Optical constants

Refractive index of CH3NH3PbI3 (Methylammonium lead iodide, MAPbI3)

Ball et al. 2015: n,k 0.3–0.9 µm

Data
tabulated nk
Range
0.301–0.899 µm
Points
599
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.301–0.899 µm
Refractive index n
2.51771
Extinction coefficient k
0.513342
Permittivity ε1
6.07533
Permittivity ε2
2.58489
Absorption coefficient α
109783 cm⁻¹
Penetration depth δ = λ/(2πk)
182.178 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.12 µm⁻¹
Group index ng
2.58822
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): Ball et al. 2015: n,k 0.3–0.9 µm
ch3nh3pbi3 = ls.fetch_refractiveindex("other", "CH3NH3PbI3", "Ball", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ch3nh3pbi3.range_nm)  # (301, 899) 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.

References

J. M. Ball, S. D. Stranks, M. T. Hörantner, S. Hüttner, W. Zhang, E. J. W. Crossland, I. Ramirez, M. Riede, M. B. Johnston, R. H. Friend, H. J. Snaith. Optical properties and limiting photocurrent of thin-film perovskite solar cells. Energy Environ. Sci 8, 602-609 (2015) (See Supplementary materials)
  • doi:10.1039/c4ee03224a Optical properties and limiting photocurrent of thin-film perovskite solar cells, Energy & Environmental Science (2015)

Cite

James M. Ball et al.. Optical properties and limiting photocurrent of thin-film perovskite solar cells. Energy & Environmental Science, 8, 602-609 (2015), doi:10.1039/c4ee03224a; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

599 rows as published
CH3NH3PbI3 (Methylammonium lead iodide, MAPbI3), Ball et al. 2015: n,k 0.3–0.9 µm: n and k versus wavelength
λ (µm)nk
0.3011.489520.8304
0.3021.484780.8345
0.3031.48040.83925
0.3041.476420.84455
0.3051.472980.85049
0.3061.469930.85698
0.3071.46740.86393
0.3081.465380.87129
0.3091.463860.87895
0.311.462910.88704
0.3111.462420.89544
0.3121.462480.90408
0.3131.463010.91286
0.3141.464140.92189
0.3151.465740.93109
0.3161.46790.9404
0.3171.470550.94973
0.3181.473650.95914
0.3191.477310.96861
0.321.481530.97807
0.3211.486120.98744
0.3221.49120.99677
0.3231.496841.00611
0.3241.502871.01522
0.3251.509281.02417
0.3261.516181.03313
0.3271.523511.04186
0.3281.531181.05039
0.3291.539241.05858
0.331.547751.0667
0.3311.556551.0746
0.3321.565651.08215
0.3331.575161.08945
0.3341.58491.09645
0.3351.594961.10312
0.3361.605241.10952
0.3371.615911.11566
0.3381.626681.12135
0.3391.63771.12679
0.341.648921.13183
0.3411.660441.13654
0.3421.671921.14088
0.3431.683661.14485
0.3441.695541.14847
0.3451.70741.15164
0.3461.719421.15449
0.3471.731611.15691
0.3481.743761.15902
0.3491.755881.16072
0.351.768071.16202
0.3511.780261.16302
0.3521.792341.16357
0.3531.804491.1638
0.3541.816481.16367
0.3551.828421.16315
0.3561.840361.16229
0.3571.852121.16104
0.3581.86371.15955
0.3591.875281.15769
0.361.886671.15554
0.3611.897761.1531
0.3621.908821.15033
0.3631.919611.1473
0.3641.930211.14398
0.3651.940711.14044
0.3661.950871.13655
0.3671.960751.13258
0.3681.970561.1283
0.3691.980051.12386
0.371.98931.11922
0.3711.998291.1144
0.3722.007031.10943
0.3732.015581.1043
0.3742.023821.09895
0.3752.031751.09362
0.3762.039471.08809
0.3772.046971.08248
0.3782.054181.07684
0.3792.061041.07111
0.382.067771.06527
0.3812.074141.05946
0.3822.080341.05353
0.3832.086251.04765
0.3842.09191.04174
0.3852.097321.03577
0.3862.102481.02988
0.3872.107421.02398
0.3882.11211.0181
0.3892.116551.0123
0.392.120851.00649
0.3912.124931.00072
0.3922.128750.99505
0.3932.132410.9894
0.3942.135880.98384
0.3952.13910.97839
0.3962.14220.97297
0.3972.145130.96769
0.3982.147910.96246
0.3992.150470.95732
0.42.15290.95231
0.4012.155210.9474
0.4022.157420.94258
0.4032.159350.93793
0.4042.161260.93333
0.4052.163080.92888
0.4062.164730.92454
0.4072.16630.92029
0.4082.167760.9162
0.4092.169160.91224
0.412.170430.90836
0.4112.171640.90465
0.4122.172740.90104
0.4132.173840.89755
0.4142.174870.89421
0.4152.175840.89098
0.4162.176720.88786
0.4172.177640.88491
0.4182.178420.88205
0.4192.179260.87933
0.422.180030.87671
0.4212.180770.87421
0.4222.181590.87184
0.4232.182310.86959
0.4242.183050.86744
0.4252.183770.86542
0.4262.18450.86349
0.4272.185230.86169
0.4282.185960.86
0.4292.186770.85839
0.432.187530.85688
0.4312.188370.8555
0.4322.189220.85419
0.4332.190140.85299
0.4342.191020.85186
0.4352.1920.85082
0.4362.193060.84988
0.4372.194080.84901
0.4382.195180.84821
0.4392.196360.84749
0.442.197580.84684
0.4412.198840.84626
0.4422.200180.84574
0.4432.20160.84526
0.4442.203060.84486
0.4452.204640.8445
0.4462.206220.84419
0.4472.207870.84391
0.4482.209570.84369
0.4492.21140.84349
0.452.213350.84333
0.4512.215290.84319
0.4522.217310.84307
0.4532.219380.84298
0.4542.221590.8429
0.4552.223890.84283
0.4562.22620.84276
0.4572.228590.8427
0.4582.231130.84264
0.4592.233720.84257
0.462.236390.8425
0.4612.239060.8424
0.4622.241830.8423
0.4632.244750.84217
0.4642.247650.84202
0.4652.250630.84184
0.4662.253760.84163
0.4672.25690.84139
0.4682.260070.84111
0.4692.263330.84078
0.472.266660.84042
0.4712.270020.84001
0.4722.273450.83954
0.4732.276970.83903
0.4742.280490.83847
0.4752.28410.83784
0.4762.287750.83716
0.4772.291410.83641
0.4782.295070.8356
0.4792.298850.83472
0.482.302630.83378
0.4812.306380.83278
0.4822.310280.83169
0.4832.314140.83054
0.4842.317960.82933
0.4852.321940.82803
0.4862.325850.82666
0.4872.329750.82521
0.4882.333690.8237
0.4892.337620.8221
0.492.341520.82043
0.4912.345520.81869
0.4922.349410.81687
0.4932.353350.81499
0.4942.357290.81302
0.4952.36120.81097
0.4962.365090.80886
0.4972.368910.80668
0.4982.372760.80442
0.4992.376570.80209
0.52.380350.79969
0.5012.38410.79724
0.5022.387820.7947
0.5032.391560.7921
0.5042.395240.78944
0.5052.398790.78672
0.5062.402370.78395
0.5072.405910.7811
0.5082.409450.7782
0.5092.412870.77525
0.512.416250.77225
0.5112.419520.7692
0.5122.422810.7661
0.5132.42610.76294
0.5142.429280.75973
0.5152.432390.75649
0.5162.435420.75323
0.5172.438470.74991
0.5182.441420.74654
0.5192.444320.74315
0.522.447120.73971
0.5212.449910.73628
0.5222.452610.7328
0.5232.455280.72928
0.5242.457840.72574
0.5252.46040.72218
0.5262.462890.71859
0.5272.465220.71499
0.5282.467620.71141
0.5292.469890.70778
0.532.472090.70413
0.5312.474280.70048
0.5322.476370.69681
0.5332.478410.69314
0.5342.480360.68946
0.5352.482230.68578
0.5362.484140.68213
0.5372.485870.67844
0.5382.487660.67475
0.5392.489310.67107
0.542.490890.66739
0.5412.492480.66372
0.5422.494040.66005
0.5432.495450.65639
0.5442.496860.65273
0.5452.498230.64909
0.5462.499460.64546
0.5472.500670.64185
0.5482.501890.63827
0.5492.503020.63468
0.552.504120.63111
0.5512.50520.62755
0.5522.506170.62401
0.5532.507080.62048
0.5542.508020.61697
0.5552.508870.61348
0.5562.509640.61002
0.5572.510440.60657
0.5582.511170.60315
0.5592.51180.59975
0.562.512510.59637
0.5612.513080.59302
0.5622.513630.58968
0.5632.514150.58637
0.5642.514640.58309
0.5652.51510.57983
0.5662.515510.5766
0.5672.515930.57339
0.5682.516290.5702
0.5692.516560.56706
0.572.516880.56392
0.5712.517130.56083
0.5722.517370.55775
0.5732.517510.5547
0.5742.517730.55168
0.5752.517850.54869
0.5762.517970.54572
0.5772.51810.54279
0.5782.518120.53987
0.5792.51820.53696
0.582.51820.53411
0.5812.51820.53129
0.5822.51820.52849
0.5832.518170.52572
0.5842.51810.52298
0.5852.518030.52026
0.5862.517910.51757
0.5872.517780.51492
0.5882.517660.51229
0.5892.517480.50968
0.592.517320.50709
0.5912.51710.50454
0.5922.516950.50202
0.5932.51670.49953
0.5942.516460.49707
0.5952.516210.49463
0.5962.515970.49222
0.5972.515690.48982
0.5982.515380.48746
0.5992.515140.48513
0.62.514790.48282
0.6012.514520.48055
0.6022.514160.47828
0.6032.513790.47604
0.6042.513510.47384
0.6052.513160.47167
0.6062.512790.46953
0.6072.512420.46739
0.6082.512050.46528
0.6092.511590.46321
0.612.511220.46116
0.6112.510860.45914
0.6122.510420.45712
0.6132.510020.45515
0.6142.509640.4532
0.6152.509190.45126
0.6162.508760.44935
0.6172.508350.44747
0.6182.507890.44561
0.6192.507490.44376
0.622.507050.44195
0.6212.506620.44017
0.6222.506220.4384
0.6232.505740.43664
0.6242.505290.43492
0.6252.504860.43322
0.6262.504370.43153
0.6272.503980.42986
0.6282.503490.42823
0.6292.503050.42661
0.632.502610.42501
0.6312.502120.42344
0.6322.501730.42187
0.6332.501240.42035
0.6342.500810.41883
0.6352.500360.41733
0.6362.499980.41587
0.6372.499480.4144
0.6382.499050.41297
0.6392.49860.41155
0.642.498210.41015
0.6412.497740.40878
0.6422.497330.40741
0.6432.496910.40608
0.6442.496450.40476
0.6452.496070.40346
0.6462.495610.40217
0.6472.495190.4009
0.6482.494770.39966
0.6492.49440.39842
0.652.494020.39721
0.6512.493570.39601
0.6522.49320.39484
0.6532.492830.39368
0.6542.492470.39254
0.6552.49210.39141
0.6562.491730.39031
0.6572.491360.38921
0.6582.4910.38813
0.6592.490630.38707
0.662.490260.38603
0.6612.489960.385
0.6622.489630.38399
0.6632.489270.38299
0.6642.488990.38202
0.6652.488680.38105
0.6662.488350.3801
0.6672.488090.37917
0.6682.487820.37825
0.6692.48750.37736
0.672.487250.37647
0.6712.487010.3756
0.6722.486760.37474
0.6732.486520.3739
0.6742.486270.37308
0.6752.486110.37227
0.6762.485880.37147
0.6772.485670.37069
0.6782.485490.36992
0.6792.485320.36917
0.682.48520.36841
0.6812.484980.36769
0.6822.484850.36698
0.6832.484730.36628
0.6842.484610.3656
0.6852.484590.36493
0.6862.484460.36427
0.6872.48440.36363
0.6882.484320.363
0.6892.48430.36238
0.692.48430.36177
0.6912.48430.36118
0.6922.48430.3606
0.6932.48430.36003
0.6942.484320.35948
0.6952.484440.35894
0.6962.48450.3584
0.6972.484590.35789
0.6982.484710.35738
0.6992.484830.35689
0.72.485020.3564
0.7012.485180.35593
0.7022.485410.35547
0.7032.485650.35501
0.7042.48590.35457
0.7052.486150.35415
0.7062.486490.35372
0.7072.486760.35331
0.7082.487130.35291
0.7092.48750.35251
0.712.487860.35212
0.7112.488340.35175
0.7122.488840.35137
0.7132.489330.351
0.7142.489820.35064
0.7152.490420.35028
0.7162.491030.34993
0.7172.491650.34958
0.7182.492340.34924
0.7192.493080.34889
0.722.493810.34855
0.7212.494590.3482
0.7222.495460.34785
0.7232.496320.3475
0.7242.49720.34714
0.7252.498180.34678
0.7262.499220.34641
0.7272.500330.34603
0.7282.501450.34563
0.7292.502650.34521
0.732.503860.34479
0.7312.505140.34435
0.7322.506570.34387
0.7332.507950.34337
0.7342.509430.34284
0.7352.510980.34228
0.7362.512570.34168
0.7372.514290.34104
0.7382.516020.34034
0.7392.517810.33959
0.742.519740.33879
0.7412.521720.33791
0.7422.523720.33696
0.7432.525820.33594
0.7442.5280.33482
0.7452.530220.33363
0.7462.532570.3323
0.7472.534910.33088
0.7482.537330.32933
0.7492.53980.32766
0.752.542390.32583
0.7512.544980.32385
0.7522.547570.32172
0.7532.550170.31941
0.7542.552860.31692
0.7552.555490.31423
0.7562.558140.31134
0.7572.560740.30825
0.7582.563320.30494
0.7592.565790.30139
0.762.568210.29763
0.7612.570480.29365
0.7622.57260.28946
0.7632.574550.28502
0.7642.576370.28036
0.7652.577960.27551
0.7662.579250.27051
0.7672.580330.26534
0.7682.581070.26002
0.7692.58150.25461
0.772.581690.24913
0.7712.581450.24355
0.7722.580880.23801
0.7732.579960.23251
0.7742.578680.22707
0.7752.577090.22173
0.7762.575150.21651
0.7772.572940.2115
0.7782.570440.2067
0.7792.567640.20212
0.782.564620.19778
0.7812.561480.19376
0.7822.558130.19001
0.7832.554670.18654
0.7842.551060.18338
0.7852.547430.18055
0.7862.54380.178
0.7872.540090.17572
0.7882.53650.17376
0.7892.53290.17206
0.792.529370.17062
0.7912.5260.16941
0.7922.522770.16844
0.7932.519610.16767
0.7942.516710.16709
0.7952.514020.16667
0.7962.511540.16629
0.7972.509320.16592
0.7982.507130.16553
0.7992.505120.16515
0.82.503130.16476
0.8012.50130.16437
0.8022.499510.16397
0.8032.49780.16358
0.8042.496080.16318
0.8052.49450.16278
0.8062.492970.16238
0.8072.491430.16198
0.8082.490030.16158
0.8092.488570.16118
0.812.48720.16078
0.8112.485840.16038
0.8122.484470.15998
0.8132.483230.15958
0.8142.481980.15919
0.8152.480740.15879
0.8162.47950.15839
0.8172.478370.15799
0.8182.477210.1576
0.8192.476030.15721
0.822.474910.15682
0.8212.47390.15643
0.8222.472780.15604
0.8232.471720.15564
0.8242.470720.15526
0.8252.469630.15487
0.8262.468630.15449
0.8272.46770.1541
0.8282.466750.15373
0.8292.465760.15334
0.832.464850.15296
0.8312.463920.15259
0.8322.462970.15221
0.8332.462070.15183
0.8342.46120.15145
0.8352.460330.15108
0.8362.459460.15072
0.8372.458590.15035
0.8382.457740.14998
0.8392.456950.14961
0.842.456080.14925
0.8412.45530.14888
0.8422.454460.14852
0.8432.453710.14816
0.8442.452890.14781
0.8452.452120.14745
0.8462.451370.14709
0.8472.450620.14674
0.8482.449870.14638
0.8492.449120.14603
0.852.448370.14568
0.8512.447680.14534
0.8522.446980.14499
0.8532.446230.14464
0.8542.445580.1443
0.8552.444840.14396
0.8562.444160.14362
0.8572.443440.14328
0.8582.442810.14294
0.8592.442140.14261
0.862.441460.14228
0.8612.440840.14194
0.8622.440110.14161
0.8632.439490.14128
0.8642.438860.14095
0.8652.438240.14062
0.8662.437620.1403
0.8672.436990.13997
0.8682.436370.13965
0.8692.435740.13933
0.872.435130.13901
0.8712.434590.13869
0.8722.433970.13837
0.8732.433340.13806
0.8742.432820.13775
0.8752.432190.13744
0.8762.431640.13712
0.8772.431040.13681
0.8782.430520.1365
0.8792.429890.1362
0.882.429330.13589
0.8812.428830.13559
0.8822.428230.13528
0.8832.427690.13498
0.8842.427130.13468
0.8852.426640.13438
0.8862.426120.13409
0.8872.425540.13379
0.8882.425030.1335
0.8892.424540.1332
0.892.424010.13291
0.8912.423430.13262
0.8922.422930.13232
0.8932.422430.13204
0.8942.421930.13175
0.8952.421430.13147
0.8962.420930.13118
0.8972.420420.13089
0.8982.419930.13062
0.8992.419420.13033

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
—