Optical constants

Refractive index of Mg (Magnesium)

Hagemann et al. 1974: n,k 0.0000248–24.8 µm

Data: tabulated nk
Range: 2.48e-05–24.8 µm
Points: 140
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.351045
Extinction coefficient k: 5.41481

Permittivity ε₁: -29.1969
Permittivity ε₂: 3.80168

Absorption coefficient α: 1.15801e+06 cm⁻¹
Penetration depth δ = λ/(2πk): 17.271 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 0.958374 µm⁻¹

Group index n_g: -0.212096
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

# Mg (Magnesium): Hagemann et al. 1974: n,k 0.0000248–24.8 µm
mg = ls.fetch_refractiveindex("main", "Mg", "Hagemann", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mg.range_nm)  # (0.0248, 24800) nm
eps = mg.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_36e8ff8ad0c2/lightsmith"
mg = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mg.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (mg/hagemann-1974).

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

1) H.-J. Hagemann, W. Gudat, and C. Kunz. Optical constants from the far infrared to the x-ray region: Mg, Al, Cu, Ag, Au, Bi, C, and Al₂O₃. J. Opt. Soc. Am. 65, 742-744 (1975)
2) H.-J. Hagemann, W. Gudat, and C. Kunz. DESY report SR-74/7 (1974)

doi:10.1364/josa.65.000742 Optical constants from the far infrared to the x-ray region: Mg, Al, Cu, Ag, Au, Bi, C, and Al_2O_3, Journal of the Optical Society of America (1975)

Cite

H.-J. Hagemann, W. Gudat and C. Kunz. Optical constants from the far infrared to the x-ray region: Mg, Al, Cu, Ag, Au, Bi, C, and Al_2O_3. Journal of the Optical Society of America, 65, 742 (1975), doi:10.1364/josa.65.000742; H.-J. Hagemann, W. Gudat, and C. Kunz. DESY report SR-74/7 (1974); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

140 rows as published

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

Mg (Magnesium), Hagemann et al. 1974: n,k 0.0000248–24.8 µm: n and k versus wavelength
λ (µm)	n	k
2.48e-05	1.0	5.38e-11
3.1e-05	1.0	1.35e-10
4.133e-05	1.0	4.8e-10
6.199e-05	1.001	2.04e-09
0.000124	1.0	3.33e-08
0.000155	1.0	8.27e-08
0.0002066	0.9999	2.75e-07
0.00031	0.9998	1.19e-06
0.0006199	0.9999	1.75e-05
0.0008266	1.0	4.76e-05
0.0009537	1.0	1.5e-05
0.000984	1.0	8.15e-06
0.0009919	0.9999	7.09e-06
0.001033	1.0	8.94e-06
0.00124	0.9999	1.86e-05
0.00155	0.9996	4.41e-05
0.002066	0.999	0.000139
0.00248	0.9987	0.000266
0.002755	0.9984	0.000375
0.0031	0.9977	0.000542
0.003542	0.9974	0.000811
0.004133	0.9963	0.00125
0.004959	0.9948	0.00215
0.006199	0.9923	0.00407
0.006888	0.9911	0.0053
0.007749	0.9891	0.00711
0.008266	0.9881	0.00816
0.008551	0.9871	0.00885
0.008856	0.986	0.01
0.009184	0.9849	0.0116
0.009537	0.9846	0.0135
0.009919	0.9847	0.0152
0.01033	0.9846	0.0166
0.01078	0.9841	0.0177
0.01127	0.9829	0.0193
0.01181	0.9815	0.0225
0.0124	0.9815	0.0268
0.01305	0.9838	0.031
0.01378	0.986	0.033
0.01393	0.9867	0.0337
0.01409	0.987	0.0334
0.01425	0.987	0.0334
0.01442	0.987	0.0336
0.01476	0.988	0.0345
0.01512	0.988	0.0352
0.0155	0.987	0.036
0.0159	0.986	0.0374
0.01631	0.984	0.0414
0.01675	0.986	0.0475
0.01722	0.992	0.0526
0.01771	1.0	0.0533
0.01823	1.005	0.0503
0.01879	1.008	0.0458
0.01937	1.008	0.0432
0.02	1.008	0.0414
0.02066	1.008	0.0409
0.02101	1.008	0.041
0.02138	1.009	0.0408
0.02175	1.01	0.0409
0.02214	1.011	0.0418
0.02234	1.012	0.0412
0.02254	1.013	0.0406
0.02275	1.013	0.0398
0.02296	1.014	0.0401
0.02317	1.015	0.0407
0.02339	1.017	0.0393
0.02362	1.018	0.0388
0.02384	1.019	0.0376
0.02407	1.02	0.0372
0.02431	1.021	0.0358
0.02455	1.023	0.0379
0.0248	1.03	0.0417
0.0249	1.04	0.0418
0.025	1.05	0.0338
0.0251	1.053	0.0106
0.0252	1.04	0.00492
0.0253	1.033	0.00492
0.02556	1.023	0.00496
0.02583	1.018	0.00502
0.02695	1.004	0.00597
0.02818	0.997	0.00686
0.02952	0.989	0.00736
0.031	0.982	0.00884
0.03263	0.975	0.0102
0.03444	0.967	0.0114
0.03647	0.959	0.0141
0.03875	0.95	0.0154
0.04133	0.939	0.0169
0.04428	0.924	0.0196
0.04769	0.906	0.0252
0.05166	0.885	0.033
0.05636	0.861	0.0454
0.06199	0.833	0.0592
0.06888	0.798	0.0731
0.07749	0.741	0.0792
0.08266	0.692	0.0916
0.08856	0.644	0.111
0.09537	0.577	0.127
0.1033	0.477	0.145
0.1078	0.404	0.158
0.1127	0.293	0.176
0.1181	0.11	0.296
0.124	0.0723	0.499
0.1305	0.0691	0.647
0.1378	0.0717	0.787
0.1459	0.0858	0.926
0.155	0.115	1.06
0.1653	0.155	1.19
0.1698	0.171	1.23
0.1746	0.184	1.27
0.1797	0.194	1.31
0.1851	0.199	1.35
0.1907	0.197	1.39
0.1968	0.187	1.44
0.2033	0.166	1.49
0.2101	0.14	1.56
0.2175	0.121	1.64
0.2214	0.112	1.74
0.248	0.111	2.0
0.31	0.132	2.63
0.4133	0.184	3.66
0.6199	0.382	5.74
0.8266	0.791	7.96
1.24	2.997	12.8
1.378	4.776	14.5
1.55	8.269	15.5
1.771	11.2	10.2
1.907	8.809	8.98
2.066	6.056	9.33
2.254	4.194	12.2
2.48	4.509	14.7
2.755	5.056	16.8
3.1	6.069	19.5
3.542	7.519	22.2
4.133	9.516	25.1
4.959	12.3	28.8
6.199	15.2	32.6
8.266	18.9	37.6
12.4	23.8	48.8
24.8	30.3	60.2

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: —

Mg (Magnesium): all datasets

About Mg (Magnesium)

Magnesium (Mg) is a lightweight, silvery-white alkaline earth metal that is commonly found in nature, often in the form of minerals like dolomite and magnesite. Optically, magnesium is mostly utilized for its reflective properties. Its alloy forms, particularly with aluminum, are used to produce ultralight mirrors for astronomical instruments. Furthermore, these magnesium alloys are beneficial in the fabrication of mobile electronic devices, cameras, and lightweight vehicles due to their low density. In its pure form, magnesium is quite reactive, but the formation of an oxide layer on its surface helps protect it from further reactions in ambient conditions. Magnesium's potential for optical applications is limited but noteworthy in specific niches.

More about Mg (Magnesium) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Mg/nk/Hagemann.yml
ID: ds_36e8ff8ad0c2
API: /v1/datasets/ds_36e8ff8ad0c2

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