At one wavelength

Refractive index n: 2.26824
Extinction coefficient k: 0.338594

Permittivity ε₁: 5.03028
Permittivity ε₂: 1.53603

Absorption coefficient α: 3605.84 cm⁻¹
Penetration depth δ = λ/(2πk): 5546.55 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 0.00722282 µm⁻¹

Group index n_g: 2.18301
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 0.105071 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 2; n,k 2.50–55.6 µm
diesel_soot = ls.fetch_refractiveindex("other", "diesel_soot", "Querry-UMKC", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(diesel_soot.range_nm)  # (2500, 55555.6) nm
eps = diesel_soot.eps([11800])  # 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_8b3c86a2afed/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-umkc).

# ... 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=2500, stop_nm=55560, 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 University of Missouri - Kansas City 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

192 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 2; n,k 2.50–55.6 µm: n and k versus wavelength
λ (µm)	n	k
2.5	1.949	0.34
2.5126	1.95	0.339
2.5253	1.954	0.339
2.5381	1.953	0.335
2.551	1.954	0.338
2.5641	1.957	0.337
2.5773	1.957	0.334
2.5907	1.958	0.335
2.6042	1.959	0.332
2.6178	1.958	0.333
2.6316	1.961	0.333
2.6455	1.962	0.333
2.6596	1.965	0.332
2.6738	1.966	0.331
2.6882	1.968	0.33
2.7027	1.968	0.329
2.7174	1.969	0.329
2.7322	1.97	0.328
2.7473	1.97	0.327
2.7624	1.972	0.328
2.7778	1.974	0.327
2.7933	1.975	0.325
2.809	1.975	0.324
2.8249	1.975	0.325
2.8409	1.976	0.326
2.8571	1.978	0.325
2.8736	1.98	0.325
2.8902	1.981	0.324
2.907	1.981	0.324
2.924	1.983	0.323
2.9412	1.983	0.322
2.9586	1.985	0.322
2.9762	1.987	0.322
2.994	1.988	0.321
3.012	1.988	0.321
3.0303	1.99	0.322
3.0488	1.991	0.319
3.0675	1.99	0.321
3.0864	1.994	0.32
3.1056	1.993	0.318
3.125	1.995	0.319
3.1447	1.995	0.319
3.1646	1.998	0.319
3.1847	1.998	0.319
3.2051	2.0	0.318
3.2258	1.999	0.318
3.2468	2.001	0.319
3.268	2.003	0.318
3.2895	2.004	0.32
3.3113	2.008	0.318
3.3333	2.009	0.315
3.3557	2.008	0.315
3.3784	2.009	0.316
3.4014	2.011	0.315
3.4247	2.012	0.316
3.4483	2.016	0.315
3.4722	2.014	0.314
3.4965	2.016	0.314
3.5211	2.017	0.313
3.5461	2.017	0.313
3.5714	2.02	0.313
3.5971	2.02	0.312
3.6232	2.02	0.314
3.6496	2.025	0.314
3.6765	2.026	0.311
3.7037	2.023	0.31
3.7313	2.025	0.313
3.7594	2.028	0.313
3.7879	2.029	0.312
3.8168	2.03	0.311
3.8462	2.031	0.31
3.876	2.033	0.311
3.9063	2.032	0.311
3.937	2.035	0.314
3.9683	2.038	0.312
4.0	2.038	0.31
4.0323	2.04	0.311
4.065	2.042	0.31
4.0984	2.042	0.308
4.1322	2.042	0.31
4.1667	2.042	0.312
4.2017	2.047	0.316
4.2373	2.056	0.313
4.2735	2.055	0.308
4.3103	2.058	0.306
4.3478	2.056	0.3
4.386	2.053	0.303
4.4248	2.055	0.304
4.4643	2.055	0.303
4.5045	2.056	0.305
4.5455	2.059	0.304
4.5872	2.058	0.304
4.6296	2.06	0.304
4.6729	2.06	0.303
4.717	2.062	0.305
4.7619	2.064	0.306
4.8077	2.065	0.304
4.8544	2.065	0.304
4.902	2.065	0.303
4.9505	2.064	0.306
5.0	2.068	0.312
5.0505	2.077	0.312
5.102	2.078	0.308
5.1546	2.08	0.306
5.2083	2.08	0.305
5.2632	2.082	0.304
5.3191	2.082	0.301
5.3763	2.083	0.301
5.4348	2.084	0.3
5.4945	2.084	0.299
5.5556	2.083	0.298
5.618	2.082	0.299
5.6818	2.081	0.298
5.7471	2.079	0.3
5.814	2.077	0.301
5.8824	2.077	0.305
5.9524	2.078	0.306
6.0241	2.074	0.308
6.0976	2.071	0.316
6.1728	2.073	0.325
6.25	2.079	0.336
6.3291	2.092	0.34
6.4103	2.1	0.336
6.4935	2.104	0.334
6.5789	2.106	0.333
6.6667	2.107	0.332
6.7568	2.108	0.334
6.8493	2.109	0.336
6.9444	2.112	0.34
7.0423	2.116	0.343
7.1429	2.119	0.345
7.2464	2.121	0.349
7.3529	2.126	0.353
7.4627	2.13	0.356
7.5758	2.134	0.36
7.6923	2.14	0.365
7.8125	2.147	0.369
7.9365	2.157	0.374
8.0645	2.168	0.373
8.1967	2.175	0.373
8.3333	2.183	0.373
8.4746	2.191	0.375
8.6207	2.203	0.374
8.7719	2.213	0.37
8.9286	2.221	0.364
9.0909	2.227	0.36
9.2593	2.233	0.354
9.434	2.235	0.35
9.6154	2.241	0.348
9.8039	2.245	0.343
10.0	2.249	0.34
10.2041	2.251	0.336
10.4167	2.255	0.332
10.6383	2.254	0.328
10.8696	2.25	0.328
11.1111	2.251	0.338
11.3636	2.264	0.34
11.6279	2.267	0.333
11.9048	2.269	0.342
12.1951	2.283	0.343
12.5	2.29	0.335
12.8205	2.286	0.334
13.1579	2.294	0.349
13.5135	2.319	0.345
13.8889	2.322	0.33
14.2857	2.323	0.329
14.7059	2.331	0.328
15.1515	2.336	0.323
15.625	2.338	0.319
16.129	2.34	0.322
16.6667	2.348	0.321
17.2414	2.351	0.322
17.8571	2.359	0.323
18.5185	2.366	0.325
19.2308	2.377	0.326
20.0	2.384	0.325
20.8333	2.395	0.326
21.7391	2.404	0.324
22.7273	2.413	0.325
23.8095	2.425	0.325
25.0	2.439	0.325
26.3158	2.451	0.32
27.7778	2.46	0.32
29.4118	2.476	0.323
31.25	2.496	0.32
33.3333	2.511	0.312
35.7143	2.526	0.309
38.4615	2.541	0.305
41.6667	2.556	0.3
45.4545	2.576	0.304
50.0	2.611	0.297
55.5556	2.655	0.276

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