Optical constants

Refractive index of O₂ (Oxygen)

Zhang et al. 2008: n 0.4–1.8 µm; 20 °C

Data: formula 6
Range: 0.4–1.8 µm
Temperature: 293 K
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.00025
Extinction coefficient k: 0

Permittivity ε₁: 1.0005
Permittivity ε₂: 0

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

Abbe number V_d: 70.706
Chromatic dispersion dn/dλ: -1.82069e-05 µm⁻¹

Group index n_g: 1.00026
Group velocity dispersion: 0.0351751 fs²/mm

Dispersion parameter D: -0.191899 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

# O2 (Oxygen): Zhang et al. 2008: n 0.4–1.8 µm; 20 °C
o2 = ls.fetch_refractiveindex("main", "O2", "Zhang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(o2.range_nm)  # (400, 1800) nm
eps = o2.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_17a47d8fda3e/lightsmith"
o2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(o2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (o2/zhang-2008).

# ... load o2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=o2)],
    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.

Dispersion formula

Gases (formula 6), λ in µm

n - 1 = 0.0001181494 + \frac{0.009708931}{75.4 - λ^{−2}}

Valid from 0.4 to 1.8 µm.

Coefficients as stored

C_i	Value
C1	0.0001181494
C2	0.009708931
C3	75.4

Comments and conditions

Standard conditions: 20 °C, 101 325 Pa.

Conditions

temperature: 293 K
pressure: 101325

References

1) J. Zhang, Z. H. Lu, L. J. Wang. Precision refractive index measurements of air, N₂, O₂, Ar, and CO₂ with a frequency comb. Appl. Opt. 47, 3143-3151 (2008)
2) P. Křen. Comment on "Precision refractive index measurements of air, N₂, O₂, Ar, and CO₂ with a frequency comb". Appl. Opt. 50, 6484-6485 (2011)

doi:10.1364/ao.47.003143 Precision refractive index measurements of air, N_2, O_2, Ar, and CO_2 with a frequency comb, Applied Optics (2008)
doi:10.1364/ao.50.006484 Comment on “Precision refractive index measurements of air, N_2, O_2, Ar, and CO_2 with a frequency comb”, Applied Optics (2011)

Cite

J. Zhang, Z. H. Lu and L. J. Wang. Precision refractive index measurements of air, N_2, O_2, Ar, and CO_2 with a frequency comb. Applied Optics, 47, 3143 (2008), doi:10.1364/ao.47.003143; Petr Křen. Comment on “Precision refractive index measurements of air, N_2, O_2, Ar, and CO_2 with a frequency comb”. Applied Optics, 50, 6484 (2011), doi:10.1364/ao.50.006484; 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

O2 (Oxygen), Zhang et al. 2008: n 0.4–1.8 µm; 20 °C: n and k versus wavelength
λ (µm)	n
0.4	1.000259
0.401511	1.000258
0.403027	1.000258
0.404549	1.000258
0.406077	1.000258
0.407611	1.000258
0.40915	1.000258
0.410695	1.000258
0.412247	1.000258
0.413803	1.000258
0.415366	1.000258
0.416935	1.000258
0.41851	1.000257
0.42009	1.000257
0.421677	1.000257
0.423269	1.000257
0.424868	1.000257
0.426473	1.000257
0.428083	1.000257
0.4297	1.000257
0.431323	1.000257
0.432952	1.000257
0.434587	1.000257
0.436228	1.000257
0.437876	1.000256
0.43953	1.000256
0.44119	1.000256
0.442856	1.000256
0.444528	1.000256
0.446207	1.000256
0.447892	1.000256
0.449584	1.000256
0.451282	1.000256
0.452986	1.000256
0.454697	1.000256
0.456414	1.000256
0.458138	1.000256
0.459868	1.000256
0.461605	1.000255
0.463349	1.000255
0.465099	1.000255
0.466855	1.000255
0.468618	1.000255
0.470388	1.000255
0.472165	1.000255
0.473948	1.000255
0.475738	1.000255
0.477535	1.000255
0.479338	1.000255
0.481148	1.000255
0.482966	1.000255
0.48479	1.000255
0.486621	1.000255
0.488458	1.000254
0.490303	1.000254
0.492155	1.000254
0.494014	1.000254
0.495879	1.000254
0.497752	1.000254
0.499632	1.000254
0.501519	1.000254
0.503413	1.000254
0.505314	1.000254
0.507223	1.000254
0.509138	1.000254
0.511061	1.000254
0.512992	1.000254
0.514929	1.000254
0.516874	1.000254
0.518826	1.000254
0.520785	1.000254
0.522752	1.000253
0.524726	1.000253
0.526708	1.000253
0.528697	1.000253
0.530694	1.000253
0.532698	1.000253
0.53471	1.000253
0.53673	1.000253
0.538757	1.000253
0.540792	1.000253
0.542834	1.000253
0.544884	1.000253
0.546942	1.000253
0.549008	1.000253
0.551081	1.000253
0.553162	1.000253
0.555252	1.000253
0.557349	1.000253
0.559454	1.000253
0.561566	1.000253
0.563687	1.000253
0.565816	1.000252
0.567953	1.000252
0.570098	1.000252
0.572251	1.000252
0.574413	1.000252
0.576582	1.000252
0.57876	1.000252
0.580945	1.000252
0.583139	1.000252
0.585342	1.000252
0.587552	1.000252
0.589771	1.000252
0.591999	1.000252
0.594235	1.000252
0.596479	1.000252
0.598732	1.000252
0.600993	1.000252
0.603263	1.000252
0.605541	1.000252
0.607828	1.000252
0.610124	1.000252
0.612428	1.000252
0.614741	1.000252
0.617063	1.000252
0.619393	1.000252
0.621732	1.000251
0.624081	1.000251
0.626438	1.000251
0.628803	1.000251
0.631178	1.000251
0.633562	1.000251
0.635955	1.000251
0.638357	1.000251
0.640768	1.000251
0.643188	1.000251
0.645617	1.000251
0.648055	1.000251
0.650503	1.000251
0.652959	1.000251
0.655425	1.000251
0.657901	1.000251
0.660385	1.000251
0.66288	1.000251
0.665383	1.000251
0.667896	1.000251
0.670419	1.000251
0.67295	1.000251
0.675492	1.000251
0.678043	1.000251
0.680604	1.000251
0.683174	1.000251
0.685755	1.000251
0.688345	1.000251
0.690944	1.000251
0.693554	1.000251
0.696173	1.000251
0.698802	1.000251
0.701442	1.00025
0.704091	1.00025
0.70675	1.00025
0.709419	1.00025
0.712098	1.00025
0.714788	1.00025
0.717487	1.00025
0.720197	1.00025
0.722917	1.00025
0.725647	1.00025
0.728388	1.00025
0.731139	1.00025
0.7339	1.00025
0.736672	1.00025
0.739454	1.00025
0.742247	1.00025
0.74505	1.00025
0.747864	1.00025
0.750688	1.00025
0.753524	1.00025
0.756369	1.00025
0.759226	1.00025
0.762093	1.00025
0.764972	1.00025
0.767861	1.00025
0.770761	1.00025
0.773672	1.00025
0.776594	1.00025
0.779527	1.00025
0.782471	1.00025
0.785426	1.00025
0.788392	1.00025
0.79137	1.00025
0.794359	1.00025
0.797359	1.00025
0.80037	1.00025
0.803393	1.00025
0.806427	1.00025
0.809473	1.00025
0.81253	1.00025
0.815599	1.00025
0.818679	1.00025
0.821771	1.000249
0.824874	1.000249
0.82799	1.000249
0.831117	1.000249
0.834256	1.000249
0.837406	1.000249
0.840569	1.000249
0.843744	1.000249
0.84693	1.000249
0.850129	1.000249
0.85334	1.000249
0.856563	1.000249
0.859798	1.000249
0.863045	1.000249
0.866304	1.000249
0.869576	1.000249
0.87286	1.000249
0.876157	1.000249
0.879466	1.000249
0.882787	1.000249
0.886121	1.000249
0.889468	1.000249
0.892827	1.000249
0.896199	1.000249
0.899584	1.000249
0.902981	1.000249
0.906392	1.000249
0.909815	1.000249
0.913251	1.000249
0.9167	1.000249
0.920162	1.000249
0.923637	1.000249
0.927126	1.000249
0.930627	1.000249
0.934142	1.000249
0.93767	1.000249
0.941211	1.000249
0.944766	1.000249
0.948334	1.000249
0.951916	1.000249
0.955511	1.000249
0.95912	1.000249
0.962742	1.000249
0.966378	1.000249
0.970028	1.000249
0.973691	1.000249
0.977369	1.000249
0.98106	1.000249
0.984765	1.000249
0.988484	1.000249
0.992218	1.000249
0.995965	1.000249
0.999726	1.000249
1.0035	1.000249
1.00729	1.000249
1.0111	1.000249
1.01491	1.000249
1.01875	1.000249
1.0226	1.000249
1.02646	1.000249
1.03033	1.000249
1.03423	1.000249
1.03813	1.000249
1.04205	1.000249
1.04599	1.000248
1.04994	1.000248
1.0539	1.000248
1.05788	1.000248
1.06188	1.000248
1.06589	1.000248
1.06992	1.000248
1.07396	1.000248
1.07801	1.000248
1.08208	1.000248
1.08617	1.000248
1.09027	1.000248
1.09439	1.000248
1.09852	1.000248
1.10267	1.000248
1.10684	1.000248
1.11102	1.000248
1.11521	1.000248
1.11942	1.000248
1.12365	1.000248
1.1279	1.000248
1.13216	1.000248
1.13643	1.000248
1.14072	1.000248
1.14503	1.000248
1.14936	1.000248
1.1537	1.000248
1.15805	1.000248
1.16243	1.000248
1.16682	1.000248
1.17123	1.000248
1.17565	1.000248
1.18009	1.000248
1.18455	1.000248
1.18902	1.000248
1.19351	1.000248
1.19802	1.000248
1.20254	1.000248
1.20708	1.000248
1.21164	1.000248
1.21622	1.000248
1.22081	1.000248
1.22542	1.000248
1.23005	1.000248
1.2347	1.000248
1.23936	1.000248
1.24404	1.000248
1.24874	1.000248
1.25345	1.000248
1.25819	1.000248
1.26294	1.000248
1.26771	1.000248
1.2725	1.000248
1.2773	1.000248
1.28213	1.000248
1.28697	1.000248
1.29183	1.000248
1.29671	1.000248
1.30161	1.000248
1.30652	1.000248
1.31146	1.000248
1.31641	1.000248
1.32138	1.000248
1.32637	1.000248
1.33138	1.000248
1.33641	1.000248
1.34146	1.000248
1.34652	1.000248
1.35161	1.000248
1.35671	1.000248
1.36184	1.000248
1.36698	1.000248
1.37214	1.000248
1.37733	1.000248
1.38253	1.000248
1.38775	1.000248
1.39299	1.000248
1.39825	1.000248
1.40353	1.000248
1.40883	1.000248
1.41415	1.000248
1.41949	1.000248
1.42486	1.000248
1.43024	1.000248
1.43564	1.000248
1.44106	1.000248
1.4465	1.000248
1.45197	1.000248
1.45745	1.000248
1.46295	1.000248
1.46848	1.000248
1.47403	1.000248
1.47959	1.000248
1.48518	1.000248
1.49079	1.000248
1.49642	1.000248
1.50207	1.000248
1.50774	1.000248
1.51344	1.000248
1.51915	1.000248
1.52489	1.000248
1.53065	1.000248
1.53643	1.000248
1.54223	1.000248
1.54806	1.000248
1.55391	1.000248
1.55977	1.000248
1.56567	1.000248
1.57158	1.000248
1.57751	1.000248
1.58347	1.000248
1.58945	1.000248
1.59545	1.000248
1.60148	1.000248
1.60753	1.000248
1.6136	1.000248
1.61969	1.000248
1.62581	1.000248
1.63195	1.000248
1.63812	1.000248
1.6443	1.000248
1.65051	1.000248
1.65675	1.000248
1.663	1.000248
1.66928	1.000248
1.67559	1.000248
1.68192	1.000248
1.68827	1.000248
1.69464	1.000248
1.70104	1.000248
1.70747	1.000248
1.71392	1.000247
1.72039	1.000247
1.72689	1.000247
1.73341	1.000247
1.73996	1.000247
1.74653	1.000247
1.75312	1.000247
1.75975	1.000247
1.76639	1.000247
1.77306	1.000247
1.77976	1.000247
1.78648	1.000247
1.79323	1.000247
1.8	1.000247

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: —

O₂ (Oxygen): all datasets

About O2 (Oxygen)

Oxygen (O₂) is a diatomic molecule that constitutes about 20.8% of Earth's atmosphere. It is essential for the respiration of most life forms and is a key player in combustion processes. In its liquid and solid states, oxygen is pale blue. Optically, oxygen is generally transparent in the visible region, but it can have strong absorption bands in the ultraviolet and infrared wavelengths. This absorption is vital for protecting life on Earth by filtering out the sun's harmful ultraviolet radiation in the upper atmosphere. In advanced optical applications, oxygen plays a role in the formation of certain oxide materials used in optics, like optical fibers and waveguides. Additionally, pure oxygen environments are sometimes used in various laser processes due to its reactive nature.

More about O2 (Oxygen) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/O2/nk/Zhang.yml
ID: ds_17a47d8fda3e
API: /v1/datasets/ds_17a47d8fda3e

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