At one wavelength

Refractive index n: 1.51828
Extinction coefficient k: 0.25114

Permittivity ε₁: 2.2421
Permittivity ε₂: 0.762602

Absorption coefficient α: 53708.6 cm⁻¹
Penetration depth δ = λ/(2πk): 372.38 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 0.3 µm⁻¹

Group index n_g: 1.342
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — 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

# Diesel soot: Querry 1987: Sample 1, heated; n,k 0.260–55.6 µm
diesel_soot = ls.fetch_refractiveindex("other", "diesel_soot", "Querry-NMSU-heated", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(diesel_soot.range_nm)  # (260, 55555.6) nm
eps = diesel_soot.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_05c790b5263d/lightsmith"
diesel_soot = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(diesel_soot.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (diesel-soot/querry-1987-nmsu-heated).

# ... load diesel_soot as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=diesel_soot)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, 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.

Comments and conditions

Diesel soot sample obtained at New Mexico State University by open burning of diesel fuel. Sample heated to to about 320 °C for about one-half hour to drive off any unburned hydrocarbons.

References

M. R. Querry. Optical constants of minerals and other materials from the millimeter to the ultraviolet, Contractor Report CRDEC-CR-88009 (1987)

Cite

M. R. Querry. Optical constants of minerals and other materials from the millimeter to the ultraviolet, Contractor Report CRDEC-CR-88009 (1987); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

304 rows as published

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

Diesel soot, Querry 1987: Sample 1, heated; n,k 0.260–55.6 µm: n and k versus wavelength
λ (µm)	n	k
0.26	1.306	0.155
0.28	1.329	0.171
0.3	1.35	0.184
0.32	1.367	0.196
0.34	1.384	0.206
0.36	1.4	0.216
0.38	1.417	0.223
0.4	1.431	0.228
0.42	1.444	0.232
0.44	1.455	0.235
0.46	1.466	0.239
0.48	1.476	0.242
0.5	1.485	0.243
0.52	1.494	0.245
0.54	1.502	0.248
0.56	1.51	0.249
0.58	1.516	0.25
0.6	1.522	0.253
0.62	1.528	0.254
0.64	1.533	0.256
0.66	1.539	0.26
0.68	1.545	0.262
0.7	1.552	0.264
0.72	1.557	0.267
0.74	1.563	0.269
0.76	1.57	0.271
0.78	1.576	0.273
0.8	1.583	0.273
0.82	1.587	0.272
0.84	1.592	0.274
0.86	1.596	0.275
0.88	1.6	0.276
0.9	1.605	0.277
0.92	1.609	0.278
0.94	1.614	0.279
0.96	1.618	0.28
0.98	1.622	0.282
1.0	1.626	0.283
1.02	1.631	0.284
1.04	1.635	0.284
1.06	1.638	0.285
1.08	1.642	0.286
1.1	1.646	0.287
1.12	1.65	0.288
1.14	1.654	0.288
1.16	1.657	0.289
1.18	1.661	0.29
1.2	1.664	0.29
1.22	1.668	0.292
1.24	1.671	0.292
1.26	1.674	0.293
1.28	1.678	0.293
1.3	1.681	0.294
1.32	1.685	0.295
1.34	1.688	0.295
1.36	1.691	0.296
1.38	1.694	0.296
1.4	1.697	0.297
1.42	1.7	0.297
1.44	1.703	0.297
1.46	1.706	0.298
1.48	1.709	0.298
1.5	1.712	0.299
1.52	1.715	0.299
1.54	1.718	0.299
1.56	1.72	0.299
1.58	1.723	0.3
1.6	1.725	0.3
1.62	1.728	0.301
1.64	1.731	0.301
1.66	1.734	0.302
1.68	1.736	0.302
1.7	1.739	0.302
1.72	1.741	0.302
1.74	1.743	0.303
1.76	1.746	0.303
1.78	1.748	0.303
1.8	1.751	0.304
1.82	1.753	0.304
1.84	1.755	0.304
1.86	1.757	0.304
1.88	1.759	0.305
1.9	1.761	0.305
1.92	1.763	0.306
1.94	1.765	0.306
1.96	1.767	0.307
1.98	1.769	0.307
2.0	1.771	0.308
2.02	1.773	0.309
2.04	1.775	0.311
2.06	1.778	0.312
2.08	1.78	0.313
2.1	1.783	0.314
2.12	1.785	0.314
2.14	1.788	0.315
2.16	1.791	0.316
2.18	1.794	0.317
2.2	1.797	0.317
2.22	1.8	0.318
2.24	1.803	0.318
2.26	1.806	0.318
2.28	1.809	0.319
2.3	1.812	0.318
2.32	1.815	0.319
2.34	1.819	0.318
2.36	1.822	0.318
2.38	1.825	0.317
2.4	1.827	0.317
2.42	1.83	0.316
2.44	1.833	0.315
2.46	1.836	0.314
2.48	1.839	0.312
2.5	1.842	0.311
2.5126	1.841	0.309
2.5253	1.842	0.309
2.5381	1.843	0.309
2.551	1.845	0.308
2.5641	1.845	0.307
2.5773	1.846	0.307
2.5907	1.847	0.306
2.6042	1.849	0.305
2.6178	1.849	0.304
2.6316	1.849	0.305
2.6455	1.852	0.305
2.6596	1.852	0.303
2.6738	1.853	0.306
2.6882	1.855	0.302
2.7027	1.854	0.304
2.7174	1.857	0.303
2.7322	1.857	0.303
2.7473	1.858	0.302
2.7624	1.858	0.303
2.7778	1.86	0.303
2.7933	1.862	0.302
2.809	1.863	0.301
2.8249	1.864	0.3
2.8409	1.864	0.3
2.8571	1.865	0.301
2.8736	1.869	0.3
2.8902	1.867	0.298
2.907	1.87	0.3
2.924	1.871	0.297
2.9412	1.872	0.299
2.9586	1.874	0.298
2.9762	1.875	0.297
2.994	1.875	0.296
3.012	1.876	0.296
3.0303	1.877	0.295
3.0488	1.878	0.293
3.0675	1.877	0.295
3.0864	1.88	0.297
3.1056	1.881	0.294
3.125	1.881	0.296
3.1447	1.884	0.295
3.1646	1.885	0.293
3.1847	1.884	0.293
3.2051	1.885	0.294
3.2258	1.886	0.295
3.2468	1.89	0.296
3.268	1.891	0.293
3.2895	1.892	0.295
3.3113	1.895	0.293
3.3333	1.896	0.291
3.3557	1.896	0.289
3.3784	1.896	0.291
3.4014	1.899	0.29
3.4247	1.898	0.289
3.4483	1.9	0.289
3.4722	1.9	0.29
3.4965	1.903	0.29
3.5211	1.904	0.289
3.5461	1.905	0.289
3.5714	1.908	0.288
3.5971	1.908	0.287
3.6232	1.909	0.286
3.6496	1.909	0.287
3.6765	1.911	0.287
3.7037	1.912	0.286
3.7313	1.915	0.285
3.7594	1.913	0.282
3.7879	1.913	0.286
3.8168	1.917	0.285
3.8462	1.918	0.284
3.876	1.918	0.284
3.9063	1.92	0.285
3.937	1.922	0.283
3.9683	1.922	0.281
4.0	1.923	0.282
4.0323	1.924	0.284
4.065	1.927	0.282
4.0984	1.929	0.281
4.1322	1.93	0.28
4.1667	1.932	0.279
4.2017	1.932	0.276
4.2373	1.929	0.275
4.2735	1.929	0.276
4.3103	1.929	0.279
4.3478	1.933	0.28
4.386	1.936	0.28
4.4248	1.938	0.278
4.4643	1.938	0.278
4.5045	1.937	0.278
4.5455	1.94	0.278
4.5872	1.941	0.277
4.6296	1.942	0.277
4.6729	1.943	0.276
4.717	1.945	0.275
4.7619	1.944	0.274
4.8077	1.945	0.275
4.8544	1.946	0.274
4.902	1.946	0.273
4.9505	1.944	0.275
5.0	1.946	0.279
5.0505	1.952	0.279
5.102	1.954	0.276
5.1546	1.954	0.275
5.2083	1.955	0.274
5.2632	1.954	0.273
5.3191	1.955	0.273
5.3763	1.955	0.271
5.4348	1.956	0.27
5.4945	1.953	0.27
5.5556	1.951	0.271
5.618	1.949	0.275
5.6818	1.95	0.278
5.7471	1.953	0.281
5.814	1.956	0.28
5.8824	1.955	0.277
5.9524	1.95	0.278
6.0241	1.944	0.285
6.0976	1.944	0.294
6.1728	1.947	0.303
6.25	1.956	0.314
6.3291	1.971	0.315
6.4103	1.977	0.308
6.4935	1.979	0.307
6.5789	1.98	0.306
6.6667	1.983	0.305
6.7568	1.982	0.305
6.8493	1.983	0.309
6.9444	1.986	0.313
7.0423	1.989	0.313
7.1429	1.99	0.314
7.2464	1.991	0.319
7.3529	1.996	0.323
7.4627	2.0	0.327
7.5758	2.005	0.33
7.6923	2.009	0.334
7.8125	2.017	0.339
7.9365	2.025	0.343
8.0645	2.034	0.344
8.1967	2.042	0.345
8.3333	2.052	0.344
8.4746	2.06	0.341
8.6207	2.066	0.339
8.7719	2.075	0.34
8.9286	2.083	0.333
9.0909	2.087	0.33
9.2593	2.093	0.325
9.434	2.097	0.322
9.6154	2.102	0.319
9.8039	2.106	0.314
10.0	2.108	0.31
10.2041	2.109	0.306
10.4167	2.11	0.303
10.6383	2.109	0.299
10.8696	2.105	0.303
11.1111	2.108	0.308
11.3636	2.117	0.311
11.6279	2.12	0.308
11.9048	2.122	0.314
12.1951	2.132	0.315
12.5	2.139	0.312
12.8205	2.139	0.31
13.1579	2.145	0.317
13.5135	2.159	0.314
13.8889	2.162	0.307
14.2857	2.163	0.306
14.7059	2.168	0.309
15.1515	2.173	0.308
15.625	2.177	0.311
16.129	2.187	0.313
16.6667	2.195	0.309
17.2414	2.199	0.307
17.8571	2.204	0.307
18.5185	2.21	0.307
19.2308	2.216	0.309
20.0	2.223	0.308
20.8333	2.229	0.311
21.7391	2.238	0.312
22.7273	2.245	0.315
23.8095	2.254	0.316
25.0	2.265	0.318
26.3158	2.276	0.319
27.7778	2.288	0.319
29.4118	2.296	0.319
31.25	2.307	0.323
33.3333	2.318	0.325
35.7143	2.333	0.331
38.4615	2.348	0.337
41.6667	2.372	0.345
45.4545	2.397	0.342
50.0	2.416	0.347
55.5556	2.449	0.351

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: —

Plot