Optical constants

Refractive index of 5CB (4-pentyl-4'-cyanobiphenyl)

Tkachenko et al. 2006: n(e) 0.532–1.7 µm

Data
formula 5
Range
0.532–1.7 µm
Optical axis
e
Licence
CC0-1.0

Uniaxial crystal, axes: oe

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.532–1.7 µm
Refractive index n
1.70743
Extinction coefficient k
0
Permittivity ε1
2.91531
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.220941 µm⁻¹
Group index ng
1.83725
Group velocity dispersion
512.1 fs²/mm
Dispersion parameter D
-2793.78 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

# 5CB (4-pentyl-4'-cyanobiphenyl): Tkachenko et al. 2006: n(e) 0.532–1.7 µm
mat = ls.fetch_refractiveindex("other", "5CB", "Tkachenko-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (532, 1700) nm
eps = mat.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.

Dispersion formula

Cauchy (formula 5), λ in µm
n=1.65535+0.01355⁢λ−2.0+0.00153⁢λ−4.0

Valid from 0.532 to 1.7 µm.

Coefficients as stored
CiValue
C11.65535
C20.01355
C3-2.0
C40.00153
C5-4.0

Comments and conditions

Extraordinary ray (e).

Conditions

direction
e

References

V. Tkachenko, G. Abbate, A. Marino, F. Vita, M. Giocondo, A. Mazzulla, F. Ciuchi, L. De Stefano. Nematic liquid crystal optical dispersion in the visible-near infrared range, Mol. Cryst. Liq. Cryst. 454, 263/[665]-271/[673] (2006)
  • doi:10.1080/15421400600655816 Nematic Liquid Crystal Optical Dispersion in the Visible-Near Infrared Range, Molecular Crystals and Liquid Crystals (2006)

Cite

Volodymyr Tkachenko et al.. Nematic Liquid Crystal Optical Dispersion in the Visible-Near Infrared Range. Molecular Crystals and Liquid Crystals, 454, 263/[665]-271/[673] (2006), doi:10.1080/15421400600655816; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 wavelengths, the same grid as the API and the library
5CB (4-pentyl-4'-cyanobiphenyl), Tkachenko et al. 2006: n(e) 0.532–1.7 µm: n and k versus wavelength
λ (µm)n
0.5321.722326
0.5335511.721827
0.5351071.721332
0.5366671.720841
0.5382321.720355
0.5398021.719872
0.5413761.719393
0.5429541.718919
0.5445371.718448
0.5461251.717981
0.5477181.717518
0.5493151.717059
0.5509161.716604
0.5525231.716152
0.5541341.715704
0.555751.71526
0.557371.71482
0.5589951.714383
0.5606251.71395
0.562261.71352
0.56391.713094
0.5655441.712671
0.5671931.712252
0.5688471.711836
0.5705051.711424
0.5721691.711015
0.5738371.71061
0.5755111.710207
0.5771891.709808
0.5788721.709412
0.580561.70902
0.5822521.70863
0.583951.708244
0.5856531.707861
0.5873611.707481
0.5890731.707104
0.5907911.70673
0.5925141.70636
0.5942411.705992
0.5959741.705627
0.5977121.705265
0.5994551.704906
0.6012031.70455
0.6029561.704197
0.6047141.703846
0.6064771.703498
0.6082451.703154
0.6100191.702812
0.6117981.702472
0.6135821.702136
0.6153711.701802
0.6171651.70147
0.6189651.701142
0.6207691.700816
0.622581.700492
0.6243951.700171
0.6262161.699853
0.6280421.699537
0.6298731.699224
0.6317091.698913
0.6335511.698604
0.6353991.698298
0.6372521.697995
0.639111.697694
0.6409731.697395
0.6428421.697098
0.6447171.696804
0.6465971.696513
0.6484821.696223
0.6503731.695936
0.6522691.695651
0.6541711.695368
0.6560791.695087
0.6579921.694809
0.659911.694533
0.6618351.694259
0.6637641.693987
0.66571.693717
0.6676411.693449
0.6695881.693183
0.671541.69292
0.6734981.692658
0.6754621.692399
0.6774321.692141
0.6794071.691886
0.6813881.691632
0.6833751.69138
0.6853681.691131
0.6873661.690883
0.689371.690637
0.691381.690393
0.6933961.690151
0.6954181.689911
0.6974461.689672
0.699481.689436
0.7015191.689201
0.7035651.688968
0.7056161.688736
0.7076741.688507
0.7097371.688279
0.7118071.688053
0.7138821.687829
0.7159641.687606
0.7180521.687385
0.7201451.687166
0.7222451.686949
0.7243511.686733
0.7264631.686518
0.7285811.686306
0.7307061.686095
0.7328371.685885
0.7349731.685677
0.7371171.685471
0.7392661.685266
0.7414211.685063
0.7435831.684861
0.7457521.684661
0.7479261.684462
0.7501071.684265
0.7522941.684069
0.7544881.683875
0.7566881.683682
0.7588941.68349
0.7611071.6833
0.7633261.683112
0.7655521.682925
0.7677841.682739
0.7700231.682554
0.7722681.682371
0.774521.682189
0.7767791.682009
0.7790441.68183
0.7813151.681652
0.7835931.681476
0.7858781.681301
0.788171.681127
0.7904681.680954
0.7927731.680783
0.7950841.680613
0.7974031.680444
0.7997281.680277
0.802061.68011
0.8043991.679945
0.8067441.679781
0.8090961.679619
0.8114561.679457
0.8138221.679297
0.8161951.679138
0.8185751.67898
0.8209621.678823
0.8233551.678667
0.8257561.678512
0.8281641.678359
0.8305791.678207
0.8330011.678055
0.835431.677905
0.8378661.677756
0.8403091.677608
0.8427591.677461
0.8452161.677315
0.8476811.67717
0.8501531.677026
0.8526311.676884
0.8551181.676742
0.8576111.676601
0.8601121.676462
0.862621.676323
0.8651351.676185
0.8676581.676048
0.8701881.675913
0.8727251.675778
0.875271.675644
0.8778221.675511
0.8803821.675379
0.8829491.675248
0.8855231.675118
0.8881051.674989
0.8906951.674861
0.8932921.674733
0.8958971.674607
0.8985091.674481
0.9011291.674357
0.9037571.674233
0.9063921.67411
0.9090351.673988
0.9116851.673867
0.9143441.673747
0.917011.673627
0.9196841.673509
0.9223651.673391
0.9250551.673274
0.9277521.673158
0.9304571.673042
0.933171.672928
0.9358911.672814
0.938621.672701
0.9413571.672589
0.9441021.672478
0.9468551.672367
0.9496161.672257
0.9523851.672148
0.9551621.67204
0.9579471.671933
0.960741.671826
0.9635421.67172
0.9663511.671615
0.9691691.67151
0.9719951.671406
0.9748291.671303
0.9776721.671201
0.9805231.671099
0.9833821.670998
0.9862491.670898
0.9891251.670798
0.9920091.670699
0.9949021.670601
0.9978031.670503
1.000711.670406
1.003631.67031
1.006561.670215
1.009491.67012
1.012431.670025
1.015391.669932
1.018351.669839
1.021321.669746
1.02431.669655
1.027281.669564
1.030281.669473
1.033281.669383
1.036291.669294
1.039321.669206
1.042351.669118
1.045391.66903
1.048431.668943
1.051491.668857
1.054561.668771
1.057631.668686
1.060721.668602
1.063811.668518
1.066911.668435
1.070021.668352
1.073141.66827
1.076271.668188
1.079411.668107
1.082561.668026
1.085711.667946
1.088881.667867
1.092051.667788
1.095241.667709
1.098431.667631
1.101641.667554
1.104851.667477
1.108071.667401
1.11131.667325
1.114541.66725
1.117791.667175
1.121051.6671
1.124321.667027
1.12761.666953
1.130881.66688
1.134181.666808
1.137491.666736
1.140811.666665
1.144131.666594
1.147471.666524
1.150811.666454
1.154171.666384
1.157541.666315
1.160911.666246
1.16431.666178
1.167691.666111
1.17111.666043
1.174511.665977
1.177941.66591
1.181371.665844
1.184811.665779
1.188271.665714
1.191731.665649
1.195211.665585
1.198691.665521
1.202191.665458
1.205691.665395
1.209211.665333
1.212741.66527
1.216271.665209
1.219821.665147
1.223381.665087
1.226941.665026
1.230521.664966
1.234111.664906
1.237711.664847
1.241321.664788
1.244941.66473
1.248571.664672
1.252211.664614
1.255861.664556
1.259521.664499
1.263191.664443
1.266881.664386
1.270571.664331
1.274271.664275
1.277991.66422
1.281721.664165
1.285451.664111
1.28921.664056
1.292961.664003
1.296731.663949
1.300511.663896
1.30431.663844
1.308111.663791
1.311921.663739
1.315751.663687
1.319581.663636
1.323431.663585
1.327291.663534
1.331161.663484
1.335041.663434
1.338941.663384
1.342841.663335
1.346751.663286
1.350681.663237
1.354621.663189
1.358571.66314
1.362531.663093
1.36651.663045
1.370491.662998
1.374491.662951
1.378491.662904
1.382511.662858
1.386541.662812
1.390591.662766
1.394641.662721
1.398711.662676
1.402791.662631
1.406881.662586
1.410981.662542
1.415091.662498
1.419221.662454
1.423361.662411
1.427511.662368
1.431671.662325
1.435851.662282
1.440031.66224
1.444231.662198
1.448441.662156
1.452671.662115
1.45691.662073
1.461151.662032
1.465411.661992
1.469681.661951
1.473971.661911
1.478271.661871
1.482581.661831
1.48691.661792
1.491241.661753
1.495581.661714
1.499941.661675
1.504321.661636
1.50871.661598
1.51311.66156
1.517521.661523
1.521941.661485
1.526381.661448
1.530831.661411
1.535291.661374
1.539771.661337
1.544261.661301
1.548761.661265
1.553281.661229
1.557811.661193
1.562351.661158
1.566911.661123
1.571471.661088
1.576061.661053
1.580651.661018
1.585261.660984
1.589881.66095
1.594521.660916
1.599171.660882
1.603831.660849
1.608511.660816
1.61321.660783
1.61791.66075
1.622621.660717
1.627351.660685
1.63211.660652
1.636861.66062
1.641631.660589
1.646421.660557
1.651221.660526
1.656031.660494
1.660861.660463
1.66571.660432
1.670561.660402
1.675431.660371
1.680321.660341
1.685221.660311
1.690131.660281
1.695061.660251
1.71.660222

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
—