Optical constants

Refractive index of Ne (Neon)

Cuthbertson and Cuthbertson 1936: n 0.289–0.546 µm

Data: formula 6
Range: 0.2894–0.5462 µm
Temperature: 273.15 K
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.00007
Extinction coefficient k: 0

Permittivity ε₁: 1.00014
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -5.00217e-06 µm⁻¹

Group index n_g: 1.00007
Group velocity dispersion: 0.00429195 fs²/mm

Dispersion parameter D: -0.0510375 ps/(nm·km)
Photon energy: 3.11518 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

# Ne (Neon): Cuthbertson and Cuthbertson 1936: n 0.289–0.546 µm
ne = ls.fetch_refractiveindex("main", "Ne", "Cuthbertson", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ne.range_nm)  # (289.4, 546.2) nm
eps = ne.eps([398])  # 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_d64184c44a58/lightsmith"
ne = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ne.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (ne/cuthbertson-cuthbertson-1936).

# ... load ne as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ne)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=546, 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.

Dispersion formula

Gases (formula 6), λ in µm

n - 1 = \frac{0.02907388}{435.71376 - λ^{−2}}

Valid from 0.2894 to 0.5462 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	0.02907388
C3	435.71376

Comments and conditions

Standard conditions: 0 °C, 760 torr (101.325 kPa).

Conditions

temperature: 273.15 K
pressure: 101325

References

1) C. Cuthbertson and M. Cuthbertson. The refraction and dispersion of neon and helium. Proc. R. Soc. London A 135, 40-47 (1936)

2) C. Cuthbertson and M. Cuthbertson. On the refraction and dispersion of neon. Proc. R. Soc. London A 83, 149-151 (1910)
* Ref. 1 doesn't cite gas temperature and pressure. See the earlier publication by the same authors (ref. 2) instead.

doi:10.1098/rspa.1932.0019 The refraction and dispersion of neon and helium, Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character (1932)
doi:10.1098/rspa.1910.0001 On the refraction and dispersion of neon, Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character (1910)

Cite

Clive Cuthbertson and Maude Cuthbertson. The refraction and dispersion of neon and helium. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 135, 40-47 (1932), doi:10.1098/rspa.1932.0019; Clive Cuthbertson and Maude Cuthbertson. On the refraction and dispersion of neon. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 83, 149-151 (1910), doi:10.1098/rspa.1910.0001; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 wavelengths, the same grid as the API and the library

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

Ne (Neon), Cuthbertson and Cuthbertson 1936: n 0.289–0.546 µm: n and k versus wavelength
λ (µm)	n
0.2894	1.000069
0.289861	1.000069
0.290323	1.000069
0.290785	1.000069
0.291249	1.000069
0.291713	1.000069
0.292177	1.000069
0.292643	1.000069
0.293109	1.000069
0.293576	1.000069
0.294044	1.000069
0.294512	1.000069
0.294982	1.000069
0.295452	1.000069
0.295922	1.000069
0.296394	1.000069
0.296866	1.000069
0.297339	1.000069
0.297813	1.000068
0.298287	1.000068
0.298762	1.000068
0.299238	1.000068
0.299715	1.000068
0.300192	1.000068
0.300671	1.000068
0.30115	1.000068
0.30163	1.000068
0.30211	1.000068
0.302591	1.000068
0.303074	1.000068
0.303556	1.000068
0.30404	1.000068
0.304524	1.000068
0.30501	1.000068
0.305495	1.000068
0.305982	1.000068
0.30647	1.000068
0.306958	1.000068
0.307447	1.000068
0.307937	1.000068
0.308427	1.000068
0.308919	1.000068
0.309411	1.000068
0.309904	1.000068
0.310398	1.000068
0.310892	1.000068
0.311387	1.000068
0.311884	1.000068
0.31238	1.000068
0.312878	1.000068
0.313377	1.000068
0.313876	1.000068
0.314376	1.000068
0.314877	1.000068
0.315378	1.000068
0.315881	1.000068
0.316384	1.000068
0.316888	1.000068
0.317393	1.000068
0.317899	1.000068
0.318405	1.000068
0.318913	1.000068
0.319421	1.000068
0.31993	1.000068
0.320439	1.000068
0.32095	1.000068
0.321461	1.000068
0.321973	1.000068
0.322486	1.000068
0.323	1.000068
0.323515	1.000068
0.32403	1.000068
0.324546	1.000068
0.325063	1.000068
0.325581	1.000068
0.3261	1.000068
0.326619	1.000068
0.32714	1.000068
0.327661	1.000068
0.328183	1.000068
0.328706	1.000068
0.32923	1.000068
0.329754	1.000068
0.330279	1.000068
0.330806	1.000068
0.331333	1.000068
0.331861	1.000068
0.332389	1.000068
0.332919	1.000068
0.333449	1.000068
0.33398	1.000068
0.334513	1.000068
0.335045	1.000068
0.335579	1.000068
0.336114	1.000068
0.336649	1.000068
0.337186	1.000068
0.337723	1.000068
0.338261	1.000068
0.3388	1.000068
0.33934	1.000068
0.33988	1.000068
0.340422	1.000068
0.340964	1.000068
0.341507	1.000068
0.342051	1.000068
0.342596	1.000068
0.343142	1.000068
0.343689	1.000068
0.344236	1.000068
0.344785	1.000068
0.345334	1.000068
0.345884	1.000068
0.346435	1.000068
0.346987	1.000068
0.34754	1.000068
0.348094	1.000068
0.348649	1.000068
0.349204	1.000068
0.34976	1.000068
0.350318	1.000068
0.350876	1.000068
0.351435	1.000068
0.351995	1.000068
0.352555	1.000068
0.353117	1.000068
0.35368	1.000068
0.354243	1.000068
0.354807	1.000068
0.355373	1.000068
0.355939	1.000068
0.356506	1.000068
0.357074	1.000068
0.357643	1.000068
0.358213	1.000068
0.358783	1.000068
0.359355	1.000068
0.359927	1.000068
0.360501	1.000068
0.361075	1.000068
0.361651	1.000068
0.362227	1.000068
0.362804	1.000068
0.363382	1.000068
0.363961	1.000068
0.364541	1.000068
0.365121	1.000068
0.365703	1.000068
0.366286	1.000068
0.366869	1.000068
0.367454	1.000068
0.368039	1.000068
0.368626	1.000068
0.369213	1.000068
0.369801	1.000068
0.37039	1.000068
0.37098	1.000068
0.371571	1.000068
0.372163	1.000068
0.372756	1.000068
0.37335	1.000068
0.373945	1.000068
0.374541	1.000068
0.375137	1.000068
0.375735	1.000068
0.376334	1.000068
0.376933	1.000068
0.377534	1.000068
0.378135	1.000068
0.378738	1.000068
0.379341	1.000068
0.379946	1.000068
0.380551	1.000068
0.381157	1.000068
0.381764	1.000068
0.382373	1.000068
0.382982	1.000068
0.383592	1.000068
0.384203	1.000068
0.384815	1.000068
0.385428	1.000068
0.386042	1.000068
0.386657	1.000068
0.387273	1.000068
0.38789	1.000068
0.388508	1.000068
0.389127	1.000068
0.389747	1.000068
0.390368	1.000068
0.39099	1.000068
0.391613	1.000068
0.392237	1.000068
0.392862	1.000068
0.393488	1.000068
0.394115	1.000068
0.394743	1.000068
0.395371	1.000068
0.396001	1.000068
0.396632	1.000068
0.397264	1.000068
0.397897	1.000068
0.398531	1.000068
0.399166	1.000068
0.399802	1.000068
0.400439	1.000068
0.401077	1.000068
0.401716	1.000068
0.402356	1.000068
0.402997	1.000068
0.403639	1.000068
0.404282	1.000068
0.404926	1.000068
0.405571	1.000068
0.406217	1.000068
0.406865	1.000068
0.407513	1.000068
0.408162	1.000068
0.408812	1.000068
0.409464	1.000068
0.410116	1.000068
0.410769	1.000068
0.411424	1.000068
0.412079	1.000068
0.412736	1.000068
0.413393	1.000068
0.414052	1.000068
0.414712	1.000068
0.415372	1.000068
0.416034	1.000068
0.416697	1.000068
0.417361	1.000068
0.418026	1.000068
0.418692	1.000068
0.419359	1.000068
0.420027	1.000068
0.420696	1.000068
0.421366	1.000068
0.422038	1.000068
0.42271	1.000068
0.423383	1.000068
0.424058	1.000068
0.424734	1.000068
0.42541	1.000068
0.426088	1.000068
0.426767	1.000068
0.427447	1.000068
0.428128	1.000068
0.42881	1.000068
0.429493	1.000068
0.430177	1.000068
0.430863	1.000068
0.431549	1.000068
0.432237	1.000068
0.432925	1.000068
0.433615	1.000068
0.434306	1.000068
0.434998	1.000068
0.435691	1.000068
0.436385	1.000068
0.43708	1.000068
0.437777	1.000068
0.438474	1.000068
0.439173	1.000068
0.439872	1.000068
0.440573	1.000068
0.441275	1.000068
0.441978	1.000068
0.442682	1.000068
0.443387	1.000068
0.444094	1.000068
0.444801	1.000068
0.44551	1.000068
0.44622	1.000068
0.446931	1.000068
0.447643	1.000068
0.448356	1.000067
0.44907	1.000067
0.449786	1.000067
0.450502	1.000067
0.45122	1.000067
0.451939	1.000067
0.452659	1.000067
0.45338	1.000067
0.454102	1.000067
0.454826	1.000067
0.45555	1.000067
0.456276	1.000067
0.457003	1.000067
0.457731	1.000067
0.458461	1.000067
0.459191	1.000067
0.459923	1.000067
0.460655	1.000067
0.461389	1.000067
0.462124	1.000067
0.46286	1.000067
0.463598	1.000067
0.464337	1.000067
0.465076	1.000067
0.465817	1.000067
0.466559	1.000067
0.467303	1.000067
0.468047	1.000067
0.468793	1.000067
0.46954	1.000067
0.470288	1.000067
0.471037	1.000067
0.471788	1.000067
0.472539	1.000067
0.473292	1.000067
0.474046	1.000067
0.474801	1.000067
0.475558	1.000067
0.476315	1.000067
0.477074	1.000067
0.477834	1.000067
0.478596	1.000067
0.479358	1.000067
0.480122	1.000067
0.480887	1.000067
0.481653	1.000067
0.48242	1.000067
0.483189	1.000067
0.483959	1.000067
0.48473	1.000067
0.485502	1.000067
0.486275	1.000067
0.48705	1.000067
0.487826	1.000067
0.488603	1.000067
0.489382	1.000067
0.490161	1.000067
0.490942	1.000067
0.491725	1.000067
0.492508	1.000067
0.493293	1.000067
0.494078	1.000067
0.494866	1.000067
0.495654	1.000067
0.496444	1.000067
0.497235	1.000067
0.498027	1.000067
0.49882	1.000067
0.499615	1.000067
0.500411	1.000067
0.501208	1.000067
0.502007	1.000067
0.502807	1.000067
0.503608	1.000067
0.50441	1.000067
0.505214	1.000067
0.506018	1.000067
0.506825	1.000067
0.507632	1.000067
0.508441	1.000067
0.509251	1.000067
0.510062	1.000067
0.510875	1.000067
0.511689	1.000067
0.512504	1.000067
0.51332	1.000067
0.514138	1.000067
0.514957	1.000067
0.515778	1.000067
0.5166	1.000067
0.517423	1.000067
0.518247	1.000067
0.519073	1.000067
0.5199	1.000067
0.520728	1.000067
0.521558	1.000067
0.522388	1.000067
0.523221	1.000067
0.524054	1.000067
0.524889	1.000067
0.525725	1.000067
0.526563	1.000067
0.527402	1.000067
0.528242	1.000067
0.529084	1.000067
0.529927	1.000067
0.530771	1.000067
0.531617	1.000067
0.532464	1.000067
0.533312	1.000067
0.534162	1.000067
0.535013	1.000067
0.535865	1.000067
0.536719	1.000067
0.537574	1.000067
0.53843	1.000067
0.539288	1.000067
0.540147	1.000067
0.541008	1.000067
0.54187	1.000067
0.542733	1.000067
0.543598	1.000067
0.544464	1.000067
0.545331	1.000067
0.5462	1.000067

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: —

Ne (Neon): all datasets

About Ne (Neon)

Neon (Ne) is a noble gas that is colorless, odorless, and inert under standard conditions. It is the fifth most abundant element in the universe. Neon's most familiar use is perhaps in neon signs, where it produces a characteristic bright reddish-orange glow when electricity is applied. This luminescence in neon lighting results from the excitation of neon atoms, which then release a photon as they return to their ground state. Additionally, due to its inertness, neon is used in some types of gas lasers, such as helium-neon (He-Ne) lasers, where it serves as the lasing medium to produce a coherent red light. The low refractive index of neon gas is also of interest in certain optical applications.

More about Ne (Neon) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Ne/nk/Cuthbertson.yml
ID: ds_d64184c44a58
API: /v1/datasets/ds_d64184c44a58

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