Optical constants

Refractive index of MoS2 (Molybdenum disulfide)

Song et al. 2019: bulk; n,k 0.193–1.69 µm

Data
tabulated nk
Range
0.193–1.69 µm
Points
1084
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.193–1.69 µm
Refractive index n
4.56841
Extinction coefficient k
1.30821
Permittivity ε1
19.1589
Permittivity ε2
11.9529
Absorption coefficient α
279772 cm⁻¹
Penetration depth δ = λ/(2πk)
71.4867 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.181 µm⁻¹
Group index ng
4.46205
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

# MoS2 (Molybdenum disulfide): Song et al. 2019: bulk; n,k 0.193–1.69 µm
mos2 = ls.fetch_refractiveindex("main", "MoS2", "Song-bulk", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mos2.range_nm)  # (193, 1690) nm
eps = mos2.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

Bulk

References

B. Song, H. Gu, M. Fang, X. Chen, H. Jiang, R. Wang, T. Zhai, Y.-T. Ho, S. Liu. Layer-dependent dielectric function of wafer-scale 2D MoS2. Adv. Optical Mater. 7, 1801250 (2019) (Numerical data kindly provided by Baokun Song)
  • doi:10.1002/adom.201801250 Layer‐Dependent Dielectric Function of Wafer‐Scale 2D MoS <sub>2</sub>, Advanced Optical Materials (2018)

Cite

Baokun Song et al.. Layer‐Dependent Dielectric Function of Wafer‐Scale 2D MoS <sub>2</sub>. Advanced Optical Materials, 7, 1801250 (2018), doi:10.1002/adom.201801250; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1084 rows as published
MoS2 (Molybdenum disulfide), Song et al. 2019: bulk; n,k 0.193–1.69 µm: n and k versus wavelength
λ (µm)nk
0.1931.1133642.166656
0.1941.1313062.203219
0.1951.1510192.23599
0.1961.1721492.265422
0.1971.1944062.291852
0.1981.2175382.315537
0.1991.2413172.336682
0.21.2655312.355453
0.2011.2899832.371996
0.2021.3144812.386447
0.2031.3388462.398934
0.2041.3629052.409591
0.2051.3864972.418553
0.2061.4094752.425967
0.2071.4317072.431985
0.2081.4530792.436769
0.2091.4734962.440488
0.211.4928862.443315
0.2111.51122.445426
0.2121.528412.446994
0.2131.5445142.448192
0.2141.5595282.449181
0.2151.5734912.450116
0.2161.5864582.451136
0.2171.59852.452369
0.2181.6097012.453924
0.2191.6201532.455894
0.221.6299552.458358
0.2211.6392112.461373
0.2221.6480262.464983
0.2231.6565032.469217
0.2241.6647442.474088
0.2251.6728452.479598
0.2261.6808972.485737
0.2271.6889862.492485
0.2281.6971892.499815
0.2291.7055772.507692
0.231.7142122.516076
0.2311.7231492.524924
0.2321.7324382.534188
0.2331.7421182.543818
0.2341.7522242.553765
0.2351.7627842.563977
0.2361.773822.574403
0.2371.7853482.584993
0.2381.7973812.595696
0.2391.8099252.606466
0.241.8229852.617254
0.2411.8365582.628015
0.2421.8506422.638706
0.2431.865232.649286
0.2441.8803112.659713
0.2451.8958752.669951
0.2461.9119072.679964
0.2471.9283912.689718
0.2481.9453092.69918
0.2491.9626432.708321
0.251.9803712.717113
0.2511.9984722.725529
0.2522.0169222.733545
0.2532.0356982.741139
0.2542.0547752.748288
0.2552.0741262.754976
0.2562.0937262.761183
0.2572.1135482.766894
0.2582.1335632.772096
0.2592.1537442.776777
0.262.1740632.780926
0.2612.194492.784533
0.2622.2149972.787593
0.2632.2355552.790099
0.2642.2561342.792048
0.2652.2767062.793437
0.2662.2972412.794267
0.2672.317712.794538
0.2682.3380852.794252
0.2692.3583372.793414
0.272.3784392.792029
0.2712.3983622.790105
0.2722.418082.787651
0.2732.4375672.784675
0.2742.4567972.78119
0.2752.4757452.777209
0.2762.4943872.772745
0.2772.5126992.767813
0.2782.5306612.762429
0.2792.5482492.756612
0.282.5654452.750379
0.2812.5822292.74375
0.2822.5985832.736745
0.2832.6144912.729384
0.2842.6299362.721689
0.2852.6449052.713683
0.2862.6593842.705388
0.2872.6733612.696828
0.2882.6868262.688025
0.2892.6997692.679005
0.292.7121812.669791
0.2912.7240562.660408
0.2922.7353892.65088
0.2932.7461742.641231
0.2942.7564072.631487
0.2952.7660882.621671
0.2962.7752132.611808
0.2972.7837832.601923
0.2982.7917992.592038
0.2992.7992632.582178
0.32.8061772.572366
0.3012.8125452.562625
0.3022.8183722.552978
0.3032.8236632.543447
0.3042.8284242.534054
0.3052.8326632.524821
0.3062.8363862.515768
0.3072.8396032.506916
0.3082.8423222.498285
0.3092.8445532.489896
0.312.8463062.481767
0.3112.8475932.473917
0.3122.8484242.466364
0.3132.8488112.459127
0.3142.8487672.452223
0.3152.8483042.445668
0.3162.8474372.439481
0.3172.8461782.433676
0.3182.8445422.428269
0.3192.8425432.423277
0.322.8401972.418714
0.3212.8375192.414594
0.3222.8345262.410932
0.3232.8312332.407743
0.3242.8276572.405038
0.3252.8238162.402832
0.3262.8197282.401137
0.3272.8154112.399966
0.3282.8108832.399331
0.3292.8061652.399243
0.332.8012752.399714
0.3312.7962342.400754
0.3322.7910642.402374
0.3332.7857852.404584
0.3342.7804212.407393
0.3352.7749932.41081
0.3362.7695262.414844
0.3372.7640432.419503
0.3382.7585692.424793
0.3392.7531312.430722
0.342.7477542.437294
0.3412.7424652.444515
0.3422.7372932.45239
0.3432.7322652.46092
0.3442.7274112.470109
0.3452.7227612.479958
0.3462.7183462.490466
0.3472.7141962.501633
0.3482.7103452.513455
0.3492.7068252.52593
0.352.7036692.539051
0.3512.7009112.552812
0.3522.6985862.567204
0.3532.6967282.582216
0.3542.6953722.597836
0.3552.6945552.614051
0.3562.6943122.630843
0.3572.6946782.648194
0.3582.6956892.666084
0.3592.6973822.68449
0.362.699792.703386
0.3612.702952.722744
0.3622.7068952.742534
0.3632.7116582.762723
0.3642.7172732.783275
0.3652.723772.804152
0.3662.7311792.825312
0.3672.7395282.846712
0.3682.7488442.868304
0.3692.7591512.890039
0.372.770472.911865
0.3712.782822.933726
0.3722.7962172.955564
0.3732.8106732.97732
0.3742.8261972.998931
0.3752.8427943.020332
0.3762.8604643.041457
0.3772.8792023.062236
0.3782.8989983.082601
0.3792.9198363.10248
0.382.9416973.121803
0.3812.9645533.140497
0.3822.988373.158494
0.3833.0131083.175723
0.3843.0387213.192117
0.3853.0651563.20761
0.3863.0923533.222142
0.3873.1202443.235656
0.3883.1487583.248097
0.3893.1778153.259422
0.393.2073323.269588
0.3913.2372183.278566
0.3923.2673813.28633
0.3933.2977243.292865
0.3943.3281483.298166
0.3953.3585523.302237
0.3963.3888363.305093
0.3973.41893.306759
0.3983.4486473.30727
0.3993.4779843.306673
0.43.5068233.305021
0.4013.5350793.302381
0.4023.5626793.298826
0.4033.5895553.294436
0.4043.6156483.2893
0.4053.6409123.28351
0.4063.6653083.277165
0.4073.688813.270366
0.4083.7114023.263214
0.4093.7330793.255813
0.413.753853.248264
0.4113.7737313.240668
0.4123.792753.233122
0.4133.8109463.225717
0.4143.8283653.218541
0.4153.8450623.211674
0.4163.8611023.20519
0.4173.8765533.199155
0.4183.8914923.193627
0.4193.9059983.188655
0.423.9201563.18428
0.4213.9340543.180533
0.4223.947783.177437
0.4233.9614253.175005
0.4243.975083.17324
0.4253.9888353.172138
0.4264.002783.171685
0.4274.0173.17186
0.4284.031583.172632
0.4294.0466013.173962
0.434.0621393.175807
0.4314.0782663.178113
0.4324.0950483.180821
0.4334.1125473.183866
0.4344.1308183.187179
0.4354.1499093.190684
0.4364.169863.194301
0.4374.1907073.197947
0.4384.2124753.201535
0.4394.2351843.204976
0.444.2588443.208181
0.4414.2834583.211056
0.4424.309023.213509
0.4434.3355163.215449
0.4444.3629253.216785
0.4454.3912143.217427
0.4464.4203483.217288
0.4474.4502783.216286
0.4484.4809513.214341
0.4494.5123083.211378
0.454.5442793.207326
0.4514.5767913.202124
0.4524.6097653.195714
0.4534.6431153.188045
0.4544.6767543.179075
0.4554.7105893.16877
0.4564.7445243.157104
0.4574.7784623.144058
0.4584.8123053.129625
0.4594.8459543.113803
0.464.8793123.096601
0.4614.9122823.078036
0.4624.9447693.058132
0.4634.9766843.036923
0.4645.0079393.014449
0.4655.0384512.990757
0.4665.0681432.9659
0.4675.0969442.939939
0.4685.1247882.912937
0.4695.1516172.884964
0.475.1773782.856089
0.4715.2020262.82639
0.4725.2255232.795942
0.4735.2478382.764824
0.4745.2689472.733114
0.4755.288832.70089
0.4765.3074792.668231
0.4775.3248862.635212
0.4785.3410542.601909
0.4795.3559892.568393
0.485.3697012.534735
0.4815.3822062.501001
0.4825.3935242.467254
0.4835.4036792.433554
0.4845.4126972.399959
0.4855.4206072.36652
0.4865.4274422.333286
0.4875.4332352.300302
0.4885.4380212.267611
0.4895.4418372.235249
0.495.4447192.20325
0.4915.4467072.171645
0.4925.4478362.140462
0.4935.4481472.109725
0.4945.4476762.079455
0.4955.446462.049669
0.4965.4445382.020385
0.4975.4419441.991613
0.4985.4387151.963367
0.4995.4348831.935653
0.55.4304831.908479
0.5015.4255481.88185
0.5025.4201071.855769
0.5035.4141911.830237
0.5045.4078281.805255
0.5055.4010461.780822
0.5065.3938721.756937
0.5075.3863291.733595
0.5085.3784421.710794
0.5095.3702341.688529
0.515.3617251.666796
0.5115.3529371.645587
0.5125.3438881.624899
0.5135.3345971.604723
0.5145.325081.585053
0.5155.3153551.565883
0.5165.3054351.547205
0.5175.2953351.529013
0.5185.2850691.511297
0.5195.2746491.494053
0.525.2640871.477271
0.5215.2533941.460945
0.5225.2425791.445068
0.5235.2316531.429633
0.5245.2206241.414632
0.5255.2095011.400059
0.5265.1982911.385908
0.5275.1870021.372172
0.5285.175641.358846
0.5295.1642111.345922
0.535.1527211.333397
0.5315.1411751.321265
0.5325.1295781.30952
0.5335.1179341.298159
0.5345.1062481.287177
0.5355.0945231.27657
0.5365.0827641.266335
0.5375.0709721.256468
0.5385.0591531.246967
0.5395.0473071.237829
0.545.0354381.229053
0.5415.0235491.220636
0.5425.0116421.212578
0.5434.9997181.204878
0.5444.9877821.197536
0.5454.9758331.190552
0.5464.9638761.183926
0.5474.9519121.177661
0.5484.9399431.171757
0.5494.9279721.166217
0.554.9160021.161044
0.5514.9040351.156241
0.5524.8920741.151813
0.5534.8801231.147763
0.5544.8681841.144097
0.5554.8562621.140821
0.5564.8443621.137941
0.5574.8324891.135463
0.5584.8206471.133397
0.5594.8088441.131749
0.564.7970871.13053
0.5614.7853821.129748
0.5624.773741.129414
0.5634.7621711.12954
0.5644.7506861.130136
0.5654.7392961.131214
0.5664.7280181.132788
0.5674.7168661.13487
0.5684.7058591.137474
0.5694.6950161.140614
0.574.684361.144304
0.5714.6739151.148557
0.5724.6637091.153387
0.5734.653771.158808
0.5744.6441351.164833
0.5754.6348381.171472
0.5764.625921.178736
0.5774.6174251.186634
0.5784.6094021.19517
0.5794.6019021.204349
0.584.5949811.21417
0.5814.5886991.224627
0.5824.5831221.235711
0.5834.5783181.247404
0.5844.5743571.259683
0.5854.5713151.272518
0.5864.5692691.285867
0.5874.5682981.29968
0.5884.5684791.313894
0.5894.569891.328435
0.594.5726061.343216
0.5914.5766961.358138
0.5924.5822221.373084
0.5934.5892351.387929
0.5944.5977771.402529
0.5954.6078721.416734
0.5964.6195251.430378
0.5974.6327241.443292
0.5984.6474311.455298
0.5994.6635851.466218
0.64.6810971.475877
0.6014.6998521.484107
0.6024.7197111.490752
0.6034.7405081.49567
0.6044.7620551.498745
0.6054.7841451.499884
0.6064.8065581.499022
0.6074.8290631.496128
0.6084.8514271.491202
0.6094.8734191.484278
0.614.8948151.475422
0.6114.9154051.464731
0.6124.9349991.452326
0.6134.9534241.438353
0.6144.9705361.422976
0.6154.9862181.40637
0.6165.0003771.388721
0.6175.0129481.370216
0.6185.0238921.351041
0.6195.0331951.33138
0.625.0408621.311405
0.6215.0469161.291281
0.6225.0513991.27116
0.6235.0543621.25118
0.6245.0558671.231468
0.6255.0559831.212134
0.6265.0547831.193279
0.6275.0523451.174989
0.6285.0487451.157339
0.6295.0440581.140395
0.635.038361.124215
0.6315.0317231.108849
0.6325.0242141.09434
0.6335.0158991.080728
0.6345.0068391.068049
0.6354.9970921.056338
0.6364.9867111.045629
0.6374.9757471.035955
0.6384.9642481.027355
0.6394.9522591.019867
0.644.9398261.013534
0.6414.9269941.008408
0.6424.9138091.004542
0.6434.9003181.002002
0.6444.8865761.000859
0.6454.8726441.001198
0.6464.8585911.00311
0.6474.8445011.006703
0.6484.8304761.012095
0.6494.816641.019416
0.654.8031461.028809
0.6514.7901861.040426
0.6524.7779941.054424
0.6534.7668621.070962
0.6544.757151.090187
0.6554.7492931.11222
0.6564.7438181.137137
0.6574.7413491.164939
0.6584.7426071.195514
0.6594.7484021.228592
0.664.7596061.26369
0.6614.7771021.300059
0.6624.80171.336637
0.6634.8340291.372027
0.6644.8743941.404519
0.6654.9226311.432175
0.6664.9779821.452986
0.6675.0390391.465098
0.6685.1037891.467073
0.6695.1697821.458119
0.675.2343981.438245
0.6715.2951721.408275
0.6725.3500831.36971
0.6735.3977481.324499
0.6745.4374971.274752
0.6755.4693121.22249
0.6765.4937081.169458
0.6775.5115641.117028
0.6785.5239871.066163
0.6795.5322021.017426
0.685.5374990.970999
0.6815.5412480.926647
0.6825.5449680.883554
0.6835.5504370.839737
0.6845.5593460.790166
0.6855.5679040.721265
0.6865.5280170.62301
0.6875.4657450.601787
0.6885.4307520.582539
0.6895.4019340.564345
0.695.3763070.547406
0.6915.3527460.53171
0.6925.3307040.517187
0.6935.3098710.503751
0.6945.2900550.491311
0.6955.2711240.479779
0.6965.2529850.469073
0.6975.2355650.459119
0.6985.2188040.449847
0.6995.2026550.441196
0.75.1870770.43311
0.7015.1720310.425539
0.7025.1574860.418438
0.7035.1434130.411765
0.7045.1297850.405485
0.7055.1165780.399564
0.7065.1037680.393973
0.7075.0913360.388685
0.7085.0792620.383676
0.7095.0675280.378925
0.715.0561170.374411
0.7115.0450130.370117
0.7125.0342030.366027
0.7135.0236720.362126
0.7145.0134080.3584
0.7155.0033970.354837
0.7164.9936310.351427
0.7174.9840970.348158
0.7184.9747850.345022
0.7194.9656860.342011
0.724.9567920.339115
0.7214.9480940.336329
0.7224.9395840.333645
0.7234.9312540.331057
0.7244.9230980.32856
0.7254.9151090.326148
0.7264.907280.323816
0.7274.8996070.321561
0.7284.8920820.319378
0.7294.8847010.317262
0.734.8774580.315211
0.7314.8703490.313222
0.7324.8633690.31129
0.7334.8565140.309413
0.7344.8497790.307589
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0.7964.5711840.243979
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0.8314.4753870.225138
0.8324.4730010.224677
0.8334.470630.22422
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0.8364.4636160.222868
0.8374.4613090.222424
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0.8464.4412140.218567
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0.8664.4003750.210779
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0.874.3927640.209333
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0.8744.3853190.207921
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0.884.3744510.205863
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0.8884.3604830.203222
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0.894.357080.202579
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0.8934.3520380.201627
0.8944.3503740.201313
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0.9144.3187160.195354
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0.9164.3157080.194789
0.9174.3142140.194509
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0.924.3097720.193675
0.9214.3083040.1934
0.9224.3068430.193126
0.9234.3053880.192853
0.9244.3039390.192581
0.9254.3024960.192311
0.9264.301060.192042
0.9274.299630.191774
0.9284.2982050.191507
0.9294.2967870.191242
0.934.2953750.190978
0.9314.2939690.190714
0.9324.2925680.190452
0.9334.2911730.190192
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0.9364.2870240.189416
0.9374.2856510.18916
0.9384.2842850.188904
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0.944.2815690.188397
0.9414.2802190.188145
0.9424.2788740.187894
0.9434.2775340.187644
0.9444.27620.187396
0.9454.2748720.187148
0.9464.2735480.186901
0.9474.272230.186655
0.9484.2709160.186411
0.9494.2696080.186167
0.954.2683050.185925
0.9514.2670070.185683
0.9524.2657140.185442
0.9534.2644250.185203
0.9544.2631420.184964
0.9554.2618630.184726
0.9564.260590.18449
0.9574.2593210.184254
0.9584.2580560.184019
0.9594.2567970.183785
0.964.2555420.183552
0.9614.2542920.18332
0.9624.2530460.183089
0.9634.2518050.182859
0.9644.2505680.18263
0.9654.2493360.182401
0.9664.2481080.182174
0.9674.2468850.181947
0.9684.2456660.181722
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0.974.2432410.181273
0.9714.2420350.18105
0.9724.2408330.180828
0.9734.2396350.180606
0.9744.2384420.180386
0.9754.2372530.180166
0.9764.2360670.179948
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0.9984.2109750.175336
0.9994.2098770.175135
1.04.2087810.174935
1.00254.2060590.174438
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1.00754.2006750.173457
1.014.1980150.172972
1.01254.1953740.172492
1.0154.1927520.172017
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1.024.1875670.171077
1.02254.1850030.170614
1.0254.1824560.170154
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1.034.1774170.169246
1.03254.1749240.168798
1.0354.1724480.168353
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1.05754.1508840.164512
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1.0654.1439660.163292
1.06754.1416870.162892
1.074.1394220.162495
1.07254.1371710.162101
1.0754.1349330.16171
1.07754.1327080.161322
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1.094.1217680.159425
1.09254.1196160.159055
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1.11254.1028030.156186
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1.1254.0926330.154476
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1.283.9817550.137451
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1.28753.9768970.136785
1.293.9752850.136566
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1.33.9688710.135703
1.30253.9672770.13549
1.3053.9656850.135279
1.30753.9640970.135069
1.313.9625120.13486
1.31253.960930.134652
1.3153.9593510.134446
1.31753.9577750.134241
1.323.9562020.134037
1.32253.9546320.133834
1.3253.9530650.133633
1.32753.9515010.133432
1.333.9499390.133233
1.33253.9483810.133035
1.3353.9468250.132839
1.33753.9452720.132643
1.343.9437220.132448
1.34253.9421730.132255
1.3453.9406280.132063
1.34753.9390850.131872
1.353.9375450.131682
1.35253.9360070.131493
1.3553.9344710.131305
1.35753.9329380.131118
1.363.9314070.130933
1.36253.9298780.130748
1.3653.9283520.130565
1.36753.9268270.130382
1.373.9253050.130201
1.37253.9237850.130021
1.3753.9222670.129841
1.37753.9207510.129663
1.383.9192370.129486
1.38253.9177260.12931
1.3853.9162150.129134
1.38753.9147070.12896
1.393.9132010.128787
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1.3953.9101940.128444
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1.43.9071940.128104
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1.4053.9042010.127768
1.40753.9027060.127602
1.413.9012140.127436
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1.41753.8967450.126946
1.423.8952590.126784
1.42253.8937740.126623
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1.42753.8908080.126304
1.433.8893270.126146
1.43253.8878470.125989
1.4353.8863690.125832
1.43753.8848920.125677
1.443.8834160.125522
1.44253.8819420.125369
1.4453.8804680.125216
1.44753.8789960.125064
1.453.8775250.124913
1.45253.8760550.124762
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1.53.8483010.122061
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1.50753.8439440.121661
1.513.8424930.121528
1.51253.8410420.121397
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1.523.8366920.121007
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1.543.8251120.119999
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1.593.7962250.117668
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1.633.7731080.115982
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1.6353.7702140.115782
1.63753.7687670.115683
1.643.7673190.115584
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1.653.7615250.115195
1.65253.7600760.115099
1.6553.7586260.115004
1.65753.7571750.114909
1.663.7557250.114815
1.66253.7542730.114721
1.6653.7528220.114628
1.66753.7513690.114535
1.673.7499170.114443
1.67253.7484640.114352
1.6753.747010.114261
1.67753.7455560.11417
1.683.7441010.11408
1.68253.7426460.113991
1.6853.741190.113902
1.68753.7397330.113813
1.693.7382760.113725

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
—