Optical constants

Refractive index of Lu (Lutetium)

García-Cortés et al. 2010: n,k 0.0000000827–700500 µm

Data: tabulated nk
Range: 8.266e-08–7.005e+05 µm
Points: 2212
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.0669
Extinction coefficient k: 3.41643

Permittivity ε₁: -7.39987
Permittivity ε₂: 14.1229

Absorption coefficient α: 730634 cm⁻¹
Penetration depth δ = λ/(2πk): 27.3735 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 4.48521 µm⁻¹

Group index n_g: -0.568607
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

# Lu (Lutetium): García-Cortés et al. 2010: n,k 0.0000000827–700500 µm
lu = ls.fetch_refractiveindex("main", "Lu", "Garcia-Cortes", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(lu.range_nm)  # (8.26561e-05, 7.00476e+08) nm
eps = lu.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_899021737a8f/lightsmith"
lu = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(lu.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (lu/garcia-cortes-2010).

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

Density: 9.84 g/cm³. Film deposited at room temperature.

Notes on the source data (kept exactly as published):

n <= 0 at some wavelengths in the source data

References

S. García-Cortés, L. Rodríguez-de Marcos, J. I. Larruquert, J. A. Aznárez, J. A. Méndez, L. Poletto, F. Frassetto, A. M. Malvezzi, A. Giglia, N. Mahne, S. Nannarone. Transmittance and optical constants of Lu films in the 3-1800 eV spectral range. J. Appl. Phys. 108, 063514 (2010) (Numerical data kindly provided by Juan Larruquert)

doi:10.1063/1.3481062 Transmittance and optical constants of Lu films in the 3–1800 eV spectral range, Journal of Applied Physics (2010)

Cite

Sergio García-Cortés et al.. Transmittance and optical constants of Lu films in the 3–1800 eV spectral range. Journal of Applied Physics, 108, 063514 (2010), doi:10.1063/1.3481062; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

2212 rows as published

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

Lu (Lutetium), García-Cortés et al. 2010: n,k 0.0000000827–700500 µm: n and k versus wavelength
λ (µm)	n	k
8.26561e-08	1.0	1.23546e-16
1.23984e-07	1.0	5.00417e-16
1.5498e-07	1.0	1.0806e-15
2.0664e-07	1.0	2.91538e-15
2.47968e-07	1.0	5.46845e-15
3.0996e-07	1.0	1.18086e-14
4.13281e-07	1.0	3.18586e-14
6.19921e-07	1.0	1.29041e-13
8.26561e-07	1.0	3.48144e-13
9.91873e-07	1.0	6.53022e-13
1.23984e-06	1.0	1.41013e-12
1.5498e-06	1.0	3.04504e-12
2.0664e-06	1.0	8.21529e-12
2.47968e-06	0.99999999	1.54096e-11
3.0996e-06	0.99999999	3.32755e-11
4.27366e-06	0.99999998	1.0458e-10
4.56854e-06	0.99999998	1.27617e-10
4.88377e-06	0.99999998	1.57024e-10
5.22075e-06	0.99999997	1.94035e-10
5.58098e-06	0.99999997	2.40749e-10
5.96607e-06	0.99999997	2.99808e-10
6.37773e-06	0.99999996	3.7464e-10
6.81779e-06	0.99999996	4.69608e-10
7.28822e-06	0.99999995	5.9028e-10
7.7911e-06	0.99999994	7.43907e-10
8.32869e-06	0.99999993	9.39716e-10
8.90337e-06	0.99999992	1.18926e-09
9.5177e-06	0.99999991	1.50807e-09
1.01744e-05	0.9999999	1.91112e-09
1.08765e-05	0.99999988	2.42147e-09
1.16269e-05	0.99999987	3.07179e-09
1.24292e-05	0.99999985	3.901e-09
1.32868e-05	0.99999983	4.95902e-09
1.42036e-05	0.9999998	6.30937e-09
1.51836e-05	0.99999977	8.03076e-09
1.62313e-05	0.99999974	1.01888e-08
1.73513e-05	0.99999971	1.29303e-08
1.85485e-05	0.99999967	1.63953e-08
1.91985e-05	0.99999965	1.84823e-08
1.94851e-05	0.99999965	1.94574e-08
1.96021e-05	0.99999964	4.3148e-09
1.96809e-05	0.99999963	4.37631e-09
1.98284e-05	0.99999962	4.49383e-09
1.99821e-05	0.99999962	4.61884e-09
2.11965e-05	0.99999956	5.69988e-09
2.26591e-05	0.99999948	7.24499e-09
2.42226e-05	0.9999994	9.22309e-09
2.58939e-05	0.9999993	1.17599e-08
2.76806e-05	0.99999917	1.49711e-08
2.95906e-05	0.99999899	1.90468e-08
3.16323e-05	0.99999885	2.42475e-08
3.38149e-05	0.9999987	3.0869e-08
3.61482e-05	0.99999854	3.93502e-08
3.86424e-05	0.99999837	5.02263e-08
4.13281e-05	0.99999814	6e-08
4.15617e-05	0.99999812	7e-08
4.17967e-05	0.9999981	7e-08
4.2033e-05	0.99999808	7e-08
4.22707e-05	0.99999806	7e-08
4.25097e-05	0.99999803	7e-08
4.275e-05	0.99999801	7e-08
4.29918e-05	0.99999799	7e-08
4.32348e-05	0.99999797	8e-08
4.34793e-05	0.99999795	8e-08
4.37251e-05	0.99999794	8e-08
4.39723e-05	0.99999792	8e-08
4.4221e-05	0.9999979	8e-08
4.4471e-05	0.99999787	8e-08
4.47224e-05	0.99999786	9e-08
4.49753e-05	0.99999784	9e-08
4.52296e-05	0.99999782	9e-08
4.54853e-05	0.9999978	9e-08
4.57425e-05	0.99999778	9e-08
4.60011e-05	0.99999776	1e-07
4.62612e-05	0.99999774	1e-07
4.65228e-05	0.99999772	1e-07
4.67858e-05	0.99999771	1e-07
4.70503e-05	0.99999768	1e-07
4.73164e-05	0.99999767	1.1e-07
4.75839e-05	0.99999765	1.1e-07
4.78529e-05	0.99999763	1.1e-07
4.81235e-05	0.9999976	1.1e-07
4.83956e-05	0.99999757	1.2e-07
4.86692e-05	0.99999755	1.2e-07
4.89444e-05	0.99999752	1.2e-07
4.92211e-05	0.99999749	1.2e-07
4.94994e-05	0.99999746	1.3e-07
4.97793e-05	0.99999744	1.3e-07
5.00607e-05	0.99999741	1.3e-07
5.03438e-05	0.99999737	1.3e-07
5.06284e-05	0.99999734	1.4e-07
5.09147e-05	0.99999732	1.4e-07
5.12026e-05	0.99999728	1.4e-07
5.14921e-05	0.99999725	1.5e-07
5.17832e-05	0.99999722	1.5e-07
5.2076e-05	0.99999719	1.5e-07
5.23704e-05	0.99999716	1.6e-07
5.26665e-05	0.99999713	1.6e-07
5.29643e-05	0.99999709	1.6e-07
5.32638e-05	0.99999706	1.7e-07
5.35649e-05	0.99999703	1.7e-07
5.38678e-05	0.99999699	1.7e-07
5.41723e-05	0.99999696	1.8e-07
5.44786e-05	0.99999692	1.8e-07
5.47866e-05	0.99999689	1.8e-07
5.50964e-05	0.99999685	1.9e-07
5.54079e-05	0.99999681	1.9e-07
5.57212e-05	0.99999678	2e-07
5.60363e-05	0.99999674	2e-07
5.63531e-05	0.9999967	2e-07
5.66717e-05	0.99999666	2.1e-07
5.69921e-05	0.99999663	2.1e-07
5.73144e-05	0.99999659	2.2e-07
5.76384e-05	0.99999655	2.2e-07
5.79643e-05	0.99999651	2.3e-07
5.8292e-05	0.99999647	2.3e-07
5.86216e-05	0.99999643	2.4e-07
5.89531e-05	0.99999639	2.4e-07
5.92864e-05	0.99999635	2.5e-07
5.96216e-05	0.9999963	2.5e-07
5.99587e-05	0.99999626	2.6e-07
6.02977e-05	0.99999622	2.6e-07
6.06386e-05	0.99999617	2.7e-07
6.09815e-05	0.99999613	2.7e-07
6.13263e-05	0.99999609	2.8e-07
6.1673e-05	0.99999604	2.8e-07
6.20217e-05	0.99999599	2.9e-07
6.23724e-05	0.99999595	3e-07
6.2725e-05	0.9999959	3e-07
6.30797e-05	0.99999585	3.1e-07
6.34364e-05	0.99999581	3.2e-07
6.3795e-05	0.99999576	3.2e-07
6.41557e-05	0.99999571	3.3e-07
6.45185e-05	0.99999566	3.4e-07
6.48832e-05	0.99999561	3.4e-07
6.52501e-05	0.99999556	3.5e-07
6.5619e-05	0.99999551	3.6e-07
6.599e-05	0.99999546	3.7e-07
6.63631e-05	0.99999541	3.7e-07
6.67384e-05	0.99999535	3.8e-07
6.71157e-05	0.9999953	3.9e-07
6.74952e-05	0.99999525	4e-07
6.78768e-05	0.99999519	4e-07
6.82606e-05	0.99999514	4.1e-07
6.86465e-05	0.99999508	4.2e-07
6.90346e-05	0.99999502	4.3e-07
6.9425e-05	0.99999496	4.4e-07
6.98175e-05	0.99999491	4.5e-07
7.02123e-05	0.99999485	4.6e-07
7.06092e-05	0.9999948	4.7e-07
7.10085e-05	0.99999473	4.8e-07
7.14099e-05	0.99999467	4.9e-07
7.18137e-05	0.99999462	5e-07
7.22197e-05	0.99999456	5.1e-07
7.26281e-05	0.9999945	5.2e-07
7.30387e-05	0.99999443	5.3e-07
7.34517e-05	0.99999437	5.4e-07
7.3867e-05	0.9999943	5.5e-07
7.42846e-05	0.99999424	5.6e-07
7.47046e-05	0.99999417	5.7e-07
7.5127e-05	0.99999411	5.9e-07
7.55518e-05	0.99999403	6e-07
7.59789e-05	0.99999397	6.1e-07
7.64085e-05	0.9999939	6.2e-07
7.68405e-05	0.99999383	6.4e-07
7.7275e-05	0.99999377	6.5e-07
7.77119e-05	0.99999368	6.6e-07
7.81513e-05	0.99999361	6.8e-07
7.85932e-05	0.99999355	6.9e-07
7.90375e-05	0.99999347	7e-07
7.94844e-05	0.9999934	7.2e-07
7.99338e-05	0.99999333	7.3e-07
8.03858e-05	0.99999323	7.5e-07
8.08403e-05	0.99999316	7.6e-07
8.12973e-05	0.99999308	7.8e-07
8.1757e-05	0.99999301	7.9e-07
8.22193e-05	0.99999293	8.1e-07
8.26841e-05	0.99999283	8.3e-07
8.31516e-05	0.99999275	8.4e-07
8.36218e-05	0.99999267	8.6e-07
8.40946e-05	0.99999259	8.8e-07
8.457e-05	0.99999251	9e-07
8.50482e-05	0.99999243	9.1e-07
8.55291e-05	0.99999231	9.3e-07
8.60126e-05	0.99999222	9.5e-07
8.6499e-05	0.99999214	9.7e-07
8.6988e-05	0.99999206	9.9e-07
8.74799e-05	0.99999197	1.01e-06
8.79745e-05	0.99999189	1.03e-06
8.84719e-05	0.9999918	1.05e-06
8.89721e-05	0.99999167	1.07e-06
8.94752e-05	0.99999158	1.09e-06
8.99811e-05	0.99999149	1.12e-06
9.04898e-05	0.9999914	1.14e-06
9.10014e-05	0.99999131	1.16e-06
9.1516e-05	0.99999122	1.19e-06
9.20334e-05	0.9999911	1.21e-06
9.25538e-05	0.99999101	1.23e-06
9.30771e-05	0.99999091	1.26e-06
9.36033e-05	0.99999082	1.28e-06
9.41326e-05	0.99999072	1.31e-06
9.46648e-05	0.99999063	1.34e-06
9.52e-05	0.99999053	1.36e-06
9.57383e-05	0.9999904	1.39e-06
9.62796e-05	0.9999903	1.42e-06
9.6824e-05	0.9999902	1.45e-06
9.73714e-05	0.99999011	1.47e-06
9.79219e-05	0.99999	1.5e-06
9.84756e-05	0.9999899	1.53e-06
9.90324e-05	0.9999898	1.56e-06
9.95923e-05	0.99998965	1.59e-06
0.000100155	0.99998954	1.63e-06
0.000100722	0.99998944	1.66e-06
0.000101291	0.99998934	1.69e-06
0.000101864	0.99998923	1.72e-06
0.00010244	0.99998913	1.76e-06
0.000103019	0.99998902	1.79e-06
0.000103601	0.99998887	1.83e-06
0.000104187	0.99998877	1.86e-06
0.000104776	0.99998866	1.9e-06
0.000105369	0.99998855	1.94e-06
0.000105964	0.99998845	1.97e-06
0.000106564	0.99998834	2.01e-06
0.000107166	0.99998823	2.05e-06
0.000107772	0.99998813	2.09e-06
0.000108381	0.99998801	2.13e-06
0.000108994	0.99998791	2.17e-06
0.00010961	0.9999878	2.22e-06
0.00011023	0.99998771	2.26e-06
0.000110853	0.99998761	2.3e-06
0.00011148	0.99998752	2.35e-06
0.00011211	0.99998743	2.39e-06
0.000112744	0.99998733	2.44e-06
0.000113382	0.99998727	2.48e-06
0.000114023	0.99998729	2.53e-06
0.000114668	0.99998718	2.3e-06
0.000115316	0.99998696	2.35e-06
0.000115968	0.99998683	2.41e-06
0.000116624	0.99998672	2.46e-06
0.000117283	0.99998663	2.51e-06
0.000117946	0.99998657	2.57e-06
0.000118613	0.99998654	2.63e-06
0.000119284	0.99998675	2.68e-06
0.000119958	0.99998663	1.95e-06
0.000120636	0.99998615	1.99e-06
0.000121318	0.99998589	2.04e-06
0.000122004	0.99998567	2.08e-06
0.000122694	0.99998547	2.13e-06
0.000123388	0.99998529	2.18e-06
0.000124085	0.99998513	2.22e-06
0.000124787	0.99998496	2.27e-06
0.000125493	0.9999848	2.32e-06
0.000126202	0.99998465	2.37e-06
0.000126916	0.99998451	2.43e-06
0.000127633	0.99998438	2.48e-06
0.000128355	0.99998425	2.53e-06
0.000129081	0.99998414	2.59e-06
0.00012981	0.99998405	2.65e-06
0.000130544	0.99998397	2.7e-06
0.000131283	0.99998393	2.76e-06
0.000132025	0.99998394	2.82e-06
0.000132771	0.99998407	2.89e-06
0.000133522	0.99998473	2.95e-06
0.000134277	0.99998457	1.11e-06
0.000135036	0.99998357	1.13e-06
0.0001358	0.99998306	1.15e-06
0.000136567	0.99998267	1.18e-06
0.00013734	0.99998232	1.2e-06
0.000138116	0.999982	1.22e-06
0.000138897	0.99998169	1.25e-06
0.000139682	0.99998139	1.27e-06
0.000140472	0.9999811	1.3e-06
0.000141266	0.99998082	1.33e-06
0.000142065	0.99998053	1.35e-06
0.000142868	0.99998025	1.38e-06
0.000143676	0.99997997	1.41e-06
0.000144488	0.99997969	1.44e-06
0.000145305	0.99997941	1.47e-06
0.000146127	0.99997916	1.5e-06
0.000146953	0.99997888	1.53e-06
0.000147784	0.9999786	1.56e-06
0.00014862	0.99997831	1.59e-06
0.00014946	0.99997803	1.63e-06
0.000150305	0.99997775	1.66e-06
0.000151155	0.99997746	1.69e-06
0.000152009	0.99997717	1.73e-06
0.000152869	0.99997688	1.76e-06
0.000153733	0.99997658	1.8e-06
0.000154602	0.99997629	1.83e-06
0.000155476	0.99997603	1.87e-06
0.000156356	0.99997573	1.91e-06
0.00015724	0.99997543	1.95e-06
0.000158129	0.99997512	1.99e-06
0.000159023	0.99997482	2.03e-06
0.000159922	0.9999745	2.07e-06
0.000160826	0.99997419	2.11e-06
0.000161735	0.99997387	2.16e-06
0.00016265	0.99997355	2.2e-06
0.000163569	0.99997323	2.24e-06
0.000164494	0.9999729	2.29e-06
0.000165424	0.99997263	2.34e-06
0.00016636	0.9999723	2.38e-06
0.0001673	0.99997196	2.43e-06
0.000168246	0.99997162	2.48e-06
0.000169197	0.99997128	2.53e-06
0.000170154	0.99997093	2.58e-06
0.000171116	0.99997058	2.64e-06
0.000172084	0.99997023	2.69e-06
0.000173057	0.99996987	2.74e-06
0.000174035	0.9999695	2.8e-06
0.000175019	0.99996914	2.86e-06
0.000176009	0.99996877	2.91e-06
0.000177004	0.99996839	2.97e-06
0.000178005	0.9999681	3.03e-06
0.000179011	0.99996772	3.09e-06
0.000180023	0.99996734	3.16e-06
0.000181041	0.99996695	3.22e-06
0.000182065	0.99996656	3.29e-06
0.000183094	0.99996616	3.35e-06
0.000184129	0.99996576	3.42e-06
0.00018517	0.99996535	3.49e-06
0.000186217	0.99996494	3.56e-06
0.00018727	0.99996452	3.63e-06
0.000188329	0.99996411	3.71e-06
0.000189394	0.99996368	3.78e-06
0.000190465	0.99996326	3.86e-06
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0.044882546	1.1404793	0.16612263
0.045084198	1.1414386	0.15976227
0.045290971	1.1419285	0.1536261
0.045499484	1.1419588	0.1471214
0.045707486	1.1412672	0.14093416
0.045920814	1.1401717	0.13526042
0.046133322	1.139406	0.13045907
0.046349312	1.1394593	0.12557866
0.046567555	1.1405227	0.12012293
0.046785592	1.1422919	0.11277072
0.047009264	1.1432838	0.10221184
0.047231296	1.1408481	0.088788913
0.047458347	1.1333435	0.07571611
0.047687139	1.122529	0.066566203
0.04791675	1.1113656	0.061505729
0.048148922	1.1013172	0.058837212
0.048383962	1.0925064	0.057330189
0.048620434	1.0846609	0.056396392
0.048861617	1.0774593	0.055904933
0.049102186	1.0709218	0.055642794
0.04934716	1.0647763	0.05557401
0.049593157	1.0590368	0.055634977
0.049838438	1.0536785	0.055802062
0.050097645	1.0483229	0.056018273
0.050350197	1.0433624	0.056341031
0.05060613	1.0385887	0.056711103
0.050866055	1.0339557	0.057125192
0.051127414	1.0294875	0.057572004
0.051391845	1.0251221	0.058030684
0.051659452	1.0208669	0.05855171
0.051932077	1.0166401	0.059019066
0.052198864	1.0126087	0.059594353
0.052483472	1.0084603	0.06016924
0.052759884	1.0045149	0.060718465
0.053041829	1.0005322	0.061261227
0.053324899	0.99658641	0.061881745
0.053616472	0.99261377	0.062541263
0.053905379	0.9887608	0.063200054
0.054200944	0.98480511	0.063795704
0.054498455	0.9808239	0.064562604
0.054800474	0.97691295	0.065395161
0.055102798	0.97303332	0.066132857
0.055413725	0.96898721	0.06695701
0.055722604	0.96503519	0.06795098
0.056036605	0.96108752	0.068923813
0.056356339	0.95720728	0.070108761
0.057665082	0.94157391	0.074044611
0.059041622	0.92492201	0.078745
0.060479917	0.90748705	0.08466
0.061990414	0.88976718	0.092255

Showing 2,000 of 2212 rows. Download the CSV for all of them.

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: —

Lu (Lutetium): all datasets

García-Cortés et al. 2010: n,k 0.0000000827–700500 µm n,k 8.266e-08–7.005e+05 µm default

About Lu (Lutetium)

Lutetium is a silvery-white metal and the last element in the lanthanide series. While it's not as widely known or used as some other rare earth elements, it has found niche applications in the modern technological and scientific domains. Optically, lutetium aluminate (LuAlO₃) and lutetium orthosilicate (LSO) are two materials containing lutetium that are frequently employed in scintillator applications, particularly in positron emission tomography (PET) imaging. The high atomic number of lutetium contributes to its effective detection of gamma rays.

More about Lu (Lutetium) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Lu/nk/Garcia-Cortes.yml
ID: ds_899021737a8f
API: /v1/datasets/ds_899021737a8f

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