At one wavelength

Refractive index n: 1.62704
Extinction coefficient k: 0.28176

Permittivity ε₁: 2.56787
Permittivity ε₂: 0.91687

Absorption coefficient α: 60257 cm⁻¹
Penetration depth δ = λ/(2πk): 331.912 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 0.4 µm⁻¹

Group index n_g: 1.392
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; n,k 0.260–55.6 µm
diesel_soot = ls.fetch_refractiveindex("other", "diesel_soot", "Querry-NMSU", 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_d2a239b6049d/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).

# ... 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.

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; n,k 0.260–55.6 µm: n and k versus wavelength
λ (µm)	n	k
0.26	1.39	0.171
0.28	1.415	0.189
0.3	1.439	0.205
0.32	1.46	0.22
0.34	1.483	0.23
0.36	1.5	0.236
0.38	1.514	0.243
0.4	1.528	0.249
0.42	1.539	0.255
0.44	1.553	0.262
0.46	1.565	0.266
0.48	1.577	0.272
0.5	1.589	0.273
0.52	1.599	0.275
0.54	1.608	0.277
0.56	1.617	0.279
0.58	1.624	0.281
0.6	1.632	0.283
0.62	1.639	0.285
0.64	1.646	0.287
0.66	1.652	0.289
0.68	1.658	0.291
0.7	1.664	0.293
0.72	1.67	0.295
0.74	1.676	0.298
0.76	1.682	0.3
0.78	1.688	0.302
0.8	1.694	0.304
0.82	1.701	0.305
0.84	1.706	0.306
0.86	1.71	0.308
0.88	1.715	0.311
0.9	1.722	0.312
0.92	1.727	0.313
0.94	1.731	0.314
0.96	1.736	0.315
0.98	1.741	0.317
1.0	1.746	0.318
1.02	1.75	0.319
1.04	1.755	0.32
1.06	1.759	0.321
1.08	1.763	0.323
1.1	1.768	0.324
1.12	1.772	0.325
1.14	1.776	0.326
1.16	1.78	0.327
1.18	1.785	0.328
1.2	1.789	0.329
1.22	1.793	0.33
1.24	1.797	0.331
1.26	1.801	0.331
1.28	1.805	0.332
1.3	1.809	0.333
1.32	1.812	0.334
1.34	1.816	0.335
1.36	1.82	0.335
1.38	1.824	0.336
1.4	1.827	0.336
1.42	1.831	0.337
1.44	1.835	0.337
1.46	1.838	0.338
1.48	1.841	0.338
1.5	1.844	0.338
1.52	1.848	0.339
1.54	1.852	0.339
1.56	1.855	0.34
1.58	1.858	0.34
1.6	1.861	0.34
1.62	1.864	0.341
1.64	1.867	0.341
1.66	1.87	0.341
1.68	1.873	0.342
1.7	1.876	0.342
1.72	1.879	0.343
1.74	1.882	0.343
1.76	1.885	0.343
1.78	1.888	0.343
1.8	1.891	0.343
1.82	1.893	0.343
1.84	1.896	0.343
1.86	1.898	0.343
1.88	1.9	0.343
1.9	1.903	0.343
1.92	1.905	0.344
1.94	1.907	0.344
1.96	1.909	0.345
1.98	1.912	0.345
2.0	1.914	0.346
2.02	1.916	0.347
2.04	1.919	0.347
2.06	1.921	0.348
2.08	1.924	0.349
2.1	1.927	0.35
2.12	1.929	0.351
2.14	1.933	0.351
2.16	1.936	0.352
2.18	1.939	0.352
2.2	1.942	0.352
2.22	1.945	0.353
2.24	1.947	0.353
2.26	1.951	0.353
2.28	1.954	0.353
2.3	1.956	0.353
2.32	1.96	0.353
2.34	1.963	0.352
2.36	1.966	0.352
2.38	1.968	0.351
2.4	1.971	0.351
2.42	1.974	0.35
2.44	1.977	0.349
2.46	1.979	0.348
2.48	1.981	0.347
2.5	1.984	0.346
2.5126	1.985	0.346
2.5253	1.986	0.343
2.5381	1.985	0.345
2.551	1.988	0.344
2.5641	1.988	0.343
2.5773	1.989	0.343
2.5907	1.991	0.343
2.6042	1.992	0.342
2.6178	1.993	0.343
2.6316	1.995	0.342
2.6455	1.995	0.342
2.6596	1.997	0.341
2.6738	1.997	0.342
2.6882	2.0	0.341
2.7027	2.0	0.34
2.7174	2.002	0.34
2.7322	2.003	0.339
2.7473	2.003	0.339
2.7624	2.004	0.339
2.7778	2.006	0.34
2.7933	2.007	0.338
2.809	2.007	0.339
2.8249	2.011	0.34
2.8409	2.012	0.337
2.8571	2.012	0.337
2.8736	2.013	0.337
2.8902	2.014	0.336
2.907	2.014	0.337
2.924	2.015	0.337
2.9412	2.017	0.339
2.9586	2.021	0.337
2.9762	2.021	0.336
2.994	2.022	0.335
3.012	2.024	0.338
3.0303	2.025	0.334
3.0488	2.026	0.333
3.0675	2.026	0.333
3.0864	2.026	0.335
3.1056	2.028	0.334
3.125	2.03	0.335
3.1447	2.032	0.334
3.1646	2.032	0.333
3.1847	2.034	0.334
3.2051	2.035	0.332
3.2258	2.036	0.333
3.2468	2.037	0.334
3.268	2.039	0.333
3.2895	2.041	0.334
3.3113	2.043	0.333
3.3333	2.045	0.333
3.3557	2.048	0.33
3.3784	2.045	0.329
3.4014	2.047	0.333
3.4247	2.049	0.331
3.4483	2.05	0.332
3.4722	2.052	0.331
3.4965	2.053	0.329
3.5211	2.054	0.33
3.5461	2.056	0.33
3.5714	2.058	0.331
3.5971	2.059	0.328
3.6232	2.058	0.329
3.6496	2.062	0.329
3.6765	2.062	0.328
3.7037	2.063	0.328
3.7313	2.066	0.328
3.7594	2.067	0.328
3.7879	2.069	0.328
3.8168	2.071	0.327
3.8462	2.071	0.325
3.876	2.071	0.326
3.9063	2.075	0.326
3.937	2.076	0.326
3.9683	2.077	0.325
4.0	2.076	0.326
4.0323	2.08	0.326
4.065	2.081	0.324
4.0984	2.082	0.324
4.1322	2.084	0.325
4.1667	2.086	0.322
4.2017	2.086	0.323
4.2373	2.089	0.322
4.2735	2.089	0.321
4.3103	2.09	0.321
4.3478	2.091	0.322
4.386	2.093	0.32
4.4248	2.093	0.321
4.4643	2.095	0.321
4.5045	2.096	0.32
4.5455	2.097	0.32
4.5872	2.098	0.321
4.6296	2.1	0.321
4.6729	2.1	0.321
4.717	2.102	0.322
4.7619	2.103	0.321
4.8077	2.103	0.321
4.8544	2.105	0.321
4.902	2.106	0.322
4.9505	2.108	0.321
5.0	2.107	0.327
5.0505	2.115	0.328
5.102	2.118	0.324
5.1546	2.118	0.323
5.2083	2.12	0.322
5.2632	2.122	0.32
5.3191	2.122	0.319
5.3763	2.124	0.319
5.4348	2.123	0.318
5.4945	2.123	0.318
5.5556	2.125	0.316
5.618	2.122	0.317
5.6818	2.123	0.317
5.7471	2.121	0.316
5.814	2.119	0.32
5.8824	2.12	0.323
5.9524	2.12	0.323
6.0241	2.115	0.326
6.0976	2.114	0.333
6.1728	2.115	0.343
6.25	2.122	0.353
6.3291	2.133	0.356
6.4103	2.141	0.354
6.4935	2.145	0.351
6.5789	2.146	0.349
6.6667	2.146	0.35
6.7568	2.146	0.353
6.8493	2.148	0.359
6.9444	2.154	0.363
7.0423	2.16	0.365
7.1429	2.162	0.365
7.2464	2.165	0.369
7.3529	2.17	0.372
7.4627	2.173	0.376
7.5758	2.179	0.38
7.6923	2.185	0.383
7.8125	2.192	0.389
7.9365	2.202	0.391
8.0645	2.21	0.391
8.1967	2.217	0.392
8.3333	2.225	0.393
8.4746	2.234	0.393
8.6207	2.244	0.394
8.7719	2.254	0.389
8.9286	2.261	0.386
9.0909	2.269	0.381
9.2593	2.274	0.376
9.434	2.277	0.374
9.6154	2.283	0.373
9.8039	2.289	0.367
10.0	2.292	0.363
10.2041	2.295	0.358
10.4167	2.296	0.355
10.6383	2.294	0.351
10.8696	2.29	0.353
11.1111	2.288	0.362
11.3636	2.3	0.373
11.6279	2.307	0.366
11.9048	2.307	0.375
12.1951	2.321	0.382
12.5	2.334	0.377
12.8205	2.333	0.376
13.1579	2.342	0.391
13.5135	2.37	0.39
13.8889	2.378	0.373
14.2857	2.379	0.368
14.7059	2.383	0.367
15.1515	2.386	0.367
15.625	2.388	0.378
16.129	2.412	0.383
16.6667	2.425	0.373
17.2414	2.435	0.368
17.8571	2.444	0.361
18.5185	2.449	0.357
19.2308	2.454	0.354
20.0	2.461	0.355
20.8333	2.47	0.357
21.7391	2.482	0.357
22.7273	2.494	0.356
23.8095	2.508	0.354
25.0	2.519	0.353
26.3158	2.533	0.351
27.7778	2.546	0.349
29.4118	2.564	0.349
31.25	2.583	0.342
33.3333	2.597	0.336
35.7143	2.612	0.334
38.4615	2.631	0.334
41.6667	2.66	0.333
45.4545	2.697	0.323
50.0	2.731	0.295
55.5556	2.754	0.264

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