Optical constants
Refractive index of C3H7NO (Dimethylformamide, DMF)
Li et al. 2022: n 0.215–1.7 µm
- Data
- formula 5
- Range
- 0.215–1.7 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.43292
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.05325
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 32.58
- Chromatic dispersion dn/dλ
- -0.070973 µm⁻¹
- Group index ng
- 1.47462
- Group velocity dispersion
- 101.723 fs²/mm
- Dispersion parameter D
- -554.953 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
# C3H7NO (Dimethylformamide, DMF): Li et al. 2022: n 0.215–1.7 µm
c3h7no = ls.fetch_refractiveindex("organic", "dimethylformamide", "Li", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c3h7no.range_nm) # (215, 1700) nm
eps = c3h7no.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_cd3ccee7d6e7/lightsmith"
c3h7no = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c3h7no.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (dimethylformamide/li-2022).
# ... load c3h7no as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c3h7no)],
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"]).
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 0.215 to 1.7 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.4074 |
| C2 | 0.01085 |
| C3 | -2.0 |
| C4 | -0.0008528 |
| C5 | -4.0 |
| C6 | 5.124e-05 |
| C7 | -6.0 |
Comments and conditions
References
- doi:10.1016/j.infrared.2022.104313 Ellipsometry-transmission measurement of the complex refractive indices for a series of organic solvents in the 200–1700 nm spectral range, Infrared Physics & Technology (2022)
Cite
Xiaoning Li, Chengchao Wang, Lanxin Ma and Linhua Liu. Ellipsometry-transmission measurement of the complex refractive indices for a series of organic solvents in the 200–1700 nm spectral range. Infrared Physics & Technology, 125, 104313 (2022), doi:10.1016/j.infrared.2022.104313; 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 |
|---|---|
| 0.215 | 1.761785 |
| 0.216117 | 1.75167 |
| 0.21724 | 1.741899 |
| 0.218369 | 1.732459 |
| 0.219503 | 1.723339 |
| 0.220644 | 1.714529 |
| 0.22179 | 1.706017 |
| 0.222943 | 1.697794 |
| 0.224101 | 1.689849 |
| 0.225265 | 1.682174 |
| 0.226436 | 1.674758 |
| 0.227612 | 1.667593 |
| 0.228795 | 1.660671 |
| 0.229984 | 1.653982 |
| 0.231179 | 1.647519 |
| 0.23238 | 1.641274 |
| 0.233587 | 1.63524 |
| 0.234801 | 1.629409 |
| 0.236021 | 1.623775 |
| 0.237247 | 1.61833 |
| 0.23848 | 1.613067 |
| 0.239719 | 1.607981 |
| 0.240964 | 1.603066 |
| 0.242216 | 1.598315 |
| 0.243475 | 1.593723 |
| 0.24474 | 1.589284 |
| 0.246012 | 1.584993 |
| 0.24729 | 1.580844 |
| 0.248575 | 1.576833 |
| 0.249866 | 1.572956 |
| 0.251164 | 1.569206 |
| 0.252469 | 1.56558 |
| 0.253781 | 1.562074 |
| 0.2551 | 1.558683 |
| 0.256425 | 1.555402 |
| 0.257757 | 1.55223 |
| 0.259097 | 1.54916 |
| 0.260443 | 1.546191 |
| 0.261796 | 1.543317 |
| 0.263156 | 1.540537 |
| 0.264524 | 1.537846 |
| 0.265898 | 1.535242 |
| 0.26728 | 1.532721 |
| 0.268668 | 1.53028 |
| 0.270064 | 1.527917 |
| 0.271467 | 1.525629 |
| 0.272878 | 1.523413 |
| 0.274296 | 1.521266 |
| 0.275721 | 1.519187 |
| 0.277154 | 1.517172 |
| 0.278594 | 1.515219 |
| 0.280041 | 1.513327 |
| 0.281496 | 1.511493 |
| 0.282959 | 1.509714 |
| 0.284429 | 1.50799 |
| 0.285907 | 1.506318 |
| 0.287392 | 1.504695 |
| 0.288885 | 1.503121 |
| 0.290386 | 1.501594 |
| 0.291895 | 1.500111 |
| 0.293412 | 1.498672 |
| 0.294936 | 1.497275 |
| 0.296469 | 1.495917 |
| 0.298009 | 1.494599 |
| 0.299558 | 1.493318 |
| 0.301114 | 1.492073 |
| 0.302678 | 1.490863 |
| 0.304251 | 1.489686 |
| 0.305832 | 1.488541 |
| 0.307421 | 1.487428 |
| 0.309018 | 1.486345 |
| 0.310624 | 1.48529 |
| 0.312238 | 1.484264 |
| 0.31386 | 1.483264 |
| 0.315491 | 1.48229 |
| 0.31713 | 1.481341 |
| 0.318778 | 1.480417 |
| 0.320434 | 1.479515 |
| 0.322099 | 1.478636 |
| 0.323773 | 1.477778 |
| 0.325455 | 1.476941 |
| 0.327146 | 1.476124 |
| 0.328846 | 1.475327 |
| 0.330554 | 1.474548 |
| 0.332272 | 1.473787 |
| 0.333998 | 1.473043 |
| 0.335733 | 1.472316 |
| 0.337478 | 1.471605 |
| 0.339231 | 1.47091 |
| 0.340994 | 1.47023 |
| 0.342766 | 1.469564 |
| 0.344547 | 1.468912 |
| 0.346337 | 1.468273 |
| 0.348136 | 1.467647 |
| 0.349945 | 1.467034 |
| 0.351763 | 1.466433 |
| 0.353591 | 1.465844 |
| 0.355428 | 1.465265 |
| 0.357275 | 1.464698 |
| 0.359131 | 1.464141 |
| 0.360997 | 1.463594 |
| 0.362873 | 1.463057 |
| 0.364758 | 1.46253 |
| 0.366653 | 1.462011 |
| 0.368558 | 1.461501 |
| 0.370473 | 1.461 |
| 0.372398 | 1.460507 |
| 0.374333 | 1.460022 |
| 0.376278 | 1.459544 |
| 0.378233 | 1.459074 |
| 0.380198 | 1.458611 |
| 0.382174 | 1.458155 |
| 0.384159 | 1.457706 |
| 0.386155 | 1.457263 |
| 0.388162 | 1.456826 |
| 0.390179 | 1.456396 |
| 0.392206 | 1.455971 |
| 0.394244 | 1.455553 |
| 0.396292 | 1.455139 |
| 0.398351 | 1.454731 |
| 0.400421 | 1.454328 |
| 0.402501 | 1.453931 |
| 0.404593 | 1.453538 |
| 0.406695 | 1.45315 |
| 0.408808 | 1.452766 |
| 0.410932 | 1.452387 |
| 0.413067 | 1.452012 |
| 0.415213 | 1.451642 |
| 0.417371 | 1.451275 |
| 0.419539 | 1.450913 |
| 0.421719 | 1.450554 |
| 0.42391 | 1.4502 |
| 0.426113 | 1.449848 |
| 0.428327 | 1.449501 |
| 0.430552 | 1.449157 |
| 0.432789 | 1.448816 |
| 0.435038 | 1.448479 |
| 0.437298 | 1.448145 |
| 0.439571 | 1.447814 |
| 0.441854 | 1.447486 |
| 0.44415 | 1.447161 |
| 0.446458 | 1.446839 |
| 0.448778 | 1.44652 |
| 0.451109 | 1.446204 |
| 0.453453 | 1.445891 |
| 0.455809 | 1.44558 |
| 0.458178 | 1.445272 |
| 0.460558 | 1.444967 |
| 0.462951 | 1.444664 |
| 0.465356 | 1.444363 |
| 0.467774 | 1.444065 |
| 0.470205 | 1.44377 |
| 0.472648 | 1.443476 |
| 0.475104 | 1.443185 |
| 0.477572 | 1.442897 |
| 0.480054 | 1.44261 |
| 0.482548 | 1.442326 |
| 0.485055 | 1.442044 |
| 0.487575 | 1.441764 |
| 0.490109 | 1.441486 |
| 0.492655 | 1.441211 |
| 0.495215 | 1.440937 |
| 0.497788 | 1.440665 |
| 0.500374 | 1.440396 |
| 0.502974 | 1.440128 |
| 0.505587 | 1.439862 |
| 0.508214 | 1.439599 |
| 0.510855 | 1.439337 |
| 0.513509 | 1.439077 |
| 0.516177 | 1.438818 |
| 0.518859 | 1.438562 |
| 0.521555 | 1.438307 |
| 0.524265 | 1.438055 |
| 0.526989 | 1.437804 |
| 0.529727 | 1.437554 |
| 0.532479 | 1.437307 |
| 0.535246 | 1.437061 |
| 0.538027 | 1.436817 |
| 0.540822 | 1.436575 |
| 0.543632 | 1.436334 |
| 0.546457 | 1.436095 |
| 0.549296 | 1.435858 |
| 0.55215 | 1.435622 |
| 0.555019 | 1.435388 |
| 0.557903 | 1.435155 |
| 0.560802 | 1.434925 |
| 0.563715 | 1.434695 |
| 0.566644 | 1.434468 |
| 0.569588 | 1.434241 |
| 0.572548 | 1.434017 |
| 0.575523 | 1.433794 |
| 0.578513 | 1.433572 |
| 0.581519 | 1.433353 |
| 0.58454 | 1.433134 |
| 0.587577 | 1.432917 |
| 0.59063 | 1.432702 |
| 0.593699 | 1.432488 |
| 0.596784 | 1.432276 |
| 0.599885 | 1.432065 |
| 0.603001 | 1.431855 |
| 0.606135 | 1.431647 |
| 0.609284 | 1.431441 |
| 0.61245 | 1.431236 |
| 0.615632 | 1.431032 |
| 0.61883 | 1.43083 |
| 0.622046 | 1.430629 |
| 0.625278 | 1.43043 |
| 0.628526 | 1.430232 |
| 0.631792 | 1.430035 |
| 0.635075 | 1.42984 |
| 0.638375 | 1.429646 |
| 0.641691 | 1.429454 |
| 0.645025 | 1.429263 |
| 0.648377 | 1.429073 |
| 0.651746 | 1.428885 |
| 0.655132 | 1.428698 |
| 0.658536 | 1.428513 |
| 0.661958 | 1.428329 |
| 0.665397 | 1.428146 |
| 0.668854 | 1.427964 |
| 0.672329 | 1.427784 |
| 0.675823 | 1.427605 |
| 0.679334 | 1.427428 |
| 0.682864 | 1.427251 |
| 0.686412 | 1.427077 |
| 0.689978 | 1.426903 |
| 0.693563 | 1.426731 |
| 0.697167 | 1.42656 |
| 0.700789 | 1.42639 |
| 0.70443 | 1.426221 |
| 0.70809 | 1.426054 |
| 0.711769 | 1.425888 |
| 0.715467 | 1.425723 |
| 0.719185 | 1.42556 |
| 0.722922 | 1.425398 |
| 0.726678 | 1.425237 |
| 0.730453 | 1.425077 |
| 0.734249 | 1.424918 |
| 0.738064 | 1.424761 |
| 0.741898 | 1.424605 |
| 0.745753 | 1.42445 |
| 0.749628 | 1.424296 |
| 0.753523 | 1.424144 |
| 0.757438 | 1.423992 |
| 0.761373 | 1.423842 |
| 0.765329 | 1.423693 |
| 0.769306 | 1.423545 |
| 0.773303 | 1.423399 |
| 0.777321 | 1.423253 |
| 0.78136 | 1.423109 |
| 0.785419 | 1.422966 |
| 0.7895 | 1.422824 |
| 0.793602 | 1.422683 |
| 0.797726 | 1.422543 |
| 0.801871 | 1.422404 |
| 0.806037 | 1.422267 |
| 0.810225 | 1.42213 |
| 0.814435 | 1.421995 |
| 0.818666 | 1.421861 |
| 0.82292 | 1.421727 |
| 0.827196 | 1.421595 |
| 0.831493 | 1.421464 |
| 0.835814 | 1.421334 |
| 0.840156 | 1.421205 |
| 0.844522 | 1.421077 |
| 0.84891 | 1.420951 |
| 0.85332 | 1.420825 |
| 0.857754 | 1.4207 |
| 0.862211 | 1.420577 |
| 0.866691 | 1.420454 |
| 0.871194 | 1.420332 |
| 0.87572 | 1.420212 |
| 0.88027 | 1.420092 |
| 0.884844 | 1.419973 |
| 0.889441 | 1.419856 |
| 0.894063 | 1.419739 |
| 0.898708 | 1.419624 |
| 0.903378 | 1.419509 |
| 0.908071 | 1.419395 |
| 0.912789 | 1.419282 |
| 0.917532 | 1.419171 |
| 0.922299 | 1.41906 |
| 0.927091 | 1.41895 |
| 0.931908 | 1.418841 |
| 0.93675 | 1.418733 |
| 0.941617 | 1.418626 |
| 0.94651 | 1.41852 |
| 0.951428 | 1.418414 |
| 0.956371 | 1.41831 |
| 0.96134 | 1.418207 |
| 0.966335 | 1.418104 |
| 0.971356 | 1.418002 |
| 0.976403 | 1.417902 |
| 0.981476 | 1.417802 |
| 0.986576 | 1.417703 |
| 0.991702 | 1.417605 |
| 0.996854 | 1.417507 |
| 1.00203 | 1.417411 |
| 1.00724 | 1.417315 |
| 1.01247 | 1.41722 |
| 1.01773 | 1.417126 |
| 1.02302 | 1.417033 |
| 1.02834 | 1.416941 |
| 1.03368 | 1.41685 |
| 1.03905 | 1.416759 |
| 1.04445 | 1.416669 |
| 1.04988 | 1.41658 |
| 1.05533 | 1.416492 |
| 1.06081 | 1.416404 |
| 1.06633 | 1.416317 |
| 1.07187 | 1.416232 |
| 1.07744 | 1.416146 |
| 1.08303 | 1.416062 |
| 1.08866 | 1.415978 |
| 1.09432 | 1.415895 |
| 1.1 | 1.415813 |
| 1.10572 | 1.415732 |
| 1.11146 | 1.415651 |
| 1.11724 | 1.415571 |
| 1.12304 | 1.415492 |
| 1.12888 | 1.415414 |
| 1.13474 | 1.415336 |
| 1.14064 | 1.415259 |
| 1.14657 | 1.415182 |
| 1.15252 | 1.415107 |
| 1.15851 | 1.415032 |
| 1.16453 | 1.414958 |
| 1.17058 | 1.414884 |
| 1.17666 | 1.414811 |
| 1.18278 | 1.414739 |
| 1.18892 | 1.414667 |
| 1.1951 | 1.414596 |
| 1.20131 | 1.414526 |
| 1.20755 | 1.414456 |
| 1.21383 | 1.414387 |
| 1.22013 | 1.414319 |
| 1.22647 | 1.414251 |
| 1.23284 | 1.414184 |
| 1.23925 | 1.414118 |
| 1.24569 | 1.414052 |
| 1.25216 | 1.413986 |
| 1.25867 | 1.413922 |
| 1.26521 | 1.413858 |
| 1.27178 | 1.413794 |
| 1.27839 | 1.413731 |
| 1.28503 | 1.413669 |
| 1.29171 | 1.413608 |
| 1.29842 | 1.413546 |
| 1.30517 | 1.413486 |
| 1.31195 | 1.413426 |
| 1.31876 | 1.413367 |
| 1.32562 | 1.413308 |
| 1.3325 | 1.413249 |
| 1.33943 | 1.413192 |
| 1.34639 | 1.413134 |
| 1.35338 | 1.413078 |
| 1.36041 | 1.413022 |
| 1.36748 | 1.412966 |
| 1.37459 | 1.412911 |
| 1.38173 | 1.412856 |
| 1.38891 | 1.412802 |
| 1.39612 | 1.412749 |
| 1.40338 | 1.412696 |
| 1.41067 | 1.412643 |
| 1.418 | 1.412591 |
| 1.42537 | 1.41254 |
| 1.43277 | 1.412489 |
| 1.44022 | 1.412438 |
| 1.4477 | 1.412388 |
| 1.45522 | 1.412339 |
| 1.46278 | 1.41229 |
| 1.47038 | 1.412241 |
| 1.47802 | 1.412193 |
| 1.4857 | 1.412145 |
| 1.49342 | 1.412098 |
| 1.50118 | 1.412051 |
| 1.50898 | 1.412005 |
| 1.51682 | 1.411959 |
| 1.5247 | 1.411914 |
| 1.53262 | 1.411868 |
| 1.54059 | 1.411824 |
| 1.54859 | 1.41178 |
| 1.55664 | 1.411736 |
| 1.56473 | 1.411693 |
| 1.57286 | 1.41165 |
| 1.58103 | 1.411607 |
| 1.58924 | 1.411565 |
| 1.5975 | 1.411524 |
| 1.6058 | 1.411482 |
| 1.61414 | 1.411442 |
| 1.62253 | 1.411401 |
| 1.63096 | 1.411361 |
| 1.63944 | 1.411321 |
| 1.64795 | 1.411282 |
| 1.65652 | 1.411243 |
| 1.66512 | 1.411205 |
| 1.67377 | 1.411167 |
| 1.68247 | 1.411129 |
| 1.69121 | 1.411091 |
| 1.7 | 1.411054 |
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
- —
Room temperature.