Optical constants

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

Wu et al. 1993: n(e) 0.4–0.8 µm; 30.4 °C

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

Uniaxial crystal, axes: e

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–0.8 µm
Refractive index n
1.60908
Extinction coefficient k
0
Permittivity ε1
2.58914
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
36.158
Chromatic dispersion dn/dλ
-0.0829499 µm⁻¹
Group index ng
1.65782
Group velocity dispersion
185.695 fs²/mm
Dispersion parameter D
-1013.06 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; 30.4 °C
mat = ls.fetch_refractiveindex("other", "5PCH", "Wu-30.4C-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=0.4566+1.735525.0−λ−2+1.125118.1077−λ−2

Valid from 0.4 to 0.8 µm.

Coefficients as stored
CiValue
C10.4566
C21.7355
C325.0
C41.1251
C518.1077

Comments and conditions

30.4 °C. Extraordinary ray (e).

Conditions

temperature
303.55 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; 30.4 °C: n and k versus wavelength
λ (µm)n
0.41.644043
0.4006951.643763
0.4013921.643485
0.402091.643209
0.4027891.642934
0.403491.642662
0.4041911.642391
0.4048941.642121
0.4055981.641854
0.4063031.641588
0.407011.641324
0.4077171.641062
0.4084261.640801
0.4091361.640542
0.4098481.640285
0.410561.640029
0.4112741.639775
0.4119891.639523
0.4127061.639272
0.4134231.639023
0.4141421.638775
0.4148621.638529
0.4155831.638285
0.4163061.638041
0.417031.6378
0.4177551.63756
0.4184811.637321
0.4192091.637084
0.4199381.636849
0.4206681.636615
0.4213991.636382
0.4221321.636151
0.4228661.635921
0.4236011.635693
0.4243381.635466
0.4250761.63524
0.4258151.635016
0.4265551.634793
0.4272971.634572
0.428041.634351
0.4287841.634132
0.4295291.633915
0.4302761.633699
0.4310241.633484
0.4317741.63327
0.4325251.633058
0.4332771.632847
0.434031.632637
0.4347851.632428
0.4355411.632221
0.4362981.632015
0.4370561.63181
0.4378161.631606
0.4385781.631404
0.439341.631202
0.4401041.631002
0.4408691.630803
0.4416361.630605
0.4424041.630409
0.4431731.630213
0.4439431.630019
0.4447151.629826
0.4454891.629634
0.4462631.629442
0.4470391.629253
0.4478161.629064
0.4485951.628876
0.4493751.628689
0.4501561.628504
0.4509391.628319
0.4517231.628136
0.4525081.627953
0.4532951.627772
0.4540831.627591
0.4548731.627412
0.4556641.627234
0.4564561.627056
0.457251.62688
0.4580451.626705
0.4588411.62653
0.4596391.626357
0.4604381.626184
0.4612391.626013
0.4620411.625842
0.4628441.625673
0.4636491.625504
0.4644551.625336
0.4652631.62517
0.4660721.625004
0.4668821.624839
0.4676941.624675
0.4685071.624512
0.4693211.624349
0.4701371.624188
0.4709551.624027
0.4717741.623868
0.4725941.623709
0.4734161.623551
0.4742391.623394
0.4750631.623238
0.4758891.623083
0.4767171.622928
0.4775461.622775
0.4783761.622622
0.4792081.62247
0.4800411.622319
0.4808761.622168
0.4817121.622019
0.4825491.62187
0.4833881.621722
0.4842291.621575
0.4850711.621428
0.4859141.621282
0.4867591.621138
0.4876051.620994
0.4884531.62085
0.4893031.620708
0.4901531.620566
0.4910061.620425
0.4918591.620284
0.4927141.620145
0.4935711.620006
0.4944291.619868
0.4952891.61973
0.496151.619593
0.4970131.619457
0.4978771.619322
0.4987431.619187
0.499611.619054
0.5004791.61892
0.5013491.618788
0.502221.618656
0.5030941.618525
0.5039681.618394
0.5048451.618264
0.5057221.618135
0.5066021.618007
0.5074831.617879
0.5083651.617752
0.5092491.617625
0.5101341.617499
0.5110211.617374
0.511911.617249
0.51281.617125
0.5136921.617002
0.5145851.616879
0.5154791.616757
0.5163761.616636
0.5172741.616515
0.5181731.616395
0.5190741.616275
0.5199761.616156
0.520881.616037
0.5217861.615919
0.5226931.615802
0.5236021.615685
0.5245131.615569
0.5254251.615454
0.5263381.615339
0.5272531.615224
0.528171.61511
0.5290881.614997
0.5300081.614884
0.530931.614772
0.5318531.614661
0.5327781.61455
0.5337041.614439
0.5346321.614329
0.5355621.61422
0.5364931.614111
0.5374261.614002
0.538361.613894
0.5392961.613787
0.5402341.61368
0.5411731.613574
0.5421141.613468
0.5430571.613363
0.5440011.613258
0.5449471.613154
0.5458941.61305
0.5468431.612947
0.5477941.612844
0.5487471.612742
0.5497011.61264
0.5506571.612539
0.5516141.612438
0.5525731.612338
0.5535341.612238
0.5544961.612139
0.555461.61204
0.5564261.611942
0.5573941.611844
0.5583631.611747
0.5593341.61165
0.5603061.611553
0.561281.611457
0.5622561.611361
0.5632341.611266
0.5642131.611172
0.5651941.611077
0.5661771.610984
0.5671611.61089
0.5681481.610797
0.5691351.610705
0.5701251.610613
0.5711161.610521
0.5721091.61043
0.5731041.610339
0.57411.610249
0.5750991.610159
0.5760991.61007
0.57711.60998
0.5781041.609892
0.5791091.609804
0.5801161.609716
0.5811241.609628
0.5821351.609541
0.5831471.609455
0.5841611.609368
0.5851771.609283
0.5861941.609197
0.5872131.609112
0.5882341.609028
0.5892571.608943
0.5902821.60886
0.5913081.608776
0.5923361.608693
0.5933661.60861
0.5943981.608528
0.5954311.608446
0.5964661.608364
0.5975041.608283
0.5985421.608202
0.5995831.608122
0.6006261.608042
0.601671.607962
0.6027161.607883
0.6037641.607804
0.6048141.607725
0.6058651.607647
0.6069191.607569
0.6079741.607491
0.6090311.607414
0.610091.607337
0.6111511.607261
0.6122141.607185
0.6132781.607109
0.6143441.607033
0.6154131.606958
0.6164831.606883
0.6175541.606809
0.6186281.606735
0.6197041.606661
0.6207811.606587
0.6218611.606514
0.6229421.606441
0.6240251.606369
0.625111.606297
0.6261971.606225
0.6272861.606153
0.6283761.606082
0.6294691.606011
0.6305631.605941
0.631661.60587
0.6327581.6058
0.6338581.605731
0.634961.605661
0.6360641.605592
0.637171.605524
0.6382781.605455
0.6393881.605387
0.64051.605319
0.6416131.605252
0.6427291.605184
0.6438471.605117
0.6449661.605051
0.6460871.604984
0.6472111.604918
0.6483361.604853
0.6494631.604787
0.6505931.604722
0.6517241.604657
0.6528571.604592
0.6539921.604528
0.6551291.604464
0.6562681.6044
0.6574091.604337
0.6585521.604273
0.6596971.604211
0.6608441.604148
0.6619931.604085
0.6631451.604023
0.6642981.603961
0.6654531.6039
0.666611.603838
0.6677691.603777
0.668931.603717
0.6700931.603656
0.6712581.603596
0.6724251.603536
0.6735941.603476
0.6747651.603416
0.6759391.603357
0.6771141.603298
0.6782911.603239
0.6794711.603181
0.6806521.603123
0.6818351.603065
0.6830211.603007
0.6842091.60295
0.6853981.602892
0.686591.602835
0.6877841.602779
0.688981.602722
0.6901771.602666
0.6913781.60261
0.692581.602554
0.6937841.602498
0.694991.602443
0.6961991.602388
0.6974091.602333
0.6986221.602278
0.6998361.602224
0.7010531.60217
0.7022721.602116
0.7034931.602062
0.7047161.602009
0.7059421.601955
0.7071691.601902
0.7083991.60185
0.709631.601797
0.7108641.601745
0.71211.601693
0.7133381.601641
0.7145791.601589
0.7158211.601537
0.7170661.601486
0.7183121.601435
0.7195611.601384
0.7208131.601334
0.7220661.601283
0.7233211.601233
0.7245791.601183
0.7258391.601133
0.7271011.601084
0.7283651.601034
0.7296311.600985
0.73091.600936
0.7321711.600887
0.7334441.600839
0.7347191.60079
0.7359971.600742
0.7372761.600694
0.7385581.600647
0.7398421.600599
0.7411291.600552
0.7424171.600505
0.7437081.600458
0.7450011.600411
0.7462971.600364
0.7475941.600318
0.7488941.600272
0.7501961.600226
0.7515011.60018
0.7528071.600134
0.7541161.600089
0.7554271.600043
0.7567411.599998
0.7580571.599954
0.7593751.599909
0.7606951.599864
0.7620181.59982
0.7633431.599776
0.764671.599732
0.7659991.599688
0.7673311.599644
0.7686651.599601
0.7700021.599558
0.7713411.599515
0.7726821.599472
0.7740251.599429
0.7753711.599387
0.7767191.599344
0.778071.599302
0.7794231.59926
0.7807781.599218
0.7821351.599176
0.7834951.599135
0.7848581.599094
0.7862221.599052
0.7875891.599011
0.7889591.59897
0.7903311.59893
0.7917051.598889
0.7930811.598849
0.794461.598809
0.7958421.598769
0.7972251.598729
0.7986111.598689
0.81.59865

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
—