Optical constants

Refractive index of CaSO₄ (Calcium sulfate)

Querry 1987: n,k(α) 2.50–55.6 µm

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

Biaxial crystal, axes: alpha

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.57422
Extinction coefficient k: 0.133496

Permittivity ε₁: 2.46035
Permittivity ε₂: 0.420305

Absorption coefficient α: 1421.66 cm⁻¹
Penetration depth δ = λ/(2πk): 14068 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.107066 µm⁻¹

Group index n_g: 2.8376
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(α) 2.50–55.6 µm
caso4 = ls.fetch_refractiveindex("main", "CaSO4", "Querry-α", 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_7c8fcf2eb41e/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).

# ... 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_α, k_α.

Conditions

direction: alpha

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(α) 2.50–55.6 µm: n and k versus wavelength
λ (µm)	n	k
2.5	1.559	0.0
2.5063	1.559	0.0
2.5126	1.559	0.0
2.5189	1.559	0.0
2.5253	1.559	0.0
2.5316	1.559	0.0
2.5381	1.559	0.001
2.5445	1.559	0.001
2.551	1.559	0.001
2.5575	1.559	0.002
2.5641	1.559	0.002
2.5707	1.559	0.002
2.5773	1.559	0.002
2.584	1.559	0.002
2.5907	1.559	0.002
2.5974	1.559	0.002
2.6042	1.559	0.002
2.611	1.559	0.002
2.6178	1.559	0.002
2.6247	1.559	0.001
2.6316	1.559	0.001
2.6385	1.559	0.0
2.6455	1.558	0.0
2.6525	1.558	0.0
2.6596	1.557	0.0
2.6667	1.556	0.0
2.6738	1.556	0.0
2.681	1.555	0.0
2.6882	1.554	0.0
2.6954	1.553	0.0
2.7027	1.552	0.0
2.71	1.551	0.0
2.7174	1.55	0.0
2.7248	1.549	0.0
2.7322	1.547	0.0
2.7397	1.546	0.0
2.7473	1.546	0.0
2.7548	1.544	0.0
2.7624	1.544	0.0
2.7701	1.543	0.001
2.7778	1.543	0.001
2.7855	1.542	0.002
2.7933	1.541	0.003
2.8011	1.541	0.003
2.809	1.541	0.003
2.8169	1.54	0.004
2.8249	1.54	0.004
2.8329	1.54	0.005
2.8409	1.539	0.005
2.849	1.539	0.005
2.8571	1.539	0.006
2.8653	1.538	0.006
2.8736	1.538	0.006
2.8818	1.538	0.006
2.8902	1.537	0.006
2.8986	1.536	0.007
2.907	1.536	0.007
2.9155	1.536	0.007
2.924	1.535	0.008
2.9326	1.535	0.008
2.9412	1.534	0.008
2.9499	1.533	0.008
2.9586	1.533	0.009
2.9674	1.532	0.009
2.9762	1.532	0.01
2.9851	1.531	0.01
2.994	1.53	0.01
3.003	1.53	0.011
3.012	1.529	0.012
3.0211	1.528	0.013
3.0303	1.528	0.013
3.0395	1.528	0.015
3.0488	1.527	0.015
3.0581	1.527	0.016
3.0675	1.527	0.016
3.0769	1.527	0.017
3.0864	1.526	0.017
3.096	1.526	0.018
3.1056	1.526	0.019
3.1153	1.525	0.02
3.125	1.525	0.021
3.1348	1.525	0.022
3.1447	1.525	0.023
3.1546	1.525	0.024
3.1646	1.526	0.025
3.1746	1.526	0.025
3.1847	1.526	0.026
3.1949	1.527	0.027
3.2051	1.527	0.027
3.2154	1.527	0.028
3.2258	1.528	0.028
3.2362	1.528	0.029
3.2468	1.529	0.029
3.2573	1.53	0.029
3.268	1.53	0.029
3.2787	1.531	0.029
3.2895	1.531	0.029
3.3003	1.531	0.028
3.3113	1.531	0.028
3.3223	1.531	0.028
3.3333	1.531	0.028
3.3445	1.531	0.028
3.3557	1.531	0.028
3.367	1.531	0.027
3.3784	1.531	0.028
3.3898	1.531	0.028
3.4014	1.531	0.028
3.413	1.531	0.028
3.4247	1.531	0.028
3.4364	1.531	0.028
3.4483	1.531	0.028
3.4602	1.531	0.028
3.4722	1.531	0.028
3.4843	1.532	0.028
3.4965	1.533	0.028
3.5088	1.533	0.028
3.5211	1.533	0.027
3.5336	1.533	0.027
3.5461	1.534	0.026
3.5587	1.533	0.025
3.5714	1.533	0.025
3.5842	1.533	0.024
3.5971	1.533	0.023
3.6101	1.532	0.023
3.6232	1.532	0.022
3.6364	1.531	0.021
3.6496	1.53	0.021
3.663	1.53	0.021
3.6765	1.53	0.02
3.69	1.529	0.02
3.7037	1.529	0.019
3.7175	1.528	0.019
3.7313	1.527	0.019
3.7453	1.527	0.018
3.7594	1.527	0.018
3.7736	1.526	0.017
3.7879	1.526	0.016
3.8023	1.525	0.015
3.8168	1.524	0.015
3.8314	1.523	0.014
3.8462	1.522	0.013
3.861	1.521	0.012
3.876	1.519	0.012
3.8911	1.518	0.012
3.9063	1.516	0.012
3.9216	1.515	0.012
3.937	1.514	0.011
3.9526	1.512	0.012
3.9683	1.511	0.011
3.9841	1.51	0.012
4.0	1.509	0.012
4.0161	1.507	0.011
4.0323	1.506	0.011
4.0486	1.505	0.011
4.065	1.503	0.011
4.0816	1.502	0.011
4.0984	1.5	0.011
4.1152	1.498	0.012
4.1322	1.496	0.012
4.1494	1.495	0.012
4.1667	1.493	0.013
4.1841	1.491	0.013
4.2017	1.489	0.014
4.2194	1.488	0.015
4.2373	1.486	0.016
4.2553	1.484	0.016
4.2735	1.481	0.018
4.2918	1.481	0.02
4.3103	1.481	0.021
4.329	1.479	0.021
4.3478	1.478	0.022
4.3668	1.476	0.023
4.386	1.474	0.025
4.4053	1.472	0.026
4.4248	1.47	0.028
4.4444	1.468	0.032
4.4643	1.468	0.036
4.4843	1.47	0.038
4.5045	1.472	0.039
4.5249	1.472	0.039
4.5455	1.472	0.04
4.5662	1.471	0.04
4.5872	1.471	0.04
4.6083	1.468	0.041
4.6296	1.465	0.044
4.6512	1.465	0.048
4.6729	1.468	0.053
4.6948	1.472	0.054
4.717	1.474	0.053
4.7393	1.476	0.053
4.7619	1.478	0.051
4.7847	1.478	0.049
4.8077	1.478	0.047
4.8309	1.477	0.046
4.8544	1.476	0.045
4.878	1.475	0.044
4.902	1.472	0.044
4.9261	1.471	0.044
4.9505	1.47	0.046
4.9751	1.471	0.046
5.0	1.47	0.045
5.0251	1.469	0.044
5.0505	1.467	0.045
5.0761	1.467	0.046
5.102	1.467	0.046
5.1282	1.467	0.045
5.1546	1.466	0.043
5.1813	1.465	0.042
5.2083	1.462	0.041
5.2356	1.46	0.041
5.2632	1.458	0.041
5.291	1.456	0.041
5.3191	1.455	0.041
5.3476	1.452	0.041
5.3763	1.45	0.041
5.4054	1.449	0.042
5.4348	1.447	0.041
5.4645	1.445	0.041
5.4945	1.443	0.041
5.5249	1.44	0.042
5.5556	1.438	0.042
5.5866	1.436	0.043
5.618	1.435	0.043
5.6497	1.433	0.043
5.6818	1.43	0.042
5.7143	1.427	0.043
5.7471	1.424	0.044
5.7803	1.422	0.045
5.814	1.42	0.045
5.848	1.418	0.045
5.8824	1.415	0.046
5.9172	1.413	0.047
5.9524	1.411	0.047
5.988	1.409	0.047
6.0241	1.406	0.047
6.0606	1.404	0.046
6.0976	1.4	0.045
6.135	1.396	0.045
6.1728	1.393	0.046
6.2112	1.39	0.047
6.25	1.387	0.046
6.2893	1.384	0.045
6.3291	1.38	0.044
6.3694	1.375	0.043
6.4103	1.37	0.042
6.4516	1.364	0.042
6.4935	1.358	0.04
6.5359	1.352	0.041
6.5789	1.346	0.042
6.6225	1.34	0.041
6.6667	1.334	0.041
6.7114	1.327	0.04
6.7568	1.318	0.039
6.8027	1.31	0.039
6.8493	1.302	0.04
6.8966	1.293	0.039
6.9444	1.283	0.037
6.993	1.271	0.037
7.0423	1.259	0.038
7.0922	1.247	0.038
7.1429	1.234	0.038
7.1942	1.22	0.039
7.2464	1.205	0.038
7.2993	1.188	0.037
7.3529	1.168	0.036
7.4074	1.146	0.036
7.4627	1.122	0.035
7.5188	1.086	0.034
7.5758	1.062	0.033
7.6336	1.02	0.042
7.6923	0.991	0.045
7.7519	0.945	0.037
7.8125	0.869	0.039
7.874	0.787	0.042
7.9365	0.671	0.056
8.0	0.525	0.097
8.0645	0.294	0.199
8.1301	0.152	0.51
8.1967	0.16	0.78
8.2645	0.178	1.027
8.3333	0.201	1.202
8.4034	0.217	1.52
8.4746	0.281	1.885
8.547	0.411	2.403
8.6207	0.782	3.289
8.6957	3.586	4.802
8.7719	4.018	1.063
8.8496	3.155	0.545
8.9286	2.753	0.382
9.009	2.519	0.305
9.0909	2.345	0.256
9.1743	2.226	0.229
9.2593	2.13	0.211
9.3458	2.062	0.2
9.434	2.0	0.188
9.5238	1.952	0.183
9.6154	1.912	0.18
9.7087	1.878	0.172
9.8039	1.83	0.17
9.901	1.836	0.192
10.0	1.808	0.167
10.101	1.786	0.161
10.2041	1.763	0.157
10.3093	1.744	0.156
10.4167	1.73	0.154
10.5263	1.713	0.152
10.6383	1.695	0.148
10.7527	1.684	0.147
10.8696	1.667	0.149
10.989	1.655	0.15
11.1111	1.644	0.148
11.236	1.632	0.144
11.3636	1.623	0.142
11.4943	1.61	0.141
11.6279	1.589	0.139
11.7647	1.578	0.134
11.9048	1.563	0.132
12.0482	1.552	0.132
12.1951	1.538	0.13
12.3457	1.517	0.135
12.5	1.499	0.126
12.6582	1.476	0.121
12.8205	1.45	0.125
12.987	1.429	0.115
13.1579	1.394	0.115
13.3333	1.355	0.113
13.5135	1.306	0.108
13.6986	1.243	0.098
13.8889	1.157	0.087
14.0845	1.001	0.07
14.2857	0.569	0.079
14.4928	0.165	0.844
14.7059	0.319	1.836
14.9254	2.88	3.286
15.1515	2.637	0.591
15.3846	2.198	0.377
15.625	2.012	0.312
15.873	1.911	0.285
16.129	1.845	0.259
16.3934	1.805	0.232
16.6667	1.745	0.197
16.9492	1.695	0.193
17.2414	1.664	0.194
17.5439	1.639	0.189
17.8571	1.609	0.19
18.1818	1.58	0.184
18.5185	1.558	0.182
18.8679	1.525	0.173
19.2308	1.488	0.179
19.6078	1.493	0.222
20.0	1.493	0.183
20.4082	1.462	0.161
20.8333	1.428	0.153
21.2766	1.401	0.146
21.7391	1.37	0.144
22.2222	1.335	0.135
22.7273	1.304	0.123
23.2558	1.255	0.12
23.8095	1.215	0.115
24.3902	1.155	0.115
25.0	1.104	0.115
25.641	1.038	0.106
26.3158	0.947	0.11
27.027	0.843	0.123
27.7778	0.764	0.117
28.5714	0.569	0.145
29.4118	0.426	0.294
30.303	0.34	0.433
31.25	0.269	0.582
32.2581	0.222	0.736
33.3333	0.194	0.895
34.4828	0.202	1.045
35.7143	0.208	1.176
37.037	0.216	1.321
38.4615	0.244	1.474
40.0	0.301	1.633
41.6667	0.398	1.808
43.4783	0.651	1.983
45.4545	1.002	1.782
47.619	0.98	1.498
50.0	0.896	1.335
52.6316	0.748	1.098
55.5556	0.407	0.583

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-alpha.yml
ID: ds_7c8fcf2eb41e
API: /v1/datasets/ds_7c8fcf2eb41e

Plot