Optical constants

Refractive index of Mo (Molybdenum)

Ordal et al. 1988: n,k 0.667–154 µm

Data: tabulated nk
Range: 0.667–154 µm
Points: 50
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 12.3567
Extinction coefficient k: 56.302

Permittivity ε₁: -3017.23
Permittivity ε₂: 1391.42

Absorption coefficient α: 700507 cm⁻¹
Penetration depth δ = λ/(2πk): 28.5507 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 2.24292 µm⁻¹

Group index n_g: -10.2968
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 0.122757 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

# Mo (Molybdenum): Ordal et al. 1988: n,k 0.667–154 µm
mo = ls.fetch_refractiveindex("main", "Mo", "Ordal", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mo.range_nm)  # (667, 154000) nm
eps = mo.eps([10100])  # 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_7927b6b12206/lightsmith"
mo = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mo.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (mo/ordal-1988).

# ... load mo as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mo)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=667, 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

M. A. Ordal, R. J. Bell, R. W. Alexander, L. A. Newquist, M. R. Querry. Optical properties of Al, Fe, Ti, Ta, W, and Mo at submillimeter wavelengths. Appl. Opt. 27, 1203-1209 (1988)

doi:10.1364/ao.27.001203 Optical properties of Al, Fe, Ti, Ta, W, and Mo at submillimeter wavelengths, Applied Optics (1988)

Cite

Mark A. Ordal, Robert J. Bell, Ralph W. Alexander, Lawrence A. Newquist and Marvin R. Querry. Optical properties of Al, Fe, Ti, Ta, W, and Mo at submillimeter wavelengths. Applied Optics, 27, 1203 (1988), doi:10.1364/ao.27.001203; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

50 rows as published

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

Mo (Molybdenum), Ordal et al. 1988: n,k 0.667–154 µm: n and k versus wavelength
λ (µm)	n	k
0.667	3.736186	3.591222
0.714	3.8159832	3.5417088
0.769	3.7771262	3.4266289
0.833	3.4879914	3.2991627
0.909	2.9807157	3.4956418
1.0	2.5372515	3.9968299
1.05	2.3419619	4.3245235
1.11	2.1691522	4.7136001
1.18	2.0338468	5.1486289
1.25	1.9061057	5.6230394
1.33	1.7797564	6.1751066
1.43	1.7014062	6.7993804
1.54	1.6167352	7.4926629
1.67	1.5124883	8.2838453
1.82	1.4476138	9.2513402
2.0	1.3787354	10.396535
2.11	1.3419643	11.06412
2.22	1.324614	11.821314
2.35	1.335824	12.667669
2.5	1.3719253	13.607095
2.67	1.4347181	14.654142
2.86	1.5147128	15.828837
3.08	1.6006395	17.177196
3.33	1.729625	18.769452
3.64	1.9643186	20.649783
4.0	2.2903056	22.850789
4.44	2.714248	25.500166
5.0	3.3460153	28.788898
5.71	4.3080595	32.92614
6.67	5.7374219	38.275608
8.0	8.0417701	45.5231
10.0	12.132436	55.822815
11.1	14.599652	61.094152
12.5	17.948846	67.549462
14.3	22.52774	75.010773
16.7	28.406166	84.122793
20.0	36.663706	95.659355
22.2	42.092997	102.66741
25.0	48.760817	110.79
28.6	57.122067	120.35199
33.3	67.891603	131.81545
40.0	82.241906	145.83988
44.4	91.33097	154.08616
50.0	102.1264	163.32577
57.1	114.9495	173.65334
66.7	129.77236	186.39648
80.0	148.54398	202.91175
100.0	173.64793	224.74485
125.0	200.43914	248.88501
154.0	227.5746	276.1872

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: —

Mo (Molybdenum): all datasets

Experimental data

Models and simulations

Werner et al. 2009: DFT calculations; n,k 0.0176–2.48 µm n,k 0.01759–2.48 µm

About Mo (Molybdenum)

Molybdenum (Mo) is a silver-white, hard, transition metal. Known for its high melting points, strength, and resistance to corrosion, especially at high temperatures, it is invaluable in applications that demand materials capable of withstanding intense heat, such as in the production of furnace equipment and as filaments for light bulbs. In optics, molybdenum mirrors are favored for their robustness and durability, especially in high-power laser applications. The metal's reflective properties make it suitable for use as a coating for certain wavelengths, particularly in the deep ultraviolet spectral region.

More about Mo (Molybdenum) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Mo/nk/Ordal.yml
ID: ds_7927b6b12206
API: /v1/datasets/ds_7927b6b12206

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