Optical constants

Refractive index of C₂H₄O₂ (Acetic acid)

El-Kashef 2000: n 0.4–0.8 µm

Data: formula 5
Range: 0.4–0.8 µm
Temperature: 293 K
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.37198
Extinction coefficient k: 0

Permittivity ε₁: 1.88232
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: 18.191
Chromatic dispersion dn/dλ: -0.105559 µm⁻¹

Group index n_g: 1.434
Group velocity dispersion: 193.623 fs²/mm

Dispersion parameter D: -1056.32 ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = 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

# C2H4O2 (Acetic acid): El-Kashef 2000: n 0.4–0.8 µm
c2h4o2 = ls.fetch_refractiveindex("organic", "acetic_acid", "El-Kashef", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c2h4o2.range_nm)  # (400, 800) nm
eps = c2h4o2.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_334e4bdb77f3/lightsmith"
c2h4o2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c2h4o2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (acetic-acid/el-kashef-2000).

# ... load c2h4o2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c2h4o2)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=800, num=81),
)
res = ls.solve(sim)  # exact Mie for a sphere
print(res.q_ext)     # extinction efficiency at each wavelength

Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).

Materials guide Open a sphere of it in Studio Quick start Ask the community

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 = 1.340964 + 0.010708022 λ^{- 2.0}

Valid from 0.4 to 0.8 µm.

Coefficients as stored

C_i	Value
C1	1.340964
C2	0.010708022
C3	-2.0

Comments and conditions

20 °C

Conditions

temperature: 293 K

References

H. El-Kashef. The necessary requirements imposed on polar dielectric laser dye solvents. Physica B 279, 295-301 (2000)

doi:10.1016/s0921-4526(99)00856-x The necessary requirements imposed on polar dielectric laser dye solvents, Physica B: Condensed Matter (2000)

Cite

Hassan El-Kashef. The necessary requirements imposed on polar dielectric laser dye solvents. Physica B: Condensed Matter, 279, 295-301 (2000), doi:10.1016/s0921-4526(99)00856-x; 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

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

C2H4O2 (Acetic acid), El-Kashef 2000: n 0.4–0.8 µm: n and k versus wavelength
λ (µm)	n
0.4	1.407889
0.400695	1.407657
0.401392	1.407426
0.40209	1.407195
0.402789	1.406965
0.40349	1.406737
0.404191	1.406508
0.404894	1.406281
0.405598	1.406055
0.406303	1.405829
0.40701	1.405604
0.407717	1.40538
0.408426	1.405156
0.409136	1.404934
0.409848	1.404712
0.41056	1.404491
0.411274	1.40427
0.411989	1.404051
0.412706	1.403832
0.413423	1.403614
0.414142	1.403397
0.414862	1.40318
0.415583	1.402964
0.416306	1.402749
0.41703	1.402535
0.417755	1.402321
0.418481	1.402108
0.419209	1.401896
0.419938	1.401685
0.420668	1.401474
0.421399	1.401265
0.422132	1.401055
0.422866	1.400847
0.423601	1.400639
0.424338	1.400432
0.425076	1.400226
0.425815	1.400021
0.426555	1.399816
0.427297	1.399612
0.42804	1.399408
0.428784	1.399205
0.429529	1.399003
0.430276	1.398802
0.431024	1.398602
0.431774	1.398402
0.432525	1.398202
0.433277	1.398004
0.43403	1.397806
0.434785	1.397609
0.435541	1.397412
0.436298	1.397217
0.437056	1.397022
0.437816	1.396827
0.438578	1.396633
0.43934	1.39644
0.440104	1.396248
0.440869	1.396056
0.441636	1.395865
0.442404	1.395675
0.443173	1.395485
0.443943	1.395296
0.444715	1.395107
0.445489	1.39492
0.446263	1.394732
0.447039	1.394546
0.447816	1.39436
0.448595	1.394175
0.449375	1.39399
0.450156	1.393806
0.450939	1.393623
0.451723	1.39344
0.452508	1.393258
0.453295	1.393077
0.454083	1.392896
0.454873	1.392716
0.455664	1.392537
0.456456	1.392358
0.45725	1.39218
0.458045	1.392002
0.458841	1.391825
0.459639	1.391649
0.460438	1.391473
0.461239	1.391298
0.462041	1.391123
0.462844	1.390949
0.463649	1.390776
0.464455	1.390603
0.465263	1.390431
0.466072	1.390259
0.466882	1.390088
0.467694	1.389918
0.468507	1.389748
0.469321	1.389579
0.470137	1.38941
0.470955	1.389242
0.471774	1.389075
0.472594	1.388908
0.473416	1.388742
0.474239	1.388576
0.475063	1.388411
0.475889	1.388246
0.476717	1.388082
0.477546	1.387919
0.478376	1.387756
0.479208	1.387594
0.480041	1.387432
0.480876	1.387271
0.481712	1.38711
0.482549	1.38695
0.483388	1.386791
0.484229	1.386632
0.485071	1.386473
0.485914	1.386315
0.486759	1.386158
0.487605	1.386001
0.488453	1.385845
0.489303	1.385689
0.490153	1.385534
0.491006	1.38538
0.491859	1.385226
0.492714	1.385072
0.493571	1.384919
0.494429	1.384767
0.495289	1.384615
0.49615	1.384463
0.497013	1.384312
0.497877	1.384162
0.498743	1.384012
0.49961	1.383863
0.500479	1.383714
0.501349	1.383566
0.50222	1.383418
0.503094	1.383271
0.503968	1.383124
0.504845	1.382978
0.505722	1.382832
0.506602	1.382687
0.507483	1.382542
0.508365	1.382398
0.509249	1.382254
0.510134	1.382111
0.511021	1.381968
0.51191	1.381826
0.5128	1.381685
0.513692	1.381543
0.514585	1.381403
0.515479	1.381262
0.516376	1.381123
0.517274	1.380983
0.518173	1.380844
0.519074	1.380706
0.519976	1.380568
0.52088	1.380431
0.521786	1.380294
0.522693	1.380158
0.523602	1.380022
0.524513	1.379886
0.525425	1.379751
0.526338	1.379617
0.527253	1.379483
0.52817	1.379349
0.529088	1.379216
0.530008	1.379083
0.53093	1.378951
0.531853	1.378819
0.532778	1.378688
0.533704	1.378557
0.534632	1.378427
0.535562	1.378297
0.536493	1.378167
0.537426	1.378038
0.53836	1.37791
0.539296	1.377782
0.540234	1.377654
0.541173	1.377527
0.542114	1.3774
0.543057	1.377273
0.544001	1.377147
0.544947	1.377022
0.545894	1.376897
0.546843	1.376772
0.547794	1.376648
0.548747	1.376524
0.549701	1.376401
0.550657	1.376278
0.551614	1.376156
0.552573	1.376034
0.553534	1.375912
0.554496	1.375791
0.55546	1.37567
0.556426	1.375549
0.557394	1.37543
0.558363	1.37531
0.559334	1.375191
0.560306	1.375072
0.56128	1.374954
0.562256	1.374836
0.563234	1.374718
0.564213	1.374601
0.565194	1.374485
0.566177	1.374368
0.567161	1.374253
0.568148	1.374137
0.569135	1.374022
0.570125	1.373907
0.571116	1.373793
0.572109	1.373679
0.573104	1.373566
0.5741	1.373453
0.575099	1.37334
0.576099	1.373228
0.5771	1.373116
0.578104	1.373004
0.579109	1.372893
0.580116	1.372783
0.581124	1.372672
0.582135	1.372562
0.583147	1.372453
0.584161	1.372343
0.585177	1.372235
0.586194	1.372126
0.587213	1.372018
0.588234	1.37191
0.589257	1.371803
0.590282	1.371696
0.591308	1.371589
0.592336	1.371483
0.593366	1.371377
0.594398	1.371272
0.595431	1.371167
0.596466	1.371062
0.597504	1.370958
0.598542	1.370854
0.599583	1.37075
0.600626	1.370647
0.60167	1.370544
0.602716	1.370441
0.603764	1.370339
0.604814	1.370237
0.605865	1.370135
0.606919	1.370034
0.607974	1.369933
0.609031	1.369833
0.61009	1.369733
0.611151	1.369633
0.612214	1.369534
0.613278	1.369434
0.614344	1.369336
0.615413	1.369237
0.616483	1.369139
0.617554	1.369042
0.618628	1.368944
0.619704	1.368847
0.620781	1.36875
0.621861	1.368654
0.622942	1.368558
0.624025	1.368462
0.62511	1.368367
0.626197	1.368272
0.627286	1.368177
0.628376	1.368083
0.629469	1.367989
0.630563	1.367895
0.63166	1.367802
0.632758	1.367708
0.633858	1.367616
0.63496	1.367523
0.636064	1.367431
0.63717	1.367339
0.638278	1.367248
0.639388	1.367157
0.6405	1.367066
0.641613	1.366975
0.642729	1.366885
0.643847	1.366795
0.644966	1.366706
0.646087	1.366616
0.647211	1.366527
0.648336	1.366439
0.649463	1.36635
0.650593	1.366262
0.651724	1.366175
0.652857	1.366087
0.653992	1.366
0.655129	1.365913
0.656268	1.365827
0.657409	1.36574
0.658552	1.365654
0.659697	1.365569
0.660844	1.365483
0.661993	1.365398
0.663145	1.365314
0.664298	1.365229
0.665453	1.365145
0.66661	1.365061
0.667769	1.364978
0.66893	1.364894
0.670093	1.364811
0.671258	1.364729
0.672425	1.364646
0.673594	1.364564
0.674765	1.364482
0.675939	1.364401
0.677114	1.364319
0.678291	1.364238
0.679471	1.364158
0.680652	1.364077
0.681835	1.363997
0.683021	1.363917
0.684209	1.363837
0.685398	1.363758
0.68659	1.363679
0.687784	1.3636
0.68898	1.363522
0.690177	1.363444
0.691378	1.363366
0.69258	1.363288
0.693784	1.36321
0.69499	1.363133
0.696199	1.363056
0.697409	1.36298
0.698622	1.362903
0.699836	1.362827
0.701053	1.362751
0.702272	1.362676
0.703493	1.362601
0.704716	1.362526
0.705942	1.362451
0.707169	1.362376
0.708399	1.362302
0.70963	1.362228
0.710864	1.362154
0.7121	1.362081
0.713338	1.362008
0.714579	1.361935
0.715821	1.361862
0.717066	1.361789
0.718312	1.361717
0.719561	1.361645
0.720813	1.361573
0.722066	1.361502
0.723321	1.361431
0.724579	1.36136
0.725839	1.361289
0.727101	1.361218
0.728365	1.361148
0.729631	1.361078
0.7309	1.361008
0.732171	1.360939
0.733444	1.36087
0.734719	1.360801
0.735997	1.360732
0.737276	1.360663
0.738558	1.360595
0.739842	1.360527
0.741129	1.360459
0.742417	1.360391
0.743708	1.360324
0.745001	1.360257
0.746297	1.36019
0.747594	1.360123
0.748894	1.360057
0.750196	1.359991
0.751501	1.359925
0.752807	1.359859
0.754116	1.359793
0.755427	1.359728
0.756741	1.359663
0.758057	1.359598
0.759375	1.359533
0.760695	1.359469
0.762018	1.359405
0.763343	1.359341
0.76467	1.359277
0.765999	1.359214
0.767331	1.35915
0.768665	1.359087
0.770002	1.359024
0.771341	1.358962
0.772682	1.358899
0.774025	1.358837
0.775371	1.358775
0.776719	1.358713
0.77807	1.358652
0.779423	1.35859
0.780778	1.358529
0.782135	1.358468
0.783495	1.358408
0.784858	1.358347
0.786222	1.358287
0.787589	1.358227
0.788959	1.358167
0.790331	1.358107
0.791705	1.358048
0.793081	1.357988
0.79446	1.357929
0.795842	1.357871
0.797225	1.357812
0.798611	1.357754
0.8	1.357695

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

C₂H₄O₂ (Acetic acid): all datasets

El-Kashef 2000: n 0.4–0.8 µm n 0.4–0.8 µm default

About C2H4O2 (Acetic acid)

Acetic Acid (C₂H₄O₂): A colorless liquid at room temperature, acetic acid is the primary component of vinegar, giving it its characteristic pungent smell and sour taste. It has a wide range of industrial and household applications, from synthetic fiber and plastic production to food preservatives. In its undiluted form, it's known as glacial acetic acid. Acetic acid exhibits strong hydrogen bonding properties, leading to its miscibility with water. In the realm of optics, it's sometimes used as a solvent or component in complex liquid mixtures. Chemical formula: CH₃COOH (AcOH)

More about C2H4O2 (Acetic acid) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/organic/C2H4O2 - acetic acid/nk/El-Kashef.yml
ID: ds_334e4bdb77f3
API: /v1/datasets/ds_334e4bdb77f3

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