Optical constants

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

Querry 1985: Graphite pellet, Dixon HPN-2; n,k 0.20–55.6 µm

Data
tabulated nk
Range
0.2–55.56 µm
Points
613
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.2–55.56 µm
Refractive index n
1.8368
Extinction coefficient k
1.03184
Permittivity ε1
2.30914
Permittivity ε2
3.79057
Absorption coefficient α
220669 cm⁻¹
Penetration depth δ = λ/(2πk)
90.6337 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.5 µm⁻¹
Group index ng
1.543
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): Querry 1985: Graphite pellet, Dixon HPN-2; n,k 0.20–55.6 µm
c = ls.fetch_refractiveindex("main", "C", "Querry-DixonHPN2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c.range_nm)  # (200, 55555.6) 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 pellet from Dixon HPN-2 powder.

References

M. R. Querry. Optical constants, Contractor Report CRDC-CR-85034 (1985)

Cite

M. R. Querry. Optical constants, Contractor Report CRDC-CR-85034 (1985); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

613 rows as published
C (Carbon, diamond, graphite, graphene, carbon nanotubes), Querry 1985: Graphite pellet, Dixon HPN-2; n,k 0.20–55.6 µm: n and k versus wavelength
λ (µm)nk
0.20.840.723
0.210.90.837
0.220.9620.952
0.231.0451.06
0.241.1621.162
0.251.3261.221
0.261.491.195
0.271.5911.125
0.281.6461.061
0.291.6791.009
0.31.6970.968
0.311.7060.937
0.321.710.917
0.331.7180.905
0.341.7240.89
0.351.7210.88
0.361.720.88
0.371.7220.883
0.381.7270.886
0.391.7330.889
0.41.7390.892
0.411.7430.894
0.421.7460.898
0.431.7490.904
0.441.7520.912
0.451.7560.92
0.461.7610.929
0.471.7670.939
0.481.7750.947
0.491.7820.955
0.51.7880.962
0.511.7940.97
0.521.8010.977
0.531.8070.985
0.541.8120.992
0.551.8171.0
0.561.8211.008
0.571.8271.018
0.581.8331.025
0.591.8381.034
0.61.8421.043
0.611.8471.052
0.621.8521.062
0.631.8571.072
0.641.8641.083
0.651.871.091
0.661.8741.099
0.671.8781.11
0.681.8841.12
0.691.8891.131
0.71.8951.142
0.711.9021.152
0.7211.9091.161
0.731.9151.171
0.741.9211.18
0.751.9261.19
0.761.9321.201
0.771.9391.21
0.781.9451.219
0.791.9521.23
0.81.961.239
0.811.9641.246
0.821.9691.256
0.831.9741.266
0.841.981.276
0.851.9871.287
0.861.9951.297
0.872.0011.305
0.882.0061.314
0.892.0121.324
0.92.0171.333
0.912.0231.344
0.922.0291.353
0.932.0351.363
0.942.0421.373
0.952.0481.383
0.962.0551.392
0.972.0611.401
0.982.0671.411
0.992.0731.42
1.02.0781.43
1.012.0841.44
1.022.091.45
1.032.0961.461
1.042.1031.472
1.052.111.481
1.062.1161.491
1.072.1241.502
1.082.1321.511
1.092.1381.52
1.12.1451.53
1.112.1521.54
1.122.1581.55
1.132.1661.56
1.142.1741.57
1.152.1821.58
1.162.1891.589
1.172.1971.598
1.182.2051.607
1.192.2141.616
1.22.2181.624
1.212.2251.637
1.222.2341.646
1.232.2421.656
1.242.2521.665
1.252.261.673
1.262.2691.682
1.272.2771.69
1.282.2861.698
1.292.2941.707
1.32.3031.716
1.312.3121.724
1.322.321.732
1.332.3291.739
1.342.3381.747
1.352.3471.754
1.362.3551.761
1.372.3631.768
1.382.3711.776
1.392.3791.783
1.42.3871.79
1.412.3951.797
1.422.4031.805
1.432.4111.812
1.442.421.82
1.452.4281.827
1.462.4361.834
1.472.4451.841
1.482.4551.848
1.492.4631.854
1.52.4721.86
1.512.4811.866
1.522.491.872
1.532.4981.876
1.542.5051.882
1.552.5131.889
1.562.5221.894
1.572.531.899
1.582.5361.904
1.592.5431.911
1.62.5511.917
1.612.5591.923
1.622.5671.929
1.632.5751.934
1.642.5821.939
1.652.591.945
1.662.5971.95
1.672.6051.956
1.682.6121.961
1.692.621.967
1.72.6271.972
1.712.6351.978
1.722.6421.984
1.732.651.99
1.742.6581.995
1.752.6662.001
1.762.6752.005
1.772.6812.01
1.782.6882.017
1.792.6972.025
1.82.7082.03
1.812.7192.036
1.822.7322.037
1.832.742.036
1.842.7472.038
1.852.7532.04
1.862.762.041
1.872.7652.043
1.882.772.047
1.892.7762.051
1.92.7822.055
1.912.7882.058
1.922.7932.062
1.932.82.066
1.942.8062.07
1.952.8122.074
1.962.8192.078
1.972.8252.081
1.982.8312.085
1.992.8392.088
2.02.8422.09
2.012.8472.096
2.022.8552.099
2.032.862.102
2.042.8662.106
2.052.8732.11
2.062.8782.112
2.072.8842.116
2.082.892.12
2.092.8962.123
2.12.9022.125
2.112.9062.127
2.122.9112.13
2.132.9162.133
2.142.9212.136
2.152.9252.139
2.162.9292.143
2.172.9342.146
2.182.9392.149
2.192.9422.152
2.22.9462.157
2.212.9512.161
2.222.9552.164
2.232.962.169
2.242.9652.172
2.252.972.175
2.262.9732.179
2.272.9772.184
2.282.9812.187
2.292.9852.192
2.32.9892.196
2.312.9942.2
2.322.9982.205
2.333.0032.209
2.343.0072.213
2.353.0112.217
2.363.0162.222
2.373.022.226
2.383.0252.231
2.393.032.235
2.43.0342.238
2.413.0382.242
2.423.0422.246
2.433.0462.251
2.443.052.255
2.453.0552.26
2.463.0592.264
2.473.0632.269
2.483.0682.273
2.493.0722.277
2.53.0752.281
2.50633.0772.285
2.51263.0812.289
2.51893.0832.288
2.52533.0822.294
2.53163.0882.297
2.53813.0922.302
2.54453.0952.302
2.5513.0952.306
2.55753.12.311
2.56413.1042.312
2.57073.1062.314
2.57733.1062.318
2.5843.1122.322
2.59073.1132.326
2.59743.1192.331
2.60423.1222.331
2.6113.1222.333
2.61783.1242.341
2.62473.1332.342
2.63163.1342.341
2.63853.1362.349
2.64553.1432.352
2.65253.1442.351
2.65963.1452.356
2.66673.1492.359
2.67383.152.363
2.6813.1542.368
2.68823.1592.37
2.69543.1612.374
2.70273.1652.38
2.713.1712.381
2.71743.1732.381
2.72483.1732.386
2.73223.1792.395
2.73973.1822.393
2.74733.1832.399
2.75483.1882.403
2.76243.1922.408
2.77013.1962.414
2.77783.2042.416
2.78553.2082.415
2.79333.2092.42
2.80113.2132.424
2.8093.2152.424
2.81693.2162.43
2.82493.2232.436
2.83293.2252.438
2.84093.232.444
2.8493.2352.447
2.85713.242.453
2.86533.2432.453
2.87363.2462.459
2.88183.2522.462
2.89023.2562.468
2.89863.2612.469
2.9073.2642.474
2.91553.272.476
2.9243.2732.479
2.93263.2762.484
2.94123.2822.489
2.94993.2852.491
2.95863.2882.497
2.96743.2942.503
2.97623.32.506
2.98513.3062.509
2.9943.3112.51
3.0033.3132.514
3.0123.3182.522
3.02113.3262.524
3.03033.3292.526
3.03953.3352.531
3.04883.3382.533
3.05813.3442.539
3.06753.352.538
3.07693.352.543
3.08643.3572.553
3.0963.3662.553
3.10563.3692.553
3.11533.372.556
3.1253.3732.563
3.13483.3822.571
3.14473.3892.571
3.15463.3932.573
3.16463.3972.578
3.17463.4042.581
3.18473.4052.583
3.19493.4122.592
3.20513.4212.594
3.21543.4242.594
3.22583.4272.598
3.23623.432.604
3.24683.4372.61
3.25733.4432.613
3.2683.4482.615
3.27873.4532.622
3.28953.462.624
3.30033.4642.627
3.31133.4682.635
3.32233.4812.638
3.33333.4832.636
3.34453.4872.64
3.35573.4912.646
3.3673.52.648
3.37843.5012.65
3.38983.5082.658
3.40143.5152.658
3.4133.5192.662
3.42473.5212.667
3.43643.5272.676
3.44833.5362.678
3.46023.5422.678
3.47223.5452.683
3.48433.5522.687
3.49653.5572.69
3.50883.5622.695
3.52113.5672.699
3.53363.5732.704
3.54613.5812.709
3.55873.5842.711
3.57143.592.716
3.58423.5952.717
3.59713.5982.724
3.61013.6052.73
3.62323.6112.735
3.63643.622.739
3.64963.6272.74
3.6633.6292.743
3.67653.6332.752
3.693.6422.757
3.70373.6472.76
3.71753.6562.766
3.73133.6612.768
3.74533.672.774
3.75943.6732.773
3.77363.6782.762
3.78793.6842.785
3.80233.6892.791
3.81683.6972.794
3.83143.7022.799
3.84623.7082.805
3.8613.7142.81
3.8763.722.817
3.89113.7292.82
3.90633.7362.825
3.92163.7432.829
3.9373.7482.831
3.95263.7472.838
3.96833.7572.849
3.98413.7692.85
4.03.7732.854
4.01613.7782.862
4.03233.7882.869
4.04863.7942.873
4.0653.8042.877
4.08163.812.881
4.09843.8182.889
4.11523.8262.891
4.13223.832.891
4.14943.8322.9
4.16673.8422.906
4.18413.8422.91
4.20173.8442.927
4.21943.8582.94
4.23733.8762.948
4.25533.8892.948
4.27353.8942.953
4.29183.9062.962
4.31033.9232.962
4.3293.9312.957
4.34783.9312.962
4.36683.942.969
4.3863.9452.971
4.40533.9512.978
4.42483.9592.984
4.44443.9652.989
4.46433.9712.997
4.48433.9813.006
4.50453.9893.012
4.52493.9993.02
4.54554.013.025
4.56624.0183.03
4.58724.0273.035
4.60834.0343.041
4.62964.0433.048
4.65124.0533.056
4.67294.0623.064
4.69484.0753.072
4.7174.0843.075
4.73934.0923.083
4.76194.1073.092
4.78474.1183.095
4.80774.1273.101
4.83094.1373.103
4.85444.1413.113
4.8784.1583.124
4.9024.1733.122
4.92614.1773.125
4.95054.1833.134
4.97514.1923.142
5.04.1923.154
5.02514.2113.179
5.05054.2373.182
5.07614.2523.186
5.1024.2663.191
5.12824.2843.194
5.15464.2973.197
5.18134.3113.2
5.20834.3233.204
5.23564.343.208
5.26324.3513.208
5.2914.3623.214
5.31914.3783.218
5.34764.3893.22
5.37634.4033.223
5.40544.4143.228
5.43484.4283.23
5.46454.4413.234
5.49454.4523.236
5.52494.4653.239
5.55564.4783.242
5.58664.493.244
5.6184.5013.248
5.64974.5123.255
5.68184.5293.256
5.71434.5363.254
5.74714.5493.265
5.78034.5653.266
5.8144.5753.265
5.8484.5853.268
5.88244.5973.271
5.91724.6083.275
5.95244.623.28
5.9884.6343.284
6.02414.6463.287
6.06064.6573.288
6.09764.6693.291
6.1354.6793.293
6.17284.6883.294
6.21124.6913.301
6.254.6933.312
6.28934.7133.347
6.32914.7643.343
6.36944.7773.323
6.41034.783.316
6.45164.783.322
6.49354.7973.329
6.53594.8123.327
6.57894.8223.33
6.62254.8313.33
6.66674.8383.333
6.71144.853.339
6.75684.8633.341
6.80274.8733.345
6.84934.8823.345
6.89664.8893.351
6.94444.8993.357
6.9934.9113.365
7.04234.9223.369
7.09224.9343.376
7.14294.9483.375
7.19424.9553.38
7.24644.9643.389
7.29934.9783.392
7.35294.9833.396
7.40744.9983.407
7.46275.0113.409
7.51885.023.414
7.57585.033.419
7.63365.0393.425
7.69235.0473.431
7.75195.0583.44
7.81255.0683.442
7.8745.0733.453
7.93655.083.464
8.05.0943.479
8.06455.1133.486
8.13015.123.489
8.19675.1273.504
8.26455.1443.515
8.33335.1553.525
8.40345.173.536
8.47465.1813.542
8.5475.1943.552
8.62075.2073.565
8.69575.2223.571
8.77195.2313.58
8.84965.2463.59
8.92865.2523.598
9.0095.263.62
9.09095.2833.635
9.17435.2963.641
9.25935.3093.653
9.34585.3253.665
9.4345.343.675
9.52385.3533.686
9.61545.3643.694
9.70875.3743.712
9.80395.3883.727
9.9015.4013.744
10.05.423.759
10.1015.443.774
10.20415.4583.776
10.30935.4583.79
10.41675.4743.809
10.52635.4893.825
10.63835.5063.842
10.75275.5233.855
10.86965.5323.865
10.9895.543.882
11.11115.5493.903
11.2365.5613.927
11.36365.5723.934
11.49435.5713.979
11.62795.6164.009
11.76475.6274.015
11.90485.6384.037
12.04825.6524.062
12.19515.6614.088
12.34575.6774.124
12.55.7064.153
12.65825.7264.168
12.82055.7384.198
12.9875.7614.225
13.15795.7774.25
13.33335.7914.277
13.51355.8084.308
13.69865.8254.336
13.88895.8394.368
14.08455.854.404
14.28575.8634.445
14.49285.8774.493
14.70595.9044.541
14.92545.9354.574
15.15155.9524.613
15.38465.9714.657
15.6255.9724.705
15.8735.9964.784
16.1296.0424.833
16.39346.0714.885
16.66676.1014.938
16.94926.1295.001
17.24146.1675.055
17.54396.2025.115
17.85716.2385.173
18.18186.2715.239
18.51856.3075.303
18.86796.345.365
19.23086.3675.434
19.60786.3985.524
20.06.4385.606
20.40826.465.702
20.83336.5115.823
21.27666.5825.922
21.73916.6296.02
22.22226.6866.149
22.72736.7776.281
23.25586.8676.393
23.80956.956.519
24.39027.0536.645
25.07.1546.755
25.6417.2476.89
26.31587.3637.023
27.0277.4697.165
27.77787.6027.307
28.57147.7097.462
29.41187.837.675
30.3038.0357.891
31.258.2248.052
32.25818.4258.269
33.33338.6828.482
34.48288.9698.664
35.71439.2258.868
37.0379.5869.1
38.46159.9849.171
40.010.2149.368
41.666710.8139.559
43.478310.9529.451
45.454511.2669.974
47.61911.89810.13
50.012.3910.524
52.631613.61810.803
55.555614.47410.332

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
—