Optical constants

Refractive index of C3H5(OH)3 (Glycerol)

Gupta et al. 2022: n 0.40–0.71 µm

Data
formula 5
Range
0.4–0.71 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–0.71 µm
Refractive index n
1.47133
Extinction coefficient k
0
Permittivity ε1
2.16481
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
64.391
Chromatic dispersion dn/dλ
-0.0379196 µm⁻¹
Group index ng
1.49361
Group velocity dispersion
68.3165 fs²/mm
Dispersion parameter D
-372.703 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

# C3H5(OH)3 (Glycerol): Gupta et al. 2022: n 0.40–0.71 µm
c3h5 = ls.fetch_refractiveindex("organic", "glycerol", "Gupta", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c3h5.range_nm)  # (400, 710) nm
eps = c3h5.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=1.46004+0.00394934611⁢λ−2.0−1.77343×10-5⁢λ−4.0

Valid from 0.4 to 0.71 µm.

Coefficients as stored
CiValue
C11.46004
C20.00394934611
C3-2.0
C4-1.77343e-05
C5-4.0

Comments and conditions

Room temperature.

References

V. Gupta, O. Aftenieva, P. T. Probst, S. Sarkar, A. M. Steiner, N. Vogel, A. Fery, T. A. F. König. Advanced colloidal sensors enabled by an out-of-plane lattice resonance. Adv. Photonics Res. 2022, 2200152 (see supporting information)
  • doi:10.1002/adpr.202200152 Advanced Colloidal Sensors Enabled by an Out‐of‐Plane Lattice Resonance, Advanced Photonics Research (2022)

Cite

Vaibhav Gupta et al.. Advanced Colloidal Sensors Enabled by an Out‐of‐Plane Lattice Resonance. Advanced Photonics Research, 3, 2200152 (2022), doi:10.1002/adpr.202200152; 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
C3H5(OH)3 (Glycerol), Gupta et al. 2022: n 0.40–0.71 µm: n and k versus wavelength
λ (µm)n
0.41.484031
0.4005761.483964
0.4011521.483897
0.4017291.48383
0.4023081.483764
0.4028871.483698
0.4034661.483632
0.4040471.483566
0.4046281.4835
0.4052111.483435
0.4057941.48337
0.4063781.483304
0.4069631.483239
0.4075481.483175
0.4081351.48311
0.4087221.483046
0.4093111.482981
0.40991.482917
0.4104891.482853
0.411081.48279
0.4116721.482726
0.4122641.482663
0.4128581.4826
0.4134521.482536
0.4140471.482474
0.4146431.482411
0.4152391.482348
0.4158371.482286
0.4164351.482224
0.4170351.482162
0.4176351.4821
0.4182361.482038
0.4188381.481977
0.4194411.481915
0.4200441.481854
0.4206491.481793
0.4212541.481732
0.421861.481672
0.4224671.481611
0.4230751.481551
0.4236841.481491
0.4242941.481431
0.4249051.481371
0.4255161.481311
0.4261281.481251
0.4267421.481192
0.4273561.481133
0.4279711.481074
0.4285871.481015
0.4292041.480956
0.4298211.480898
0.430441.480839
0.4310591.480781
0.431681.480723
0.4323011.480665
0.4329231.480607
0.4335461.480549
0.434171.480492
0.4347951.480435
0.435421.480377
0.4360471.48032
0.4366751.480264
0.4373031.480207
0.4379321.48015
0.4385631.480094
0.4391941.480038
0.4398261.479982
0.4404591.479926
0.4410931.47987
0.4417281.479814
0.4423631.479759
0.4431.479704
0.4436371.479649
0.4442761.479594
0.4449151.479539
0.4455551.479484
0.4461971.479429
0.4468391.479375
0.4474821.479321
0.4481261.479267
0.4487711.479213
0.4494171.479159
0.4500631.479105
0.4507111.479052
0.451361.478998
0.4520091.478945
0.452661.478892
0.4533111.478839
0.4539641.478786
0.4546171.478734
0.4552711.478681
0.4559261.478629
0.4565821.478577
0.457241.478525
0.4578981.478473
0.4585571.478421
0.4592171.478369
0.4598771.478318
0.4605391.478266
0.4612021.478215
0.4618661.478164
0.462531.478113
0.4631961.478062
0.4638631.478012
0.464531.477961
0.4651991.477911
0.4658681.47786
0.4665391.47781
0.467211.47776
0.4678821.477711
0.4685561.477661
0.469231.477611
0.4699051.477562
0.4705821.477513
0.4712591.477463
0.4719371.477414
0.4726161.477366
0.4732961.477317
0.4739781.477268
0.474661.47722
0.4753431.477171
0.4760271.477123
0.4767121.477075
0.4773981.477027
0.4780851.476979
0.4787731.476932
0.4794621.476884
0.4801521.476837
0.4808431.476789
0.4815351.476742
0.4822281.476695
0.4829221.476648
0.4836171.476602
0.4843131.476555
0.485011.476508
0.4857081.476462
0.4864071.476416
0.4871071.47637
0.4878081.476324
0.488511.476278
0.4892131.476232
0.4899171.476186
0.4906221.476141
0.4913281.476096
0.4920351.47605
0.4927431.476005
0.4934531.47596
0.4941631.475915
0.4948741.475871
0.4955861.475826
0.4962991.475782
0.4970131.475737
0.4977291.475693
0.4984451.475649
0.4991621.475605
0.4998811.475561
0.50061.475517
0.5013211.475473
0.5020421.47543
0.5027641.475387
0.5034881.475343
0.5042131.4753
0.5049381.475257
0.5056651.475214
0.5063931.475171
0.5071211.475129
0.5078511.475086
0.5085821.475044
0.5093141.475001
0.5100471.474959
0.5107811.474917
0.5115161.474875
0.5122521.474833
0.5129891.474791
0.5137281.47475
0.5144671.474708
0.5152071.474667
0.5159491.474626
0.5166911.474584
0.5174351.474543
0.518181.474502
0.5189251.474462
0.5196721.474421
0.520421.47438
0.5211691.47434
0.5219191.474299
0.522671.474259
0.5234221.474219
0.5241761.474179
0.524931.474139
0.5256851.474099
0.5264421.474059
0.52721.47402
0.5279581.47398
0.5287181.473941
0.5294791.473902
0.5302411.473862
0.5310041.473823
0.5317681.473784
0.5325331.473746
0.53331.473707
0.5340671.473668
0.5348361.47363
0.5356061.473591
0.5363761.473553
0.5371481.473515
0.5379211.473477
0.5386961.473439
0.5394711.473401
0.5402471.473363
0.5410251.473325
0.5418031.473288
0.5425831.47325
0.5433641.473213
0.5441461.473176
0.5449291.473139
0.5457131.473102
0.5464981.473065
0.5472851.473028
0.5480731.472991
0.5488611.472955
0.5496511.472918
0.5504421.472882
0.5512341.472845
0.5520281.472809
0.5528221.472773
0.5536181.472737
0.5544141.472701
0.5552121.472665
0.5560111.472629
0.5568111.472594
0.5576131.472558
0.5584151.472523
0.5592191.472487
0.5600241.472452
0.560831.472417
0.5616371.472382
0.5624451.472347
0.5632541.472312
0.5640651.472278
0.5648771.472243
0.565691.472208
0.5665041.472174
0.5673191.47214
0.5681361.472105
0.5689531.472071
0.5697721.472037
0.5705921.472003
0.5714131.471969
0.5722351.471935
0.5730591.471902
0.5738841.471868
0.574711.471835
0.5755371.471801
0.5763651.471768
0.5771941.471735
0.5780251.471702
0.5788571.471668
0.579691.471636
0.5805241.471603
0.581361.47157
0.5821961.471537
0.5830341.471505
0.5838731.471472
0.5847131.47144
0.5855551.471407
0.5863981.471375
0.5872421.471343
0.5880871.471311
0.5889331.471279
0.5897811.471247
0.5906291.471216
0.5914791.471184
0.5923311.471152
0.5931831.471121
0.5940371.471089
0.5948921.471058
0.5957481.471027
0.5966051.470996
0.5974641.470965
0.5983231.470934
0.5991851.470903
0.6000471.470872
0.600911.470841
0.6017751.470811
0.6026411.47078
0.6035081.47075
0.6043771.470719
0.6052471.470689
0.6061181.470659
0.606991.470629
0.6078641.470599
0.6087381.470569
0.6096141.470539
0.6104921.470509
0.611371.470479
0.612251.47045
0.6131311.47042
0.6140141.470391
0.6148971.470361
0.6157821.470332
0.6166681.470303
0.6175561.470274
0.6184451.470245
0.6193351.470216
0.6202261.470187
0.6211191.470158
0.6220121.470129
0.6229081.470101
0.6238041.470072
0.6247021.470044
0.6256011.470015
0.6265011.469987
0.6274031.469959
0.6283061.46993
0.629211.469902
0.6301151.469874
0.6310221.469846
0.631931.469819
0.632841.469791
0.6337511.469763
0.6346631.469736
0.6355761.469708
0.6364911.469681
0.6374071.469653
0.6383241.469626
0.6392431.469599
0.6401621.469571
0.6410841.469544
0.6420061.469517
0.642931.46949
0.6438561.469464
0.6447821.469437
0.645711.46941
0.6466391.469384
0.647571.469357
0.6485021.469331
0.6494351.469304
0.650371.469278
0.6513061.469252
0.6522431.469225
0.6531821.469199
0.6541221.469173
0.6550631.469147
0.6560061.469121
0.656951.469096
0.6578951.46907
0.6588421.469044
0.659791.469019
0.660741.468993
0.6616911.468968
0.6626431.468942
0.6635971.468917
0.6645521.468892
0.6655081.468867
0.6664661.468841
0.6674251.468816
0.6683851.468792
0.6693471.468767
0.6703111.468742
0.6712751.468717
0.6722411.468692
0.6732091.468668
0.6741781.468643
0.6751481.468619
0.6761191.468594
0.6770921.46857
0.6780671.468546
0.6790431.468522
0.680021.468498
0.6809991.468473
0.6819791.46845
0.682961.468426
0.6839431.468402
0.6849271.468378
0.6859131.468354
0.68691.468331
0.6878891.468307
0.6888791.468283
0.689871.46826
0.6908631.468237
0.6918571.468213
0.6928531.46819
0.693851.468167
0.6948481.468144
0.6958481.468121
0.696851.468098
0.6978531.468075
0.6988571.468052
0.6998631.468029
0.700871.468006
0.7018781.467984
0.7028891.467961
0.70391.467939
0.7049131.467916
0.7059281.467894
0.7069431.467871
0.7079611.467849
0.708981.467827
0.711.467805

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
—