Optical constants

Refractive index of CaSO₄ (Calcium sulfate)

Querry 1987: n,k(β) 2.50–55.6 µm

Data: tabulated nk
Range: 2.5–55.56 µm
Points: 383
Optical axis: beta
Licence: CC0-1.0

Biaxial crystal, axes: beta

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.71598
Extinction coefficient k: 0.21474

Permittivity ε₁: 2.89846
Permittivity ε₂: 0.736978

Absorption coefficient α: 2286.87 cm⁻¹
Penetration depth δ = λ/(2πk): 8745.58 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.0856531 µm⁻¹

Group index n_g: 2.72668
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

# CaSO4 (Calcium sulfate): Querry 1987: n,k(β) 2.50–55.6 µm
caso4 = ls.fetch_refractiveindex("main", "CaSO4", "Querry-β", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(caso4.range_nm)  # (2500, 55555.6) nm
eps = caso4.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_8cac727a3b71/lightsmith"
caso4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(caso4.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (caso4/querry-1987-2).

# ... load caso4 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=caso4)],
    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

n_β, k_β.

Conditions

direction: beta

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

383 rows as published

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

CaSO4 (Calcium sulfate), Querry 1987: n,k(β) 2.50–55.6 µm: n and k versus wavelength
λ (µm)	n	k
2.5	1.553	0.0
2.5063	1.553	0.001
2.5126	1.553	0.002
2.5189	1.553	0.002
2.5253	1.553	0.003
2.5316	1.553	0.003
2.5381	1.554	0.004
2.5445	1.554	0.004
2.551	1.554	0.004
2.5575	1.554	0.004
2.5641	1.554	0.004
2.5707	1.554	0.004
2.5773	1.554	0.004
2.584	1.554	0.004
2.5907	1.554	0.004
2.5974	1.554	0.004
2.6042	1.554	0.004
2.611	1.554	0.003
2.6178	1.554	0.002
2.6247	1.553	0.002
2.6316	1.553	0.002
2.6385	1.552	0.001
2.6455	1.551	0.001
2.6525	1.551	0.0
2.6596	1.55	0.0
2.6667	1.55	0.0
2.6738	1.549	0.0
2.681	1.548	0.0
2.6882	1.547	0.0
2.6954	1.546	0.0
2.7027	1.545	0.0
2.71	1.543	0.0
2.7174	1.542	0.0
2.7248	1.541	0.0
2.7322	1.54	0.0
2.7397	1.539	0.0
2.7473	1.538	0.0
2.7548	1.537	0.0
2.7624	1.535	0.001
2.7701	1.534	0.001
2.7778	1.534	0.002
2.7855	1.532	0.003
2.7933	1.532	0.003
2.8011	1.531	0.004
2.809	1.53	0.005
2.8169	1.53	0.006
2.8249	1.529	0.007
2.8329	1.529	0.008
2.8409	1.528	0.008
2.849	1.528	0.009
2.8571	1.528	0.01
2.8653	1.527	0.01
2.8736	1.527	0.01
2.8818	1.527	0.011
2.8902	1.526	0.011
2.8986	1.526	0.011
2.907	1.525	0.011
2.9155	1.525	0.012
2.924	1.524	0.012
2.9326	1.523	0.013
2.9412	1.522	0.013
2.9499	1.522	0.014
2.9586	1.521	0.014
2.9674	1.52	0.015
2.9762	1.519	0.016
2.9851	1.519	0.017
2.994	1.518	0.018
3.003	1.518	0.019
3.012	1.517	0.02
3.0211	1.517	0.021
3.0303	1.516	0.022
3.0395	1.516	0.023
3.0488	1.516	0.024
3.0581	1.516	0.025
3.0675	1.516	0.025
3.0769	1.515	0.026
3.0864	1.515	0.027
3.096	1.514	0.028
3.1056	1.514	0.028
3.1153	1.514	0.029
3.125	1.513	0.03
3.1348	1.513	0.032
3.1447	1.513	0.033
3.1546	1.512	0.035
3.1646	1.513	0.036
3.1746	1.513	0.038
3.1847	1.513	0.039
3.1949	1.513	0.04
3.2051	1.514	0.042
3.2154	1.514	0.043
3.2258	1.515	0.044
3.2362	1.516	0.046
3.2468	1.517	0.047
3.2573	1.518	0.048
3.268	1.519	0.049
3.2787	1.521	0.049
3.2895	1.522	0.05
3.3003	1.524	0.05
3.3113	1.525	0.05
3.3223	1.527	0.05
3.3333	1.528	0.05
3.3445	1.528	0.05
3.3557	1.53	0.05
3.367	1.53	0.049
3.3784	1.531	0.049
3.3898	1.532	0.048
3.4014	1.532	0.048
3.413	1.533	0.047
3.4247	1.533	0.047
3.4364	1.534	0.047
3.4483	1.534	0.047
3.4602	1.535	0.047
3.4722	1.536	0.047
3.4843	1.536	0.047
3.4965	1.537	0.046
3.5088	1.539	0.046
3.5211	1.54	0.045
3.5336	1.541	0.045
3.5461	1.542	0.044
3.5587	1.543	0.042
3.5714	1.544	0.041
3.5842	1.545	0.04
3.5971	1.547	0.038
3.6101	1.548	0.036
3.6232	1.549	0.033
3.6364	1.549	0.03
3.6496	1.549	0.027
3.663	1.548	0.024
3.6765	1.546	0.021
3.69	1.544	0.018
3.7037	1.542	0.016
3.7175	1.54	0.015
3.7313	1.537	0.013
3.7453	1.536	0.012
3.7594	1.533	0.01
3.7736	1.531	0.009
3.7879	1.528	0.008
3.8023	1.526	0.008
3.8168	1.523	0.007
3.8314	1.52	0.008
3.8462	1.518	0.008
3.861	1.516	0.006
3.876	1.513	0.009
3.8911	1.511	0.009
3.9063	1.51	0.01
3.9216	1.508	0.011
3.937	1.507	0.011
3.9526	1.506	0.011
3.9683	1.504	0.011
3.9841	1.501	0.011
4.0	1.499	0.012
4.0161	1.498	0.013
4.0323	1.496	0.014
4.0486	1.495	0.015
4.065	1.494	0.016
4.0816	1.493	0.017
4.0984	1.492	0.017
4.1152	1.49	0.017
4.1322	1.489	0.018
4.1494	1.487	0.018
4.1667	1.485	0.019
4.1841	1.484	0.02
4.2017	1.482	0.021
4.2194	1.48	0.022
4.2373	1.479	0.023
4.2553	1.478	0.024
4.2735	1.474	0.024
4.2918	1.472	0.026
4.3103	1.469	0.029
4.329	1.468	0.032
4.3478	1.468	0.036
4.3668	1.47	0.04
4.386	1.472	0.041
4.4053	1.473	0.04
4.4248	1.472	0.04
4.4444	1.471	0.041
4.4643	1.471	0.041
4.4843	1.471	0.042
4.5045	1.472	0.042
4.5249	1.47	0.041
4.5455	1.469	0.041
4.5662	1.467	0.042
4.5872	1.466	0.044
4.6083	1.466	0.043
4.6296	1.464	0.043
4.6512	1.46	0.043
4.6729	1.453	0.047
4.6948	1.453	0.057
4.717	1.459	0.064
4.7393	1.467	0.063
4.7619	1.469	0.057
4.7847	1.468	0.055
4.8077	1.466	0.055
4.8309	1.465	0.056
4.8544	1.465	0.057
4.878	1.466	0.058
4.902	1.467	0.056
4.9505	1.466	0.055
4.9751	1.465	0.053
4.9261	1.466	0.056
5.0	1.464	0.052
5.0251	1.461	0.052
5.0505	1.46	0.052
5.0761	1.459	0.053
5.102	1.457	0.054
5.1282	1.458	0.056
5.1546	1.46	0.055
5.1813	1.46	0.052
5.2083	1.459	0.049
5.2356	1.457	0.046
5.2632	1.452	0.044
5.291	1.448	0.044
5.3191	1.444	0.045
5.3476	1.442	0.046
5.3763	1.439	0.046
5.4054	1.436	0.047
5.4348	1.434	0.048
5.4645	1.432	0.05
5.4945	1.43	0.05
5.5249	1.427	0.049
5.5556	1.424	0.05
5.5866	1.421	0.053
5.618	1.421	0.054
5.6497	1.419	0.054
5.6818	1.417	0.055
5.7143	1.415	0.056
5.7471	1.413	0.056
5.7803	1.411	0.057
5.814	1.409	0.056
5.848	1.406	0.055
5.8824	1.403	0.056
5.9172	1.399	0.057
5.9524	1.398	0.059
5.98	1.395	0.058
6.0241	1.393	0.057
6.0606	1.388	0.056
6.0976	1.381	0.057
6.135	1.377	0.061
6.1728	1.374	0.064
6.2112	1.374	0.066
6.25	1.372	0.065
6.2893	1.369	0.064
6.3291	1.365	0.063
6.3694	1.361	0.065
6.4103	1.357	0.064
6.4516	1.352	0.064
6.4935	1.349	0.064
6.5359	1.345	0.065
6.5789	1.341	0.063
6.6225	1.334	0.06
6.6667	1.325	0.06
6.7114	1.319	0.062
6.7568	1.312	0.062
6.8027	1.305	0.062
6.8493	1.297	0.062
6.8966	1.29	0.064
6.9444	1.283	0.062
6.993	1.273	0.061
7.0423	1.262	0.061
7.0922	1.254	0.063
7.1429	1.242	0.062
7.1942	1.228	0.062
7.2464	1.214	0.061
7.2993	1.2	0.062
7.3529	1.184	0.063
7.4074	1.166	0.065
7.4627	1.151	0.069
7.5188	1.135	0.068
7.5758	1.114	0.067
7.6336	1.09	0.063
7.6923	1.066	0.065
7.7519	1.013	0.063
7.8125	0.995	0.071
7.874	0.964	0.072
7.9365	0.899	0.073
8.0	0.852	0.075
8.0645	0.774	0.081
8.1301	0.696	0.097
8.1967	0.596	0.092
8.2645	0.375	0.114
8.3333	0.121	0.367
8.4034	0.1	0.656
8.4746	0.116	0.882
8.547	0.144	1.088
8.6207	0.177	1.3
8.6957	0.217	1.528
8.7719	0.27	1.804
8.8496	0.356	2.148
8.9286	0.509	2.633
9.009	0.938	3.417
9.0909	2.39	4.774
9.1743	4.831	1.355
9.2593	3.48	0.62
9.3456	2.966	0.447
9.434	2.677	0.375
9.5238	2.491	0.333
9.6154	2.353	0.308
9.7087	2.251	0.291
9.8039	2.182	0.273
9.901	2.115	0.255
10.0	2.056	0.252
10.101	2.012	0.249
10.2041	1.978	0.239
10.3093	1.946	0.231
10.4167	1.912	0.228
10.5263	1.889	0.225
10.6383	1.865	0.227
10.7527	1.846	0.216
10.8696	1.821	0.213
10.989	1.803	0.213
11.1111	1.776	0.212
11.236	1.763	0.218
11.3636	1.754	0.218
11.4943	1.741	0.217
11.6279	1.729	0.214
11.7647	1.719	0.216
11.9048	1.707	0.211
12.0482	1.693	0.212
12.1951	1.687	0.208
12.3457	1.672	0.213
12.5	1.657	0.206
12.6582	1.644	0.205
12.8205	1.629	0.205
12.987	1.612	0.212
13.1579	1.606	0.215
13.3333	1.591	0.215
13.5135	1.58	0.221
13.6986	1.57	0.222
13.8889	1.547	0.226
14.0845	1.535	0.239
14.2857	1.513	0.256
14.4928	1.536	0.266
14.7059	1.533	0.244
14.9254	1.513	0.212
15.1515	1.463	0.211
15.3846	1.423	0.21
15.625	1.364	0.219
15.873	1.279	0.225
16.129	1.133	0.233
16.3934	0.767	0.469
16.6667	0.632	1.385
16.9492	2.771	2.017
17.2414	2.329	0.202
17.5439	1.93	0.212
17.8571	1.795	0.217
18.1818	1.725	0.219
18.5185	1.671	0.22
18.8679	1.631	0.215
19.2308	1.597	0.213
19.6078	1.568	0.222
20.0	1.544	0.22
20.4082	1.512	0.21
20.8333	1.489	0.213
21.2766	1.463	0.213
21.7391	1.438	0.215
22.2222	1.409	0.207
22.7273	1.375	0.205
23.2558	1.341	0.204
23.8095	1.31	0.203
24.3902	1.275	0.194
25.0	1.237	0.178
25.641	1.182	0.174
26.3158	1.12	0.163
27.027	1.054	0.141
27.7778	0.955	0.131
28.5714	0.803	0.104
29.4118	0.577	0.124
30.303	0.418	0.32
31.25	0.308	0.527
32.2581	0.271	0.752
33.3333	0.287	0.952
34.4828	0.324	1.137
35.7143	0.381	1.356
37.037	0.601	1.612
38.4615	0.995	1.633
40.0	1.235	1.374
41.6667	1.227	1.123
43.4783	1.16	0.977
45.4545	1.099	0.797
47.619	0.986	0.549
50.0	0.438	0.388
52.6316	0.186	0.724
55.5556	0.281	0.342

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: —

CaSO₄ (Calcium sulfate): all datasets

About CaSO4 (Calcium sulfate)

Calcium sulfate (CaSO₄) is an inorganic compound that exists in various forms including anhydrite (anhydrous) and gypsum (dihydrate). It possesses an orthorhombic crystal structure in its anhydrous form and a monoclinic structure as gypsum. While it has limited direct applications in the field of optics, it serves as a crucial material in industrial processes. It is often used as a filler in the production of paper and textiles and acts as a coagulant in water treatment. Calcium sulfate is also employed in the construction industry as a component of drywall and plasters. Its low solubility in water makes it ideal for soil treatment, where it helps to break down heavy clay soils. In the medical field, gypsum is used for making orthopedic casts. Calcium sulfate is commonly synthesized through the neutralization of sulfuric acid with calcium carbonate or as a byproduct in various industrial processes. Its diverse applications make it an economically significant material across multiple sectors. Mineral: Anhydrite

More about CaSO4 (Calcium sulfate) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/CaSO4/nk/Querry-beta.yml
ID: ds_8cac727a3b71
API: /v1/datasets/ds_8cac727a3b71

Plot