Optical constants

Refractive index of O₂ (Oxygen)

Smith et al. 1976: n 0.168–0.289 µm

Data: tabulated n
Range: 0.1843–0.2882 µm
Points: 22
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: 1.00031
Extinction coefficient k: 0

Permittivity ε₁: 1.00063
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.000622426 µm⁻¹

Group index n_g: 1.00046
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 5.39062 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): Smith et al. 1976: n 0.168–0.289 µm
o2 = ls.fetch_refractiveindex("main", "O2", "Smith", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(o2.range_nm)  # (184.3, 288.24) nm
eps = o2.eps([230])  # 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_e25afc28c8b5/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/smith-1976).

# ... 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=185, stop_nm=288, 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

Standard conditions: 0 °C (273.15 K), 760 torr (101.325 kPa).

Conditions

temperature: 273.15 K
pressure: 101325

References

P. L. Smith, M. C. E. Huber, W. H. Parkinson. Refractivities of H₂, He, O₂, CO, and Kr for 168≤λ≤288 nm. Phys Rev. A 13, 199-203 (1976)

doi:10.1103/physreva.13.1422 Refractivities of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, He,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, CO, and Kr for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>168</mml:mn><mml:mi>≤</mml:mi><mml:mi>λ</mml:mi><mml:mi>≤</mml:mi><mml:mn>288</mml:mn></mml:math>nm, Physical Review A (1976)

Cite

Peter L. Smith, Martin C. E. Huber and W. H. Parkinson. Refractivities of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, He,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, CO, and Kr for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>168</mml:mn><mml:mi>≤</mml:mi><mml:mi>λ</mml:mi><mml:mi>≤</mml:mi><mml:mn>288</mml:mn></mml:math>nm. Physical Review A, 13, 1422-1434 (1976), doi:10.1103/physreva.13.1422; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

22 rows as published

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

O2 (Oxygen), Smith et al. 1976: n 0.168–0.289 µm: n and k versus wavelength
λ (µm)	n
0.1843	1.0003792
0.19185	1.0003612
0.19776	1.0003482
0.19792	1.0003479
0.19806	1.0003476
0.19832	1.0003471
0.19864	1.0003467
0.1989	1.0003462
0.20588	1.0003361
0.21248	1.0003285
0.22087	1.0003208
0.22116	1.0003206
0.22174	1.0003201
0.24359	1.0003065
0.25077	1.0003033
0.25151	1.000303
0.25169	1.0003029
0.252	1.0003027
0.25249	1.0003027
0.25293	1.0003024
0.26321	1.0002986
0.28824	1.0002916

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/Smith.yml
ID: ds_e25afc28c8b5
API: /v1/datasets/ds_e25afc28c8b5

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