Optical constants

Refractive index of MgAl₂O₄ (Magnesium aluminate, spinel)

Chernova et al. 2017: n,k 0.14–1.67 µm

Data: tabulated nk
Range: 0.1409–1.675 µm
Points: 100
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.71338
Extinction coefficient k: 9.39116e-13

Permittivity ε₁: 2.93568
Permittivity ε₂: 3.21813e-12

Absorption coefficient α: 2.00839e-07 cm⁻¹
Penetration depth δ = λ/(2πk): 9.95824e+13 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.0558899 µm⁻¹

Group index n_g: 1.74622
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

# MgAl2O4 (Magnesium aluminate, spinel): Chernova et al. 2017: n,k 0.14–1.67 µm
mgal2o4 = ls.fetch_refractiveindex("main", "MgAl2O4", "Chernova", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mgal2o4.range_nm)  # (140.89, 1675.5) nm
eps = mgal2o4.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_16125bb87170/lightsmith"
mgal2o4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mgal2o4.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (mgal2o4/chernova-2017).

# ... load mgal2o4 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mgal2o4)],
    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

MgAl2O4, magnesium aluminate spinel (MAS)

References

E. Chernova, C. Brooks, D. Chvostova, Z. Bryknar, A. Dejneka, M. Tyunina. Optical NIR-VIS-VUV constants of advanced substrates for thin-film devices. Opt. Mater. Express 7, 3844–3862 (2017)
[Calculation script (Python)]

doi:10.1364/ome.7.003844 Optical NIR-VIS-VUV constants of advanced substrates for thin-film devices, Optical Materials Express (2017)

Cite

E. Chernova et al.. Optical NIR-VIS-VUV constants of advanced substrates for thin-film devices. Optical Materials Express, 7, 3844 (2017), doi:10.1364/ome.7.003844; [Calculation script (Python)]; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

100 rows as published

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

MgAl2O4 (Magnesium aluminate, spinel), Chernova et al. 2017: n,k 0.14–1.67 µm: n and k versus wavelength
λ (µm)	n	k
0.14089	2.22	0.51961
0.14221	2.2003	0.48161
0.14355	2.1714	0.46322
0.14491	2.1465	0.47182
0.14631	2.1462	0.50377
0.14772	2.1862	0.53757
0.14917	2.2613	0.54317
0.15065	2.3458	0.50233
0.15215	2.4095	0.41915
0.15369	2.4339	0.31448
0.15525	2.4177	0.21304
0.15685	2.3731	0.13226
0.15849	2.3165	0.07771
0.16015	2.2608	0.04545
0.16185	2.2124	0.027789
0.16359	2.172	0.01804
0.16537	2.1382	0.012211
0.16719	2.1093	0.008384
0.16904	2.0841	0.0057324
0.17094	2.0618	0.0038702
0.17288	2.0418	0.0025726
0.17486	2.0236	0.0016825
0.1769	2.0071	0.0010825
0.17897	1.992	0.00068534
0.1811	1.978	0.00042726
0.18328	1.9651	0.00026218
0.18552	1.9531	0.00015838
0.1878	1.9418	9.4211e-05
0.19015	1.9313	5.5207e-05
0.19255	1.9214	3.1888e-05
0.19502	1.912	1.817e-05
0.19755	1.9032	1.0228e-05
0.20014	1.8948	5.6987e-06
0.20281	1.8868	3.1531e-06
0.20555	1.8792	1.7427e-06
0.20836	1.8719	9.6734e-07
0.21125	1.865	5.4426e-07
0.21422	1.8583	3.1397e-07
0.21728	1.8519	1.88e-07
0.22042	1.8458	1.1804e-07
0.22366	1.84	7.809e-08
0.22699	1.8343	5.4302e-08
0.23043	1.8289	3.9374e-08
0.23397	1.8237	2.9459e-08
0.23762	1.8187	2.2523e-08
0.24139	1.8138	1.7451e-08
0.24527	1.8091	1.3624e-08
0.24929	1.8046	1.0679e-08
0.25344	1.8003	8.3835e-09
0.25773	1.796	6.5831e-09
0.26216	1.792	5.1662e-09
0.26675	1.788	4.0499e-09
0.27151	1.7842	3.1706e-09
0.27644	1.7806	2.4785e-09
0.28155	1.777	1.9348e-09
0.28685	1.7736	1.5081e-09
0.29236	1.7702	1.1735e-09
0.29808	1.767	9.1171e-10
0.30403	1.7639	7.0715e-10
0.31023	1.7609	5.4759e-10
0.31668	1.758	4.2334e-10
0.3234	1.7551	3.2674e-10
0.33042	1.7524	2.5177e-10
0.33775	1.7498	1.9369e-10
0.34541	1.7472	1.4879e-10
0.35342	1.7447	1.1412e-10
0.36182	1.7423	8.7388e-11
0.37063	1.74	6.6808e-11
0.37987	1.7378	5.0991e-11
0.38959	1.7356	3.8855e-11
0.39982	1.7335	2.956e-11
0.4106	1.7315	2.2451e-11
0.42198	1.7295	1.7024e-11
0.434	1.7277	1.2888e-11
0.44673	1.7259	9.7427e-12
0.46023	1.7241	7.354e-12
0.47458	1.7224	5.5419e-12
0.48984	1.7208	4.1695e-12
0.50612	1.7192	3.1318e-12
0.52352	1.7177	2.3486e-12
0.54216	1.7163	1.7584e-12
0.56217	1.7149	1.3143e-12
0.58372	1.7136	9.8083e-13
0.60698	1.7123	7.3076e-13
0.63218	1.7111	5.4364e-13
0.65956	1.7099	4.0386e-13
0.68942	1.7088	2.9953e-13
0.72211	1.7078	2.2179e-13
0.75806	1.7068	1.6396e-13
0.79777	1.7058	1.2101e-13
0.84187	1.7049	8.9167e-14
0.89113	1.7041	6.5595e-14
0.94652	1.7033	4.8176e-14
1.0092	1.7026	3.5325e-14
1.0809	1.7019	2.5862e-14
1.1635	1.7012	1.8908e-14
1.2597	1.7006	1.38e-14
1.3733	1.7001	1.0054e-14
1.5094	1.6996	7.3113e-15
1.6755	1.6991	5.305e-15

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: —

MgAl₂O₄ (Magnesium aluminate, spinel): all datasets

About MgAl2O4 (Magnesium aluminate, spinel)

Magnesium aluminium oxide, commonly known as spinel (MgAl₂O₄), is a transparent ceramic material with a cubic crystal structure. Spinel possesses excellent optical transparency from the ultraviolet to the mid-infrared range, making it valuable for various optical applications. This material is notably durable, resistant to attack from harsh environments, and can withstand high temperatures. These characteristics make it ideal for protective windows in specific high-stress applications. Moreover, due to its favorable mechanical properties and refractive index, spinel is being considered for anti-reflective coatings and other advanced optical devices. Additionally, its non-birefringent nature is a plus in certain optical scenarios. Mineral: Spinel

Spinel - Wikipedia

More about MgAl2O4 (Magnesium aluminate, spinel) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/MgAl2O4/nk/Chernova.yml
ID: ds_16125bb87170
API: /v1/datasets/ds_16125bb87170

Plot