Optical constants

Refractive index of TiN (Titanium nitride)

Schnabel et al. 2018: n,k 0.292–0.809 µm

Data: tabulated nk
Range: 0.2916–0.8091 µm
Points: 327
State: gas
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.887375
Extinction coefficient k: 2.01625

Permittivity ε₁: -3.27783
Permittivity ε₂: 3.57834

Absorption coefficient α: 431194 cm⁻¹
Penetration depth δ = λ/(2πk): 46.3829 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 0.625 µm⁻¹

Group index n_g: 0.520125
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

# TiN (Titanium nitride): Schnabel et al. 2018: n,k 0.292–0.809 µm
tin = ls.fetch_refractiveindex("main", "TiN", "Schnabel", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tin.range_nm)  # (291.6, 809.1) nm
eps = tin.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_617c8646aff9/lightsmith"
tin = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(tin.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (tin/schnabel-2018).

# ... load tin as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=tin)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=809, 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

Reactive magnetron sputtering; Ar/N₂ gas mixture of 10/1; negative bias potential: 100 V; substrate temperature: 400°C

References

V. Schnabel, R. Spolenak, M. Döbeli, H. Galinski. Structural color sensors with thermal memory: Measuring functional properties of Ti-based nitrides by eye. Adv. Opt. Mater. 6, 1800656 (2018)

doi:10.1002/adom.201800656 Structural Color Sensors with Thermal Memory: Measuring Functional Properties of Ti‐Based Nitrides by Eye, Advanced Optical Materials (2018)

Cite

Volker Schnabel, Ralph Spolenak, Max Doebeli and Henning Galinski. Structural Color Sensors with Thermal Memory: Measuring Functional Properties of Ti‐Based Nitrides by Eye. Advanced Optical Materials, 6, 1800656 (2018), doi:10.1002/adom.201800656; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

327 rows as published

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

TiN (Titanium nitride), Schnabel et al. 2018: n,k 0.292–0.809 µm: n and k versus wavelength
λ (µm)	n	k
0.2916	2.373	1.055
0.2932	2.381	1.049
0.2948	2.36	1.058
0.2963	2.342	1.06
0.2979	2.33	1.069
0.2995	2.333	1.061
0.3011	2.321	1.057
0.3027	2.316	1.066
0.3043	2.311	1.066
0.3059	2.305	1.074
0.3075	2.294	1.059
0.3091	2.287	1.074
0.3107	2.278	1.073
0.3123	2.272	1.074
0.3139	2.257	1.067
0.3154	2.26	1.065
0.317	2.261	1.066
0.3186	2.245	1.08
0.3202	2.251	1.078
0.3218	2.243	1.075
0.3234	2.236	1.074
0.325	2.232	1.074
0.3266	2.226	1.067
0.3282	2.226	1.062
0.3298	2.216	1.07
0.3314	2.216	1.076
0.3329	2.218	1.07
0.3345	2.205	1.065
0.3361	2.21	1.062
0.3377	2.198	1.065
0.3393	2.198	1.061
0.3409	2.197	1.073
0.3425	2.191	1.061
0.3441	2.19	1.053
0.3457	2.177	1.056
0.3473	2.177	1.057
0.3489	2.179	1.055
0.3505	2.167	1.052
0.352	2.168	1.042
0.3536	2.165	1.046
0.3552	2.153	1.036
0.3568	2.145	1.036
0.3584	2.152	1.026
0.36	2.148	1.026
0.3616	2.135	1.018
0.3632	2.13	1.011
0.3648	2.124	1.015
0.3664	2.124	1.013
0.3679	2.113	1.009
0.3695	2.112	1.007
0.3711	2.104	1.0
0.3727	2.103	0.988
0.3743	2.093	0.98
0.3759	2.082	0.982
0.3775	2.071	0.979
0.3791	2.064	0.969
0.3807	2.06	0.965
0.3823	2.046	0.96
0.3838	2.039	0.953
0.3854	2.034	0.95
0.387	2.018	0.942
0.3886	2.015	0.941
0.3902	1.998	0.932
0.3918	1.989	0.929
0.3934	1.979	0.928
0.395	1.964	0.925
0.3966	1.959	0.921
0.3981	1.947	0.912
0.3997	1.937	0.906
0.4013	1.92	0.908
0.4029	1.907	0.908
0.4045	1.894	0.904
0.4061	1.886	0.903
0.4077	1.875	0.898
0.4093	1.858	0.896
0.4109	1.841	0.894
0.4124	1.831	0.896
0.414	1.818	0.898
0.4156	1.804	0.899
0.4172	1.791	0.898
0.4188	1.778	0.895
0.4204	1.765	0.898
0.422	1.749	0.898
0.4236	1.739	0.901
0.4252	1.724	0.906
0.4267	1.708	0.909
0.4283	1.695	0.907
0.4299	1.683	0.909
0.4315	1.664	0.912
0.4331	1.652	0.916
0.4347	1.637	0.92
0.4363	1.621	0.926
0.4379	1.605	0.934
0.4394	1.591	0.936
0.441	1.578	0.941
0.4426	1.563	0.944
0.4442	1.549	0.949
0.4458	1.535	0.955
0.4474	1.519	0.963
0.449	1.503	0.971
0.4506	1.49	0.979
0.4521	1.474	0.988
0.4537	1.462	0.994
0.4553	1.449	0.999
0.4569	1.434	1.008
0.4585	1.422	1.014
0.4601	1.407	1.027
0.4617	1.392	1.037
0.4632	1.379	1.049
0.4648	1.364	1.058
0.4664	1.354	1.068
0.468	1.342	1.079
0.4696	1.329	1.09
0.4712	1.316	1.099
0.4728	1.305	1.107
0.4744	1.295	1.122
0.4759	1.283	1.132
0.4775	1.272	1.146
0.4791	1.262	1.157
0.4807	1.251	1.172
0.4823	1.239	1.184
0.4839	1.228	1.197
0.4855	1.22	1.206
0.487	1.21	1.22
0.4886	1.201	1.233
0.4902	1.193	1.246
0.4918	1.183	1.259
0.4934	1.173	1.27
0.495	1.164	1.286
0.4966	1.155	1.3
0.4982	1.148	1.313
0.4997	1.141	1.326
0.5013	1.133	1.337
0.5029	1.125	1.349
0.5045	1.116	1.364
0.5061	1.11	1.376
0.5077	1.103	1.392
0.5093	1.095	1.403
0.5108	1.089	1.417
0.5124	1.085	1.434
0.514	1.076	1.445
0.5156	1.07	1.454
0.5172	1.07	1.467
0.5188	1.06	1.48
0.5204	1.053	1.499
0.5219	1.049	1.512
0.5235	1.045	1.516
0.5251	1.044	1.523
0.5267	1.039	1.534
0.5283	1.033	1.546
0.5299	1.027	1.563
0.5315	1.02	1.578
0.533	1.015	1.588
0.5346	1.008	1.606
0.5362	1.006	1.62
0.5378	0.999	1.63
0.5394	0.996	1.644
0.541	0.992	1.655
0.5426	0.988	1.667
0.5442	0.983	1.681
0.5457	0.981	1.69
0.5473	0.972	1.706
0.5489	0.97	1.717
0.5505	0.965	1.728
0.5521	0.962	1.742
0.5537	0.959	1.754
0.5553	0.956	1.77
0.5568	0.952	1.781
0.5584	0.948	1.791
0.56	0.943	1.805
0.5616	0.94	1.818
0.5632	0.938	1.831
0.5648	0.933	1.837
0.5664	0.93	1.851
0.568	0.927	1.862
0.5695	0.922	1.876
0.5711	0.92	1.889
0.5727	0.917	1.904
0.5743	0.914	1.915
0.5759	0.91	1.926
0.5775	0.904	1.938
0.5791	0.899	1.95
0.5807	0.899	1.962
0.5822	0.895	1.974
0.5838	0.894	1.984
0.5854	0.89	1.998
0.587	0.887	2.011
0.5886	0.888	2.025
0.5902	0.883	2.034
0.5918	0.882	2.049
0.5933	0.879	2.06
0.5949	0.874	2.074
0.5965	0.874	2.088
0.5981	0.872	2.098
0.5997	0.867	2.108
0.6013	0.867	2.12
0.6029	0.863	2.133
0.6045	0.858	2.145
0.606	0.859	2.156
0.6076	0.855	2.17
0.6092	0.852	2.178
0.6108	0.852	2.191
0.6124	0.847	2.199
0.614	0.847	2.215
0.6156	0.845	2.226
0.6172	0.843	2.238
0.6187	0.843	2.249
0.6203	0.837	2.26
0.6219	0.835	2.274
0.6235	0.833	2.284
0.6251	0.834	2.299
0.6267	0.829	2.309
0.6283	0.83	2.326
0.6299	0.826	2.333
0.6314	0.825	2.343
0.633	0.821	2.353
0.6346	0.821	2.37
0.6362	0.819	2.381
0.6378	0.821	2.398
0.6394	0.819	2.404
0.641	0.818	2.414
0.6426	0.816	2.428
0.6442	0.817	2.437
0.6457	0.813	2.455
0.6473	0.812	2.464
0.6489	0.81	2.473
0.6505	0.809	2.484
0.6521	0.805	2.498
0.6537	0.808	2.513
0.6553	0.804	2.517
0.6569	0.8	2.533
0.6584	0.806	2.547
0.66	0.804	2.562
0.6616	0.8	2.57
0.6632	0.801	2.579
0.6648	0.797	2.589
0.6664	0.796	2.603
0.668	0.798	2.619
0.6696	0.797	2.625
0.6712	0.796	2.636
0.6727	0.798	2.648
0.6743	0.803	2.66
0.6759	0.794	2.674
0.6775	0.793	2.68
0.6791	0.793	2.698
0.6807	0.79	2.706
0.6823	0.792	2.72
0.6839	0.793	2.727
0.6855	0.794	2.735
0.687	0.791	2.752
0.6886	0.794	2.761
0.6902	0.79	2.777
0.6918	0.786	2.788
0.6934	0.783	2.792
0.695	0.785	2.809
0.6966	0.787	2.819
0.6981	0.784	2.826
0.6997	0.791	2.843
0.7013	0.786	2.851
0.7029	0.789	2.868
0.7045	0.786	2.872
0.7061	0.785	2.883
0.7077	0.788	2.899
0.7093	0.788	2.909
0.7109	0.782	2.918
0.7125	0.785	2.935
0.714	0.787	2.943
0.7156	0.797	2.959
0.7172	0.791	2.965
0.7188	0.795	2.972
0.7204	0.792	2.98
0.722	0.792	3.001
0.7236	0.789	2.993
0.7252	0.79	3.017
0.7267	0.786	3.028
0.7283	0.792	3.03
0.7299	0.787	3.04
0.7315	0.782	3.06
0.7331	0.792	3.075
0.7347	0.786	3.078
0.7363	0.79	3.094
0.7378	0.785	3.101
0.7394	0.792	3.11
0.741	0.788	3.119
0.7426	0.789	3.137
0.7442	0.8	3.146
0.7458	0.793	3.158
0.7474	0.799	3.171
0.749	0.795	3.188
0.7505	0.796	3.18
0.7521	0.798	3.183
0.7537	0.795	3.217
0.7553	0.801	3.222
0.7569	0.795	3.234
0.7585	0.792	3.233
0.7601	0.796	3.246
0.7616	0.797	3.248
0.7632	0.8	3.273
0.7648	0.8	3.283
0.7664	0.796	3.307
0.768	0.794	3.306
0.7696	0.799	3.317
0.7711	0.8	3.327
0.7727	0.793	3.326
0.7743	0.805	3.348
0.7759	0.806	3.353
0.7775	0.803	3.363
0.7791	0.809	3.365
0.7806	0.815	3.387
0.7822	0.804	3.394
0.7838	0.811	3.411
0.7854	0.807	3.414
0.787	0.812	3.441
0.7886	0.818	3.445
0.7901	0.811	3.445
0.7917	0.824	3.482
0.7933	0.807	3.485
0.7949	0.805	3.49
0.7965	0.823	3.494
0.798	0.817	3.497
0.7996	0.821	3.515
0.8012	0.82	3.539
0.8028	0.822	3.538
0.8044	0.819	3.546
0.8059	0.825	3.554
0.8075	0.812	3.552
0.8091	0.832	3.579

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: —

TiN (Titanium nitride): all datasets

About TiN (Titanium nitride)

Titanium nitride (TiN) is a hard ceramic material characterized by its golden appearance. Due to its high hardness and resistance to wear, TiN is commonly used as a coating on tools, such as drill bits and end mills, to extend their life and improve their performance. The coating also exhibits a low coefficient of friction, which reduces galling and seizing. Moreover, its corrosion resistance makes it suitable for biomedical applications, such as coatings on surgical instruments and orthopedic implants. In electronics, TiN serves as a barrier layer between metals in integrated circuits. It's typically deposited using physical vapor deposition (PVD) or chemical vapor deposition (CVD) techniques. Additionally, its metallic luster and gold hue make it a popular decorative coating for architectural and consumer products.

More about TiN (Titanium nitride) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/TiN/nk/Schnabel.yml
ID: ds_617c8646aff9
API: /v1/datasets/ds_617c8646aff9

Plot