Optical constants

Refractive index of C4H9OH (Butanol)

Moutzouris et al. 2013: iso-Butanol; n 0.450–1.55 µm

Data
formula 3
Range
0.45–1.551 µm
Temperature
300 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.45–1.551 µm
Refractive index n
1.39294
Extinction coefficient k
0
Permittivity ε1
1.94027
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
61.684
Chromatic dispersion dn/dλ
-0.0306062 µm⁻¹
Group index ng
1.41092
Group velocity dispersion
64.525 fs²/mm
Dispersion parameter D
-352.018 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): Moutzouris et al. 2013: iso-Butanol; n 0.450–1.55 µm
c4h9oh = ls.fetch_refractiveindex("organic", "butanol", "Moutzouris-iso", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c4h9oh.range_nm)  # (450, 1551) 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

Polynomial (formula 3), λ in µm
n2=1.913001067−0.00152344⁢λ2.0+0.01303537⁢λ−2.0−0.00198394⁢λ−4.0+0.000275162⁢λ−6.0

Valid from 0.45 to 1.551 µm.

Coefficients as stored
CiValue
C11.913001067
C2-0.00152344
C32.0
C40.01303537
C5-2.0
C6-0.00198394
C7-4.0
C80.000275162
C9-6.0

Comments and conditions

Isobutanol; 300 K (27 °C).

Conditions

temperature
300 K

References

K. Moutzouris, M. Papamichael, S. C. Betsis, I. Stavrakas, G. Hloupis, D. Triantis. Refractive, dispersive and thermo-optic properties of twelve organic solvents in the visible and near-infrared. Appl. Phys. B 116, 617-622 (2013)
  • doi:10.1007/s00340-013-5744-3 Refractive, dispersive and thermo-optic properties of twelve organic solvents in the visible and near-infrared, Applied Physics B (2013)

Cite

Konstantinos Moutzouris et al.. Refractive, dispersive and thermo-optic properties of twelve organic solvents in the visible and near-infrared. Applied Physics B, 116, 617-622 (2013), doi:10.1007/s00340-013-5744-3; 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), Moutzouris et al. 2013: iso-Butanol; n 0.450–1.55 µm: n and k versus wavelength
λ (µm)n
0.451.40065
0.4513981.400502
0.45281.400356
0.4542061.400213
0.4556171.400072
0.4570321.399932
0.4584521.399795
0.4598761.39966
0.4613041.399527
0.4627371.399396
0.4641741.399267
0.4656161.399139
0.4670621.399014
0.4685131.39889
0.4699681.398768
0.4714281.398648
0.4728921.398529
0.4743611.398412
0.4758351.398297
0.4773131.398183
0.4787951.398071
0.4802821.39796
0.4817741.397851
0.4832711.397743
0.4847721.397637
0.4862771.397532
0.4877881.397429
0.4893031.397327
0.4908231.397226
0.4923471.397126
0.4938771.397028
0.4954111.396931
0.4969491.396835
0.4984931.39674
0.5000411.396647
0.5015951.396554
0.5031531.396463
0.5047151.396373
0.5062831.396284
0.5078561.396196
0.5094331.396109
0.5110151.396023
0.5126031.395938
0.5141951.395854
0.5157921.395771
0.5173941.395689
0.5190011.395607
0.5206131.395527
0.522231.395448
0.5238521.395369
0.525481.395291
0.5271121.395214
0.5287491.395138
0.5303911.395063
0.5320391.394988
0.5336911.394914
0.5353491.394841
0.5370121.394769
0.538681.394698
0.5403531.394627
0.5420311.394557
0.5437151.394487
0.5454041.394418
0.5470981.39435
0.5487971.394283
0.5505021.394216
0.5522121.394149
0.5539271.394084
0.5556471.394019
0.5573731.393954
0.5591051.39389
0.5608411.393827
0.5625831.393764
0.5643311.393702
0.5660841.39364
0.5678421.393579
0.5696061.393518
0.5713751.393458
0.573151.393399
0.574931.393339
0.5767161.393281
0.5785071.393222
0.5803041.393165
0.5821061.393107
0.5839141.39305
0.5857281.392994
0.5875471.392938
0.5893721.392882
0.5912031.392827
0.5930391.392773
0.5948811.392718
0.5967291.392664
0.5985831.392611
0.6004421.392558
0.6023071.392505
0.6041781.392452
0.6060541.3924
0.6079371.392348
0.6098251.392297
0.6117191.392246
0.6136191.392195
0.6155251.392145
0.6174371.392095
0.6193551.392045
0.6212791.391996
0.6232091.391947
0.6251441.391898
0.6270861.39185
0.6290341.391802
0.6309881.391754
0.6329481.391706
0.6349141.391659
0.6368861.391612
0.6388641.391566
0.6408481.391519
0.6428391.391473
0.6448351.391427
0.6468381.391382
0.6488471.391336
0.6508631.391291
0.6528851.391246
0.6549121.391202
0.6569471.391157
0.6589871.391113
0.6610341.39107
0.6630871.391026
0.6651471.390983
0.6672131.390939
0.6692851.390897
0.6713641.390854
0.6734491.390811
0.6755411.390769
0.677641.390727
0.6797441.390685
0.6818561.390644
0.6839741.390602
0.6860981.390561
0.6882291.39052
0.6903671.390479
0.6925111.390439
0.6946621.390399
0.696821.390358
0.6989841.390318
0.7011551.390279
0.7033331.390239
0.7055181.3902
0.7077091.39016
0.7099071.390121
0.7121121.390082
0.7143241.390044
0.7165431.390005
0.7187691.389967
0.7210011.389929
0.7232411.389891
0.7254871.389853
0.7277411.389815
0.7300011.389778
0.7322691.389741
0.7345431.389703
0.7368251.389666
0.7391131.38963
0.7414091.389593
0.7437121.389556
0.7460221.38952
0.7483391.389484
0.7506641.389448
0.7529951.389412
0.7553341.389376
0.757681.389341
0.7600341.389305
0.7623941.38927
0.7647621.389235
0.7671381.3892
0.7695211.389165
0.7719111.38913
0.7743081.389096
0.7767131.389061
0.7791261.389027
0.7815461.388993
0.7839741.388959
0.7864091.388925
0.7888511.388891
0.7913021.388858
0.7937591.388824
0.7962251.388791
0.7986981.388758
0.8011791.388725
0.8036671.388692
0.8061641.388659
0.8086681.388626
0.8111791.388594
0.8136991.388561
0.8162261.388529
0.8187621.388497
0.8213051.388465
0.8238561.388433
0.8264151.388401
0.8289821.388369
0.8315571.388338
0.834141.388306
0.836731.388275
0.8393291.388244
0.8419361.388213
0.8445521.388182
0.8471751.388151
0.8498061.38812
0.8524461.38809
0.8550941.388059
0.857751.388029
0.8604141.387998
0.8630861.387968
0.8657671.387938
0.8684561.387908
0.8711541.387878
0.873861.387849
0.8765741.387819
0.8792971.387789
0.8820281.38776
0.8847681.387731
0.8875161.387702
0.8902721.387672
0.8930381.387643
0.8958111.387615
0.8985941.387586
0.9013851.387557
0.9041851.387528
0.9069931.3875
0.9098111.387472
0.9126361.387443
0.9154711.387415
0.9183151.387387
0.9211671.387359
0.9240281.387331
0.9268981.387303
0.9297771.387276
0.9326651.387248
0.9355621.387221
0.9384681.387193
0.9413831.387166
0.9443071.387139
0.947241.387112
0.9501831.387085
0.9531341.387058
0.9560941.387031
0.9590641.387004
0.9620431.386977
0.9650311.386951
0.9680291.386924
0.9710361.386898
0.9740521.386872
0.9770771.386845
0.9801121.386819
0.9831561.386793
0.986211.386767
0.9892731.386741
0.9923461.386716
0.9954281.38669
0.998521.386664
1.001621.386639
1.004731.386613
1.007851.386588
1.010981.386563
1.014121.386538
1.017271.386512
1.020431.386487
1.02361.386462
1.026781.386438
1.029971.386413
1.033171.386388
1.036381.386363
1.03961.386339
1.042831.386314
1.046071.38629
1.049321.386266
1.052581.386241
1.055851.386217
1.059131.386193
1.062421.386169
1.065721.386145
1.069031.386121
1.072351.386097
1.075681.386074
1.079021.38605
1.082371.386026
1.085731.386003
1.08911.385979
1.092491.385956
1.095881.385933
1.099281.385909
1.10271.385886
1.106121.385863
1.109561.38584
1.113011.385817
1.116461.385794
1.119931.385771
1.123411.385748
1.12691.385726
1.13041.385703
1.133911.38568
1.137431.385658
1.140961.385635
1.144511.385613
1.148061.385591
1.151631.385568
1.155211.385546
1.158791.385524
1.162391.385502
1.1661.38548
1.169631.385458
1.173261.385436
1.17691.385414
1.180561.385392
1.184231.38537
1.18791.385349
1.191591.385327
1.19531.385305
1.199011.385284
1.202731.385262
1.206471.385241
1.210221.385219
1.213971.385198
1.217741.385177
1.221531.385155
1.225321.385134
1.229131.385113
1.232951.385092
1.236771.385071
1.240621.38505
1.244471.385029
1.248341.385008
1.252211.384987
1.25611.384967
1.261.384946
1.263921.384925
1.267841.384904
1.271781.384884
1.275731.384863
1.279691.384843
1.283671.384822
1.287661.384802
1.291661.384781
1.295671.384761
1.299691.384741
1.303731.38472
1.307781.3847
1.311841.38468
1.315921.38466
1.321.384639
1.32411.384619
1.328221.384599
1.332341.384579
1.336481.384559
1.340631.384539
1.344791.384519
1.348971.384499
1.353161.38448
1.357361.38446
1.361581.38444
1.365811.38442
1.370051.3844
1.374311.384381
1.378581.384361
1.382861.384341
1.387151.384322
1.391461.384302
1.395781.384283
1.400121.384263
1.404471.384244
1.408831.384224
1.413211.384205
1.41761.384185
1.4221.384166
1.426421.384146
1.430851.384127
1.435291.384108
1.439751.384088
1.444221.384069
1.448711.38405
1.453211.384031
1.457721.384011
1.462251.383992
1.466791.383973
1.471351.383954
1.475921.383935
1.48051.383916
1.48511.383896
1.489711.383877
1.494341.383858
1.498981.383839
1.503641.38382
1.508311.383801
1.512991.383782
1.517691.383763
1.522411.383744
1.527141.383725
1.531881.383706
1.536641.383687
1.541411.383668
1.54621.383649
1.5511.38363

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
—