233950.8601280.137189
0.02235960.8590850.137937
0.02237980.8587010.139164
0.02240.8583180.140391
0.02242030.8579370.141619
0.02244060.8581250.142753
0.02246090.8589760.144358
0.02248130.8608620.145203
0.02250170.8618960.144449
0.02252210.8618960.144449
0.02254260.8620860.145577
0.02256310.8632130.145387
0.02258360.8642450.144635
0.02260420.8641510.144072
0.02262490.8640570.143509
0.02264550.8640570.143509
0.02266620.8638710.142382
0.0226870.8625570.14144
0.02270770.8607690.141153
0.02272850.8591640.141998
0.02274940.8578430.144549
0.02277030.8576610.146911
0.02279120.8590850.148414
0.02281220.8597470.148881
0.02283320.8598450.149445
0.02285420.8600420.150574
0.02287530.860240.151702
0.02289640.8617660.153754
0.02291760.8646730.153815
0.02293880.8672750.152201
0.022960.8683710.148554
0.02298130.8662140.146038
0.02300260.8632130.145387
0.0230240.8610540.146332
0.02304540.8594560.147186
0.02306680.8578560.148043
0.02308830.8564530.150037
0.02310980.8558210.153069
0.02313140.8567940.15523
0.0231530.8582310.156718
0.02317460.8595640.157638
0.02319630.8608950.158556
0.0232180.8624760.157686
0.02323980.862170.156002
0.02326160.8610460.156205
0.02328340.8606890.157432
0.02330530.8619150.157788
0.02332720.861710.156665
0.02334920.8604840.156307
0.02337120.8594610.157075
0.02339320.8583340.157281
0.02341530.8560770.157696
0.02343750.8542370.160377
0.02345960.8535340.162852
0.02348190.8539680.165112
0.02350410.8537330.166914
0.02352640.8537250.169844
0.02354880.8549650.173106
0.02357110.8571040.175008
0.02359360.8591250.176342
0.0236160.8607010.178343
0.02363850.8638270.179434
0.02366110.8665970.17886
0.02368370.8681430.177966
0.02370630.8686950.177853
0.0237290.8703510.177515
0.02375180.8713420.176739
0.02377450.8718930.176627
0.02379730.8725550.177066
0.02382020.8744280.177831
0.02384310.877170.177275
0.02386610.8795760.175084
0.02388910.8805710.17148
0.02391210.8793890.168299
0.02393520.8777680.165761
0.02395830.8752530.164524
0.02398150.8722820.163938
0.02400470.8700650.164356
0.02402790.8679490.165332
0.02405120.8660440.167428
0.02407460.8652560.169314
0.0240980.8656940.171539
0.02412140.866470.172539
0.02414490.8670250.172429
0.02416850.8668050.171319
0.0241920.8649180.170536
0.02421570.8621320.171088
0.02423930.8602330.173209
0.02426310.8594560.175111
0.02428680.8574490.176687
0.02431060.8553520.180627
0.02433450.8557490.185218
0.02435840.8578370.18943
0.02438230.8611010.191035
0.02440630.8636790.192201
0.02443040.8653320.191834
0.02445450.8660050.192262
0.02447860.866250.193362
0.02450280.8675940.194215
0.0245270.8685120.195737
0.02455130.8694310.197256
0.02457570.8715660.199067
0.02460.8756230.199287
0.02462450.8787530.198008
0.02464890.8808560.194697
0.02467350.8802610.191988
0.0246980.8793650.190478
0.02472270.8779250.189082
0.02474730.8760560.188344
0.02477210.8744180.188697
0.02479680.8735620.190027
0.02482170.8725880.190812
0.02484650.8720410.190931
0.02487150.8709460.191171
0.02489640.8699710.191961
0.02492140.8684470.192873
0.02494650.8671680.194887
0.02497160.8663180.196233
0.02499680.8650460.198255
0.0250220.8641620.20193
0.02504730.8650660.205765
0.02507260.8674870.208649
0.0250980.8704690.209083
0.02512340.8730510.207892
0.02514890.872410.205179
0.02517450.8683430.204988
0.02520.865720.208497
0.02522570.8654240.212035
0.02525140.8656860.215436
0.02527710.8665030.218695
0.02530290.8688140.220991
0.02532870.8694910.221394
0.02535460.8688260.22329
0.02538060.8687260.227344
0.02540660.8716130.231754
0.02543270.8756740.234105
0.02545880.8796810.234176
0.02548490.8823320.233472
0.02551110.883780.232524
0.02553740.8828340.231074
0.02556370.8809910.232692
0.02559010.8807780.236155
0.02561660.8836020.238229
0.02564310.8849410.238999
0.02566960.8850830.239525
0.02569620.8849860.241247
0.02572290.8846560.244163
0.02574960.8850050.247456
0.02577630.8855140.251267
0.02580320.8878980.25566
0.025830.8914740.260243
0.0258570.8959250.263973
0.0258840.9009270.265837
0.0259110.9040770.267123
0.02593810.9076660.269923
0.02596530.9135580.273108
0.02599250.9203140.27382
0.02601980.9265820.273047
0.02604710.9323210.272438
0.02607450.9383790.271212
0.02610190.943710.267561
0.02612940.9468060.263518
0.0261570.9488490.261369
0.02618460.9524950.259319
0.02621230.9553860.256441
0.026240.958410.254067
0.02626780.9610530.250246
0.02629570.9611460.246581
0.02632360.961260.244991
0.02635160.9628420.243031
0.02637960.9641830.2401
0.02640770.9643070.238513
0.02643590.9655320.237175
0.02646410.9662830.233886
0.02649230.9643420.232283
0.02652070.9631080.233619
0.02654910.9648040.236318
0.02657750.9688270.235852
0.0266060.9718820.233568
0.02663460.9735930.23213
0.02666330.9756760.230097
0.0266920.9772760.228185
0.02672070.9792510.225683
0.02674960.9800410.22244
0.02677840.9796020.220498
0.02680740.9808410.2192
0.02683640.9814880.217527
0.02686550.9821370.215856
0.02689460.982790.214186
0.02692380.9828540.212137
0.02695310.9828540.212137
0.02698240.9843110.211823
0.02701180.9865290.210333
0.02704130.9881590.208468
0.02707080.9902760.206508
0.02710040.993260.203874
0.027130.9948910.199519
0.02715970.9958680.194303
0.02718950.994450.189552
0.02721940.991770.186031
0.02724930.9889660.184536
0.02727920.9878060.183741
0.02730930.9877150.183251
0.02733940.9879330.181692
0.02736960.9881540.180134
0.02739980.9888670.178487
0.02743010.9894080.175863
0.02746050.9894650.173326
0.0274910.9898510.169722
0.02752150.9892680.166285
0.0275520.9876280.162511
0.02758270.9866520.159631
0.02761340.9855250.155755
0.02764420.9833410.151524
0.0276750.9797470.147997
0.0277060.9761480.144445
0.0277370.9721140.141444
0.0277680.967130.139071
0.02779910.9616860.137259
0.02783030.9559190.137041
0.02786160.9507060.137266
0.0278930.9456170.138534
0.02792440.9400620.140416
0.02795580.9356860.14321
0.02798740.9325150.146915
0.0280190.9304840.150997
0.02805070.9303890.153699
0.02808250.9295160.154919
0.02811430.927420.155269
0.02814620.9245360.157376
0.02817820.9218330.16055
0.02821030.9196630.163647
0.02824240.9176930.167812
0.02827460.9176190.173275
0.02830690.920620.177598
0.02833920.924580.178459
0.02837170.9259430.177117
0.02840420.9235570.17595
0.02843670.920620.177598
0.02846940.9186140.181251
0.02850210.9184040.185648
0.02853490.9193650.190349
0.02856780.9227260.193449
0.02860070.9256430.194459
0.02863380.9273020.194651
0.02866690.9284430.19495
0.02870.9285510.195466
0.02873330.9284720.197637
0.02876660.9303840.20153
0.02880.9358350.201959
0.02883350.9376250.19784
0.02886710.9342330.196953
0.02890070.9329480.200976
0.02893450.9349710.205354
0.02896830.9392060.207622
0.02900210.9439860.20763
0.02903610.9471890.205345
0.02907010.949060.201779
0.02910430.9467990.198564
0.02913850.9438670.19971
0.02917270.9425980.203692
0.02920710.9462270.208195
0.02924160.9519760.207988
0.02927610.9556560.205618
0.02931070.9570170.202191
0.02934540.9562820.198686
0.02938010.9535640.198204
0.0294150.9523710.200027
0.02944990.9536930.201323
0.02948490.9548020.201612
0.029520.9565170.202297
0.02955520.9589110.20127
0.02959050.9588890.198667
0.02962590.9567840.198582
0.02966130.9556990.2009
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0.08670220.9910470.480805
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0.08919730.9887870.52792
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0.09322120.8902120.588624
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0.0950070.8794620.636753
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0.1073460.7857070.861008
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0.1097210.8180560.891748
0.1102080.8061860.910459
0.11070.8035460.931496
0.1111970.8027050.949913
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0.1122030.8031071.00049
0.1127130.8239121.02802
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0.3593743.067850.601399
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0.5060582.60450.0209253
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0.5275922.574550.0182556
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0.5510412.548380.0160886
0.5635642.536380.0151791
0.5766712.525110.0142568
0.5904012.51440.0135221
0.6048012.504230.0127784
0.6199212.494620.0122263
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0.6701852.468620.0103296
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0.7749012.433320.00801373
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1.03322.392290.00543413
1.078122.388310.00502447
1.127132.384330.00482316
1.18082.380760.00462037
1.239842.37740.00420628
1.30512.374240.00400128
1.37762.371290.0037954
1.458642.368340.00358902
1.54982.36580.00338152
1.653122.363260.00317358
1.77122.360930.00296493
1.907452.358810.00254365
2.06642.356910.00233357
2.254262.3550.00212315
2.479682.353510.00191204
2.75522.352020.00170067
3.09962.350750.00148889
3.542412.349470.0014897
4.132812.348620.00127735
4.959372.347770.00106484
6.199212.347130.000852106
8.265612.346490.000639254
12.39842.346060.000426246
24.79682.345850.000213143

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
—