Optical constants

Refractive index of C4H9OH (Butanol)

Chang et al. 2024: n 0.4–2.0 µm

Data
formula 1
Range
0.4–2 µm
Temperature
295 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–2 µm
Refractive index n
1.39869
Extinction coefficient k
0
Permittivity ε1
1.95633
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
63.005
Chromatic dispersion dn/dλ
-0.0325675 µm⁻¹
Group index ng
1.41783
Group velocity dispersion
59.7987 fs²/mm
Dispersion parameter D
-326.234 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

# C4H9OH (Butanol): Chang et al. 2024: n 0.4–2.0 µm
c4h9oh = ls.fetch_refractiveindex("organic", "butanol", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c4h9oh.range_nm)  # (400, 2000) nm
eps = c4h9oh.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

Sellmeier (formula 1), λ in µm
n2−1=0.9314λ2λ2−0.09592+0.0137λ2λ2−2.972

Valid from 0.4 to 2.0 µm.

Coefficients as stored
CiValue
C10.0
C20.9314
C30.0959
C40.0137
C52.97

Comments and conditions

1-Butanol. 21.5–22.0 °C.

Conditions

temperature
295 K

References

H.-J. Chang, N. Munera, C. Lopez-Zelaya, D. Banerjee, G. Beadie, E. W. Van Stryland, D. J. Hagan. Refractive index measurements of liquids from 0.5 to 2 µm using Rayleigh interferometry. Opt. Mater. Express 14, 1253–1267 (2024)
  • doi:10.1364/ome.519907 Refractive index measurements of liquids from 0.5 to 2 µm using Rayleigh interferometry, Optical Materials Express (2024)

Cite

Hao-Jung Chang et al.. Refractive index measurements of liquids from 0.5 to 2 µm using Rayleigh interferometry. Optical Materials Express, 14, 1253 (2024), doi:10.1364/ome.519907; 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
C4H9OH (Butanol), Chang et al. 2024: n 0.4–2.0 µm: n and k versus wavelength
λ (µm)n
0.41.409946
0.4016171.409774
0.403241.409603
0.404871.409434
0.4065061.409266
0.4081491.409099
0.4097991.408935
0.4114551.408771
0.4131181.408609
0.4147881.408448
0.4164651.408289
0.4181481.408131
0.4198381.407975
0.4215351.40782
0.4232391.407666
0.4249491.407513
0.4266671.407362
0.4283911.407213
0.4301231.407064
0.4318611.406917
0.4336071.406771
0.4353591.406626
0.4371191.406483
0.4388861.406341
0.440661.4062
0.4424411.40606
0.4442291.405922
0.4460241.405784
0.4478271.405648
0.4496371.405513
0.4514551.405379
0.4532791.405247
0.4551111.405115
0.4569511.404985
0.4587981.404855
0.4606521.404727
0.4625141.4046
0.4643831.404474
0.466261.404349
0.4681451.404225
0.4700371.404102
0.4719371.403981
0.4738441.40386
0.475761.40374
0.4776831.403621
0.4796131.403504
0.4815521.403387
0.4834981.403271
0.4854521.403156
0.4874141.403043
0.4893851.40293
0.4913631.402818
0.4933491.402707
0.4953431.402597
0.4973451.402488
0.4993551.40238
0.5013731.402273
0.50341.402166
0.5054341.402061
0.5074771.401956
0.5095281.401852
0.5115881.40175
0.5136551.401648
0.5157321.401547
0.5178161.401446
0.5199091.401347
0.522011.401248
0.524121.40115
0.5262391.401053
0.5283661.400957
0.5305011.400862
0.5326451.400767
0.5347981.400673
0.536961.40058
0.539131.400488
0.5413091.400396
0.5434971.400306
0.5456941.400216
0.5478991.400126
0.5501141.400038
0.5523371.39995
0.554571.399863
0.5568111.399776
0.5590621.399691
0.5613211.399606
0.563591.399521
0.5658681.399438
0.5681551.399355
0.5704521.399273
0.5727571.399191
0.5750721.39911
0.5773971.39903
0.579731.39895
0.5820731.398871
0.5844261.398793
0.5867881.398715
0.589161.398638
0.5915411.398562
0.5939321.398486
0.5963331.39841
0.5987431.398336
0.6011631.398262
0.6035931.398188
0.6060321.398115
0.6084821.398043
0.6109411.397971
0.6134111.3979
0.615891.39783
0.6183791.39776
0.6208791.39769
0.6233881.397621
0.6259081.397553
0.6284381.397485
0.6309781.397418
0.6335281.397351
0.6360881.397285
0.6386591.397219
0.6412411.397154
0.6438331.397089
0.6464351.397025
0.6490481.396961
0.6516711.396898
0.6543051.396835
0.6569491.396773
0.6596051.396711
0.6622711.39665
0.6649481.396589
0.6676351.396529
0.6703341.396469
0.6730431.39641
0.6757631.396351
0.6784951.396292
0.6812371.396234
0.683991.396177
0.6867551.396119
0.6895311.396063
0.6923181.396006
0.6951161.395951
0.6979251.395895
0.7007461.39584
0.7035791.395785
0.7064221.395731
0.7092781.395677
0.7121441.395624
0.7150231.395571
0.7179131.395518
0.7208141.395466
0.7237281.395414
0.7266531.395363
0.729591.395312
0.7325391.395261
0.73551.395211
0.7384721.395161
0.7414571.395111
0.7444541.395062
0.7474631.395013
0.7504841.394965
0.7535171.394917
0.7565631.394869
0.7596211.394821
0.7626911.394774
0.7657741.394727
0.7688691.394681
0.7719771.394635
0.7750971.394589
0.778231.394544
0.7813751.394498
0.7845331.394454
0.7877041.394409
0.7908881.394365
0.7940851.394321
0.7972941.394277
0.8005171.394234
0.8037521.394191
0.8070011.394148
0.8102631.394106
0.8135381.394064
0.8168261.394022
0.8201271.39398
0.8234421.393939
0.826771.393898
0.8301121.393857
0.8334671.393817
0.8368361.393777
0.8402181.393737
0.8436141.393697
0.8470241.393658
0.8504471.393618
0.8538851.39358
0.8573361.393541
0.8608011.393502
0.864281.393464
0.8677741.393426
0.8712811.393389
0.8748031.393351
0.8783381.393314
0.8818881.393277
0.8854531.39324
0.8890321.393204
0.8926251.393168
0.8962331.393131
0.8998551.393096
0.9034921.39306
0.9071441.393025
0.9108111.392989
0.9144921.392954
0.9181881.392919
0.9218991.392885
0.9256261.39285
0.9293671.392816
0.9331231.392782
0.9368951.392748
0.9406811.392715
0.9444831.392681
0.9483011.392648
0.9521341.392615
0.9559821.392582
0.9598461.392549
0.9637261.392517
0.9676211.392484
0.9715321.392452
0.9754581.39242
0.9794011.392388
0.983361.392356
0.9873341.392325
0.9913251.392293
0.9953321.392262
0.9993551.392231
1.003391.3922
1.007451.392169
1.011521.392139
1.015611.392108
1.019711.392078
1.023841.392048
1.027971.392017
1.032131.391987
1.03631.391958
1.040491.391928
1.044691.391898
1.048921.391869
1.053161.39184
1.057411.39181
1.061691.391781
1.065981.391752
1.070291.391723
1.074611.391694
1.078961.391666
1.083321.391637
1.08771.391609
1.092091.39158
1.096511.391552
1.100941.391524
1.105391.391496
1.109861.391468
1.114341.39144
1.118851.391412
1.123371.391384
1.127911.391357
1.132471.391329
1.137041.391302
1.141641.391274
1.146251.391247
1.150891.391219
1.155541.391192
1.160211.391165
1.16491.391138
1.169611.391111
1.174331.391084
1.179081.391057
1.183851.39103
1.188631.391003
1.193441.390976
1.198261.39095
1.20311.390923
1.207971.390896
1.212851.390869
1.217751.390843
1.222671.390816
1.227611.39079
1.232581.390763
1.237561.390737
1.242561.39071
1.247581.390684
1.252621.390657
1.257691.390631
1.262771.390604
1.267871.390578
1.2731.390551
1.278141.390525
1.283311.390498
1.28851.390472
1.29371.390445
1.298931.390419
1.304181.390392
1.309451.390366
1.314751.390339
1.320061.390313
1.32541.390286
1.330751.390259
1.336131.390233
1.341531.390206
1.346961.390179
1.35241.390152
1.357871.390125
1.363351.390098
1.368861.390072
1.37441.390044
1.379951.390017
1.385531.38999
1.391131.389963
1.396751.389936
1.40241.389908
1.408071.389881
1.413761.389853
1.419471.389826
1.425211.389798
1.430971.38977
1.436751.389742
1.442561.389714
1.448391.389686
1.454241.389657
1.460121.389629
1.466021.3896
1.471951.389572
1.47791.389543
1.483871.389514
1.489871.389485
1.495891.389456
1.501941.389426
1.508011.389397
1.51411.389367
1.520221.389337
1.526371.389307
1.532541.389277
1.538731.389246
1.544951.389216
1.551191.389185
1.557461.389154
1.563761.389123
1.570081.389091
1.576431.389059
1.58281.389027
1.589191.388995
1.595621.388963
1.602071.38893
1.608541.388897
1.615041.388864
1.621571.388831
1.628131.388797
1.634711.388763
1.641311.388729
1.647951.388694
1.654611.388659
1.66131.388624
1.668011.388588
1.674751.388552
1.681521.388516
1.688321.388479
1.695141.388442
1.701991.388405
1.708871.388367
1.715781.388329
1.722711.38829
1.729681.388251
1.736671.388211
1.743691.388171
1.750741.388131
1.757811.38809
1.764921.388049
1.772051.388007
1.779211.387964
1.78641.387921
1.793621.387878
1.800871.387834
1.808151.387789
1.815461.387744
1.82281.387698
1.830171.387652
1.837561.387605
1.844991.387557
1.852451.387508
1.859931.387459
1.867451.387409
1.8751.387359
1.882581.387307
1.890191.387255
1.897831.387202
1.90551.387148
1.91321.387094
1.920931.387038
1.92871.386982
1.936491.386924
1.944321.386866
1.952181.386806
1.960071.386746
1.967991.386684
1.975941.386622
1.983931.386558
1.991951.386493
21.386427

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
—