Optical constants

Refractive index of CH3NH3PbI3 (Methylammonium lead iodide, MAPbI3)

Phillips et al. 2015: n,k 0.3–1.5 µm

Data
tabulated nk
Range
0.3–1.501 µm
Points
586
State
gas
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–1.501 µm
Refractive index n
2.42931
Extinction coefficient k
0.380848
Permittivity ε1
5.75649
Permittivity ε2
1.85039
Absorption coefficient α
81447.9 cm⁻¹
Penetration depth δ = λ/(2πk)
245.556 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
1.40923 µm⁻¹
Group index ng
1.60124
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

# CH3NH3PbI3 (Methylammonium lead iodide, MAPbI3): Phillips et al. 2015: n,k 0.3–1.5 µm
ch3nh3pbi3 = ls.fetch_refractiveindex("other", "CH3NH3PbI3", "Phillips", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ch3nh3pbi3.range_nm)  # (300.01, 1501.32) nm
eps = ch3nh3pbi3.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

A MAPI film was deposited onto a silicon wafer using a two-step vapour reaction phase process and a variable-angle ellipsometer used to take amplitude and phase change measurements. The refractive index and extinction coefficient was extracted from a multi-oscillator model fit to the ellipsometry data, as a function of wavelength, from 300 to 1500 nm

References

L. J. Phillips, A. M. Rashed, R. E. Treharne, J. Kay, P. Yates, I. Mitrovic, A. Weerakkody, S. Hall, K. Durose. Dispersion relation data for methylammonium lead triiodide perovskite deposited on a (100) silicon wafer using a two-step vapour-phase reaction process. Data in Brief 5, 926-928 (2015)
  • doi:10.1016/j.dib.2015.10.026 Dispersion relation data for methylammonium lead triiodide perovskite deposited on a (100) silicon wafer using a two-step vapour-phase reaction process, Data in Brief (2015)

Cite

Laurie J. Phillips et al.. Dispersion relation data for methylammonium lead triiodide perovskite deposited on a (100) silicon wafer using a two-step vapour-phase reaction process. Data in Brief, 5, 926-928 (2015), doi:10.1016/j.dib.2015.10.026; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

586 rows as published
CH3NH3PbI3 (Methylammonium lead iodide, MAPbI3), Phillips et al. 2015: n,k 0.3–1.5 µm: n and k versus wavelength
λ (µm)nk
0.3000095831.9807250.559247
0.3016008611.9741240.563854
0.3031921391.9677360.569127
0.3047834171.9616130.575073
0.3063747251.9558090.581694
0.3079660341.9503830.588987
0.3095573731.9453940.596945
0.3111486821.9409050.605554
0.3127400511.936980.614791
0.314331361.9336840.624628
0.315922761.9310820.635029
0.3175140991.9292350.645949
0.3191054991.9282040.657335
0.3206968691.9280450.669125
0.3222882691.9288090.681251
0.3238796691.930540.693637
0.3254710691.9332740.706198
0.32706251.9370410.718846
0.32865391.9418560.731488
0.3302453311.9477290.744029
0.3318367921.9546550.756369
0.3334282231.962620.768411
0.3350196841.9715990.780059
0.3366111451.9815520.791219
0.3382025761.9924350.801804
0.3397940372.004190.81173
0.3413855292.0167510.820922
0.342976992.0300450.829312
0.3445684812.0439940.836844
0.3461599732.0585120.843467
0.3477514342.0735110.849143
0.3493429572.0889030.853845
0.3509344182.1045950.857552
0.352525942.1204970.860258
0.3541174012.1365190.861963
0.3557089232.1525770.862678
0.3573004152.1685850.86242
0.3588919072.1844670.861216
0.3604834292.2001490.859098
0.3620749212.2155620.856105
0.3636664432.2306470.852282
0.3652579652.2453470.847674
0.3668494572.2596140.842334
0.3684409792.2734060.836315
0.3700324712.2866870.829672
0.3716239622.2994280.82246
0.3732154852.3116040.814735
0.3748069762.3231990.806553
0.3763984992.33420.797967
0.377989992.34460.789031
0.3795814822.3543960.779796
0.3811730042.3635890.770311
0.3827644652.3721830.760621
0.3843559882.3801880.750771
0.3859474492.3876140.740803
0.3875389712.3944740.730753
0.3891304322.4007840.720658
0.3907219242.406560.71055
0.3923134162.4118210.70046
0.3939048462.4165870.690414
0.3954963382.4208770.680437
0.3970877992.4247120.670551
0.398679262.4281130.660776
0.4002706912.4311020.651129
0.4018621222.4336970.641626
0.4034535832.4359220.63228
0.4050450132.4377960.623103
0.4066364142.4393380.614104
0.4082278442.4405690.605292
0.4098192752.4415080.596673
0.4114107062.4421720.588255
0.4130020452.442580.58004
0.4145934452.4427490.572033
0.4161848142.4426940.564235
0.4177762152.4424310.55665
0.4193675842.4419760.549276
0.4209589232.4413430.542116
0.4225502322.4405450.535168
0.4241416022.4395950.528432
0.425732912.4385050.521906
0.4273242192.4372870.515589
0.4289155272.4359520.509478
0.4305068362.4345110.503572
0.4320980832.4329740.497867
0.4336893622.4313490.492362
0.4352806092.4296460.487052
0.4368718872.4278730.481936
0.4384631352.4260390.477009
0.4400543522.424150.472269
0.4416455692.4222140.467712
0.4432367252.4202380.463335
0.4448279422.4182290.459134
0.4464190982.4161910.455107
0.4480102542.4141320.451248
0.4496013792.4120560.447556
0.4511925352.409970.444026
0.45278362.4078770.440655
0.4543746952.4057840.43744
0.4559657592.4036930.434377
0.4575568242.4016110.431462
0.4591478882.3995390.428693
0.4607389222.3974850.426066
0.4623299872.3954490.423578
0.4639209592.3934370.421225
0.4655119632.3914520.419003
0.4671028752.3894970.416911
0.4686938482.3875760.414944
0.470284762.3856910.413099
0.4718756712.3838460.411372
0.4734666142.3820440.409762
0.4750574652.3802870.408263
0.4766483462.3785780.406874
0.4782391662.376920.405591
0.4798299872.3753160.40441
0.4814207462.3737670.403328
0.4830115662.3722760.402342
0.4846022952.3708460.401449
0.4861930542.3694780.400646
0.4877837522.3681750.399928
0.4893744512.3669380.399293
0.4909651492.365770.398738
0.4925557562.3646720.398258
0.4941463932.3636460.397851
0.4957372.3626940.397513
0.4973275762.3618170.397241
0.4989181522.3610170.39703
0.5005086982.3602940.396879
0.5020992132.3596510.396782
0.5036896972.3590880.396737
0.5052801822.3586070.396739
0.5068706052.3582080.396786
0.5084610292.3578920.396873
0.5100514222.357660.396997
0.5116417852.3575120.397155
0.5132321172.357450.397342
0.5148224492.3574720.397555
0.516412722.3575790.39779
0.5180030522.3577720.398043
0.5195932622.3580510.398312
0.5211834722.3584140.398591
0.5227736822.3588630.398878
0.5243638312.3593960.399168
0.5259539792.3600130.399459
0.5275440672.3607120.399746
0.5291341552.3614940.400026
0.5307241822.3623580.400296
0.5323142092.3633010.400551
0.5339041752.3643230.40079
0.5354941412.3654230.401007
0.5370841062.3665980.4012
0.538673952.3678480.401366
0.5402638552.369170.401502
0.5418536992.3705630.401604
0.5434434812.3720240.401669
0.5450333252.3735510.401695
0.5466230472.3751430.40168
0.5482127692.3767960.401619
0.5498024292.3785090.401511
0.551392092.3802780.401354
0.5529816892.3821020.401145
0.5545712892.3839760.400881
0.5561608282.38590.400561
0.5577503662.3878680.400183
0.5593398442.389880.399746
0.5609293212.3919310.399247
0.5625186772.3940190.398684
0.5641080932.396140.398058
0.5656974492.3982910.397366
0.5672867432.400470.396608
0.5688760992.4026720.395782
0.5704652712.4048950.394888
0.5720545652.4071350.393925
0.5736436772.409390.392893
0.5752327882.4116560.391792
0.5768218992.4139290.390621
0.5784110112.4162070.38938
0.5800000612.4184860.38807
0.5815889892.4207630.38669
0.5831779792.4230360.385242
0.5847669072.42530.383725
0.5863557742.4275540.382141
0.587944582.4297930.38049
0.5895333862.4320160.378774
0.5911221922.4342190.376992
0.5927108762.4363990.375147
0.5942995612.4385540.37324
0.5958882452.4406820.371271
0.5974768072.4427790.369244
0.5990653692.4448430.367159
0.6006539312.4468730.365017
0.6022423712.4488650.362821
0.6038308112.4508170.360573
0.6054191892.4527290.358275
0.6070075682.4545970.355927
0.6085958862.4564190.353534
0.6101841432.4581940.351096
0.6117723392.4599210.348616
0.6133605352.4615980.346097
0.614948732.4632230.343539
0.6165368042.4647960.340947
0.6181248782.4663140.338322
0.6197128912.4677770.335666
0.6213008422.4691840.332983
0.6228887942.4705350.330274
0.6244766852.4718270.327542
0.6260644532.4730610.324789
0.6276522222.4742360.322018
0.629239992.4753520.319232
0.6308276982.4764080.316433
0.6324153442.4774040.313623
0.634002932.4783410.310805
0.6355905152.4792170.307981
0.637178042.4800330.305154
0.6387655032.4807890.302327
0.6403529052.4814860.299501
0.6419402472.4821230.29668
0.6435275882.4827010.293865
0.6451148682.4832220.291059
0.6467020262.4836840.288265
0.6482892462.4840890.285484
0.6498763432.4844380.282719
0.651463442.4847320.279972
0.6530504152.4849710.277246
0.654637392.4851570.274543
0.6562243652.485290.271865
0.6578112182.4853720.269214
0.6593980712.4854040.266592
0.6609848022.4853870.264002
0.6625715332.4853230.261445
0.6641582032.4852140.258923
0.6657448122.4850590.25644
0.667331362.4848630.253996
0.6689178472.4846250.251594
0.6705043332.4843480.249235
0.6720906982.4840330.246922
0.6736771242.4836830.244656
0.6752633672.48330.242441
0.6768496092.4828860.240276
0.6784357912.4824430.238165
0.6800219122.4819730.236109
0.6816080322.4814790.234111
0.6831940312.4809630.232171
0.6847799682.4804280.230293
0.6863659062.4798780.228478
0.6879517822.4793150.226727
0.6895375372.4787420.225043
0.6911232912.4781620.223427
0.6927089842.477580.221882
0.6942946172.4770.220409
0.6958801882.4764240.219011
0.6974656982.4758590.217688
0.6990511472.4753080.216444
0.7006365972.4747760.215279
0.7022218632.474270.214195
0.703807192.4737940.213194
0.7053923952.4733560.212277
0.7069775392.4729630.211446
0.7085626222.4726210.210701
0.7101477052.472340.210045
0.7117326662.4721280.209476
0.7133176272.4719940.208995
0.7149024662.4719510.208603
0.7164872442.4720080.208297
0.7180720212.4721780.208076
0.7196566772.4724760.207936
0.7212413332.4729150.207874
0.7228258062.4735130.207884
0.7244103392.4742860.207959
0.7259947512.4752530.208087
0.7275791632.4764320.208258
0.7291634522.4778450.208454
0.7307476812.4795120.208657
0.7323318482.4814550.208842
0.7339159552.4836940.20898
0.73552.4862490.209035
0.7370839842.4891370.208967
0.7386678472.4923720.208726
0.740251772.4959620.208256
0.7418355712.4999070.207495
0.743419252.5041960.206372
0.7450028692.5088060.204811
0.7465864872.5136990.202735
0.7481700442.5188160.200064
0.7497534792.5240780.196726
0.7513368532.5293880.192658
0.7529201662.5346250.187815
0.7545034182.5396540.182174
0.7560866092.5443270.175745
0.7576697392.5484960.168569
0.7592528082.5520180.160726
0.7608357542.5547680.152328
0.762418642.556650.143515
0.7640014652.5576020.134448
0.765584292.5576010.125295
0.7671669312.5566640.116223
0.7687495732.5548420.107384
0.7703321532.5522170.098909
0.7719146732.5488890.090901
0.7734970092.5449710.083437
0.7750794072.5405790.076563
0.7766616822.5358260.070301
0.7782438352.5308180.064653
0.7798259892.5256470.059601
0.7814080812.5203960.055117
0.7829900512.5151310.051164
0.784571962.5099080.047702
0.7861538092.5047710.044687
0.7877355352.4997540.042075
0.7893172612.4948830.039824
0.7908988652.4901760.037894
0.7924804082.4856460.036248
0.794061892.4813030.034853
0.795643252.4771540.033679
0.7972245482.4732040.032697
0.7988057862.4694620.031884
0.8003870242.4659560.031213
0.8019680792.4626910.030588
0.8035490722.4595950.029977
0.8051300052.4566380.029381
0.8067108762.4537970.0288
0.8082916262.451060.028234
0.8098723752.4484150.027681
0.8114530032.4458520.027144
0.8130335692.4433650.02662
0.8146140142.4409470.02611
0.8161944582.4385920.025615
0.817774782.4362970.025132
0.819354982.4340570.024663
0.8209351812.4318690.024207
0.8225152592.4297290.023764
0.8240952152.4276350.023333
0.825675112.4255840.022915
0.8272550052.4235740.022509
0.8288346562.4216040.022115
0.8304143682.4196710.021732
0.8319939582.4177730.021361
0.8335734252.415910.021001
0.8351529542.4140790.020652
0.8367322392.4122790.020314
0.8383115232.410510.019986
0.8398907472.408770.019669
0.8414698492.4070580.019361
0.8430488282.4053730.019064
0.8446277472.4037140.018776
0.8462065432.4020810.018497
0.8477853392.4004720.018227
0.8493640752.3988880.017967
0.8509425662.3973260.017715
0.8525211182.3957870.017472
0.8540994872.3942710.017238
0.8556778562.3927760.017011
0.8572561652.3913010.016792
0.858834292.3898470.016582
0.8604124152.3884130.016378
0.8619903562.3869980.016183
0.8635682372.3856020.015994
0.8651461182.3842250.015813
0.8667238162.3828660.015638
0.8683014532.3815250.01547
0.8698790282.38020.015309
0.8714564212.3788930.015154
0.8730338752.3776030.015006
0.8746111452.3763290.014863
0.8761883542.3750710.014727
0.8777654422.3738290.014596
0.8793424682.3726020.014471
0.8809194342.371390.014351
0.8824962772.3701930.014237
0.8840730592.3690110.014128
0.8856497192.3678430.014024
0.8872262572.3666890.013925
0.8888027342.3655490.013831
0.8903790892.3644220.013741
0.8919553832.3633090.013656
0.8935315552.3622090.013576
0.8951077272.3611220.013499
0.8966837162.3600470.013427
0.8982596442.3589850.013359
0.8998354492.3579360.013296
0.9014112552.3568980.013236
0.9029868162.3558730.013179
0.9045623782.3548590.013127
0.9061378172.3538570.013078
0.9077131962.3528650.013032
0.9092884522.3518860.01299
0.9108636472.3509170.012951
0.912438662.3499590.012915
0.9140136722.3490120.012882
0.9155885622.3480760.012852
0.9171633912.3471490.012826
0.9187379762.3462330.012802
0.9203126222.3453280.01278
0.9218870852.3444320.012762
0.9234615482.3435460.012746
0.9250358282.3426690.012732
0.9266099852.3418020.012721
0.9281840822.3409450.012712
0.9297581182.3400960.012706
0.9313320312.3392570.012702
0.9329057622.3384270.0127
0.9344794922.3376060.0127
0.9360531012.3367930.012702
0.9376266482.335990.012706
0.9392000122.3351940.012711
0.9407733152.3344070.012719
0.9423464972.3336290.012728
0.9439196172.3328580.01274
0.9454925542.3320960.012752
0.9470655522.3313420.012767
0.9486383062.3305950.012783
0.950211062.3298560.0128
0.9517835692.3291250.012819
0.9533560792.3284010.012839
0.9549285282.3276850.012861
0.9565007932.3269760.012883
0.9580729372.3262740.012908
0.959645022.325580.012933
0.961216982.3248930.012959
0.9627888792.3242120.012987
0.9643606572.3235380.013016
0.9659322512.3228720.013045
0.9675037842.3222120.013076
0.9690753172.3215580.013108
0.9706466062.3209110.01314
0.9722178962.3202710.013174
0.973788942.3196360.013208
0.9753599852.3190090.013243
0.9769308472.3183870.013279
0.9785016482.3177710.013315
0.9800723882.3171620.013353
0.9816429442.3165580.013391
0.9832135012.315960.013429
0.9847838132.3153690.013469
0.9863541262.3147820.013509
0.9879241942.3142020.013549
0.9894943242.3136270.01359
0.991064272.3130580.013631
0.9926340942.3124940.013673
0.9942037962.3119350.013716
0.9957733152.3113820.013759
0.9973428962.3108340.013802
0.9989122922.3102920.013846
1.012271792.3058720.01423
1.0157506712.3047770.014333
1.0192279052.3037040.014436
1.0227037962.3026540.014541
1.0261781012.3016240.014645
1.0296508792.3006150.01475
1.0331223142.2996260.014855
1.0365922852.2986570.01496
1.0400607912.2977070.015065
1.0435278322.2967750.01517
1.046993532.2958610.015274
1.0504578862.2949650.015378
1.0539207762.2940860.015481
1.0573824462.2932230.015584
1.0608426512.2923770.015685
1.0643015142.2915470.015787
1.0677591552.2907320.015887
1.0712155762.2899320.015986
1.0746705322.2891460.016084
1.0781242682.2883750.016182
1.0815769042.2876170.016278
1.0850280762.2868740.016373
1.0884781492.2861430.016467
1.0919270022.2854250.01656
1.0953746342.284720.016651
1.0988210452.2840270.016741
1.1022663572.2833460.01683
1.1057105712.2826760.016918
1.1091535642.2820180.017004
1.1125954592.2813720.017089
1.1160361332.2807350.017172
1.119475832.280110.017254
1.1229144292.2794940.017335
1.1263520512.2788890.017414
1.1297884522.2782940.017492
1.1332238772.2777080.017569
1.1366584472.2771310.017644
1.1400919192.2765640.017718
1.1435242922.2760050.01779
1.1469558112.2754550.01786
1.150386232.2749140.01793
1.1538157962.2743810.017998
1.1572443852.2738570.018064
1.1606721192.273340.018129
1.1640989992.272830.018193
1.1675249022.2723290.018255
1.1709499512.2718350.018316
1.1743741462.2713480.018375
1.1777974852.2708680.018433
1.1812199712.2703960.01849
1.1846417242.2699290.018545
1.1880626222.269470.018599
1.1914826662.2690170.018651
1.19490212.268570.018703
1.1983205572.268130.018752
1.2017385252.2676950.018801
1.2051555182.2672670.018848
1.2085720212.2668440.018894
1.2119876712.2664270.018939
1.215402712.2660160.018982
1.2188171392.265610.019024
1.2222307132.2652090.019065
1.2256437992.2648140.019105
1.2290563962.2644240.019143
1.232468142.2640380.01918
1.2358793952.2636580.019216
1.2392900392.2632820.019251
1.2427000732.2629110.019285
1.2461096192.2625450.019317
1.2495186772.2621830.019349
1.2529270022.2618260.019379
1.2563350832.2614720.019408
1.2597424322.2611240.019436
1.2631495362.2607790.019464
1.266556032.2604380.019489
1.2699621582.2601020.019514
1.2733677982.2597690.019538
1.2767729492.259440.019561
1.2801778562.2591150.019583
1.2835822752.2587930.019604
1.2869862062.2584760.019624
1.2903898932.2581610.019643
1.2937932132.257850.019661
1.2971962892.2575430.019678
1.3005989992.2572390.019694
1.3040013432.2569380.019709
1.3074035642.256640.019723
1.3108052982.2563460.019737
1.3142067872.2560550.019749
1.3176081542.2557660.019761
1.3210092772.2554810.019771
1.3244101562.2551980.019781
1.3278107912.2549190.019791
1.3312113042.2546420.019799
1.3346115722.2543680.019807
1.3380117192.2540970.019813
1.3414118652.2538280.019819
1.3448116462.2535620.019825
1.3482114262.2532990.019829
1.3516110842.2530380.019833
1.3550107422.2527790.019836
1.3584102782.2525230.019838
1.3618096922.252270.01984
1.3652091062.2520180.019841
1.3686085212.2517690.019841
1.3720079352.2515230.01984
1.3754073492.2512780.019839
1.3788067632.2510360.019837
1.3822061772.2507950.019835
1.3856057132.2505570.019832
1.3890051272.2503210.019828
1.3924047852.2500870.019824
1.3958044432.2498550.019819
1.3992043462.2496250.019814
1.4026042482.2493970.019808
1.4060043952.2491710.019801
1.4094045412.2489460.019794
1.4128049322.2487240.019786
1.4162055662.2485030.019778
1.4196063232.2482840.019769
1.4230073242.2480670.01976
1.4264084472.2478510.01975
1.4298099372.2476370.019739
1.433211672.2474250.019729
1.4366135252.2472140.019717
1.4400158692.2470050.019705
1.4434183352.2467980.019693
1.4468211672.2465920.01968
1.4502243652.2463870.019667
1.453627932.2461850.019653
1.4570317382.2459830.019639
1.4604360352.2457830.019625
1.4638405762.2455840.01961
1.4672456052.2453870.019594
1.4706511232.2451920.019578
1.4740568852.2449970.019562
1.4774631352.2448040.019545
1.4808698732.2446120.019528
1.48427712.2444210.019511
1.4876848142.2442320.019493
1.4910930182.2440440.019475
1.4945018312.2438570.019456
1.4979111332.2436720.019437
1.5013209232.2434870.019418

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
—