Optical constants

Refractive index of CH3NH3PbBr3 (Methylammonium lead tribromide, MAPbBr3)

McCleese et al. 2024: n,k 0.200–2.50 µm

Data
tabulated nk
Range
0.2–2.5 µm
Points
2301
State
crystalline
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.2–2.5 µm
Refractive index n
2.23523
Extinction coefficient k
1.00000e-06
Permittivity ε1
4.99626
Permittivity ε2
4.47046e-06
Absorption coefficient α
0.213859 cm⁻¹
Penetration depth δ = λ/(2πk)
9.35194e+07 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-1.83 µm⁻¹
Group index ng
3.31054
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

# CH3NH3PbBr3 (Methylammonium lead tribromide, MAPbBr3): McCleese et al. 2024: n,k 0.200–2.50 µm
ch3nh3pbbr3 = ls.fetch_refractiveindex("other", "CH3NH3PbBr3", "McCleese", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ch3nh3pbbr3.range_nm)  # (200, 2500) nm
eps = ch3nh3pbbr3.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

Crystal orientation: <100>; Solution-grown single crystal; Room temperature.

References

C. L. McCleese, M. C. Brennan, N. Episcopo, L. Sun, N. Hong, C. V. Ramana, T. A. Grusenmeyer, P. R. Stevenson. CH3NH3PbBr3 for optimized perovskite solar cell active layer absorptance. Adv. Photonics Res. 2400019 (2024) (Numerical data kindly provided by Michael Brennan)
  • doi:10.1002/adpr.202400019 Optical Dispersion Data Analysis of Single‐Crystal CH <sub>3</sub> NH <sub>3</sub> PbBr <sub>3</sub> for Optimized Perovskite Solar Cell Active Layer Absorptance, Advanced Photonics Research (2024)

Cite

Christopher L. McCleese et al.. Optical Dispersion Data Analysis of Single‐Crystal CH <sub>3</sub> NH <sub>3</sub> PbBr <sub>3</sub> for Optimized Perovskite Solar Cell Active Layer Absorptance. Advanced Photonics Research, 5, 2400019 (2024), doi:10.1002/adpr.202400019; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

2301 rows as published
CH3NH3PbBr3 (Methylammonium lead tribromide, MAPbBr3), McCleese et al. 2024: n,k 0.200–2.50 µm: n and k versus wavelength
λ (µm)nk
0.21.503750.96092
0.2011.539930.93992
0.2021.570940.9185
0.2031.596980.89674
0.2041.618320.87483
0.2051.635290.853
0.2061.648230.83177
0.2071.657510.81165
0.2081.663550.79302
0.2091.666820.77619
0.211.667880.76132
0.2111.667480.74844
0.2121.666470.7375
0.2131.665260.72833
0.2141.66410.72071
0.2151.66310.71433
0.2161.662340.7089
0.2171.661850.70417
0.2181.661610.69992
0.2191.661570.69595
0.221.661650.69212
0.2211.661750.68831
0.2221.661690.68447
0.2231.661240.6806
0.2241.660190.67673
0.2251.658460.67293
0.2261.656020.6693
0.2271.652880.66594
0.2281.649040.66299
0.2291.644540.66052
0.231.639410.65863
0.2311.633710.6574
0.2321.62750.65692
0.2331.620830.65723
0.2341.613780.65841
0.2351.606440.66049
0.2361.598910.66352
0.2371.591280.66753
0.2381.583660.67252
0.2391.576120.67851
0.241.568740.6855
0.2411.561620.69349
0.2421.554840.70246
0.2431.548490.7124
0.2441.542660.72328
0.2451.537440.73509
0.2461.532920.74778
0.2471.529190.76131
0.2481.526360.77562
0.2491.524520.79062
0.251.523780.80623
0.2511.524270.82231
0.2521.526070.83874
0.2531.529180.85539
0.2541.53360.87212
0.2551.539280.88878
0.2561.546180.90526
0.2571.554240.92145
0.2581.563390.93726
0.2591.573580.95262
0.261.584720.96745
0.2611.596760.98169
0.2621.609610.99531
0.2631.623221.00826
0.2641.637521.02051
0.2651.652431.03204
0.2661.667911.04282
0.2671.683881.05285
0.2681.700311.0621
0.2691.717131.07058
0.271.734291.07828
0.2711.751741.08519
0.2721.769431.09133
0.2731.787321.09668
0.2741.805371.10126
0.2751.823531.10508
0.2761.841771.10814
0.2771.860041.11044
0.2781.878321.11201
0.2791.896561.11285
0.281.914741.11297
0.2811.932821.11239
0.2821.950771.11111
0.2831.968551.10915
0.2841.986141.10653
0.2852.00351.10327
0.2862.020591.09939
0.2872.037371.09491
0.2882.053821.08988
0.2892.069911.0843
0.292.085641.07822
0.2912.101011.07167
0.2922.115991.06467
0.2932.130591.05725
0.2942.14481.04942
0.2952.158611.04122
0.2962.172021.03265
0.2972.185021.02373
0.2982.197611.01449
0.2992.209791.00493
0.32.221540.99508
0.3012.232870.98494
0.3022.243750.97453
0.3032.25420.96386
0.3042.264180.95294
0.3052.273710.9418
0.3062.282750.93043
0.3072.291290.91888
0.3082.299310.90715
0.3092.306760.89529
0.312.313640.88333
0.3112.319950.8713
0.3122.325680.85925
0.3132.330860.84721
0.3142.335480.83522
0.3152.339560.82332
0.3162.343120.81153
0.3172.346170.79988
0.3182.348730.7884
0.3192.350810.77712
0.322.352440.76606
0.3212.353630.75524
0.3222.354410.7447
0.3232.354790.73444
0.3242.35480.72448
0.3252.354460.71486
0.3262.353790.70558
0.3272.352830.69666
0.3282.35160.68813
0.3292.350130.67999
0.332.348460.67225
0.3312.346610.66495
0.3322.344630.65806
0.3332.342560.65161
0.3342.340460.64557
0.3352.338390.63994
0.3362.336390.63468
0.3372.334480.62979
0.3382.332690.62523
0.3392.331020.62096
0.342.329490.61697
0.3412.328110.61323
0.3422.326880.60971
0.3432.325820.60639
0.3442.324930.60325
0.3452.324210.60027
0.3462.323660.59743
0.3472.323280.59471
0.3482.323080.59208
0.3492.323050.58954
0.352.323180.58707
0.3512.323480.58465
0.3522.323940.58226
0.3532.324550.57989
0.3542.325320.57753
0.3552.326230.57516
0.3562.327270.57278
0.3572.328450.57037
0.3582.329750.56791
0.3592.331160.5654
0.362.332670.56283
0.3612.334280.56019
0.3622.335960.55747
0.3632.337720.55466
0.3642.339530.55177
0.3652.341370.54878
0.3662.343240.54571
0.3672.345120.54255
0.3682.347010.5393
0.3692.348890.53597
0.372.350770.53256
0.3712.352630.52908
0.3722.354480.52551
0.3732.35630.52188
0.3742.35810.51818
0.3752.359860.51441
0.3762.361590.51057
0.3772.363280.50667
0.3782.364920.50271
0.3792.366520.49869
0.382.368070.49461
0.3812.369560.49047
0.3822.3710.48628
0.3832.372380.48203
0.3842.373690.47774
0.3852.374930.47339
0.3862.37610.46899
0.3872.37720.46455
0.3882.378210.46006
0.3892.379140.45552
0.392.379970.45095
0.3912.380710.44633
0.3922.381350.44167
0.3932.381870.43697
0.3942.382270.43224
0.3952.382530.42748
0.3962.382650.42269
0.3972.38260.41787
0.3982.382360.41305
0.3992.381870.40831
0.42.381070.40376
0.4012.379770.39956
0.4022.377960.39578
0.4032.375890.39239
0.4042.37420.38923
0.4052.373570.38614
0.4062.374030.38301
0.4072.37510.37973
0.4082.375780.37624
0.4092.375630.37255
0.412.374710.36871
0.4112.373480.36486
0.4122.372370.36115
0.4132.37150.35761
0.4142.370820.3542
0.4152.370170.35085
0.4162.369480.34748
0.4172.36870.3441
0.4182.367820.34072
0.4192.366820.33737
0.422.36570.33408
0.4212.364480.33089
0.4222.36320.3278
0.4232.361890.32484
0.4242.360580.32198
0.4252.359340.31919
0.4262.358220.31645
0.4272.357210.31373
0.4282.356260.31102
0.4292.355230.30834
0.432.354050.3057
0.4312.352730.30311
0.4322.351340.30057
0.4332.350020.2981
0.4342.348840.29568
0.4352.347780.2933
0.4362.346760.29094
0.4372.345650.28861
0.4382.344410.2863
0.4392.343050.28403
0.442.341660.28183
0.4412.340310.27969
0.4422.339060.27761
0.4432.337880.27558
0.4442.336730.27358
0.4452.335530.27163
0.4462.334270.26971
0.4472.332950.26785
0.4482.331620.26603
0.4492.330350.26427
0.452.329150.26255
0.4512.328010.26087
0.4522.326910.25921
0.4532.325780.25758
0.4542.324610.25597
0.4552.32340.2544
0.4562.322160.25288
0.4572.320920.25141
0.4582.319710.25001
0.4592.318540.24868
0.462.31740.24739
0.4612.316330.24613
0.4622.315320.24489
0.4632.314360.24365
0.4642.313430.24242
0.4652.312490.24119
0.4662.31150.23998
0.4672.310460.23881
0.4682.309360.23768
0.4692.308240.23662
0.472.307150.23561
0.4712.306120.23467
0.4722.305160.23378
0.4732.304270.23293
0.4742.303410.2321
0.4752.302580.23129
0.4762.301750.23049
0.4772.300920.22972
0.4782.300090.22897
0.4792.299260.22826
0.482.298430.2276
0.4812.29760.22698
0.4822.296790.22642
0.4832.296020.22591
0.4842.295310.22543
0.4852.294670.22497
0.4862.294090.22452
0.4872.293540.22409
0.4882.292990.22366
0.4892.292390.22326
0.492.291720.2229
0.4912.2910.22261
0.4922.290230.22241
0.4932.289470.22231
0.4942.288760.2223
0.4952.288130.2224
0.4962.287570.22259
0.4972.287080.22285
0.4982.286630.22319
0.4992.28620.2236
0.52.285790.2241
0.5012.285380.2247
0.5022.284990.22542
0.5032.284610.22628
0.5042.284240.22732
0.5052.283890.22856
0.5062.28360.23003
0.5072.283390.23174
0.5082.28330.23374
0.5092.283370.23603
0.512.283640.23863
0.5112.284170.24157
0.5122.284980.24489
0.5132.28610.24862
0.5142.287560.25283
0.5152.289450.25759
0.5162.291920.26294
0.5172.295210.26885
0.5182.299670.27521
0.5192.305850.28179
0.522.314190.28831
0.5212.324830.29438
0.5222.337770.29953
0.5232.352940.3032
0.5242.370260.3048
0.5252.389640.30375
0.5262.410660.29945
0.5272.432690.2914
0.5282.454860.27934
0.5292.475980.26337
0.532.494080.24391
0.5312.507440.22166
0.5322.515470.19763
0.5332.51810.17303
0.5342.515610.14903
0.5352.508750.12654
0.5362.499120.10619
0.5372.487960.08836
0.5382.475960.07316
0.5392.463630.06048
0.542.451320.05003
0.5412.439330.04152
0.5422.42790.03465
0.5432.417190.02915
0.5442.407310.02473
0.5452.398320.0211
0.5462.390170.01806
0.5472.382760.01541
0.5482.375820.01304
0.5492.369150.01087
0.552.362660.00887
0.5512.35630.00706
0.5522.350060.00547
0.5532.343960.00411
0.5542.338060.00301
0.5552.332420.00215
0.5562.327060.0015
0.5572.321990.00103
0.5582.317210.000703
0.5592.312710.000479
0.562.308460.000329
0.5612.304410.000228
0.5622.300550.00016
0.5632.296860.000112
0.5642.293337.97e-05
0.5652.289945.77e-05
0.5662.286684.31e-05
0.5672.283543.33e-05
0.5682.28052.63e-05
0.5692.277572.1e-05
0.572.274721.69e-05
0.5712.271971.34e-05
0.5722.269291.07e-05
0.5732.26678.57e-06
0.5742.264176.86e-06
0.5752.261715.57e-06
0.5762.259314.57e-06
0.5772.256973.71e-06
0.5782.254693.14e-06
0.5792.252472.71e-06
0.582.250292.43e-06
0.5812.248172.14e-06
0.5822.246091.86e-06
0.5832.244061.57e-06
0.5842.242071.43e-06
0.5852.240121.29e-06
0.5862.238211.14e-06
0.5872.236331e-06
0.5882.23451e-06
0.5892.23271e-06
0.592.230931e-06
0.5912.229191e-06
0.5922.227491e-06
0.5932.225811e-06
0.5942.224171e-06
0.5952.222551e-06
0.5962.220961e-06
0.5972.21941e-06
0.5982.217861e-06
0.5992.216341e-06
0.62.214851e-06
0.6012.213391e-06
0.6022.211941e-06
0.6032.210521e-06
0.6042.209121e-06
0.6052.207741e-06
0.6062.206381e-06
0.6072.205041e-06
0.6082.203711e-06
0.6092.202411e-06
0.612.201121e-06
0.6112.199861e-06
0.6122.198611e-06
0.6132.197371e-06
0.6142.196151e-06
0.6152.194951e-06
0.6162.193761e-06
0.6172.192591e-06
0.6182.191431e-06
0.6192.190291e-06
0.622.189161e-06
0.6212.188051e-06
0.6222.186941e-06
0.6232.185861e-06
0.6242.184781e-06
0.6252.183721e-06
0.6262.182671e-06
0.6272.181631e-06
0.6282.18061e-06
0.6292.179581e-06
0.632.178581e-06
0.6312.177591e-06
0.6322.176611e-06
0.6332.175631e-06
0.6342.174671e-06
0.6352.173721e-06
0.6362.172781e-06
0.6372.171851e-06
0.6382.170931e-06
0.6392.170021e-06
0.642.169121e-06
0.6412.168231e-06
0.6422.167341e-06
0.6432.166471e-06
0.6442.16561e-06
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0.6462.16391e-06
0.6472.163051e-06
0.6482.162221e-06
0.6492.16141e-06
0.652.160581e-06
0.6512.159771e-06
0.6522.158971e-06
0.6532.158181e-06
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0.6552.156611e-06
0.6562.155841e-06
0.6572.155071e-06
0.6582.154321e-06
0.6592.153571e-06
0.662.152821e-06
0.6612.152081e-06
0.6622.151351e-06
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0.6642.149911e-06
0.6652.14921e-06
0.6662.148491e-06
0.6672.147791e-06
0.6682.147091e-06
0.6692.146411e-06
0.672.145721e-06
0.6712.145051e-06
0.6722.144381e-06
0.6732.143711e-06
0.6742.143051e-06
0.6752.14241e-06
0.6762.141751e-06
0.6772.14111e-06
0.6782.140461e-06
0.6792.139831e-06
0.682.13921e-06
0.6812.138581e-06
0.6822.137961e-06
0.6832.137341e-06
0.6842.136731e-06
0.6852.136131e-06
0.6862.135531e-06
0.6872.134941e-06
0.6882.134341e-06
0.6892.133761e-06
0.692.133181e-06
0.6912.13261e-06
0.6922.132031e-06
0.6932.131461e-06
0.6942.130891e-06
0.6952.130331e-06
0.6962.129781e-06
0.6972.129231e-06
0.6982.128681e-06
0.6992.128131e-06
0.72.127591e-06
0.7012.127061e-06
0.7022.126531e-06
0.7032.1261e-06
0.7042.125471e-06
0.7052.124951e-06
0.7062.124431e-06
0.7072.123921e-06
0.7082.123411e-06
0.7092.12291e-06
0.712.12241e-06
0.7112.12191e-06
0.7122.121411e-06
0.7132.120911e-06
0.7142.120421e-06
0.7152.119941e-06
0.7162.119461e-06
0.7172.118981e-06
0.7182.11851e-06
0.7192.118031e-06
0.722.117561e-06
0.7212.117091e-06
0.7222.116631e-06
0.7232.116171e-06
0.7242.115711e-06
0.7252.115261e-06
0.7262.11481e-06
0.7272.114361e-06
0.7282.113911e-06
0.7292.113471e-06
0.732.113031e-06
0.7312.112591e-06
0.7322.112161e-06
0.7332.111721e-06
0.7342.11131e-06
0.7352.110871e-06
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0.7492.105181e-06
0.752.104791e-06
0.7512.10441e-06
0.7522.104021e-06
0.7532.103641e-06
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0.7562.10251e-06
0.7572.102131e-06
0.7582.101761e-06
0.7592.101391e-06
0.762.101031e-06
0.7612.100661e-06
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2.1971.998490.00229
2.1981.998480.00231
2.1991.998470.00232

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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
—