Optical constants

Refractive index of BaF₂ (Barium fluoride)

Querry 1987: n,k 0.220–167 µm

Data: tabulated nk
Range: 0.22–166.7 µm
Points: 312
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.48024
Extinction coefficient k: 0

Permittivity ε₁: 2.19111
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.1 µm⁻¹

Group index n_g: 1.539
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

# BaF2 (Barium fluoride): Querry 1987: n,k 0.220–167 µm
baf2 = ls.fetch_refractiveindex("main", "BaF2", "Querry", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(baf2.range_nm)  # (220, 166667) nm
eps = baf2.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_8e593c2de6cf/lightsmith"
baf2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(baf2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (baf2/querry-1987).

# ... load baf2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=baf2)],
    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.

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

312 rows as published

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

BaF2 (Barium fluoride), Querry 1987: n,k 0.220–167 µm: n and k versus wavelength
λ (µm)	n	k
0.22	1.533	0.0
0.24	1.54	0.0
0.26	1.526	0.0
0.28	1.516	0.0
0.3	1.51	0.0
0.32	1.506	0.0
0.34	1.503	0.0
0.36	1.499	0.0
0.38	1.495	0.0
0.4	1.493	0.0
0.42	1.491	0.0
0.44	1.489	0.0
0.46	1.487	0.0
0.48	1.486	0.0
0.5	1.485	0.0
0.52	1.484	0.0
0.54	1.483	0.0
0.56	1.482	0.0
0.58	1.481	0.0
0.6	1.479	0.0
0.62	1.479	0.0
0.64	1.479	0.0
0.66	1.479	0.0
0.68	1.479	0.0
0.7	1.479	0.0
0.72	1.479	0.0
0.74	1.479	0.0
0.76	1.479	0.0
0.78	1.479	0.0
0.8	1.479	0.0
0.82	1.479	0.0
0.84	1.479	0.0
0.86	1.479	0.0
0.88	1.479	0.0
0.9	1.479	0.0
0.92	1.479	0.0
0.94	1.479	0.0
0.96	1.479	0.0
0.98	1.479	0.0
1.0	1.479	0.0
1.02	1.479	0.0
1.04	1.479	0.0
1.06	1.479	0.0
1.08	1.479	0.0
1.1	1.479	0.0
1.12	1.479	0.0
1.14	1.479	0.0
1.16	1.479	0.0
1.18	1.479	0.0
1.2	1.479	0.0
1.22	1.479	0.0
1.24	1.478	0.0
1.26	1.478	0.0
1.28	1.479	0.0
1.3	1.479	0.0
1.32	1.479	0.0
1.34	1.479	0.0
1.36	1.479	0.0
1.38	1.479	0.0
1.4	1.479	0.0
1.42	1.479	0.0
1.44	1.479	0.0
1.46	1.479	0.0
1.48	1.479	0.0
1.5	1.479	0.0
1.52	1.479	0.0
1.54	1.479	0.0
1.56	1.479	0.0
1.58	1.478	0.0
1.6	1.478	0.0
1.62	1.478	0.0
1.64	1.478	0.0
1.66	1.478	0.0
1.68	1.478	0.0
1.7	1.478	0.0
1.72	1.478	0.0
1.74	1.478	0.0
1.76	1.478	0.0
1.78	1.479	0.0
1.8	1.479	0.0
1.82	1.479	0.0
1.84	1.479	0.0
1.86	1.479	0.0
1.88	1.479	0.0
1.9	1.479	0.0
1.92	1.479	0.0
1.94	1.479	0.0
1.96	1.479	0.0
1.98	1.479	0.0
2.0	1.479	0.0
2.02	1.479	0.0
2.04	1.479	0.0
2.06	1.479	0.0
2.08	1.479	0.0
2.1	1.478	0.0
2.12	1.478	0.0
2.14	1.477	0.0
2.16	1.476	0.0
2.18	1.476	0.0
2.2	1.476	0.0
2.22	1.475	0.0
2.24	1.475	0.0
2.26	1.474	0.0
2.28	1.474	0.0
2.3	1.474	0.0
2.32	1.474	0.0
2.34	1.473	0.0
2.36	1.473	0.0
2.38	1.473	0.0
2.4	1.474	0.0
2.42	1.474	0.0
2.44	1.474	0.0
2.46	1.474	0.0
2.48	1.474	0.0
2.5	1.475	0.0
2.5126	1.475	0.0
2.5253	1.475	0.0
2.5381	1.475	0.0
2.551	1.475	0.0
2.5641	1.475	0.0
2.5773	1.475	0.0
2.5907	1.475	0.0
2.6042	1.475	0.0
2.6178	1.474	0.0
2.6316	1.474	0.0
2.6455	1.474	0.0
2.6596	1.474	0.0
2.6738	1.474	0.0
2.6882	1.474	0.0
2.7027	1.474	0.0
2.7174	1.473	0.0
2.7322	1.473	0.0
2.7473	1.473	0.0
2.7624	1.473	0.0
2.7778	1.473	0.0
2.7933	1.473	0.0
2.809	1.472	0.0
2.8249	1.472	0.0
2.8409	1.472	0.0
2.8571	1.472	0.0
2.8736	1.472	0.0
2.8902	1.472	0.0
2.907	1.472	0.0
2.924	1.472	0.0
2.9412	1.472	0.0
2.9586	1.472	0.0
2.9762	1.472	0.0
2.994	1.472	0.0
3.012	1.472	0.0
3.0303	1.472	0.0
3.0488	1.472	0.0
3.0675	1.472	0.0
3.0864	1.471	0.0
3.1056	1.471	0.0
3.125	1.471	0.0
3.1447	1.471	0.0
3.1646	1.471	0.0
3.1847	1.471	0.0
3.2051	1.472	0.0
3.2258	1.472	0.0
3.2468	1.472	0.0
3.268	1.472	0.0
3.2895	1.472	0.0
3.3113	1.471	0.0
3.3333	1.471	0.0
3.3557	1.471	0.0
3.3784	1.471	0.0
3.4014	1.471	0.0
3.4247	1.471	0.0
3.4483	1.47	0.0
3.4722	1.47	0.0
3.4965	1.47	0.0
3.5211	1.47	0.0
3.5461	1.47	0.0
3.5714	1.47	0.0
3.5971	1.469	0.0
3.6232	1.469	0.0
3.6496	1.469	0.0
3.6765	1.469	0.0
3.7037	1.469	0.0
3.7313	1.468	0.0
3.7594	1.468	0.0
3.7879	1.468	0.0
3.8168	1.468	0.0
3.8462	1.468	0.0
3.876	1.468	0.0
3.9063	1.468	0.0
3.937	1.468	0.0
3.9683	1.468	0.0
4.0	1.468	0.0
4.0323	1.468	0.0
4.065	1.468	0.0
4.0984	1.468	0.0
4.1322	1.468	0.0
4.1667	1.468	0.0
4.2017	1.468	0.0
4.2373	1.468	0.0
4.2735	1.467	0.0
4.3103	1.467	0.0
4.3478	1.467	0.0
4.386	1.467	0.0
4.4248	1.467	0.0
4.4643	1.467	0.0
4.5045	1.467	0.0
4.5455	1.467	0.0
4.5872	1.467	0.0
4.6296	1.467	0.0
4.6729	1.466	0.0
4.717	1.466	0.0
4.7619	1.466	0.0
4.8077	1.466	0.0
4.8544	1.466	0.0
4.902	1.466	0.0
4.9505	1.465	0.0
5.0	1.465	0.0
5.0505	1.465	0.0
5.102	1.464	0.0
5.1546	1.464	0.0
5.2083	1.464	0.0
5.2632	1.463	0.0
5.3191	1.463	0.0
5.3763	1.462	0.0
5.4348	1.462	0.0
5.4945	1.461	0.0
5.5556	1.461	0.0
5.618	1.46	0.0
5.6818	1.46	0.0
5.7471	1.46	0.0
5.814	1.459	0.0
5.8824	1.458	0.0
5.9524	1.458	0.0
6.0241	1.457	0.0
6.0976	1.457	0.0
6.1728	1.456	0.0
6.25	1.456	0.0
6.3291	1.455	0.0
6.4103	1.454	0.0
6.4935	1.454	0.0
6.5789	1.453	0.0
6.6667	1.452	0.0
6.7568	1.452	0.0
6.8493	1.451	0.0
6.9444	1.45	0.0
7.0423	1.45	0.0
7.1429	1.449	0.0
7.2464	1.449	0.0
7.3529	1.448	0.0
7.4627	1.448	0.0
7.5758	1.447	0.0
7.6923	1.446	0.0
7.8125	1.445	0.0
7.9365	1.444	0.0
8.0645	1.444	0.0
8.1967	1.442	0.0
8.3333	1.441	0.0
8.4746	1.44	0.0
8.6207	1.438	0.0
8.7719	1.436	0.0
8.9286	1.434	0.0
9.0909	1.433	0.0
9.2593	1.431	0.0
9.434	1.428	0.0
9.6154	1.426	0.0
9.8039	1.423	0.0
10.0	1.419	0.0
10.2041	1.416	0.0
10.4167	1.411	0.0
10.6383	1.406	0.0
10.8696	1.401	0.0
11.1111	1.395	0.0
11.3636	1.389	0.0
11.6279	1.382	0.0
11.9048	1.375	0.0
12.1951	1.367	0.0
12.5	1.36	0.0
12.8205	1.351	0.0
13.1579	1.343	0.0
13.5135	1.332	0.0
13.8889	1.321	0.0
14.2857	1.311	0.0
14.7059	1.301	0.0
15.1515	1.289	0.0
15.625	1.275	0.001
16.129	1.262	0.005
16.6667	1.248	0.007
17.2414	1.227	0.009
17.8571	1.206	0.017
18.5185	1.189	0.021
19.2308	1.16	0.02
20.0	1.13	0.026
20.8333	1.084	0.028
21.7391	1.023	0.045
22.7273	0.988	0.058
23.8095	0.923	0.099
25.0	0.858	0.102
26.3158	0.744	0.13
27.7778	0.572	0.183
29.4118	0.343	0.374
31.25	0.227	0.658
33.3333	0.148	0.979
35.7143	0.142	1.337
38.4615	0.129	1.753
41.6667	0.148	2.329
45.4545	0.205	3.297
50.0	0.976	5.834
55.5556	8.501	2.546
62.5	4.547	0.0
71.4286	3.595	0.0
83.3333	3.173	0.0
100.0	2.936	0.0
125.0	2.79	0.0
166.6667	2.696	0.0

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: —

BaF₂ (Barium fluoride): all datasets

About BaF2 (Barium fluoride)

BaF₂, or barium fluoride, is a crystal that offers a wide transmission range, spanning from the ultraviolet into the mid-infrared regions. This material is commonly used in specialized optical applications such as scintillators in high-energy physics experiments, and as windows and lenses in infrared spectroscopy systems. It possesses a relatively low refractive index and high resistance to radiation damage, which makes it especially useful in extreme conditions. Additionally, BaF₂ has fast scintillation response times, making it advantageous in fast-timing applications. One drawback, however, is that the crystal is hygroscopic, making it sensitive to moisture and requiring proper storage and handling to maintain its optical properties. It also has a lower resistance to thermal and mechanical shock compared to other fluoride crystals, which can be a consideration depending on the intended application. Despite these limitations, BaF₂ remains a highly valuable material for specialized optical and photonic applications, owing to its broad transmission range and resilience to high-energy radiation.

More about BaF2 (Barium fluoride) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/BaF2/nk/Querry.yml
ID: ds_8e593c2de6cf
API: /v1/datasets/ds_8e593c2de6cf

Plot