Optical constants

Refractive index of Mn (Manganese)

Johnson and Christy 1974: n,k 0.188–1.937 µm

Data: tabulated nk
Range: 0.188–1.937 µm
Points: 49
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.4764
Extinction coefficient k: 3.4476

Permittivity ε₁: -5.75339
Permittivity ε₂: 17.0753

Absorption coefficient α: 737301 cm⁻¹
Penetration depth δ = λ/(2πk): 27.126 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 1.14286 µm⁻¹

Group index n_g: 1.80486
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

# Mn (Manganese): Johnson and Christy 1974: n,k 0.188–1.937 µm
mn = ls.fetch_refractiveindex("main", "Mn", "Johnson", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mn.range_nm)  # (188, 1937) nm
eps = mn.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_0f10b92b7d6f/lightsmith"
mn = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mn.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (mn/johnson-christy-1974).

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

Room temperature

References

P. B. Johnson and R. W. Christy. Optical constants of transition metals: Ti, V, Cr, Mn, Fe, Co, Ni, and Pd. Phys. Rev. B 9, 5056-5070 (1974)

doi:10.1103/physrevb.9.5056 Optical constants of transition metals: Ti, V, Cr, Mn, Fe, Co, Ni, and Pd, Physical Review B (1974)

Cite

P. Johnson and R. Christy. Optical constants of transition metals: Ti, V, Cr, Mn, Fe, Co, Ni, and Pd. Physical Review B, 9, 5056-5070 (1974), doi:10.1103/physrevb.9.5056; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

49 rows as published

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

Mn (Manganese), Johnson and Christy 1974: n,k 0.188–1.937 µm: n and k versus wavelength
λ (µm)	n	k
0.188	1.48	1.47
0.192	1.55	1.5
0.195	1.59	1.52
0.199	1.62	1.55
0.203	1.63	1.58
0.207	1.67	1.61
0.212	1.7	1.64
0.216	1.72	1.67
0.221	1.73	1.7
0.226	1.74	1.73
0.231	1.78	1.76
0.237	1.81	1.79
0.243	1.82	1.82
0.249	1.82	1.86
0.255	1.83	1.91
0.262	1.84	1.94
0.269	1.85	1.99
0.276	1.86	2.03
0.284	1.85	2.08
0.292	1.85	2.14
0.301	1.86	2.19
0.311	1.86	2.25
0.32	1.86	2.32
0.332	1.86	2.38
0.342	1.87	2.45
0.354	1.89	2.51
0.368	1.89	2.59
0.381	1.92	2.67
0.397	1.96	2.74
0.413	2.0	2.82
0.431	2.06	2.9
0.451	2.11	2.98
0.471	2.19	3.06
0.496	2.25	3.14
0.521	2.32	3.23
0.549	2.39	3.33
0.582	2.47	3.43
0.617	2.51	3.54
0.659	2.56	3.65
0.704	2.62	3.78
0.756	2.7	3.91
0.821	2.83	4.03
0.892	2.97	4.18
0.984	3.1	4.35
1.088	3.3	4.53
1.216	3.48	4.74
1.393	3.65	5.02
1.61	3.78	5.41
1.937	3.89	5.95

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: —

Mn (Manganese): all datasets

About Mn (Manganese)

Manganese (Mn) is a transition metal with a silvery-gray appearance. It's essential in the steel industry, where it is used primarily as an alloying agent, enhancing strength, hardness, and wear resistance. In terms of optical applications, manganese can be used as a dopant in various phosphorescent and fluorescent materials, altering their luminescent properties. For instance, manganese-doped zinc sulfide is a popular phosphor, emitting a distinct orange-red light upon excitation.

More about Mn (Manganese) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Mn/nk/Johnson.yml
ID: ds_0f10b92b7d6f
API: /v1/datasets/ds_0f10b92b7d6f

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