Optical constants
Refractive index of Na (Sodium)
Inagaki et al. 1976: Liquid @ 120 °C; n,k 0.335–2.00 µm
- Data
- tabulated nk
- Range
- 0.335–2 µm
- Points
- 23
- Temperature
- 393 K
- State
- liquid
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 0.0298444
- Extinction coefficient k
- 2.41716
- Permittivity ε1
- -5.84175
- Permittivity ε2
- 0.144277
- Absorption coefficient α
- 516931 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 38.6899 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 0.111111 µm⁻¹
- Group index ng
- -0.0354444
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 2.11001 eV
ε = (n + ik)², α = 4πk/λ, ng = 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
# Na (Sodium): Inagaki et al. 1976: Liquid @ 120 °C; n,k 0.335–2.00 µm
na = ls.fetch_refractiveindex("main", "Na", "Inagaki-liquid", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(na.range_nm) # (335, 2000) nm
eps = na.eps([633]) # complex permittivityDownloads 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_e0186ccfa126/lightsmith"
na = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(na.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (na/inagaki-1976-liquid).
# ... load na as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=na)],
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 wavelengthSame spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
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
Conditions
- temperature
- 393 K
References
- doi:10.1103/physrevb.13.5610 Optical properties of liquid Na between 0.6 and 3.8 eV, Physical Review B (1976)
Cite
T. Inagaki, E. T. Arakawa, R. D. Birkhoff and M. W. Williams. Optical properties of liquid Na between 0.6 and 3.8 eV. Physical Review B, 13, 5610-5612 (1976), doi:10.1103/physrevb.13.5610; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
23 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.335 | 0.037 | 1.13 |
| 0.345 | 0.037 | 1.19 |
| 0.36 | 0.036 | 1.27 |
| 0.38 | 0.036 | 1.38 |
| 0.4 | 0.035 | 1.49 |
| 0.42 | 0.034 | 1.59 |
| 0.44 | 0.033 | 1.7 |
| 0.46 | 0.032 | 1.8 |
| 0.48 | 0.03 | 1.9 |
| 0.5 | 0.028 | 2.0 |
| 0.54 | 0.026 | 2.19 |
| 0.58 | 0.029 | 2.38 |
| 0.625 | 0.034 | 2.6 |
| 0.675 | 0.041 | 2.83 |
| 0.725 | 0.048 | 3.04 |
| 0.8 | 0.059 | 3.37 |
| 0.9 | 0.072 | 3.86 |
| 1.0 | 0.087 | 4.31 |
| 1.2 | 0.12 | 5.17 |
| 1.4 | 0.15 | 6.0 |
| 1.6 | 0.18 | 6.87 |
| 1.8 | 0.23 | 7.64 |
| 2.0 | 0.31 | 8.43 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
- —
- Reflectance R
- —
Fresnel reflection calculator
- Rp
- —
- Rs
- —
- R = (Rp+Rs)/2
- —
- Phase φp
- —
- Phase φs
- —
- Brewster angle θB
- —
- Critical angle θC
- —
Liquid Na at 120 °C (393 K)