Optical constants
Refractive index of C2H2 (Acetylene)
Loria 1909: Gas at 0 °C; n 0.529–0.659 µm
- Data
- formula 5
- Range
- 0.5461–0.6708 µm
- Temperature
- 273.15 K
- State
- gas
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.00057
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.00113
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -7.76937e-05 µm⁻¹
- Group index ng
- 1.00061
- Group velocity dispersion
- 0.142511 fs²/mm
- Dispersion parameter D
- -0.777475 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
# C2H2 (Acetylene): Loria 1909: Gas at 0 °C; n 0.529–0.659 µm
c2h2 = ls.fetch_refractiveindex("organic", "acetylene", "Loria", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c2h2.range_nm) # (546.1, 670.8) nm
eps = c2h2.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_d33c6bc8da76/lightsmith"
c2h2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c2h2.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (acetylene/loria-1909).
# ... load c2h2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c2h2)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=547, stop_nm=670, 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"]).
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 µmValid from 0.5461 to 0.6708 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.00054242 |
| C2 | 7.8813626e-06 |
| C3 | -2.0 |
Comments and conditions
Conditions
- temperature
- 273.15 K
- pressure
- 101325
References
- 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| λ (µm) | n |
|---|---|
| 0.5461 | 1.000569 |
| 0.546382 | 1.000569 |
| 0.546663 | 1.000569 |
| 0.546945 | 1.000569 |
| 0.547227 | 1.000569 |
| 0.547509 | 1.000569 |
| 0.547792 | 1.000569 |
| 0.548074 | 1.000569 |
| 0.548357 | 1.000569 |
| 0.548639 | 1.000569 |
| 0.548922 | 1.000569 |
| 0.549205 | 1.000569 |
| 0.549488 | 1.000569 |
| 0.549772 | 1.000568 |
| 0.550055 | 1.000568 |
| 0.550339 | 1.000568 |
| 0.550623 | 1.000568 |
| 0.550906 | 1.000568 |
| 0.55119 | 1.000568 |
| 0.551475 | 1.000568 |
| 0.551759 | 1.000568 |
| 0.552043 | 1.000568 |
| 0.552328 | 1.000568 |
| 0.552613 | 1.000568 |
| 0.552898 | 1.000568 |
| 0.553183 | 1.000568 |
| 0.553468 | 1.000568 |
| 0.553753 | 1.000568 |
| 0.554039 | 1.000568 |
| 0.554325 | 1.000568 |
| 0.55461 | 1.000568 |
| 0.554896 | 1.000568 |
| 0.555182 | 1.000568 |
| 0.555469 | 1.000568 |
| 0.555755 | 1.000568 |
| 0.556042 | 1.000568 |
| 0.556328 | 1.000568 |
| 0.556615 | 1.000568 |
| 0.556902 | 1.000568 |
| 0.557189 | 1.000568 |
| 0.557477 | 1.000568 |
| 0.557764 | 1.000568 |
| 0.558052 | 1.000568 |
| 0.558339 | 1.000568 |
| 0.558627 | 1.000568 |
| 0.558915 | 1.000568 |
| 0.559203 | 1.000568 |
| 0.559492 | 1.000568 |
| 0.55978 | 1.000568 |
| 0.560069 | 1.000568 |
| 0.560358 | 1.000568 |
| 0.560647 | 1.000567 |
| 0.560936 | 1.000567 |
| 0.561225 | 1.000567 |
| 0.561514 | 1.000567 |
| 0.561804 | 1.000567 |
| 0.562093 | 1.000567 |
| 0.562383 | 1.000567 |
| 0.562673 | 1.000567 |
| 0.562963 | 1.000567 |
| 0.563253 | 1.000567 |
| 0.563544 | 1.000567 |
| 0.563834 | 1.000567 |
| 0.564125 | 1.000567 |
| 0.564416 | 1.000567 |
| 0.564707 | 1.000567 |
| 0.564998 | 1.000567 |
| 0.56529 | 1.000567 |
| 0.565581 | 1.000567 |
| 0.565873 | 1.000567 |
| 0.566164 | 1.000567 |
| 0.566456 | 1.000567 |
| 0.566748 | 1.000567 |
| 0.567041 | 1.000567 |
| 0.567333 | 1.000567 |
| 0.567625 | 1.000567 |
| 0.567918 | 1.000567 |
| 0.568211 | 1.000567 |
| 0.568504 | 1.000567 |
| 0.568797 | 1.000567 |
| 0.56909 | 1.000567 |
| 0.569384 | 1.000567 |
| 0.569677 | 1.000567 |
| 0.569971 | 1.000567 |
| 0.570265 | 1.000567 |
| 0.570559 | 1.000567 |
| 0.570853 | 1.000567 |
| 0.571147 | 1.000567 |
| 0.571442 | 1.000567 |
| 0.571736 | 1.000567 |
| 0.572031 | 1.000567 |
| 0.572326 | 1.000566 |
| 0.572621 | 1.000566 |
| 0.572916 | 1.000566 |
| 0.573212 | 1.000566 |
| 0.573507 | 1.000566 |
| 0.573803 | 1.000566 |
| 0.574099 | 1.000566 |
| 0.574395 | 1.000566 |
| 0.574691 | 1.000566 |
| 0.574987 | 1.000566 |
| 0.575284 | 1.000566 |
| 0.575581 | 1.000566 |
| 0.575877 | 1.000566 |
| 0.576174 | 1.000566 |
| 0.576471 | 1.000566 |
| 0.576768 | 1.000566 |
| 0.577066 | 1.000566 |
| 0.577363 | 1.000566 |
| 0.577661 | 1.000566 |
| 0.577959 | 1.000566 |
| 0.578257 | 1.000566 |
| 0.578555 | 1.000566 |
| 0.578853 | 1.000566 |
| 0.579152 | 1.000566 |
| 0.57945 | 1.000566 |
| 0.579749 | 1.000566 |
| 0.580048 | 1.000566 |
| 0.580347 | 1.000566 |
| 0.580646 | 1.000566 |
| 0.580946 | 1.000566 |
| 0.581245 | 1.000566 |
| 0.581545 | 1.000566 |
| 0.581845 | 1.000566 |
| 0.582145 | 1.000566 |
| 0.582445 | 1.000566 |
| 0.582745 | 1.000566 |
| 0.583046 | 1.000566 |
| 0.583346 | 1.000566 |
| 0.583647 | 1.000566 |
| 0.583948 | 1.000566 |
| 0.584249 | 1.000566 |
| 0.58455 | 1.000565 |
| 0.584852 | 1.000565 |
| 0.585153 | 1.000565 |
| 0.585455 | 1.000565 |
| 0.585757 | 1.000565 |
| 0.586059 | 1.000565 |
| 0.586361 | 1.000565 |
| 0.586663 | 1.000565 |
| 0.586966 | 1.000565 |
| 0.587268 | 1.000565 |
| 0.587571 | 1.000565 |
| 0.587874 | 1.000565 |
| 0.588177 | 1.000565 |
| 0.588481 | 1.000565 |
| 0.588784 | 1.000565 |
| 0.589088 | 1.000565 |
| 0.589391 | 1.000565 |
| 0.589695 | 1.000565 |
| 0.589999 | 1.000565 |
| 0.590303 | 1.000565 |
| 0.590608 | 1.000565 |
| 0.590912 | 1.000565 |
| 0.591217 | 1.000565 |
| 0.591522 | 1.000565 |
| 0.591827 | 1.000565 |
| 0.592132 | 1.000565 |
| 0.592437 | 1.000565 |
| 0.592743 | 1.000565 |
| 0.593048 | 1.000565 |
| 0.593354 | 1.000565 |
| 0.59366 | 1.000565 |
| 0.593966 | 1.000565 |
| 0.594272 | 1.000565 |
| 0.594579 | 1.000565 |
| 0.594885 | 1.000565 |
| 0.595192 | 1.000565 |
| 0.595499 | 1.000565 |
| 0.595806 | 1.000565 |
| 0.596113 | 1.000565 |
| 0.59642 | 1.000565 |
| 0.596728 | 1.000565 |
| 0.597036 | 1.000565 |
| 0.597343 | 1.000565 |
| 0.597651 | 1.000564 |
| 0.59796 | 1.000564 |
| 0.598268 | 1.000564 |
| 0.598576 | 1.000564 |
| 0.598885 | 1.000564 |
| 0.599194 | 1.000564 |
| 0.599503 | 1.000564 |
| 0.599812 | 1.000564 |
| 0.600121 | 1.000564 |
| 0.600431 | 1.000564 |
| 0.60074 | 1.000564 |
| 0.60105 | 1.000564 |
| 0.60136 | 1.000564 |
| 0.60167 | 1.000564 |
| 0.60198 | 1.000564 |
| 0.60229 | 1.000564 |
| 0.602601 | 1.000564 |
| 0.602912 | 1.000564 |
| 0.603222 | 1.000564 |
| 0.603533 | 1.000564 |
| 0.603845 | 1.000564 |
| 0.604156 | 1.000564 |
| 0.604468 | 1.000564 |
| 0.604779 | 1.000564 |
| 0.605091 | 1.000564 |
| 0.605403 | 1.000564 |
| 0.605715 | 1.000564 |
| 0.606027 | 1.000564 |
| 0.60634 | 1.000564 |
| 0.606653 | 1.000564 |
| 0.606965 | 1.000564 |
| 0.607278 | 1.000564 |
| 0.607591 | 1.000564 |
| 0.607905 | 1.000564 |
| 0.608218 | 1.000564 |
| 0.608532 | 1.000564 |
| 0.608845 | 1.000564 |
| 0.609159 | 1.000564 |
| 0.609473 | 1.000564 |
| 0.609788 | 1.000564 |
| 0.610102 | 1.000564 |
| 0.610417 | 1.000564 |
| 0.610731 | 1.000564 |
| 0.611046 | 1.000564 |
| 0.611361 | 1.000564 |
| 0.611676 | 1.000563 |
| 0.611992 | 1.000563 |
| 0.612307 | 1.000563 |
| 0.612623 | 1.000563 |
| 0.612939 | 1.000563 |
| 0.613255 | 1.000563 |
| 0.613571 | 1.000563 |
| 0.613888 | 1.000563 |
| 0.614204 | 1.000563 |
| 0.614521 | 1.000563 |
| 0.614838 | 1.000563 |
| 0.615155 | 1.000563 |
| 0.615472 | 1.000563 |
| 0.615789 | 1.000563 |
| 0.616107 | 1.000563 |
| 0.616424 | 1.000563 |
| 0.616742 | 1.000563 |
| 0.61706 | 1.000563 |
| 0.617378 | 1.000563 |
| 0.617697 | 1.000563 |
| 0.618015 | 1.000563 |
| 0.618334 | 1.000563 |
| 0.618652 | 1.000563 |
| 0.618971 | 1.000563 |
| 0.619291 | 1.000563 |
| 0.61961 | 1.000563 |
| 0.619929 | 1.000563 |
| 0.620249 | 1.000563 |
| 0.620569 | 1.000563 |
| 0.620889 | 1.000563 |
| 0.621209 | 1.000563 |
| 0.621529 | 1.000563 |
| 0.62185 | 1.000563 |
| 0.62217 | 1.000563 |
| 0.622491 | 1.000563 |
| 0.622812 | 1.000563 |
| 0.623133 | 1.000563 |
| 0.623454 | 1.000563 |
| 0.623776 | 1.000563 |
| 0.624097 | 1.000563 |
| 0.624419 | 1.000563 |
| 0.624741 | 1.000563 |
| 0.625063 | 1.000563 |
| 0.625386 | 1.000563 |
| 0.625708 | 1.000563 |
| 0.626031 | 1.000563 |
| 0.626353 | 1.000563 |
| 0.626676 | 1.000562 |
| 0.626999 | 1.000562 |
| 0.627323 | 1.000562 |
| 0.627646 | 1.000562 |
| 0.62797 | 1.000562 |
| 0.628294 | 1.000562 |
| 0.628617 | 1.000562 |
| 0.628942 | 1.000562 |
| 0.629266 | 1.000562 |
| 0.62959 | 1.000562 |
| 0.629915 | 1.000562 |
| 0.63024 | 1.000562 |
| 0.630565 | 1.000562 |
| 0.63089 | 1.000562 |
| 0.631215 | 1.000562 |
| 0.631541 | 1.000562 |
| 0.631866 | 1.000562 |
| 0.632192 | 1.000562 |
| 0.632518 | 1.000562 |
| 0.632844 | 1.000562 |
| 0.63317 | 1.000562 |
| 0.633497 | 1.000562 |
| 0.633823 | 1.000562 |
| 0.63415 | 1.000562 |
| 0.634477 | 1.000562 |
| 0.634804 | 1.000562 |
| 0.635132 | 1.000562 |
| 0.635459 | 1.000562 |
| 0.635787 | 1.000562 |
| 0.636114 | 1.000562 |
| 0.636442 | 1.000562 |
| 0.636771 | 1.000562 |
| 0.637099 | 1.000562 |
| 0.637427 | 1.000562 |
| 0.637756 | 1.000562 |
| 0.638085 | 1.000562 |
| 0.638414 | 1.000562 |
| 0.638743 | 1.000562 |
| 0.639072 | 1.000562 |
| 0.639402 | 1.000562 |
| 0.639732 | 1.000562 |
| 0.640061 | 1.000562 |
| 0.640391 | 1.000562 |
| 0.640722 | 1.000562 |
| 0.641052 | 1.000562 |
| 0.641382 | 1.000562 |
| 0.641713 | 1.000562 |
| 0.642044 | 1.000562 |
| 0.642375 | 1.000562 |
| 0.642706 | 1.000561 |
| 0.643038 | 1.000561 |
| 0.643369 | 1.000561 |
| 0.643701 | 1.000561 |
| 0.644033 | 1.000561 |
| 0.644365 | 1.000561 |
| 0.644697 | 1.000561 |
| 0.645029 | 1.000561 |
| 0.645362 | 1.000561 |
| 0.645695 | 1.000561 |
| 0.646028 | 1.000561 |
| 0.646361 | 1.000561 |
| 0.646694 | 1.000561 |
| 0.647027 | 1.000561 |
| 0.647361 | 1.000561 |
| 0.647695 | 1.000561 |
| 0.648029 | 1.000561 |
| 0.648363 | 1.000561 |
| 0.648697 | 1.000561 |
| 0.649032 | 1.000561 |
| 0.649366 | 1.000561 |
| 0.649701 | 1.000561 |
| 0.650036 | 1.000561 |
| 0.650371 | 1.000561 |
| 0.650707 | 1.000561 |
| 0.651042 | 1.000561 |
| 0.651378 | 1.000561 |
| 0.651714 | 1.000561 |
| 0.65205 | 1.000561 |
| 0.652386 | 1.000561 |
| 0.652722 | 1.000561 |
| 0.653059 | 1.000561 |
| 0.653395 | 1.000561 |
| 0.653732 | 1.000561 |
| 0.654069 | 1.000561 |
| 0.654407 | 1.000561 |
| 0.654744 | 1.000561 |
| 0.655082 | 1.000561 |
| 0.655419 | 1.000561 |
| 0.655757 | 1.000561 |
| 0.656095 | 1.000561 |
| 0.656434 | 1.000561 |
| 0.656772 | 1.000561 |
| 0.657111 | 1.000561 |
| 0.65745 | 1.000561 |
| 0.657789 | 1.000561 |
| 0.658128 | 1.000561 |
| 0.658467 | 1.000561 |
| 0.658807 | 1.000561 |
| 0.659146 | 1.000561 |
| 0.659486 | 1.000561 |
| 0.659826 | 1.000561 |
| 0.660166 | 1.000561 |
| 0.660507 | 1.00056 |
| 0.660847 | 1.00056 |
| 0.661188 | 1.00056 |
| 0.661529 | 1.00056 |
| 0.66187 | 1.00056 |
| 0.662211 | 1.00056 |
| 0.662553 | 1.00056 |
| 0.662894 | 1.00056 |
| 0.663236 | 1.00056 |
| 0.663578 | 1.00056 |
| 0.66392 | 1.00056 |
| 0.664262 | 1.00056 |
| 0.664605 | 1.00056 |
| 0.664948 | 1.00056 |
| 0.66529 | 1.00056 |
| 0.665633 | 1.00056 |
| 0.665977 | 1.00056 |
| 0.66632 | 1.00056 |
| 0.666664 | 1.00056 |
| 0.667007 | 1.00056 |
| 0.667351 | 1.00056 |
| 0.667695 | 1.00056 |
| 0.66804 | 1.00056 |
| 0.668384 | 1.00056 |
| 0.668729 | 1.00056 |
| 0.669073 | 1.00056 |
| 0.669418 | 1.00056 |
| 0.669763 | 1.00056 |
| 0.670109 | 1.00056 |
| 0.670454 | 1.00056 |
| 0.6708 | 1.00056 |
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
- —
Standard conditions. 0 °C, 760 torr (101.325 kPa).