Optical constants

Refractive index of C₂H₄ (Ethylene)

Loria 1909: Gas at 0 °C; n 0.523–0.668 µm

Data: formula 5
Range: 0.523–0.6677 µm
Temperature: 273.15 K
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: 1.00066
Extinction coefficient k: 0

Permittivity ε₁: 1.00131
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -9.17725e-05 µm⁻¹

Group index n_g: 1.00071
Group velocity dispersion: 0.168336 fs²/mm

Dispersion parameter D: -0.91836 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

# C2H4 (Ethylene): Loria 1909: Gas at 0 °C; n 0.523–0.668 µm
c2h4 = ls.fetch_refractiveindex("organic", "ethylene", "Loria", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c2h4.range_nm)  # (523, 667.7) nm
eps = c2h4.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_c849d5d7f9f7/lightsmith"
c2h4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c2h4.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (ethylene/loria-1909).

# ... load c2h4 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c2h4)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=523, stop_nm=667, 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

Cauchy (formula 5), λ in µm

n = 1.0006303 + 9.309531 \times 10^{-6} λ^{- 2.0}

Valid from 0.523 to 0.6677 µm.

Coefficients as stored

C_i	Value
C1	1.0006303
C2	9.309531e-06
C3	-2.0

Comments and conditions

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

Conditions

temperature: 273.15 K
pressure: 101325

References

S. Loria. Über die Dispersion des Lichtes in gasförmigen Kohlenwasserstoffen. Annalen der Physik 334, 605-622 (1909) (in German).

doi:10.1002/andp.19093340809 Über die Dispersion des Lichtes in gasförmigen Kohlenwasserstoffen, Annalen der Physik (1909)

Cite

Stanisław Loria. Über die Dispersion des Lichtes in gasförmigen Kohlenwasserstoffen. Annalen der Physik, 334, 605-622 (1909), doi:10.1002/andp.19093340809; 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

C2H4 (Ethylene), Loria 1909: Gas at 0 °C; n 0.523–0.668 µm: n and k versus wavelength
λ (µm)	n
0.523	1.000664
0.52332	1.000664
0.523641	1.000664
0.523961	1.000664
0.524282	1.000664
0.524603	1.000664
0.524925	1.000664
0.525246	1.000664
0.525568	1.000664
0.525889	1.000664
0.526211	1.000664
0.526534	1.000664
0.526856	1.000664
0.527179	1.000664
0.527502	1.000664
0.527825	1.000664
0.528148	1.000664
0.528471	1.000664
0.528795	1.000664
0.529119	1.000664
0.529443	1.000664
0.529767	1.000663
0.530091	1.000663
0.530416	1.000663
0.530741	1.000663
0.531066	1.000663
0.531391	1.000663
0.531716	1.000663
0.532042	1.000663
0.532368	1.000663
0.532694	1.000663
0.53302	1.000663
0.533346	1.000663
0.533673	1.000663
0.534	1.000663
0.534327	1.000663
0.534654	1.000663
0.534981	1.000663
0.535309	1.000663
0.535637	1.000663
0.535965	1.000663
0.536293	1.000663
0.536621	1.000663
0.53695	1.000663
0.537279	1.000663
0.537608	1.000663
0.537937	1.000662
0.538266	1.000662
0.538596	1.000662
0.538926	1.000662
0.539256	1.000662
0.539586	1.000662
0.539917	1.000662
0.540247	1.000662
0.540578	1.000662
0.540909	1.000662
0.54124	1.000662
0.541572	1.000662
0.541903	1.000662
0.542235	1.000662
0.542567	1.000662
0.542899	1.000662
0.543232	1.000662
0.543565	1.000662
0.543897	1.000662
0.54423	1.000662
0.544564	1.000662
0.544897	1.000662
0.545231	1.000662
0.545565	1.000662
0.545899	1.000662
0.546233	1.000662
0.546568	1.000661
0.546902	1.000661
0.547237	1.000661
0.547572	1.000661
0.547908	1.000661
0.548243	1.000661
0.548579	1.000661
0.548915	1.000661
0.549251	1.000661
0.549587	1.000661
0.549924	1.000661
0.550261	1.000661
0.550598	1.000661
0.550935	1.000661
0.551272	1.000661
0.55161	1.000661
0.551947	1.000661
0.552285	1.000661
0.552624	1.000661
0.552962	1.000661
0.553301	1.000661
0.553639	1.000661
0.553978	1.000661
0.554318	1.000661
0.554657	1.000661
0.554997	1.000661
0.555337	1.00066
0.555677	1.00066
0.556017	1.00066
0.556357	1.00066
0.556698	1.00066
0.557039	1.00066
0.55738	1.00066
0.557722	1.00066
0.558063	1.00066
0.558405	1.00066
0.558747	1.00066
0.559089	1.00066
0.559431	1.00066
0.559774	1.00066
0.560117	1.00066
0.56046	1.00066
0.560803	1.00066
0.561146	1.00066
0.56149	1.00066
0.561834	1.00066
0.562178	1.00066
0.562522	1.00066
0.562866	1.00066
0.563211	1.00066
0.563556	1.00066
0.563901	1.00066
0.564246	1.00066
0.564592	1.00066
0.564938	1.000659
0.565284	1.000659
0.56563	1.000659
0.565976	1.000659
0.566323	1.000659
0.56667	1.000659
0.567017	1.000659
0.567364	1.000659
0.567711	1.000659
0.568059	1.000659
0.568407	1.000659
0.568755	1.000659
0.569103	1.000659
0.569452	1.000659
0.5698	1.000659
0.570149	1.000659
0.570498	1.000659
0.570848	1.000659
0.571197	1.000659
0.571547	1.000659
0.571897	1.000659
0.572247	1.000659
0.572598	1.000659
0.572948	1.000659
0.573299	1.000659
0.57365	1.000659
0.574001	1.000659
0.574353	1.000659
0.574705	1.000658
0.575057	1.000658
0.575409	1.000658
0.575761	1.000658
0.576114	1.000658
0.576466	1.000658
0.576819	1.000658
0.577173	1.000658
0.577526	1.000658
0.57788	1.000658
0.578234	1.000658
0.578588	1.000658
0.578942	1.000658
0.579297	1.000658
0.579651	1.000658
0.580006	1.000658
0.580361	1.000658
0.580717	1.000658
0.581072	1.000658
0.581428	1.000658
0.581784	1.000658
0.582141	1.000658
0.582497	1.000658
0.582854	1.000658
0.583211	1.000658
0.583568	1.000658
0.583925	1.000658
0.584283	1.000658
0.584641	1.000658
0.584999	1.000658
0.585357	1.000657
0.585715	1.000657
0.586074	1.000657
0.586433	1.000657
0.586792	1.000657
0.587151	1.000657
0.587511	1.000657
0.587871	1.000657
0.588231	1.000657
0.588591	1.000657
0.588951	1.000657
0.589312	1.000657
0.589673	1.000657
0.590034	1.000657
0.590395	1.000657
0.590757	1.000657
0.591118	1.000657
0.59148	1.000657
0.591843	1.000657
0.592205	1.000657
0.592568	1.000657
0.59293	1.000657
0.593294	1.000657
0.593657	1.000657
0.59402	1.000657
0.594384	1.000657
0.594748	1.000657
0.595112	1.000657
0.595477	1.000657
0.595841	1.000657
0.596206	1.000656
0.596571	1.000656
0.596937	1.000656
0.597302	1.000656
0.597668	1.000656
0.598034	1.000656
0.5984	1.000656
0.598767	1.000656
0.599133	1.000656
0.5995	1.000656
0.599867	1.000656
0.600235	1.000656
0.600602	1.000656
0.60097	1.000656
0.601338	1.000656
0.601706	1.000656
0.602075	1.000656
0.602443	1.000656
0.602812	1.000656
0.603181	1.000656
0.603551	1.000656
0.60392	1.000656
0.60429	1.000656
0.60466	1.000656
0.605031	1.000656
0.605401	1.000656
0.605772	1.000656
0.606143	1.000656
0.606514	1.000656
0.606885	1.000656
0.607257	1.000656
0.607629	1.000656
0.608001	1.000655
0.608373	1.000655
0.608746	1.000655
0.609119	1.000655
0.609492	1.000655
0.609865	1.000655
0.610238	1.000655
0.610612	1.000655
0.610986	1.000655
0.61136	1.000655
0.611734	1.000655
0.612109	1.000655
0.612484	1.000655
0.612859	1.000655
0.613234	1.000655
0.61361	1.000655
0.613985	1.000655
0.614361	1.000655
0.614738	1.000655
0.615114	1.000655
0.615491	1.000655
0.615868	1.000655
0.616245	1.000655
0.616622	1.000655
0.617	1.000655
0.617378	1.000655
0.617756	1.000655
0.618134	1.000655
0.618512	1.000655
0.618891	1.000655
0.61927	1.000655
0.619649	1.000655
0.620029	1.000655
0.620408	1.000654
0.620788	1.000654
0.621169	1.000654
0.621549	1.000654
0.62193	1.000654
0.62231	1.000654
0.622691	1.000654
0.623073	1.000654
0.623454	1.000654
0.623836	1.000654
0.624218	1.000654
0.6246	1.000654
0.624983	1.000654
0.625366	1.000654
0.625748	1.000654
0.626132	1.000654
0.626515	1.000654
0.626899	1.000654
0.627283	1.000654
0.627667	1.000654
0.628051	1.000654
0.628436	1.000654
0.628821	1.000654
0.629206	1.000654
0.629591	1.000654
0.629976	1.000654
0.630362	1.000654
0.630748	1.000654
0.631134	1.000654
0.631521	1.000654
0.631908	1.000654
0.632295	1.000654
0.632682	1.000654
0.633069	1.000654
0.633457	1.000654
0.633845	1.000653
0.634233	1.000653
0.634621	1.000653
0.63501	1.000653
0.635399	1.000653
0.635788	1.000653
0.636177	1.000653
0.636567	1.000653
0.636957	1.000653
0.637347	1.000653
0.637737	1.000653
0.638127	1.000653
0.638518	1.000653
0.638909	1.000653
0.6393	1.000653
0.639692	1.000653
0.640084	1.000653
0.640476	1.000653
0.640868	1.000653
0.64126	1.000653
0.641653	1.000653
0.642046	1.000653
0.642439	1.000653
0.642832	1.000653
0.643226	1.000653
0.64362	1.000653
0.644014	1.000653
0.644409	1.000653
0.644803	1.000653
0.645198	1.000653
0.645593	1.000653
0.645988	1.000653
0.646384	1.000653
0.64678	1.000653
0.647176	1.000653
0.647572	1.000652
0.647969	1.000652
0.648366	1.000652
0.648763	1.000652
0.64916	1.000652
0.649557	1.000652
0.649955	1.000652
0.650353	1.000652
0.650751	1.000652
0.65115	1.000652
0.651549	1.000652
0.651948	1.000652
0.652347	1.000652
0.652746	1.000652
0.653146	1.000652
0.653546	1.000652
0.653946	1.000652
0.654347	1.000652
0.654747	1.000652
0.655148	1.000652
0.655549	1.000652
0.655951	1.000652
0.656353	1.000652
0.656754	1.000652
0.657157	1.000652
0.657559	1.000652
0.657962	1.000652
0.658365	1.000652
0.658768	1.000652
0.659171	1.000652
0.659575	1.000652
0.659979	1.000652
0.660383	1.000652
0.660787	1.000652
0.661192	1.000652
0.661597	1.000652
0.662002	1.000652
0.662407	1.000652
0.662813	1.000651
0.663219	1.000651
0.663625	1.000651
0.664031	1.000651
0.664438	1.000651
0.664845	1.000651
0.665252	1.000651
0.665659	1.000651
0.666067	1.000651
0.666475	1.000651
0.666883	1.000651
0.667291	1.000651
0.6677	1.000651

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: —

C₂H₄ (Ethylene): all datasets

Loria 1909: Gas at 0 °C; n 0.523–0.668 µm n 0.523–0.6677 µm default

About C2H4 (Ethylene)

Ethylene (C₂H₄) is a colorless, flammable gas with a slightly sweet odor. It is the simplest alkene and is produced in vast quantities in the petrochemical industry. Ethylene plays a critical role in the synthetic polymer industry, being the precursor to polyethylene, the world's most widely used plastic. Besides its significance in polymer synthesis, ethylene is a naturally occurring plant hormone responsible for fruit ripening and flower wilting. Due to its importance in both industrial and natural processes, ethylene production and its role in plant biology have been extensively studied. In the industrial setting, it's crucial to store and transport ethylene under controlled conditions due to its flammability.

More about C2H4 (Ethylene) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/organic/C2H4 - ethylene/nk/Loria.yml
ID: ds_c849d5d7f9f7
API: /v1/datasets/ds_c849d5d7f9f7

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