Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.00069
Extinction coefficient k: 0

Permittivity ε₁: 1.00138
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -7.73727e-05 µm⁻¹

Group index n_g: 1.00073
Group velocity dispersion: 0.149239 fs²/mm

Dispersion parameter D: -0.814178 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

# Xe (Xenon): Bideau-Mehu et al. 1981: n 0.140–0.623 µm
xe = ls.fetch_refractiveindex("main", "Xe", "Bideau-Mehu", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(xe.range_nm)  # (140.4, 623.4) nm
eps = xe.eps([296])  # 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_8743fed710eb/lightsmith"
xe = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(xe.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (xe/bideau-mehu-1981).

# ... load xe as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=xe)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=623, 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{0.00322869}{46.301 - λ^{−2}} + \frac{0.00355393}{59.578 - λ^{−2}} + \frac{0.0606764}{112.74 - λ^{−2}}

Valid from 0.1404 to 0.6234 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	0.00322869
C3	46.301
C4	0.00355393
C5	59.578
C6	0.0606764
C7	112.74

Comments and conditions

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

Conditions

temperature: 273.15 K
pressure: 101325

References

1) A. Bideau-Mehu, Y. Guern, R. Abjean, A. Johannin-Gilles. Measurement of refractive indices of neon, argon, krypton and xenon in the 253.7-140.4 nm wavelength range. Dispersion relations and estimated oscillator strengths of the resonance lines. J. Quant. Spectrosc. Rad. Transfer 25, 395-402 (1981)

2) J. Koch. Kungl. Fysiografiska Sällskapets i Lund Förhandlingar (Proceedings of the Royal Physiographic Society at Lund) 19, 173 (1949)
* Sellmeier formula is derived by the authors of ref. 1 using their own data in the 0.1404-0.2537 μm range combined with data from ref. 2 at longer wavelengths.
** A misprint is corrected in the Sellmeier formula: "50.578" is replaced by "59.578" in the denominator of the second term.

doi:10.1016/0022-4073(81)90057-1 Measurement of refractive indices of neon, argon, krypton and xenon in the 253.7–140.4 nm wavelength range. Dispersion relations and estimated oscillator strengths of the resonance lines, Journal of Quantitative Spectroscopy and Radiative Transfer (1981)

Cite

A. Bideau-Mehu, Y. Guern, R. Abjean and A. Johannin-Gilles. Measurement of refractive indices of neon, argon, krypton and xenon in the 253.7–140.4 nm wavelength range. Dispersion relations and estimated oscillator strengths of the resonance lines. Journal of Quantitative Spectroscopy and Radiative Transfer, 25, 395-402 (1981), doi:10.1016/0022-4073(81)90057-1; J. Koch. Kungl. Fysiografiska Sällskapets i Lund Förhandlingar (Proceedings of the Royal Physiographic Society at Lund) 19, 173 (1949); 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

Xe (Xenon), Bideau-Mehu et al. 1981: n 0.140–0.623 µm: n and k versus wavelength
λ (µm)	n
0.1404	1.000651
0.140926	1.000561
0.141453	1.000459
0.141982	1.00034
0.142514	1.000199
0.143047	1.000025
0.143583	0.9998013
0.14412	0.9994991
0.14466	0.999062
0.145201	0.9983637
0.145745	0.9970511
0.14629	0.9936198
0.146838	0.9599634
0.147387	1.013267
0.147939	1.006457
0.148493	1.00455
0.149049	1.003648
0.149607	1.00312
0.150167	1.002772
0.150729	1.002524
0.151293	1.002338
0.151859	1.002193
0.152428	1.002076
0.152998	1.001979
0.153571	1.001898
0.154146	1.001828
0.154723	1.001768
0.155302	1.001715
0.155883	1.001668
0.156466	1.001626
0.157052	1.001588
0.15764	1.001553
0.15823	1.001522
0.158822	1.001493
0.159417	1.001467
0.160013	1.001442
0.160612	1.001419
0.161214	1.001398
0.161817	1.001378
0.162423	1.001359
0.163031	1.001342
0.163641	1.001325
0.164253	1.001309
0.164868	1.001294
0.165485	1.00128
0.166105	1.001267
0.166727	1.001254
0.167351	1.001241
0.167977	1.001229
0.168606	1.001218
0.169237	1.001207
0.16987	1.001197
0.170506	1.001187
0.171144	1.001177
0.171785	1.001168
0.172428	1.001159
0.173073	1.00115
0.173721	1.001142
0.174371	1.001134
0.175024	1.001126
0.175679	1.001118
0.176337	1.001111
0.176997	1.001104
0.177659	1.001097
0.178324	1.00109
0.178992	1.001084
0.179662	1.001077
0.180334	1.001071
0.181009	1.001065
0.181687	1.001059
0.182367	1.001053
0.18305	1.001048
0.183735	1.001042
0.184422	1.001037
0.185113	1.001032
0.185806	1.001027
0.186501	1.001022
0.187199	1.001017
0.1879	1.001012
0.188603	1.001007
0.189309	1.001003
0.190018	1.000998
0.190729	1.000994
0.191443	1.00099
0.192159	1.000986
0.192879	1.000982
0.193601	1.000978
0.194325	1.000974
0.195053	1.00097
0.195783	1.000966
0.196516	1.000962
0.197251	1.000959
0.19799	1.000955
0.198731	1.000952
0.199474	1.000948
0.200221	1.000945
0.200971	1.000942
0.201723	1.000938
0.202478	1.000935
0.203236	1.000932
0.203996	1.000929
0.20476	1.000926
0.205526	1.000923
0.206296	1.00092
0.207068	1.000917
0.207843	1.000914
0.208621	1.000911
0.209402	1.000909
0.210186	1.000906
0.210972	1.000903
0.211762	1.000901
0.212555	1.000898
0.21335	1.000896
0.214149	1.000893
0.21495	1.000891
0.215755	1.000888
0.216563	1.000886
0.217373	1.000884
0.218187	1.000881
0.219004	1.000879
0.219823	1.000877
0.220646	1.000874
0.221472	1.000872
0.222301	1.00087
0.223133	1.000868
0.223968	1.000866
0.224807	1.000864
0.225648	1.000862
0.226493	1.00086
0.22734	1.000858
0.228191	1.000856
0.229046	1.000854
0.229903	1.000852
0.230763	1.00085
0.231627	1.000848
0.232494	1.000847
0.233364	1.000845
0.234238	1.000843
0.235115	1.000841
0.235995	1.000839
0.236878	1.000838
0.237765	1.000836
0.238655	1.000834
0.239548	1.000833
0.240445	1.000831
0.241345	1.00083
0.242248	1.000828
0.243155	1.000826
0.244065	1.000825
0.244978	1.000823
0.245895	1.000822
0.246816	1.00082
0.24774	1.000819
0.248667	1.000817
0.249598	1.000816
0.250532	1.000815
0.25147	1.000813
0.252411	1.000812
0.253356	1.00081
0.254304	1.000809
0.255256	1.000808
0.256211	1.000806
0.25717	1.000805
0.258133	1.000804
0.259099	1.000802
0.260069	1.000801
0.261043	1.0008
0.26202	1.000799
0.263	1.000798
0.263985	1.000796
0.264973	1.000795
0.265965	1.000794
0.26696	1.000793
0.26796	1.000792
0.268963	1.00079
0.269969	1.000789
0.27098	1.000788
0.271994	1.000787
0.273012	1.000786
0.274034	1.000785
0.27506	1.000784
0.276089	1.000783
0.277123	1.000782
0.27816	1.000781
0.279201	1.00078
0.280246	1.000779
0.281295	1.000778
0.282348	1.000777
0.283405	1.000776
0.284466	1.000775
0.285531	1.000774
0.286599	1.000773
0.287672	1.000772
0.288749	1.000771
0.28983	1.00077
0.290915	1.000769
0.292003	1.000768
0.293096	1.000767
0.294194	1.000767
0.295295	1.000766
0.2964	1.000765
0.297509	1.000764
0.298623	1.000763
0.299741	1.000762
0.300863	1.000761
0.301989	1.000761
0.303119	1.00076
0.304254	1.000759
0.305393	1.000758
0.306536	1.000757
0.307683	1.000757
0.308835	1.000756
0.309991	1.000755
0.311151	1.000754
0.312316	1.000754
0.313485	1.000753
0.314658	1.000752
0.315836	1.000751
0.317018	1.000751
0.318205	1.00075
0.319396	1.000749
0.320591	1.000749
0.321791	1.000748
0.322996	1.000747
0.324205	1.000747
0.325418	1.000746
0.326636	1.000745
0.327859	1.000745
0.329086	1.000744
0.330318	1.000743
0.331554	1.000743
0.332796	1.000742
0.334041	1.000741
0.335292	1.000741
0.336547	1.00074
0.337806	1.00074
0.339071	1.000739
0.34034	1.000738
0.341614	1.000738
0.342892	1.000737
0.344176	1.000737
0.345464	1.000736
0.346757	1.000735
0.348055	1.000735
0.349358	1.000734
0.350666	1.000734
0.351978	1.000733
0.353296	1.000733
0.354618	1.000732
0.355945	1.000732
0.357278	1.000731
0.358615	1.00073
0.359957	1.00073
0.361305	1.000729
0.362657	1.000729
0.364015	1.000728
0.365377	1.000728
0.366745	1.000727
0.368117	1.000727
0.369495	1.000726
0.370878	1.000726
0.372267	1.000725
0.37366	1.000725
0.375059	1.000725
0.376463	1.000724
0.377872	1.000724
0.379286	1.000723
0.380706	1.000723
0.382131	1.000722
0.383561	1.000722
0.384997	1.000721
0.386438	1.000721
0.387884	1.00072
0.389336	1.00072
0.390794	1.00072
0.392256	1.000719
0.393725	1.000719
0.395198	1.000718
0.396678	1.000718
0.398162	1.000718
0.399653	1.000717
0.401149	1.000717
0.40265	1.000716
0.404157	1.000716
0.40567	1.000716
0.407188	1.000715
0.408713	1.000715
0.410242	1.000714
0.411778	1.000714
0.413319	1.000714
0.414866	1.000713
0.416419	1.000713
0.417978	1.000713
0.419542	1.000712
0.421113	1.000712
0.422689	1.000711
0.424271	1.000711
0.425859	1.000711
0.427453	1.00071
0.429053	1.00071
0.430659	1.00071
0.432271	1.000709
0.433889	1.000709
0.435513	1.000709
0.437143	1.000708
0.43878	1.000708
0.440422	1.000708
0.442071	1.000707
0.443725	1.000707
0.445386	1.000707
0.447053	1.000706
0.448727	1.000706
0.450406	1.000706
0.452092	1.000706
0.453784	1.000705
0.455483	1.000705
0.457188	1.000705
0.458899	1.000704
0.460617	1.000704
0.462341	1.000704
0.464072	1.000704
0.465809	1.000703
0.467552	1.000703
0.469302	1.000703
0.471059	1.000702
0.472822	1.000702
0.474592	1.000702
0.476368	1.000702
0.478151	1.000701
0.479941	1.000701
0.481738	1.000701
0.483541	1.000701
0.485351	1.0007
0.487167	1.0007
0.488991	1.0007
0.490821	1.000699
0.492658	1.000699
0.494502	1.000699
0.496353	1.000699
0.498211	1.000698
0.500076	1.000698
0.501948	1.000698
0.503827	1.000698
0.505712	1.000698
0.507605	1.000697
0.509505	1.000697
0.511413	1.000697
0.513327	1.000697
0.515248	1.000696
0.517177	1.000696
0.519113	1.000696
0.521056	1.000696
0.523006	1.000695
0.524964	1.000695
0.526929	1.000695
0.528901	1.000695
0.530881	1.000695
0.532868	1.000694
0.534862	1.000694
0.536864	1.000694
0.538874	1.000694
0.540891	1.000694
0.542915	1.000693
0.544948	1.000693
0.546987	1.000693
0.549035	1.000693
0.55109	1.000693
0.553153	1.000692
0.555223	1.000692
0.557301	1.000692
0.559387	1.000692
0.561481	1.000692
0.563583	1.000691
0.565692	1.000691
0.56781	1.000691
0.569935	1.000691
0.572068	1.000691
0.57421	1.000691
0.576359	1.00069
0.578516	1.00069
0.580682	1.00069
0.582855	1.00069
0.585037	1.00069
0.587227	1.00069
0.589425	1.000689
0.591631	1.000689
0.593846	1.000689
0.596068	1.000689
0.5983	1.000689
0.600539	1.000689
0.602787	1.000688
0.605043	1.000688
0.607308	1.000688
0.609581	1.000688
0.611863	1.000688
0.614153	1.000688
0.616452	1.000687
0.618759	1.000687
0.621075	1.000687
0.6234	1.000687

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: —

Plot