Optical constants

Refractive index of 5PCH (4-trans-pentylcyclohexylcyanobenzene)

Wu et al. 1993: n(e) 0.4–0.8 µm; 50.8 °C

Data
formula 6
Range
0.4–0.8 µm
Temperature
323.95 K
Optical axis
e
Licence
CC0-1.0

Uniaxial crystal, axes: oe

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–0.8 µm
Refractive index n
1.58674
Extinction coefficient k
0
Permittivity ε1
2.51774
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
37.757
Chromatic dispersion dn/dλ
-0.0765398 µm⁻¹
Group index ng
1.63171
Group velocity dispersion
171.211 fs²/mm
Dispersion parameter D
-934.048 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

# 5PCH (4-trans-pentylcyclohexylcyanobenzene): Wu et al. 1993: n(e) 0.4–0.8 µm; 50.8 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-50.8C-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (400, 800) 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

Gases (formula 6), λ in µm
n−1=0.4454+1.646925.0−λ−2+1.016618.1077−λ−2

Valid from 0.4 to 0.8 µm.

Coefficients as stored
CiValue
C10.4454
C21.6469
C325.0
C41.0166
C518.1077

Comments and conditions

50.8 °C. Extraordinary ray (e).

Conditions

temperature
323.95 K
direction
e

References

S. T. Wu, C. Wu, W. Warenghem, M. Ismaili. Refractive index dispersions of liquid crystals. Opt. Eng. 32, 1775-1780 (1993)

Cite

Shin-Tson Wu, ChiungSheng Wu, Marc Warenghem and M. Ismaili. Refractive index dispersions of liquid crystals. Optical Engineering, 32, 1775-1780 (1993), doi:10.1117/12.143988; 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
5PCH (4-trans-pentylcyclohexylcyanobenzene), Wu et al. 1993: n(e) 0.4–0.8 µm; 50.8 °C: n and k versus wavelength
λ (µm)n
0.41.618968
0.4006951.61871
0.4013921.618454
0.402091.618199
0.4027891.617947
0.403491.617695
0.4041911.617446
0.4048941.617198
0.4055981.616952
0.4063031.616707
0.407011.616464
0.4077171.616222
0.4084261.615982
0.4091361.615743
0.4098481.615506
0.410561.615271
0.4112741.615037
0.4119891.614805
0.4127061.614573
0.4134231.614344
0.4141421.614116
0.4148621.613889
0.4155831.613664
0.4163061.61344
0.417031.613217
0.4177551.612996
0.4184811.612777
0.4192091.612558
0.4199381.612341
0.4206681.612126
0.4213991.611911
0.4221321.611698
0.4228661.611487
0.4236011.611276
0.4243381.611067
0.4250761.610859
0.4258151.610653
0.4265551.610447
0.4272971.610243
0.428041.61004
0.4287841.609839
0.4295291.609638
0.4302761.609439
0.4310241.609241
0.4317741.609044
0.4325251.608848
0.4332771.608654
0.434031.60846
0.4347851.608268
0.4355411.608077
0.4362981.607887
0.4370561.607698
0.4378161.607511
0.4385781.607324
0.439341.607139
0.4401041.606954
0.4408691.606771
0.4416361.606588
0.4424041.606407
0.4431731.606227
0.4439431.606048
0.4447151.60587
0.4454891.605693
0.4462631.605517
0.4470391.605342
0.4478161.605168
0.4485951.604995
0.4493751.604823
0.4501561.604651
0.4509391.604481
0.4517231.604312
0.4525081.604144
0.4532951.603977
0.4540831.603811
0.4548731.603645
0.4556641.603481
0.4564561.603317
0.457251.603155
0.4580451.602993
0.4588411.602832
0.4596391.602672
0.4604381.602514
0.4612391.602355
0.4620411.602198
0.4628441.602042
0.4636491.601886
0.4644551.601732
0.4652631.601578
0.4660721.601425
0.4668821.601273
0.4676941.601122
0.4685071.600972
0.4693211.600822
0.4701371.600673
0.4709551.600525
0.4717741.600378
0.4725941.600232
0.4734161.600086
0.4742391.599941
0.4750631.599797
0.4758891.599654
0.4767171.599512
0.4775461.59937
0.4783761.599229
0.4792081.599089
0.4800411.59895
0.4808761.598811
0.4817121.598673
0.4825491.598536
0.4833881.598399
0.4842291.598264
0.4850711.598129
0.4859141.597994
0.4867591.597861
0.4876051.597728
0.4884531.597596
0.4893031.597464
0.4901531.597333
0.4910061.597203
0.4918591.597074
0.4927141.596945
0.4935711.596817
0.4944291.59669
0.4952891.596563
0.496151.596437
0.4970131.596311
0.4978771.596187
0.4987431.596063
0.499611.595939
0.5004791.595816
0.5013491.595694
0.502221.595572
0.5030941.595451
0.5039681.595331
0.5048451.595211
0.5057221.595092
0.5066021.594974
0.5074831.594856
0.5083651.594738
0.5092491.594622
0.5101341.594506
0.5110211.59439
0.511911.594275
0.51281.594161
0.5136921.594047
0.5145851.593934
0.5154791.593821
0.5163761.593709
0.5172741.593598
0.5181731.593487
0.5190741.593376
0.5199761.593266
0.520881.593157
0.5217861.593048
0.5226931.59294
0.5236021.592833
0.5245131.592725
0.5254251.592619
0.5263381.592513
0.5272531.592407
0.528171.592302
0.5290881.592198
0.5300081.592094
0.530931.59199
0.5318531.591887
0.5327781.591785
0.5337041.591683
0.5346321.591581
0.5355621.591481
0.5364931.59138
0.5374261.59128
0.538361.591181
0.5392961.591082
0.5402341.590983
0.5411731.590885
0.5421141.590788
0.5430571.59069
0.5440011.590594
0.5449471.590498
0.5458941.590402
0.5468431.590307
0.5477941.590212
0.5487471.590118
0.5497011.590024
0.5506571.58993
0.5516141.589838
0.5525731.589745
0.5535341.589653
0.5544961.589561
0.555461.58947
0.5564261.589379
0.5573941.589289
0.5583631.589199
0.5593341.58911
0.5603061.589021
0.561281.588932
0.5622561.588844
0.5632341.588756
0.5642131.588669
0.5651941.588582
0.5661771.588495
0.5671611.588409
0.5681481.588323
0.5691351.588238
0.5701251.588153
0.5711161.588069
0.5721091.587984
0.5731041.587901
0.57411.587817
0.5750991.587734
0.5760991.587652
0.57711.58757
0.5781041.587488
0.5791091.587406
0.5801161.587325
0.5811241.587245
0.5821351.587165
0.5831471.587085
0.5841611.587005
0.5851771.586926
0.5861941.586847
0.5872131.586769
0.5882341.586691
0.5892571.586613
0.5902821.586535
0.5913081.586458
0.5923361.586382
0.5933661.586305
0.5943981.586229
0.5954311.586154
0.5964661.586079
0.5975041.586004
0.5985421.585929
0.5995831.585855
0.6006261.585781
0.601671.585707
0.6027161.585634
0.6037641.585561
0.6048141.585489
0.6058651.585416
0.6069191.585345
0.6079741.585273
0.6090311.585202
0.610091.585131
0.6111511.58506
0.6122141.58499
0.6132781.58492
0.6143441.58485
0.6154131.584781
0.6164831.584712
0.6175541.584643
0.6186281.584575
0.6197041.584506
0.6207811.584439
0.6218611.584371
0.6229421.584304
0.6240251.584237
0.625111.58417
0.6261971.584104
0.6272861.584038
0.6283761.583972
0.6294691.583907
0.6305631.583842
0.631661.583777
0.6327581.583712
0.6338581.583648
0.634961.583584
0.6360641.58352
0.637171.583457
0.6382781.583394
0.6393881.583331
0.64051.583268
0.6416131.583206
0.6427291.583144
0.6438471.583082
0.6449661.583021
0.6460871.582959
0.6472111.582898
0.6483361.582838
0.6494631.582777
0.6505931.582717
0.6517241.582657
0.6528571.582598
0.6539921.582538
0.6551291.582479
0.6562681.58242
0.6574091.582362
0.6585521.582303
0.6596971.582245
0.6608441.582187
0.6619931.58213
0.6631451.582072
0.6642981.582015
0.6654531.581958
0.666611.581902
0.6677691.581845
0.668931.581789
0.6700931.581733
0.6712581.581678
0.6724251.581622
0.6735941.581567
0.6747651.581512
0.6759391.581457
0.6771141.581403
0.6782911.581349
0.6794711.581295
0.6806521.581241
0.6818351.581187
0.6830211.581134
0.6842091.581081
0.6853981.581028
0.686591.580976
0.6877841.580923
0.688981.580871
0.6901771.580819
0.6913781.580767
0.692581.580716
0.6937841.580665
0.694991.580614
0.6961991.580563
0.6974091.580512
0.6986221.580462
0.6998361.580411
0.7010531.580361
0.7022721.580312
0.7034931.580262
0.7047161.580213
0.7059421.580163
0.7071691.580115
0.7083991.580066
0.709631.580017
0.7108641.579969
0.71211.579921
0.7133381.579873
0.7145791.579825
0.7158211.579778
0.7170661.57973
0.7183121.579683
0.7195611.579636
0.7208131.579589
0.7220661.579543
0.7233211.579497
0.7245791.57945
0.7258391.579404
0.7271011.579359
0.7283651.579313
0.7296311.579268
0.73091.579223
0.7321711.579177
0.7334441.579133
0.7347191.579088
0.7359971.579044
0.7372761.578999
0.7385581.578955
0.7398421.578911
0.7411291.578868
0.7424171.578824
0.7437081.578781
0.7450011.578738
0.7462971.578695
0.7475941.578652
0.7488941.578609
0.7501961.578567
0.7515011.578524
0.7528071.578482
0.7541161.57844
0.7554271.578398
0.7567411.578357
0.7580571.578315
0.7593751.578274
0.7606951.578233
0.7620181.578192
0.7633431.578151
0.764671.578111
0.7659991.57807
0.7673311.57803
0.7686651.57799
0.7700021.57795
0.7713411.57791
0.7726821.577871
0.7740251.577831
0.7753711.577792
0.7767191.577753
0.778071.577714
0.7794231.577675
0.7807781.577636
0.7821351.577598
0.7834951.57756
0.7848581.577521
0.7862221.577483
0.7875891.577446
0.7889591.577408
0.7903311.57737
0.7917051.577333
0.7930811.577296
0.794461.577258
0.7958421.577222
0.7972251.577185
0.7986111.577148
0.81.577112

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
—