Optical constants

Refractive index of Mo (Molybdenum)

Querry 1987: n,k 0.206–167 µm

Data: tabulated nk
Range: 0.2063–166.7 µm
Points: 314
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 4.99898
Extinction coefficient k: 3.7077

Permittivity ε₁: 11.2428
Permittivity ε₂: 37.0694

Absorption coefficient α: 792926 cm⁻¹
Penetration depth δ = λ/(2πk): 25.223 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -1.45 µm⁻¹

Group index n_g: 5.851
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

# Mo (Molybdenum): Querry 1987: n,k 0.206–167 µm
mo = ls.fetch_refractiveindex("main", "Mo", "Querry", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mo.range_nm)  # (206.3, 166667) nm
eps = mo.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_29e2ffc1bb73/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/querry-1987).

# ... 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=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

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

314 rows as published

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

Mo (Molybdenum), Querry 1987: n,k 0.206–167 µm: n and k versus wavelength
λ (µm)	n	k
0.2063	1.664	3.595
0.2134	1.772	3.822
0.221	1.965	4.088
0.24	2.54	4.498
0.26	3.219	4.808
0.28	4.085	4.802
0.3	4.686	4.273
0.32	4.738	3.797
0.34	4.671	3.584
0.36	4.589	3.487
0.38	4.507	3.488
0.4	4.466	3.561
0.42	4.474	3.666
0.44	4.531	3.779
0.46	4.632	3.879
0.48	4.769	3.94
0.5	4.915	3.946
0.52	5.042	3.886
0.54	5.093	3.781
0.56	5.057	3.707
0.58	5.01	3.702
0.6	4.981	3.717
0.62	4.964	3.741
0.64	4.956	3.759
0.66	4.939	3.77
0.68	4.919	3.787
0.7	4.901	3.788
0.72	4.861	3.784
0.74	4.808	3.786
0.76	4.741	3.789
0.78	4.656	3.798
0.8	4.559	3.823
0.82	4.469	3.867
0.84	4.368	3.903
0.86	4.242	3.948
0.88	4.112	4.023
0.9	3.976	4.115
0.92	3.857	4.232
0.94	3.738	4.349
0.96	3.621	4.492
0.98	3.529	4.638
1.0	3.441	4.783
1.02	3.348	4.932
1.04	3.271	5.102
1.06	3.205	5.263
1.08	3.144	5.434
1.1	3.095	5.594
1.12	3.038	5.756
1.14	2.997	5.926
1.16	2.955	6.088
1.18	2.917	6.265
1.2	2.914	6.429
1.22	2.884	6.571
1.24	2.858	6.728
1.26	2.835	6.878
1.28	2.808	7.034
1.3	2.792	7.188
1.32	2.773	7.337
1.34	2.756	7.489
1.36	2.742	7.635
1.38	2.722	7.777
1.4	2.697	7.928
1.42	2.686	8.077
1.44	2.663	8.223
1.46	2.649	8.377
1.48	2.635	8.524
1.5	2.622	8.677
1.52	2.617	8.823
1.54	2.601	8.965
1.56	2.581	9.116
1.58	2.571	9.271
1.6	2.565	9.424
1.62	2.562	9.572
1.64	2.559	9.714
1.66	2.544	9.856
1.68	2.542	10.008
1.7	2.547	10.142
1.72	2.515	10.278
1.74	2.506	10.442
1.76	2.507	10.581
1.78	2.492	10.73
1.8	2.499	10.88
1.82	2.477	10.999
1.84	2.457	11.173
1.86	2.453	11.317
1.88	2.44	11.483
1.9	2.439	11.635
1.92	2.432	11.795
1.94	2.45	11.959
1.96	2.456	12.094
1.98	2.456	12.25
2.0	2.452	12.408
2.02	2.474	12.561
2.04	2.476	12.703
2.06	2.494	12.838
2.08	2.488	12.979
2.1	2.493	13.128
2.12	2.496	13.269
2.14	2.506	13.432
2.16	2.528	13.544
2.18	2.49	13.682
2.2	2.495	13.858
2.22	2.516	14.014
2.24	2.532	14.153
2.26	2.536	14.275
2.28	2.508	14.415
2.3	2.518	14.578
2.32	2.5	14.721
2.34	2.516	14.904
2.36	2.521	15.04
2.38	2.531	15.212
2.4	2.545	15.341
2.42	2.517	15.512
2.44	2.53	15.729
2.46	2.605	15.891
2.48	2.629	16.038
2.5	2.693	16.193
2.5126	2.715	16.268
2.5253	2.725	16.343
2.5381	2.748	16.434
2.551	2.76	16.512
2.5641	2.782	16.6
2.5773	2.791	16.683
2.5907	2.797	16.772
2.6042	2.8	16.862
2.6178	2.816	16.955
2.6316	2.828	17.053
2.6455	2.835	17.148
2.6596	2.848	17.247
2.6738	2.858	17.352
2.6882	2.871	17.455
2.7027	2.884	17.556
2.7174	2.896	17.658
2.7322	2.909	17.763
2.7473	2.923	17.874
2.7624	2.942	17.983
2.7778	2.96	18.093
2.7933	2.977	18.199
2.809	2.995	18.321
2.8249	3.021	18.427
2.8409	3.04	18.542
2.8571	3.057	18.651
2.8736	3.079	18.761
2.8902	3.098	18.878
2.907	3.109	18.986
2.924	3.14	19.107
2.9412	3.156	19.216
2.9586	3.186	19.337
2.9762	3.205	19.458
2.994	3.22	19.579
3.012	3.244	19.7
3.0303	3.256	19.817
3.0488	3.296	19.953
3.0675	3.326	20.073
3.0864	3.346	20.201
3.1056	3.363	20.319
3.125	3.391	20.452
3.1447	3.423	20.582
3.1646	3.444	20.713
3.1847	3.461	20.834
3.2051	3.484	20.975
3.2258	3.509	21.102
3.2468	3.527	21.231
3.268	3.558	21.376
3.2895	3.58	21.516
3.3113	3.589	21.659
3.3333	3.628	21.814
3.3557	3.658	22.961
3.3784	3.675	22.112
3.4014	3.714	22.264
3.4247	3.742	22.428
3.4483	3.766	22.584
3.4722	3.802	22.751
3.4965	3.841	22.908
3.5211	3.869	23.075
3.5461	3.919	23.24
3.5714	3.94	23.391
3.5971	3.995	23.571
3.6232	4.035	23.731
3.6496	4.077	23.897
3.6765	4.128	24.065
3.7037	4.138	24.209
3.7313	4.198	24.404
3.7594	4.226	24.58
3.7879	4.273	24.759
3.8168	4.307	24.93
3.8462	4.359	25.125
3.876	4.383	25.293
3.9063	4.442	25.484
3.937	4.467	25.681
3.9683	4.527	25.875
4.0	4.56	26.075
4.0323	4.605	26.28
4.065	4.669	26.483
4.0984	4.705	26.665
4.1322	4.735	26.886
4.1667	4.805	27.107
4.2017	4.85	27.317
4.2373	4.906	27.527
4.2735	4.96	27.762
4.3103	5.027	27.974
4.3478	5.064	28.196
4.386	5.093	28.426
4.4248	5.174	28.676
4.4643	5.247	28.903
4.5045	5.291	29.147
4.5455	5.35	29.403
4.5872	5.415	29.642
4.6296	5.461	29.898
4.6729	5.537	30.165
4.717	5.6	30.436
4.7619	5.689	30.701
4.8077	5.728	30.946
4.8544	5.797	31.234
4.902	5.897	31.53
4.9505	5.926	31.791
5.0	6.035	32.109
5.0505	6.113	32.424
5.102	6.217	32.726
5.1546	6.29	33.031
5.2083	6.369	33.309
5.2632	6.485	33.642
5.3191	6.597	33.962
5.3763	6.681	34.294
5.4348	6.776	34.612
5.4945	6.897	34.952
5.5556	7.012	35.273
5.618	7.041	35.565
5.6818	7.146	35.953
5.7471	7.277	36.314
5.814	7.353	36.681
5.8824	7.488	37.049
5.9524	7.58	37.46
6.0241	7.71	37.814
6.0976	7.788	38.245
6.1728	7.905	38.673
6.25	7.995	39.09
6.3291	8.123	39.547
6.4103	8.266	39.987
6.4935	8.379	40.467
6.5789	8.565	40.949
6.6667	8.705	41.44
6.7568	8.892	41.92
6.8493	9.04	42.428
6.9444	9.239	42.933
7.0423	9.363	43.39
7.1429	9.585	43.939
7.2464	9.725	44.433
7.3529	9.969	45.024
7.4627	10.119	45.541
7.5758	10.364	46.13
7.6923	10.543	46.71
7.8125	10.642	47.265
7.9365	10.927	47.933
8.0645	11.159	48.557
8.1967	11.328	49.202
8.3333	11.49	49.836
8.4746	11.765	50.553
8.6207	11.968	51.283
8.7719	12.152	52.062
8.9286	12.326	52.834
9.0909	12.679	53.717
9.2593	12.91	54.532
9.434	13.326	55.446
9.6154	13.558	56.272
9.8039	13.827	57.178
10.0	14.303	58.194
10.2041	14.71	59.27
10.4167	15.134	60.378
10.6383	15.659	61.458
10.8696	16.063	62.521
11.1111	16.699	63.777
11.3636	17.197	65.003
11.6279	17.893	66.212
11.9048	18.365	67.382
12.1951	18.931	68.711
12.5	19.407	70.022
12.8205	20.254	71.547
13.1579	20.937	73.06
13.5135	21.596	74.678
13.8889	22.224	76.257
14.2857	23.269	78.029
14.7059	23.882	79.911
15.1515	24.7	81.81
15.625	25.775	83.928
16.129	26.743	86.06
16.6667	27.701	88.382
17.2414	28.936	90.926
17.8571	30.208	93.528
18.5185	31.645	96.363
19.2308	32.727	99.426
20.0	34.74	102.832
20.8333	36.981	106.221
21.7391	38.991	110.066
22.7273	41.626	113.817
23.8095	44.375	118.213
25.0	47.637	122.492
26.3158	50.94	127.025
27.7778	54.173	132.141
29.4118	59.095	137.739
31.25	64.492	143.513
33.3333	70.243	148.866
35.7143	76.393	154.672
38.4615	83.143	161.135
41.6667	90.723	168.463
45.4545	99.422	176.285
50.0	109.253	185.161
55.5556	120.296	195.235
62.5	133.668	206.346
71.4286	149.632	219.334
83.3333	168.749	235.684
100.0	192.784	255.525
125.0	224.631	283.514
166.6667	270.096	322.395

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/Querry.yml
ID: ds_29e2ffc1bb73
API: /v1/datasets/ds_29e2ffc1bb73

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