Optical constants

Refractive index of C₅H₁₀O₂ (Valeric acid)

Rubio et al. 2015: n 0.400–0.590 µm

Data: formula 5
Range: 0.4–0.59 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: 1.40841
Extinction coefficient k: 0

Permittivity ε₁: 1.98361
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.0370244 µm⁻¹

Group index n_g: 1.43016
Group velocity dispersion: 67.9129 fs²/mm

Dispersion parameter D: -370.501 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

# C5H10O2 (Valeric acid): Rubio et al. 2015: n 0.400–0.590 µm
c5h10o2 = ls.fetch_refractiveindex("organic", "valeric_acid", "Rubio", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c5h10o2.range_nm)  # (400, 590) nm
eps = c5h10o2.eps([486])  # 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_690c43138e89/lightsmith"
c5h10o2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c5h10o2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (valeric-acid/rubio-2015).

# ... load c5h10o2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c5h10o2)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=590, 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 = 1.39753 + 0.00375581 λ^{- 2.0}

Valid from 0.4 to 0.59 µm.

Coefficients as stored

C_i	Value
C1	1.39753
C2	0.00375581
C3	-2.0

Comments and conditions

20 °C (293 K). For the temperature-dependent formula, refer to the original publication.

Conditions

temperature: 293 K

References

J. E. F. Rubio, J. M. Arsuaga, M. Taravillo, M. Cáceres. Refractive index temperature and wavelength dependencies of normal saturated fatty acids in liquid state. Exp. Therm. Fluid Sci. 29, 681-684 (2015)

doi:10.1016/j.expthermflusci.2004.11.002 Refractive index temperature and wavelength dependencies of normal saturated fatty acids in liquid state, Experimental Thermal and Fluid Science (2005)

Cite

José E.F. Rubio, Jesús M. Arsuaga, Mercedes Taravillo and Mercedes Cáceres. Refractive index temperature and wavelength dependencies of normal saturated fatty acids in liquid state. Experimental Thermal and Fluid Science, 29, 681-684 (2005), doi:10.1016/j.expthermflusci.2004.11.002; 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

C5H10O2 (Valeric acid), Rubio et al. 2015: n 0.400–0.590 µm: n and k versus wavelength
λ (µm)	n
0.4	1.421004
0.40039	1.420958
0.40078	1.420913
0.401171	1.420867
0.401562	1.420822
0.401953	1.420776
0.402345	1.420731
0.402737	1.420686
0.403129	1.420641
0.403522	1.420596
0.403915	1.420551
0.404309	1.420506
0.404703	1.420461
0.405097	1.420417
0.405492	1.420372
0.405887	1.420328
0.406283	1.420283
0.406679	1.420239
0.407075	1.420195
0.407472	1.420151
0.407869	1.420107
0.408267	1.420063
0.408664	1.420019
0.409063	1.419975
0.409461	1.419932
0.40986	1.419888
0.41026	1.419844
0.41066	1.419801
0.41106	1.419758
0.41146	1.419714
0.411861	1.419671
0.412263	1.419628
0.412665	1.419585
0.413067	1.419542
0.413469	1.419499
0.413872	1.419457
0.414276	1.419414
0.414679	1.419371
0.415083	1.419329
0.415488	1.419286
0.415893	1.419244
0.416298	1.419202
0.416704	1.41916
0.41711	1.419118
0.417517	1.419075
0.417923	1.419034
0.418331	1.418992
0.418738	1.41895
0.419146	1.418908
0.419555	1.418867
0.419964	1.418825
0.420373	1.418784
0.420783	1.418742
0.421193	1.418701
0.421603	1.41866
0.422014	1.418619
0.422425	1.418578
0.422837	1.418537
0.423249	1.418496
0.423662	1.418455
0.424075	1.418414
0.424488	1.418374
0.424902	1.418333
0.425316	1.418293
0.42573	1.418252
0.426145	1.418212
0.42656	1.418172
0.426976	1.418131
0.427392	1.418091
0.427809	1.418051
0.428226	1.418011
0.428643	1.417971
0.429061	1.417932
0.429479	1.417892
0.429897	1.417852
0.430316	1.417813
0.430736	1.417773
0.431155	1.417734
0.431576	1.417695
0.431996	1.417655
0.432417	1.417616
0.432839	1.417577
0.43326	1.417538
0.433683	1.417499
0.434105	1.41746
0.434528	1.417421
0.434952	1.417383
0.435376	1.417344
0.4358	1.417306
0.436225	1.417267
0.43665	1.417229
0.437075	1.41719
0.437501	1.417152
0.437928	1.417114
0.438355	1.417076
0.438782	1.417038
0.439209	1.417
0.439637	1.416962
0.440066	1.416924
0.440495	1.416886
0.440924	1.416849
0.441354	1.416811
0.441784	1.416773
0.442214	1.416736
0.442645	1.416699
0.443077	1.416661
0.443509	1.416624
0.443941	1.416587
0.444373	1.41655
0.444806	1.416513
0.44524	1.416476
0.445674	1.416439
0.446108	1.416402
0.446543	1.416365
0.446978	1.416329
0.447414	1.416292
0.44785	1.416256
0.448286	1.416219
0.448723	1.416183
0.44916	1.416147
0.449598	1.41611
0.450036	1.416074
0.450475	1.416038
0.450914	1.416002
0.451353	1.415966
0.451793	1.41593
0.452234	1.415894
0.452674	1.415859
0.453115	1.415823
0.453557	1.415787
0.453999	1.415752
0.454441	1.415716
0.454884	1.415681
0.455328	1.415646
0.455771	1.41561
0.456216	1.415575
0.45666	1.41554
0.457105	1.415505
0.457551	1.41547
0.457997	1.415435
0.458443	1.4154
0.45889	1.415366
0.459337	1.415331
0.459785	1.415296
0.460233	1.415262
0.460681	1.415227
0.46113	1.415193
0.46158	1.415158
0.462029	1.415124
0.46248	1.41509
0.46293	1.415056
0.463381	1.415021
0.463833	1.414987
0.464285	1.414953
0.464738	1.41492
0.46519	1.414886
0.465644	1.414852
0.466098	1.414818
0.466552	1.414785
0.467007	1.414751
0.467462	1.414717
0.467917	1.414684
0.468373	1.414651
0.46883	1.414617
0.469287	1.414584
0.469744	1.414551
0.470202	1.414518
0.47066	1.414485
0.471119	1.414452
0.471578	1.414419
0.472037	1.414386
0.472497	1.414353
0.472958	1.41432
0.473419	1.414288
0.47388	1.414255
0.474342	1.414222
0.474804	1.41419
0.475267	1.414158
0.47573	1.414125
0.476194	1.414093
0.476658	1.414061
0.477122	1.414028
0.477587	1.413996
0.478053	1.413964
0.478519	1.413932
0.478985	1.4139
0.479452	1.413869
0.479919	1.413837
0.480387	1.413805
0.480855	1.413773
0.481324	1.413742
0.481793	1.41371
0.482262	1.413679
0.482732	1.413647
0.483203	1.413616
0.483674	1.413585
0.484145	1.413553
0.484617	1.413522
0.485089	1.413491
0.485562	1.41346
0.486035	1.413429
0.486509	1.413398
0.486983	1.413367
0.487457	1.413336
0.487932	1.413306
0.488408	1.413275
0.488884	1.413244
0.48936	1.413214
0.489837	1.413183
0.490315	1.413153
0.490792	1.413122
0.491271	1.413092
0.49175	1.413062
0.492229	1.413031
0.492708	1.413001
0.493189	1.412971
0.493669	1.412941
0.49415	1.412911
0.494632	1.412881
0.495114	1.412851
0.495597	1.412821
0.49608	1.412792
0.496563	1.412762
0.497047	1.412732
0.497531	1.412703
0.498016	1.412673
0.498502	1.412644
0.498987	1.412614
0.499474	1.412585
0.49996	1.412556
0.500448	1.412526
0.500935	1.412497
0.501424	1.412468
0.501912	1.412439
0.502401	1.41241
0.502891	1.412381
0.503381	1.412352
0.503872	1.412323
0.504363	1.412294
0.504854	1.412266
0.505346	1.412237
0.505839	1.412208
0.506332	1.41218
0.506825	1.412151
0.507319	1.412123
0.507813	1.412094
0.508308	1.412066
0.508804	1.412038
0.5093	1.41201
0.509796	1.411981
0.510293	1.411953
0.51079	1.411925
0.511288	1.411897
0.511786	1.411869
0.512285	1.411841
0.512784	1.411813
0.513284	1.411786
0.513784	1.411758
0.514285	1.41173
0.514786	1.411703
0.515288	1.411675
0.51579	1.411648
0.516293	1.41162
0.516796	1.411593
0.517299	1.411565
0.517803	1.411538
0.518308	1.411511
0.518813	1.411483
0.519319	1.411456
0.519825	1.411429
0.520332	1.411402
0.520839	1.411375
0.521346	1.411348
0.521854	1.411321
0.522363	1.411294
0.522872	1.411268
0.523382	1.411241
0.523892	1.411214
0.524402	1.411188
0.524913	1.411161
0.525425	1.411134
0.525937	1.411108
0.526449	1.411082
0.526962	1.411055
0.527476	1.411029
0.52799	1.411003
0.528505	1.410976
0.52902	1.41095
0.529535	1.410924
0.530051	1.410898
0.530568	1.410872
0.531085	1.410846
0.531602	1.41082
0.532121	1.410794
0.532639	1.410768
0.533158	1.410743
0.533678	1.410717
0.534198	1.410691
0.534718	1.410666
0.53524	1.41064
0.535761	1.410615
0.536283	1.410589
0.536806	1.410564
0.537329	1.410538
0.537853	1.410513
0.538377	1.410488
0.538902	1.410463
0.539427	1.410437
0.539953	1.410412
0.540479	1.410387
0.541005	1.410362
0.541533	1.410337
0.54206	1.410312
0.542589	1.410287
0.543118	1.410263
0.543647	1.410238
0.544177	1.410213
0.544707	1.410188
0.545238	1.410164
0.545769	1.410139
0.546301	1.410115
0.546833	1.41009
0.547366	1.410066
0.5479	1.410041
0.548434	1.410017
0.548968	1.409993
0.549503	1.409968
0.550039	1.409944
0.550575	1.40992
0.551111	1.409896
0.551648	1.409872
0.552186	1.409848
0.552724	1.409824
0.553263	1.4098
0.553802	1.409776
0.554342	1.409752
0.554882	1.409728
0.555423	1.409705
0.555964	1.409681
0.556506	1.409657
0.557048	1.409634
0.557591	1.40961
0.558134	1.409587
0.558678	1.409563
0.559223	1.40954
0.559768	1.409516
0.560313	1.409493
0.560859	1.40947
0.561406	1.409447
0.561953	1.409423
0.562501	1.4094
0.563049	1.409377
0.563598	1.409354
0.564147	1.409331
0.564697	1.409308
0.565247	1.409285
0.565798	1.409262
0.566349	1.409239
0.566901	1.409217
0.567454	1.409194
0.568007	1.409171
0.56856	1.409149
0.569114	1.409126
0.569669	1.409103
0.570224	1.409081
0.57078	1.409058
0.571336	1.409036
0.571893	1.409013
0.57245	1.408991
0.573008	1.408969
0.573567	1.408947
0.574126	1.408924
0.574685	1.408902
0.575245	1.40888
0.575806	1.408858
0.576367	1.408836
0.576929	1.408814
0.577491	1.408792
0.578054	1.40877
0.578617	1.408748
0.579181	1.408726
0.579745	1.408705
0.58031	1.408683
0.580876	1.408661
0.581442	1.408639
0.582009	1.408618
0.582576	1.408596
0.583144	1.408575
0.583712	1.408553
0.584281	1.408532
0.58485	1.40851
0.58542	1.408489
0.585991	1.408468
0.586562	1.408446
0.587133	1.408425
0.587706	1.408404
0.588278	1.408383
0.588852	1.408362
0.589426	1.40834
0.59	1.408319

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: —

C₅H₁₀O₂ (Valeric acid): all datasets

Rubio et al. 2015: n 0.400–0.590 µm n 0.4–0.59 µm default

About C5H10O2 (Valeric acid)

Valeric acid is a saturated aliphatic carboxylic acid with a five-carbon chain. It is a colorless liquid with a pungent, unpleasant odor similar to that of old cheese or sweaty socks. Naturally occurring in the root of the Valerian plant (Valeriana officinalis), valeric acid is used in the synthesis of esters for perfumes and flavorings due to its strong aroma. In industrial applications, it serves as a chemical intermediate in the production of lubricants, plasticizers, and pharmaceuticals. Chemical formula: CH₃(CH₂)₃COOH

More about C5H10O2 (Valeric acid) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/organic/C5H10O2 - valeric acid/nk/Rubio.yml
ID: ds_690c43138e89
API: /v1/datasets/ds_690c43138e89

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