Optical constants

Refractive index of C (Carbon, diamond, graphite, graphene, carbon nanotubes)

Djurišić and Li 1999: Graphite; n,k (o); 0.0310–10.332 µm

Data
tabulated nk
Range
0.031–10.33 µm
Points
1000
Optical axis
o
Licence
CC0-1.0

Uniaxial crystal, axes: oe

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.031–10.33 µm
Refractive index n
2.77123
Extinction coefficient k
1.53908
Permittivity ε1
5.31096
Permittivity ε2
8.53031
Absorption coefficient α
329147 cm⁻¹
Penetration depth δ = λ/(2πk)
60.7631 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
1.46536 µm⁻¹
Group index ng
1.91018
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

# C (Carbon, diamond, graphite, graphene, carbon nanotubes): Djurišić and Li 1999: Graphite; n,k (o); 0.0310–10.332 µm
c = ls.fetch_refractiveindex("main", "C", "Djurisic-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c.range_nm)  # (30.996, 10332) nm
eps = c.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

Graphite. Ordinary ray (o). Critical analysis and fit of the experimental data from several sources to a modified Lorentz-Drude (LD) model.

Conditions

direction
o

References

A. B. Djurišić and E. H. Li. Optical properties of graphite. J. Appl. Phys. 85, 7404-7410 (1999)
[Calculation script (Python)]

Cite

Aleksandra B. Djurišić and E. Herbert Li. Optical properties of graphite. Journal of Applied Physics, 85, 7404-7410 (1999), doi:10.1063/1.369370; [Calculation script (Python)]; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1000 rows as published
C (Carbon, diamond, graphite, graphene, carbon nanotubes), Djurišić and Li 1999: Graphite; n,k (o); 0.0310–10.332 µm: n and k versus wavelength
λ (µm)nk
0.0309960.666380.099024
0.0310270.666560.09985
0.0310580.666770.10066
0.0310890.666980.10145
0.031120.66720.10222
0.0311510.667440.10297
0.0311830.667680.1037
0.0312140.667930.10441
0.0312460.66820.1051
0.0312770.668460.10578
0.0313090.668740.10643
0.031340.669020.10706
0.0313720.66930.10766
0.0314030.669590.10825
0.0314350.669880.10882
0.0314670.670180.10936
0.0314990.670480.10989
0.0315310.670770.11039
0.0315630.671070.11087
0.0315950.671370.11133
0.0316270.671670.11177
0.031660.671960.11219
0.0316920.672260.11259
0.0317240.672540.11297
0.0317570.672830.11333
0.0317890.673110.11367
0.0318220.673390.11398
0.0318540.673660.11428
0.0318870.673920.11456
0.031920.674180.11482
0.0319530.674430.11507
0.0319860.674670.11529
0.0320190.67490.1155
0.0320520.675120.11569
0.0320850.675330.11586
0.0321180.675540.11602
0.0321510.675730.11615
0.0321840.675910.11628
0.0322180.676080.11639
0.0322510.676240.11648
0.0322850.676380.11656
0.0323180.676520.11662
0.0323520.676640.11668
0.0323860.676740.11671
0.032420.676840.11674
0.0324540.676920.11675
0.0324870.676980.11675
0.0325210.677040.11674
0.0325560.677070.11672
0.032590.67710.11669
0.0326240.67710.11665
0.0326580.67710.1166
0.0326930.677070.11654
0.0327270.677040.11647
0.0327620.676980.1164
0.0327960.676920.11631
0.0328310.676830.11622
0.0328660.676730.11612
0.03290.676620.11602
0.0329350.676490.11591
0.032970.676340.11579
0.0330050.676180.11567
0.033040.6760.11554
0.0330760.67580.11541
0.0331110.675590.11528
0.0331460.675360.11514
0.0331820.675120.11499
0.0332170.674860.11485
0.0332530.674590.1147
0.0332880.67430.11455
0.0333240.6740.11439
0.033360.673670.11424
0.0333960.673340.11408
0.0334320.672980.11392
0.0334680.672620.11377
0.0335040.672230.11361
0.033540.671830.11345
0.0335760.671420.11329
0.0336130.670990.11313
0.0336490.670550.11297
0.0336850.670090.11281
0.0337220.669610.11265
0.0337590.669120.1125
0.0337950.668620.11234
0.0338320.66810.11219
0.0338690.667570.11204
0.0339060.667020.11189
0.0339430.666460.11174
0.033980.665880.1116
0.0340180.665290.11145
0.0340550.664680.11131
0.0340920.664060.11118
0.034130.663430.11105
0.0341670.662780.11092
0.0342050.662120.11079
0.0342430.661450.11067
0.034280.660760.11055
0.0343180.660060.11044
0.0343560.659340.11033
0.0343940.658610.11022
0.0344320.657870.11012
0.0344710.657110.11002
0.0345090.656350.10993
0.0345470.655560.10984
0.0345860.654770.10976
0.0346240.653960.10968
0.0346630.653140.10961
0.0347020.652310.10954
0.0347410.651470.10948
0.0347790.650610.10943
0.0348180.649740.10938
0.0348570.648860.10933
0.0348970.647960.10929
0.0349360.647050.10926
0.0349750.646130.10924
0.0350150.64520.10922
0.0350540.644260.1092
0.0350940.64330.1092
0.0351340.642340.10919
0.0351730.641360.1092
0.0352130.640370.10921
0.0352530.639360.10923
0.0352930.638350.10926
0.0353330.637320.10929
0.0353740.636280.10933
0.0354140.635230.10938
0.0354540.634170.10944
0.0354950.63310.1095
0.0355350.632010.10957
0.0355760.630920.10965
0.0356170.629810.10973
0.0356580.628690.10983
0.0356990.627560.10993
0.035740.626420.11004
0.0357810.625270.11016
0.0358220.62410.11028
0.0358640.622930.11041
0.0359050.621740.11056
0.0359470.620540.11071
0.0359880.619330.11087
0.036030.618110.11103
0.0360720.616880.11121
0.0361140.615640.1114
0.0361560.614390.11159
0.0361980.613120.1118
0.036240.611850.11201
0.0362830.610560.11223
0.0363250.609260.11246
0.0363680.607950.1127
0.036410.606630.11295
0.0364530.60530.11322
0.0364960.603960.11349
0.0365390.60260.11377
0.0365820.601240.11406
0.0366250.599860.11436
0.0366680.598480.11467
0.0367120.597080.11499
0.0367550.595670.11533
0.0367990.594250.11567
0.0368420.592820.11603
0.0368860.591380.11639
0.036930.589920.11677
0.0369740.588460.11716
0.0370180.586980.11756
0.0370620.58550.11797
0.0371060.5840.1184
0.0371510.582490.11883
0.0371950.580970.11928
0.037240.579440.11974
0.0372850.57790.12021
0.0373290.576350.1207
0.0373740.574790.1212
0.0374190.573210.12171
0.0374640.571630.12224
0.037510.570030.12278
0.0375550.568420.12333
0.03760.56680.1239
0.0376460.565180.12448
0.0376920.563530.12508
0.0377380.561880.12569
0.0377830.560220.12631
0.0378290.558550.12695
0.0378760.556860.12761
0.0379220.555170.12828
0.0379680.553460.12896
0.0380150.551750.12967
0.0380610.550020.13039
0.0381080.548280.13112
0.0381550.546530.13187
0.0382020.544770.13264
0.0382490.5430.13343
0.0382960.541220.13423
0.0383430.539430.13506
0.0383910.537630.1359
0.0384380.535820.13676
0.0384860.5340.13763
0.0385330.532170.13853
0.0385810.530320.13945
0.0386290.528470.14038
0.0386770.526610.14134
0.0387260.524740.14232
0.0387740.522850.14331
0.0388220.520960.14433
0.0388710.519060.14537
0.038920.517150.14643
0.0389690.515230.14751
0.0390180.51330.14862
0.0390670.511370.14975
0.0391160.509420.1509
0.0391650.507470.15208
0.0392150.50550.15328
0.0392640.503530.1545
0.0393140.501560.15575
0.0393640.499570.15702
0.0394140.497580.15832
0.0394640.495570.15965
0.0395140.493570.161
0.0395640.491550.16238
0.0396150.489530.16378
0.0396650.487510.16521
0.0397160.485470.16667
0.0397670.483440.16816
0.0398180.48140.16968
0.0398690.479350.17123
0.039920.47730.17281
0.0399720.475240.17441
0.0400230.473190.17605
0.0400750.471130.17772
0.0401270.469070.17942
0.0401790.4670.18115
0.0402310.464940.18291
0.0402830.462870.1847
0.0403350.46080.18653
0.0403870.458740.18839
0.040440.456680.19029
0.0404930.454610.19222
0.0405460.452550.19418
0.0405990.45050.19617
0.0406520.448440.1982
0.0407050.446390.20027
0.0407590.444350.20237
0.0408120.442310.20451
0.0408660.440280.20668
0.040920.438260.20889
0.0409740.436240.21113
0.0410280.434240.21341
0.0410820.432240.21573
0.0411360.430250.21808
0.0411910.428280.22047
0.0412460.426320.2229
0.0413010.424370.22536
0.0413550.422440.22786
0.0414110.420520.23039
0.0414660.418620.23296
0.0415210.416740.23557
0.0415770.414870.23821
0.0416330.413030.24089
0.0416890.41120.2436
0.0417450.40940.24635
0.0418010.407610.24914
0.0418570.405850.25195
0.0419140.404120.25481
0.041970.40240.25769
0.0420270.400720.26061
0.0420840.399060.26356
0.0421410.397420.26654
0.0421980.395820.26955
0.0422560.394240.2726
0.0423130.39270.27567
0.0423710.391180.27877
0.0424290.38970.28191
0.0424870.388250.28507
0.0425450.386830.28825
0.0426040.385440.29146
0.0426620.384090.2947
0.0427210.382770.29796
0.042780.381490.30125
0.0428390.380240.30455
0.0428980.379030.30788
0.0429570.377860.31123
0.0430170.376720.3146
0.0430760.375620.31799
0.0431360.374550.32139
0.0431960.373520.32482
0.0432560.372540.32825
0.0433170.371590.3317
0.0433770.370670.33517
0.0434380.36980.33865
0.0434990.368960.34214
0.043560.368160.34564
0.0436210.36740.34915
0.0436820.366680.35267
0.0437440.3660.3562
0.0438050.365350.35973
0.0438670.364750.36327
0.0439290.364180.36682
0.0439910.363640.37037
0.0440540.363150.37392
0.0441160.362690.37748
0.0441790.362270.38103
0.0442420.361880.38459
0.0443050.361540.38815
0.0443690.361220.3917
0.0444320.360940.39526
0.0444960.36070.39881
0.0445590.360490.40236
0.0446240.360310.4059
0.0446880.360170.40945
0.0447520.360060.41298
0.0448170.359990.41651
0.0448810.359940.42003
0.0449460.359930.42355
0.0450120.359940.42706
0.0450770.359990.43056
0.0451420.360070.43405
0.0452080.360170.43753
0.0452740.360310.441
0.045340.360470.44446
0.0454060.360660.44791
0.0454730.360880.45135
0.045540.361120.45478
0.0456060.361380.45819
0.0456730.361670.46159
0.0457410.361990.46498
0.0458080.362320.46836
0.0458760.362680.47172
0.0459440.363060.47507
0.0460120.363470.47841
0.046080.363890.48173
0.0461490.364330.48504
0.0462170.364790.48833
0.0462860.365270.49161
0.0463550.365760.49487
0.0464240.366270.49812
0.0464940.36680.50135
0.0465640.367340.50456
0.0466340.36790.50777
0.0467040.368460.51095
0.0467740.369050.51412
0.0468450.369640.51728
0.0469150.370240.52042
0.0469860.370850.52355
0.0470570.371480.52666
0.0471290.372110.52976
0.0472010.372750.53284
0.0472720.373390.53591
0.0473440.374040.53896
0.0474170.37470.54201
0.0474890.375360.54503
0.0475620.376030.54805
0.0476350.37670.55105
0.0477080.377370.55404
0.0477810.378040.55702
0.0478550.378720.55999
0.0479290.379390.56294
0.0480030.380060.56589
0.0480770.380740.56883
0.0481520.381410.57176
0.0482270.382080.57468
0.0483020.382750.57759
0.0483770.383410.58049
0.0484520.384070.58339
0.0485280.384730.58629
0.0486040.385380.58918
0.048680.386030.59206
0.0487570.386670.59494
0.0488330.38730.59782
0.048910.387930.6007
0.0489870.388560.60358
0.0490650.389170.60646
0.0491420.389780.60934
0.049220.390390.61222
0.0492980.390990.6151
0.0493770.391580.61799
0.0494550.392160.62089
0.0495340.392740.62379
0.0496130.393310.62669
0.0496930.393870.62961
0.0497720.394430.63253
0.0498520.394980.63546
0.0499320.395520.6384
0.0500130.396060.64136
0.0500930.39660.64432
0.0501740.397120.6473
0.0502560.397650.65029
0.0503370.398170.6533
0.0504190.398690.65632
0.0505010.39920.65936
0.0505830.399720.66242
0.0506650.400230.66549
0.0507480.400740.66858
0.0508310.401250.6717
0.0509150.401760.67483
0.0509980.402270.67798
0.0510820.402790.68115
0.0511660.403310.68434
0.0512510.403830.68755
0.0513350.404350.69078
0.051420.404890.69404
0.0515060.405420.69732
0.0515910.405970.70062
0.0516770.406520.70394
0.0517630.407080.70729
0.051850.407660.71066
0.0519360.408240.71405
0.0520230.408830.71746
0.0521110.409440.7209
0.0521980.410060.72436
0.0522860.410690.72784
0.0523740.411340.73135
0.0524630.412010.73488
0.0525510.412690.73843
0.0526410.413390.742
0.052730.41410.74559
0.052820.414840.74921
0.052910.41560.75284
0.0530.416370.7565
0.053090.417170.76017
0.0531810.417980.76387
0.0532730.418820.76758
0.0533640.419690.77131
0.0534560.420570.77506
0.0535480.421480.77883
0.0536410.422410.78261
0.0537330.423370.78641
0.0538270.424350.79023
0.053920.425360.79406
0.0540140.426390.79791
0.0541080.427450.80177
0.0542020.428530.80564
0.0542970.429650.80953
0.0543920.430780.81342
0.0544880.431950.81733
0.0545830.433140.82125
0.0546790.434350.82518
0.0547760.43560.82912
0.0548730.436870.83307
0.054970.438170.83703
0.0550670.439490.84099
0.0551650.440840.84497
0.0552630.442220.84895
0.0553620.443630.85293
0.0554610.445060.85692
0.055560.446520.86092
0.0556590.4480.86492
0.0557590.449510.86893
0.055860.451050.87294
0.055960.452610.87695
0.0560610.45420.88096
0.0561630.455820.88498
0.0562640.457460.889
0.0563660.459120.89302
0.0564690.460810.89705
0.0565720.462520.90107
0.0566750.464250.9051
0.0567790.466010.90912
0.0568830.46780.91315
0.0569870.46960.91717
0.0570920.471430.92119
0.0571970.473280.92522
0.0573020.475150.92924
0.0574080.477040.93326
0.0575150.478950.93728
0.0576210.480890.9413
0.0577280.482840.94532
0.0578360.484820.94933
0.0579440.486810.95335
0.0580520.488820.95736
0.0581610.490850.96137
0.058270.49290.96538
0.0583790.494960.96938
0.0584890.497050.97339
0.05860.499150.97739
0.0587110.501260.98139
0.0588220.50340.98539
0.0589330.505540.98939
0.0590450.507710.99339
0.0591580.509880.99738
0.0592710.512071.0014
0.0593840.514281.0054
0.0594980.51651.0094
0.0596120.518731.0133
0.0597270.520981.0173
0.0598420.523231.0213
0.0599570.52551.0253
0.0600730.527781.0293
0.060190.530071.0333
0.0603070.532381.0373
0.0604240.534691.0413
0.0605420.537011.0453
0.060660.539351.0493
0.0607790.541691.0533
0.0608980.544041.0573
0.0610170.54641.0613
0.0611380.548771.0653
0.0612580.551141.0693
0.0613790.553531.0733
0.0615010.555921.0773
0.0616230.558321.0814
0.0617450.560731.0854
0.0618680.563141.0894
0.0619920.565561.0935
0.0621160.567981.0975
0.062240.570411.1016
0.0623650.572851.1057
0.0624910.575291.1098
0.0626170.577741.1139
0.0627430.58021.118
0.062870.582651.1221
0.0629980.585121.1262
0.0631260.587591.1304
0.0632540.590061.1345
0.0633830.592541.1387
0.0635130.595021.1429
0.0636430.59751.1471
0.0637740.599991.1513
0.0639050.602491.1555
0.0640370.604991.1598
0.0641690.607491.1641
0.0643020.611.1684
0.0644350.612511.1727
0.0645690.615021.1771
0.0647040.617541.1814
0.0648390.620061.1858
0.0649750.622591.1902
0.0651110.625121.1947
0.0652480.627661.1992
0.0653850.63021.2037
0.0655230.632751.2082
0.0656610.63531.2128
0.06580.637861.2174
0.065940.640421.222
0.066080.642991.2267
0.0662210.645571.2314
0.0663630.648151.2362
0.0665050.650741.241
0.0666480.653341.2458
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0.0869962.19422.0772
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0.0882322.36431.8985
0.0884832.38821.8581
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0.0889912.4241.7768
0.0892462.43571.7377
0.0895032.44391.7022
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0.0921592.65791.2796
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0.0932662.57681.093
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0.0946882.49440.97848
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0.0952692.46540.93897
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0.0958572.43740.90266
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0.38822.6731.2174
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0.633762.83771.5955
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0.940993.15221.9032
0.970393.17551.9342
1.00173.20011.9677
1.03513.22592.0038
1.07083.25342.0427
1.1093.28262.0846
1.153.3142.1297
1.19433.34782.1783
1.2423.38432.2306
1.29383.42392.287
1.353.46712.3477
1.41143.51422.4132
1.47853.56592.4838
1.55243.62272.5602
1.63413.68542.6429
1.72493.75472.7326
1.82633.83182.8302
1.94043.91792.9367
2.06974.01443.0534
2.21754.12323.1819
2.3884.24683.3243
2.58694.38813.483
2.82194.55143.6613
3.1044.7423.8637
3.44864.96764.0961
3.87945.23934.3669
4.43315.57364.6879
5.17125.99695.0772
6.20426.55385.5633
7.75297.32826.1941
10.3328.4997.0568

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
—