Optical constants

Refractive index of C₁₁H₁₂O₂ (Ethyl cinnamate)

Krauter et al. 2015: n 0.45–0.70 µm

Data: formula 5
Range: 0.45–0.7 µm
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.55815
Extinction coefficient k: 0

Permittivity ε₁: 2.42783
Permittivity ε₂: 0

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

Abbe number V_d: 19.444
Chromatic dispersion dn/dλ: -0.139483 µm⁻¹

Group index n_g: 1.64011
Group velocity dispersion: 336.848 fs²/mm

Dispersion parameter D: -1837.68 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

# C11H12O2 (Ethyl cinnamate): Krauter et al. 2015: n 0.45–0.70 µm
c11h12o2 = ls.fetch_refractiveindex("organic", "ethyl_cinnamate", "Krauter", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c11h12o2.range_nm)  # (450, 700) nm
eps = c11h12o2.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_7014b81c5f57/lightsmith"
c11h12o2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c11h12o2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (ethyl-cinnamate/krauter-2015).

# ... load c11h12o2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c11h12o2)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=450, stop_nm=700, 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 = 1.5269 + 0.00743 λ^{- 2.0} + 0.00116 λ^{- 4.0}

Valid from 0.45 to 0.7 µm.

Coefficients as stored

C_i	Value
C1	1.5269
C2	0.00743
C3	-2.0
C4	0.00116
C5	-4.0

Comments and conditions

Room temperature

References

P. Krauter, S. Nothelfer, N. Bodenschatz, E. Simon, S. Stocker, F. Foschum, A. Kienle. Optical phantoms with adjustable subdiffusive scattering parameters. J. Biomed. Opt. 20, 105008 (2015)

doi:10.1117/1.jbo.20.10.105008 Optical phantoms with adjustable subdiffusive scattering parameters, Journal of Biomedical Optics (2015)

Cite

Philipp Krauter et al.. Optical phantoms with adjustable subdiffusive scattering parameters. Journal of Biomedical Optics, 20, 1-10 (2015), doi:10.1117/1.jbo.20.10.105008; 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

C11H12O2 (Ethyl cinnamate), Krauter et al. 2015: n 0.45–0.70 µm: n and k versus wavelength
λ (µm)	n
0.45	1.59188
0.450499	1.591674
0.450998	1.591468
0.451497	1.591263
0.451998	1.591059
0.452498	1.590856
0.453	1.590653
0.453502	1.590452
0.454004	1.590251
0.454507	1.59005
0.455011	1.58985
0.455515	1.589651
0.45602	1.589453
0.456525	1.589256
0.457031	1.589059
0.457537	1.588862
0.458044	1.588667
0.458551	1.588472
0.45906	1.588278
0.459568	1.588085
0.460077	1.587892
0.460587	1.5877
0.461097	1.587508
0.461608	1.587318
0.46212	1.587128
0.462632	1.586938
0.463144	1.586749
0.463657	1.586561
0.464171	1.586374
0.464685	1.586187
0.4652	1.586001
0.465716	1.585816
0.466232	1.585631
0.466748	1.585447
0.467265	1.585263
0.467783	1.585081
0.468301	1.584898
0.46882	1.584717
0.46934	1.584536
0.46986	1.584356
0.47038	1.584176
0.470902	1.583997
0.471423	1.583819
0.471946	1.583641
0.472468	1.583464
0.472992	1.583287
0.473516	1.583111
0.474041	1.582936
0.474566	1.582761
0.475092	1.582587
0.475618	1.582414
0.476145	1.582241
0.476673	1.582069
0.477201	1.581897
0.477729	1.581726
0.478259	1.581556
0.478789	1.581386
0.479319	1.581216
0.47985	1.581048
0.480382	1.58088
0.480914	1.580712
0.481447	1.580545
0.48198	1.580379
0.482514	1.580213
0.483049	1.580048
0.483584	1.579883
0.48412	1.579719
0.484656	1.579556
0.485193	1.579393
0.485731	1.579231
0.486269	1.579069
0.486808	1.578908
0.487347	1.578747
0.487887	1.578587
0.488428	1.578427
0.488969	1.578268
0.489511	1.57811
0.490053	1.577952
0.490596	1.577795
0.49114	1.577638
0.491684	1.577482
0.492228	1.577326
0.492774	1.577171
0.49332	1.577016
0.493866	1.576862
0.494414	1.576709
0.494961	1.576556
0.49551	1.576403
0.496059	1.576251
0.496608	1.5761
0.497159	1.575949
0.497709	1.575798
0.498261	1.575648
0.498813	1.575499
0.499366	1.57535
0.499919	1.575202
0.500473	1.575054
0.501027	1.574907
0.501582	1.57476
0.502138	1.574613
0.502694	1.574468
0.503251	1.574322
0.503809	1.574177
0.504367	1.574033
0.504926	1.573889
0.505486	1.573746
0.506046	1.573603
0.506606	1.573461
0.507168	1.573319
0.507729	1.573177
0.508292	1.573036
0.508855	1.572896
0.509419	1.572756
0.509983	1.572617
0.510548	1.572478
0.511114	1.572339
0.51168	1.572201
0.512247	1.572063
0.512815	1.571926
0.513383	1.57179
0.513952	1.571654
0.514521	1.571518
0.515091	1.571383
0.515662	1.571248
0.516233	1.571114
0.516805	1.57098
0.517378	1.570846
0.517951	1.570713
0.518525	1.570581
0.5191	1.570449
0.519675	1.570317
0.520251	1.570186
0.520827	1.570055
0.521404	1.569925
0.521982	1.569795
0.52256	1.569666
0.523139	1.569537
0.523719	1.569408
0.524299	1.56928
0.52488	1.569153
0.525461	1.569025
0.526044	1.568899
0.526626	1.568772
0.52721	1.568646
0.527794	1.568521
0.528379	1.568396
0.528964	1.568271
0.52955	1.568147
0.530137	1.568023
0.530724	1.5679
0.531312	1.567777
0.531901	1.567654
0.53249	1.567532
0.53308	1.56741
0.533671	1.567289
0.534262	1.567168
0.534854	1.567048
0.535447	1.566927
0.53604	1.566808
0.536634	1.566688
0.537229	1.56657
0.537824	1.566451
0.53842	1.566333
0.539016	1.566215
0.539613	1.566098
0.540211	1.565981
0.54081	1.565864
0.541409	1.565748
0.542009	1.565633
0.542609	1.565517
0.543211	1.565402
0.543812	1.565288
0.544415	1.565173
0.545018	1.56506
0.545622	1.564946
0.546227	1.564833
0.546832	1.56472
0.547438	1.564608
0.548044	1.564496
0.548651	1.564385
0.549259	1.564274
0.549868	1.564163
0.550477	1.564052
0.551087	1.563942
0.551698	1.563832
0.552309	1.563723
0.552921	1.563614
0.553533	1.563506
0.554147	1.563397
0.554761	1.563289
0.555375	1.563182
0.555991	1.563075
0.556607	1.562968
0.557223	1.562861
0.557841	1.562755
0.558459	1.56265
0.559078	1.562544
0.559697	1.562439
0.560317	1.562334
0.560938	1.56223
0.561559	1.562126
0.562182	1.562022
0.562805	1.561919
0.563428	1.561816
0.564052	1.561713
0.564677	1.561611
0.565303	1.561509
0.565929	1.561407
0.566556	1.561306
0.567184	1.561205
0.567812	1.561104
0.568442	1.561004
0.569071	1.560904
0.569702	1.560805
0.570333	1.560705
0.570965	1.560606
0.571598	1.560508
0.572231	1.560409
0.572865	1.560311
0.5735	1.560214
0.574135	1.560116
0.574771	1.560019
0.575408	1.559922
0.576046	1.559826
0.576684	1.55973
0.577323	1.559634
0.577962	1.559539
0.578603	1.559444
0.579244	1.559349
0.579886	1.559254
0.580528	1.55916
0.581171	1.559066
0.581815	1.558972
0.58246	1.558879
0.583105	1.558786
0.583751	1.558693
0.584398	1.558601
0.585045	1.558509
0.585694	1.558417
0.586343	1.558326
0.586992	1.558235
0.587643	1.558144
0.588294	1.558053
0.588946	1.557963
0.589598	1.557873
0.590251	1.557783
0.590905	1.557694
0.59156	1.557604
0.592215	1.557516
0.592872	1.557427
0.593528	1.557339
0.594186	1.557251
0.594844	1.557163
0.595503	1.557076
0.596163	1.556989
0.596824	1.556902
0.597485	1.556815
0.598147	1.556729
0.59881	1.556643
0.599473	1.556557
0.600137	1.556472
0.600802	1.556387
0.601468	1.556302
0.602134	1.556217
0.602802	1.556133
0.603469	1.556049
0.604138	1.555965
0.604807	1.555881
0.605478	1.555798
0.606148	1.555715
0.60682	1.555633
0.607492	1.55555
0.608165	1.555468
0.608839	1.555386
0.609514	1.555304
0.610189	1.555223
0.610865	1.555142
0.611542	1.555061
0.61222	1.55498
0.612898	1.5549
0.613577	1.55482
0.614257	1.55474
0.614937	1.554661
0.615619	1.554581
0.616301	1.554502
0.616984	1.554423
0.617667	1.554345
0.618352	1.554266
0.619037	1.554188
0.619723	1.554111
0.620409	1.554033
0.621097	1.553956
0.621785	1.553879
0.622474	1.553802
0.623163	1.553725
0.623854	1.553649
0.624545	1.553573
0.625237	1.553497
0.62593	1.553421
0.626623	1.553346
0.627317	1.553271
0.628012	1.553196
0.628708	1.553121
0.629405	1.553047
0.630102	1.552973
0.6308	1.552899
0.631499	1.552825
0.632199	1.552752
0.632899	1.552679
0.633601	1.552606
0.634303	1.552533
0.635005	1.55246
0.635709	1.552388
0.636413	1.552316
0.637118	1.552244
0.637824	1.552173
0.638531	1.552101
0.639238	1.55203
0.639947	1.551959
0.640656	1.551888
0.641366	1.551818
0.642076	1.551748
0.642788	1.551678
0.6435	1.551608
0.644213	1.551538
0.644927	1.551469
0.645641	1.5514
0.646356	1.551331
0.647073	1.551262
0.64779	1.551194
0.648507	1.551125
0.649226	1.551057
0.649945	1.550989
0.650665	1.550922
0.651386	1.550854
0.652108	1.550787
0.65283	1.55072
0.653554	1.550653
0.654278	1.550587
0.655003	1.55052
0.655728	1.550454
0.656455	1.550388
0.657182	1.550322
0.65791	1.550257
0.658639	1.550192
0.659369	1.550126
0.6601	1.550061
0.660831	1.549997
0.661563	1.549932
0.662296	1.549868
0.66303	1.549804
0.663765	1.54974
0.6645	1.549676
0.665236	1.549613
0.665973	1.549549
0.666711	1.549486
0.66745	1.549423
0.668189	1.549361
0.66893	1.549298
0.669671	1.549236
0.670413	1.549174
0.671156	1.549112
0.671899	1.54905
0.672644	1.548988
0.673389	1.548927
0.674135	1.548866
0.674882	1.548805
0.67563	1.548744
0.676378	1.548683
0.677128	1.548623
0.677878	1.548563
0.678629	1.548503
0.679381	1.548443
0.680134	1.548383
0.680887	1.548324
0.681642	1.548264
0.682397	1.548205
0.683153	1.548146
0.68391	1.548087
0.684668	1.548029
0.685426	1.54797
0.686186	1.547912
0.686946	1.547854
0.687707	1.547796
0.688469	1.547739
0.689232	1.547681
0.689995	1.547624
0.69076	1.547567
0.691525	1.54751
0.692291	1.547453
0.693058	1.547396
0.693826	1.54734
0.694595	1.547284
0.695365	1.547228
0.696135	1.547172
0.696906	1.547116
0.697678	1.54706
0.698451	1.547005
0.699225	1.54695
0.7	1.546895

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: —

C₁₁H₁₂O₂ (Ethyl cinnamate): all datasets

Krauter et al. 2015: n 0.45–0.70 µm n 0.45–0.7 µm default

About C11H12O2 (Ethyl cinnamate)

Ethyl cinnamate (C₁₁H₁₂O₂) is a pale yellow to colorless liquid that possesses a characteristic, pleasant aroma similar to cinnamon. It is commonly used in the fragrance industry due to its attractive scent. Additionally, it finds application as a flavoring agent in certain food products, imparting a spicy, cinnamon-like taste. In the realm of organic synthesis, ethyl cinnamate can serve as a precursor for various chemicals. Its pleasing scent and flavoring properties have also led to its use in some cosmetic products. Chemical formula: 2-(HO)C₆H₄CO₂C₂H₅

More about C11H12O2 (Ethyl cinnamate) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/organic/C11H12O2 - ethyl cinnamate/nk/Krauter.yml
ID: ds_7014b81c5f57
API: /v1/datasets/ds_7014b81c5f57

Plot