Optical constants

Refractive index of C₉H₈O (Cinnamaldehyde)

Rheims et al. 1997: n 0.589–1.05 µm

Data: formula 5
Range: 0.5893–1.05 µm
Temperature: 297 K
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.59686
Extinction coefficient k: 0

Permittivity ε₁: 2.54996
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.0736185 µm⁻¹

Group index n_g: 1.6548
Group velocity dispersion: 266.648 fs²/mm

Dispersion parameter D: -810.941 ps/(nm·km)
Photon energy: 1.5754 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

# C9H8O (Cinnamaldehyde): Rheims et al. 1997: n 0.589–1.05 µm
c9h8o = ls.fetch_refractiveindex("organic", "cinnamaldehyde", "Rheims", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c9h8o.range_nm)  # (589.3, 1050) nm
eps = c9h8o.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_3cce56c6c9ea/lightsmith"
c9h8o = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c9h8o.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (cinnamaldehyde/rheims-1997).

# ... load c9h8o as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c9h8o)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=590, stop_nm=1000, 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 = 1.57008 + 0.01523 λ^{- 2.0} + 0.00084 λ^{- 4.0}

Valid from 0.5893 to 1.05 µm.

Coefficients as stored

C_i	Value
C1	1.57008
C2	0.01523
C3	-2.0
C4	0.00084
C5	-4.0

Comments and conditions

24 °C.

Conditions

temperature: 297 K

References

J. Rheims, J Köser, T Wriedt. Refractive-index measurements in the near-IR using an Abbe refractometer. Meas. Sci. Technol. 8, 601-605 (1997)

doi:10.1088/0957-0233/8/6/003 Refractive-index measurements in the near-IR using an Abbe refractometer, Measurement Science and Technology (1997)

Cite

J Rheims, J Köser and T Wriedt. Refractive-index measurements in the near-IR using an Abbe refractometer. Measurement Science and Technology, 8, 601-605 (1997), doi:10.1088/0957-0233/8/6/003; 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

C9H8O (Cinnamaldehyde), Rheims et al. 1997: n 0.589–1.05 µm: n and k versus wavelength
λ (µm)	n
0.5893	1.620901
0.590154	1.620734
0.591009	1.620568
0.591865	1.620402
0.592722	1.620237
0.593581	1.620072
0.594441	1.619908
0.595302	1.619744
0.596164	1.619582
0.597028	1.619419
0.597893	1.619258
0.598759	1.619096
0.599627	1.618936
0.600495	1.618776
0.601365	1.618617
0.602236	1.618458
0.603109	1.618299
0.603983	1.618142
0.604858	1.617985
0.605734	1.617828
0.606611	1.617672
0.60749	1.617516
0.60837	1.617362
0.609252	1.617207
0.610134	1.617053
0.611018	1.6169
0.611903	1.616747
0.61279	1.616595
0.613677	1.616443
0.614566	1.616292
0.615457	1.616142
0.616348	1.615992
0.617241	1.615842
0.618135	1.615693
0.619031	1.615545
0.619928	1.615397
0.620826	1.615249
0.621725	1.615103
0.622626	1.614956
0.623528	1.61481
0.624431	1.614665
0.625336	1.61452
0.626242	1.614376
0.627149	1.614232
0.628058	1.614089
0.628967	1.613946
0.629879	1.613804
0.630791	1.613662
0.631705	1.613521
0.63262	1.61338
0.633536	1.613239
0.634454	1.6131
0.635373	1.61296
0.636294	1.612821
0.637216	1.612683
0.638139	1.612545
0.639063	1.612408
0.639989	1.612271
0.640916	1.612135
0.641845	1.611999
0.642775	1.611863
0.643706	1.611728
0.644638	1.611594
0.645572	1.61146
0.646507	1.611326
0.647444	1.611193
0.648382	1.61106
0.649321	1.610928
0.650262	1.610796
0.651204	1.610665
0.652147	1.610534
0.653092	1.610404
0.654038	1.610274
0.654986	1.610145
0.655935	1.610016
0.656885	1.609887
0.657836	1.609759
0.658789	1.609631
0.659744	1.609504
0.6607	1.609377
0.661657	1.609251
0.662615	1.609125
0.663575	1.609
0.664537	1.608875
0.665499	1.60875
0.666463	1.608626
0.667429	1.608502
0.668396	1.608379
0.669364	1.608256
0.670334	1.608134
0.671305	1.608012
0.672277	1.60789
0.673251	1.607769
0.674227	1.607648
0.675203	1.607528
0.676182	1.607408
0.677161	1.607289
0.678142	1.607169
0.679125	1.607051
0.680108	1.606933
0.681094	1.606815
0.68208	1.606697
0.683068	1.60658
0.684058	1.606463
0.685049	1.606347
0.686041	1.606231
0.687035	1.606116
0.688031	1.606001
0.689027	1.605886
0.690026	1.605772
0.691025	1.605658
0.692026	1.605545
0.693029	1.605432
0.694033	1.605319
0.695038	1.605207
0.696045	1.605095
0.697053	1.604983
0.698063	1.604872
0.699075	1.604761
0.700087	1.604651
0.701102	1.604541
0.702117	1.604431
0.703134	1.604322
0.704153	1.604213
0.705173	1.604104
0.706195	1.603996
0.707218	1.603888
0.708242	1.603781
0.709268	1.603674
0.710296	1.603567
0.711325	1.603461
0.712355	1.603355
0.713387	1.603249
0.714421	1.603144
0.715456	1.603039
0.716492	1.602935
0.71753	1.60283
0.71857	1.602727
0.719611	1.602623
0.720653	1.60252
0.721697	1.602417
0.722743	1.602315
0.72379	1.602213
0.724838	1.602111
0.725888	1.60201
0.72694	1.601909
0.727993	1.601808
0.729048	1.601708
0.730104	1.601608
0.731162	1.601508
0.732221	1.601409
0.733282	1.60131
0.734344	1.601211
0.735408	1.601113
0.736473	1.601015
0.73754	1.600917
0.738608	1.60082
0.739678	1.600723
0.74075	1.600626
0.741823	1.60053
0.742898	1.600434
0.743974	1.600338
0.745052	1.600242
0.746131	1.600147
0.747212	1.600053
0.748295	1.599958
0.749379	1.599864
0.750464	1.59977
0.751551	1.599677
0.75264	1.599584
0.753731	1.599491
0.754822	1.599398
0.755916	1.599306
0.757011	1.599214
0.758108	1.599123
0.759206	1.599031
0.760306	1.59894
0.761407	1.59885
0.76251	1.598759
0.763615	1.598669
0.764721	1.598579
0.765829	1.59849
0.766939	1.598401
0.76805	1.598312
0.769162	1.598223
0.770277	1.598135
0.771392	1.598047
0.77251	1.597959
0.773629	1.597872
0.77475	1.597785
0.775872	1.597698
0.776996	1.597611
0.778122	1.597525
0.779249	1.597439
0.780378	1.597354
0.781508	1.597268
0.782641	1.597183
0.783774	1.597098
0.78491	1.597014
0.786047	1.59693
0.787186	1.596846
0.788326	1.596762
0.789468	1.596678
0.790612	1.596595
0.791757	1.596512
0.792904	1.59643
0.794053	1.596348
0.795203	1.596266
0.796355	1.596184
0.797509	1.596102
0.798664	1.596021
0.799821	1.59594
0.80098	1.595859
0.80214	1.595779
0.803302	1.595699
0.804466	1.595619
0.805632	1.595539
0.806799	1.59546
0.807968	1.595381
0.809138	1.595302
0.81031	1.595224
0.811484	1.595145
0.81266	1.595067
0.813837	1.594989
0.815016	1.594912
0.816197	1.594835
0.817379	1.594758
0.818563	1.594681
0.819749	1.594604
0.820937	1.594528
0.822126	1.594452
0.823317	1.594376
0.82451	1.594301
0.825704	1.594225
0.8269	1.59415
0.828098	1.594076
0.829298	1.594001
0.830499	1.593927
0.831702	1.593853
0.832907	1.593779
0.834114	1.593705
0.835322	1.593632
0.836532	1.593559
0.837744	1.593486
0.838958	1.593414
0.840173	1.593341
0.84139	1.593269
0.842609	1.593197
0.84383	1.593126
0.845053	1.593054
0.846277	1.592983
0.847503	1.592912
0.848731	1.592842
0.84996	1.592771
0.851191	1.592701
0.852425	1.592631
0.853659	1.592561
0.854896	1.592491
0.856135	1.592422
0.857375	1.592353
0.858617	1.592284
0.859861	1.592215
0.861106	1.592147
0.862354	1.592079
0.863603	1.592011
0.864854	1.591943
0.866107	1.591876
0.867362	1.591808
0.868619	1.591741
0.869877	1.591674
0.871137	1.591608
0.872399	1.591541
0.873663	1.591475
0.874929	1.591409
0.876196	1.591343
0.877465	1.591278
0.878737	1.591212
0.88001	1.591147
0.881284	1.591082
0.882561	1.591017
0.88384	1.590953
0.88512	1.590889
0.886402	1.590824
0.887687	1.590761
0.888973	1.590697
0.89026	1.590633
0.89155	1.59057
0.892842	1.590507
0.894135	1.590444
0.89543	1.590381
0.896728	1.590319
0.898027	1.590257
0.899328	1.590195
0.900631	1.590133
0.901935	1.590071
0.903242	1.59001
0.90455	1.589948
0.905861	1.589887
0.907173	1.589827
0.908487	1.589766
0.909804	1.589705
0.911122	1.589645
0.912441	1.589585
0.913763	1.589525
0.915087	1.589466
0.916413	1.589406
0.91774	1.589347
0.91907	1.589288
0.920401	1.589229
0.921735	1.58917
0.92307	1.589111
0.924407	1.589053
0.925746	1.588995
0.927088	1.588937
0.928431	1.588879
0.929776	1.588821
0.931123	1.588764
0.932472	1.588707
0.933822	1.58865
0.935175	1.588593
0.93653	1.588536
0.937887	1.58848
0.939245	1.588423
0.940606	1.588367
0.941969	1.588311
0.943333	1.588255
0.9447	1.5882
0.946069	1.588144
0.947439	1.588089
0.948812	1.588034
0.950186	1.587979
0.951563	1.587925
0.952941	1.58787
0.954322	1.587816
0.955704	1.587761
0.957089	1.587707
0.958475	1.587654
0.959864	1.5876
0.961254	1.587546
0.962647	1.587493
0.964042	1.58744
0.965438	1.587387
0.966837	1.587334
0.968237	1.587281
0.96964	1.587229
0.971045	1.587177
0.972452	1.587124
0.97386	1.587072
0.975271	1.587021
0.976684	1.586969
0.978099	1.586917
0.979516	1.586866
0.980935	1.586815
0.982356	1.586764
0.983779	1.586713
0.985204	1.586662
0.986632	1.586612
0.988061	1.586562
0.989492	1.586511
0.990926	1.586461
0.992361	1.586412
0.993799	1.586362
0.995239	1.586312
0.99668	1.586263
0.998124	1.586214
0.99957	1.586165
1.00102	1.586116
1.00247	1.586067
1.00392	1.586018
1.00538	1.58597
1.00683	1.585921
1.00829	1.585873
1.00975	1.585825
1.01121	1.585777
1.01268	1.58573
1.01415	1.585682
1.01562	1.585635
1.01709	1.585588
1.01856	1.58554
1.02004	1.585494
1.02151	1.585447
1.02299	1.5854
1.02447	1.585354
1.02596	1.585307
1.02745	1.585261
1.02893	1.585215
1.03042	1.585169
1.03192	1.585123
1.03341	1.585078
1.03491	1.585032
1.03641	1.584987
1.03791	1.584942
1.03941	1.584897
1.04092	1.584852
1.04243	1.584807
1.04394	1.584762
1.04545	1.584718
1.04696	1.584673
1.04848	1.584629
1.05	1.584585

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: —

C₉H₈O (Cinnamaldehyde): all datasets

Rheims et al. 1997: n 0.589–1.05 µm n 0.5893–1.05 µm default

About C9H8O (Cinnamaldehyde)

Cinnamaldehyde (C₉H₈O) is the organic compound responsible for the characteristic flavor and aroma of cinnamon. It is a pale yellow, viscous liquid that is slightly soluble in water but highly soluble in organic solvents. Cinnamaldehyde is derived from the steam distillation of the oil of cinnamon bark. In addition to its use as a flavoring agent in foods, beverages, and confectionery, it has antimicrobial properties and is used in some types of fungicides. Furthermore, due to its pleasant scent and flavor, it is a common ingredient in cosmetics and chewing gums.

More about C9H8O (Cinnamaldehyde) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/organic/C9H8O - cinnamaldehyde/nk/Rheims.yml
ID: ds_3cce56c6c9ea
API: /v1/datasets/ds_3cce56c6c9ea

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