Optical constants
Refractive index of Cu2O (Copper(I) oxide)
Querry 1985: n,k 2.5–55.6 µm
- Data
- tabulated nk
- Range
- 2.5–55.56 µm
- Points
- 381
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.21649
- Extinction coefficient k
- 0.029252
- Permittivity ε1
- 4.91196
- Permittivity ε2
- 0.129673
- Absorption coefficient α
- 311.518 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 64201.8 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0428266 µm⁻¹
- Group index ng
- 2.72184
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 0.105071 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
# Cu2O (Copper(I) oxide): Querry 1985: n,k 2.5–55.6 µm
cu2o = ls.fetch_refractiveindex("main", "Cu2O", "Querry", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cu2o.range_nm) # (2500, 55555.6) nm
eps = cu2o.eps([11800]) # 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_eb49a5b22e3f/lightsmith"
cu2o = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cu2o.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (cu2o/querry-1985).
# ... load cu2o as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cu2o)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=2500, stop_nm=55560, 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.
Comments and conditions
- k < 0 at some wavelengths in the source data (gain, or a sign convention issue)
References
Cite
M. R. Querry. Optical constants, Contractor Report CRDC-CR-85034 (1985); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
383 rows as published| λ (µm) | n | k |
|---|---|---|
| 2.5 | 2.262 | 0.025 |
| 2.5063 | 2.267 | 0.026 |
| 2.5126 | 2.268 | 0.026 |
| 2.5189 | 2.268 | 0.026 |
| 2.5253 | 2.268 | 0.027 |
| 2.5316 | 2.268 | 0.027 |
| 2.5381 | 2.269 | 0.028 |
| 2.5445 | 2.27 | 0.028 |
| 2.551 | 2.27 | 0.028 |
| 2.5575 | 2.27 | 0.029 |
| 2.5641 | 2.27 | 0.029 |
| 2.5707 | 2.271 | 0.029 |
| 2.5773 | 2.271 | 0.029 |
| 2.584 | 2.272 | 0.029 |
| 2.5907 | 2.272 | 0.03 |
| 2.5974 | 2.272 | 0.03 |
| 2.6042 | 2.273 | 0.031 |
| 2.611 | 2.273 | 0.031 |
| 2.6178 | 2.274 | 0.031 |
| 2.6247 | 2.274 | 0.03 |
| 2.6316 | 2.274 | 0.031 |
| 2.6385 | 2.274 | 0.031 |
| 2.6455 | 2.274 | 0.031 |
| 2.6525 | 2.274 | 0.031 |
| 2.6596 | 2.274 | 0.032 |
| 2.6667 | 2.275 | 0.033 |
| 2.6738 | 2.276 | 0.033 |
| 2.681 | 2.277 | 0.033 |
| 2.6882 | 2.277 | 0.032 |
| 2.6954 | 2.277 | 0.032 |
| 2.7027 | 2.277 | 0.032 |
| 2.71 | 2.277 | 0.033 |
| 2.7174 | 2.277 | 0.033 |
| 2.7248 | 2.278 | 0.033 |
| 2.7322 | 2.278 | 0.032 |
| 2.7397 | 2.278 | 0.033 |
| 2.7473 | 2.278 | 0.033 |
| 2.7548 | 2.278 | 0.032 |
| 2.7624 | 2.278 | 0.033 |
| 2.7701 | 2.278 | 0.033 |
| 2.7778 | 2.278 | 0.033 |
| 2.7855 | 2.278 | 0.033 |
| 2.7933 | 2.278 | 0.033 |
| 2.8011 | 2.277 | 0.034 |
| 2.809 | 2.277 | 0.034 |
| 2.8169 | 2.277 | 0.035 |
| 2.8249 | 2.277 | 0.035 |
| 2.8329 | 2.277 | 0.036 |
| 2.8409 | 2.278 | 0.036 |
| 2.849 | 2.278 | 0.037 |
| 2.8571 | 2.278 | 0.037 |
| 2.8653 | 2.278 | 0.038 |
| 2.8736 | 2.279 | 0.038 |
| 2.8818 | 2.279 | 0.039 |
| 2.8902 | 2.28 | 0.039 |
| 2.8986 | 2.28 | 0.039 |
| 2.907 | 2.28 | 0.039 |
| 2.9155 | 2.28 | 0.04 |
| 2.924 | 2.281 | 0.04 |
| 2.9326 | 2.281 | 0.04 |
| 2.9412 | 2.281 | 0.04 |
| 2.9499 | 2.281 | 0.04 |
| 2.9586 | 2.281 | 0.041 |
| 2.9674 | 2.282 | 0.042 |
| 2.9762 | 2.283 | 0.042 |
| 2.9851 | 2.284 | 0.042 |
| 2.994 | 2.284 | 0.042 |
| 3.003 | 2.284 | 0.042 |
| 3.012 | 2.284 | 0.042 |
| 3.0211 | 2.285 | 0.043 |
| 3.0303 | 2.285 | 0.043 |
| 3.0395 | 2.286 | 0.043 |
| 3.0488 | 2.286 | 0.043 |
| 3.0581 | 2.286 | 0.043 |
| 3.0675 | 2.286 | 0.043 |
| 3.0769 | 2.286 | 0.044 |
| 3.0864 | 2.287 | 0.044 |
| 3.096 | 2.288 | 0.044 |
| 3.1056 | 2.288 | 0.044 |
| 3.1153 | 2.288 | 0.045 |
| 3.125 | 2.288 | 0.045 |
| 3.1348 | 2.289 | 0.045 |
| 3.1447 | 2.289 | 0.045 |
| 3.1546 | 2.29 | 0.045 |
| 3.1646 | 2.29 | 0.045 |
| 3.1746 | 2.291 | 0.046 |
| 3.1847 | 2.292 | 0.045 |
| 3.1949 | 2.292 | 0.045 |
| 3.2051 | 2.292 | 0.045 |
| 3.2154 | 2.292 | 0.045 |
| 3.2258 | 2.292 | 0.045 |
| 3.2362 | 2.293 | 0.045 |
| 3.268 | 2.294 | 0.046 |
| 3.268 | 2.293 | 0.046 |
| 3.2787 | 2.295 | 0.046 |
| 3.2895 | 2.295 | 0.046 |
| 3.3003 | 2.296 | 0.046 |
| 3.3113 | 2.296 | 0.046 |
| 3.3223 | 2.297 | 0.045 |
| 3.3223 | 2.293 | 0.046 |
| 3.3333 | 2.297 | 0.045 |
| 3.3445 | 2.297 | 0.045 |
| 3.3557 | 2.297 | 0.045 |
| 3.367 | 2.297 | 0.044 |
| 3.3784 | 2.297 | 0.045 |
| 3.3898 | 2.297 | 0.045 |
| 3.4014 | 2.297 | 0.045 |
| 3.413 | 2.298 | 0.045 |
| 3.4247 | 2.298 | 0.045 |
| 3.4364 | 2.298 | 0.045 |
| 3.4483 | 2.298 | 0.045 |
| 3.4602 | 2.298 | 0.046 |
| 3.4722 | 2.299 | 0.046 |
| 3.4843 | 2.299 | 0.046 |
| 3.4965 | 2.3 | 0.046 |
| 3.5088 | 2.3 | 0.046 |
| 3.5211 | 2.3 | 0.046 |
| 3.5336 | 2.301 | 0.046 |
| 3.5461 | 2.301 | 0.045 |
| 3.5587 | 2.301 | 0.045 |
| 3.5714 | 2.301 | 0.045 |
| 3.5842 | 2.302 | 0.045 |
| 3.5971 | 2.302 | 0.045 |
| 3.6101 | 2.302 | 0.045 |
| 3.6232 | 2.302 | 0.045 |
| 3.6364 | 2.302 | 0.045 |
| 3.6496 | 2.302 | 0.045 |
| 3.663 | 2.303 | 0.045 |
| 3.6765 | 2.303 | 0.045 |
| 3.69 | 2.303 | 0.045 |
| 3.7037 | 2.304 | 0.045 |
| 3.7175 | 2.304 | 0.045 |
| 3.7313 | 2.304 | 0.045 |
| 3.7453 | 2.305 | 0.043 |
| 3.7594 | 2.305 | 0.045 |
| 3.7736 | 2.305 | 0.044 |
| 3.7879 | 2.305 | 0.044 |
| 3.8023 | 2.305 | 0.044 |
| 3.8168 | 2.306 | 0.044 |
| 3.8314 | 2.306 | 0.044 |
| 3.8462 | 2.306 | 0.044 |
| 3.861 | 2.306 | 0.044 |
| 3.876 | 2.306 | 0.044 |
| 3.8911 | 2.306 | 0.043 |
| 3.9063 | 2.306 | 0.043 |
| 3.9216 | 2.306 | 0.043 |
| 3.937 | 2.307 | 0.043 |
| 3.9526 | 2.307 | 0.043 |
| 3.9683 | 2.307 | 0.043 |
| 3.9841 | 2.307 | 0.043 |
| 4.0 | 2.307 | 0.043 |
| 4.0161 | 2.307 | 0.043 |
| 4.0323 | 2.307 | 0.043 |
| 4.0486 | 2.307 | 0.043 |
| 4.065 | 2.307 | 0.044 |
| 4.0816 | 2.308 | 0.044 |
| 4.0984 | 2.308 | 0.043 |
| 4.1152 | 2.308 | 0.043 |
| 4.1322 | 2.308 | 0.043 |
| 4.1494 | 2.308 | 0.043 |
| 4.1667 | 2.309 | 0.043 |
| 4.1841 | 2.308 | 0.042 |
| 4.2017 | 2.308 | 0.043 |
| 4.2194 | 2.308 | 0.043 |
| 4.2373 | 2.308 | 0.043 |
| 4.2553 | 2.308 | 0.043 |
| 4.2735 | 2.309 | 0.043 |
| 4.2918 | 2.309 | 0.043 |
| 4.3103 | 2.309 | 0.043 |
| 4.329 | 2.309 | 0.043 |
| 4.3478 | 2.309 | 0.043 |
| 4.3668 | 2.309 | 0.042 |
| 4.386 | 2.309 | 0.042 |
| 4.4053 | 2.309 | 0.043 |
| 4.4248 | 2.31 | 0.043 |
| 4.4444 | 2.31 | 0.043 |
| 4.4643 | 2.31 | 0.042 |
| 4.4843 | 2.31 | 0.042 |
| 4.5045 | 2.31 | 0.042 |
| 4.5249 | 2.309 | 0.042 |
| 4.5455 | 2.31 | 0.042 |
| 4.5662 | 2.31 | 0.042 |
| 4.5872 | 2.31 | 0.042 |
| 4.6083 | 2.31 | 0.042 |
| 4.6296 | 2.309 | 0.042 |
| 4.6512 | 2.31 | 0.043 |
| 4.6729 | 2.31 | 0.043 |
| 4.6948 | 2.31 | 0.043 |
| 4.717 | 2.31 | 0.042 |
| 4.7393 | 2.31 | 0.042 |
| 4.7619 | 2.31 | 0.043 |
| 4.7847 | 2.31 | 0.043 |
| 4.8077 | 2.311 | 0.043 |
| 4.8309 | 2.311 | 0.043 |
| 4.8544 | 2.311 | 0.043 |
| 4.878 | 2.31 | 0.042 |
| 4.902 | 2.31 | 0.043 |
| 4.9261 | 2.31 | 0.043 |
| 4.9505 | 2.311 | 0.043 |
| 4.9751 | 2.31 | 0.043 |
| 5.0 | 2.31 | 0.044 |
| 5.0251 | 2.311 | 0.045 |
| 5.0505 | 2.312 | 0.045 |
| 5.0761 | 2.313 | 0.044 |
| 5.102 | 2.313 | 0.044 |
| 5.1282 | 2.313 | 0.044 |
| 5.1546 | 2.313 | 0.044 |
| 5.1813 | 2.314 | 0.044 |
| 5.2083 | 2.314 | 0.044 |
| 5.2356 | 2.314 | 0.043 |
| 5.2632 | 2.314 | 0.043 |
| 5.291 | 2.314 | 0.044 |
| 5.3191 | 2.315 | 0.043 |
| 5.3476 | 2.315 | 0.043 |
| 5.3763 | 2.313 | 0.043 |
| 5.4054 | 2.315 | 0.042 |
| 5.4348 | 2.315 | 0.042 |
| 5.4645 | 2.315 | 0.042 |
| 5.4945 | 2.315 | 0.042 |
| 5.5249 | 2.315 | 0.042 |
| 5.5556 | 2.315 | 0.041 |
| 5.5866 | 2.314 | 0.042 |
| 5.618 | 2.315 | 0.042 |
| 5.6497 | 2.315 | 0.042 |
| 5.6818 | 2.315 | 0.042 |
| 5.7143 | 2.315 | 0.042 |
| 5.7471 | 2.315 | 0.041 |
| 5.7803 | 2.315 | 0.041 |
| 5.814 | 2.315 | 0.041 |
| 5.848 | 2.315 | 0.04 |
| 5.8824 | 2.314 | 0.04 |
| 5.9172 | 2.314 | 0.04 |
| 5.9524 | 2.314 | 0.04 |
| 5.988 | 2.314 | 0.04 |
| 6.0241 | 2.314 | 0.04 |
| 6.0606 | 2.314 | 0.04 |
| 6.0976 | 2.314 | 0.04 |
| 6.135 | 2.314 | 0.04 |
| 6.1728 | 2.313 | 0.041 |
| 6.2112 | 2.313 | 0.041 |
| 6.25 | 2.313 | 0.041 |
| 6.2893 | 2.314 | 0.041 |
| 6.3291 | 2.314 | 0.041 |
| 6.3694 | 2.314 | 0.041 |
| 6.4103 | 2.314 | 0.04 |
| 6.4516 | 2.314 | 0.04 |
| 6.4935 | 2.314 | 0.04 |
| 6.5359 | 2.314 | 0.04 |
| 6.5789 | 2.314 | 0.04 |
| 6.6225 | 2.314 | 0.04 |
| 6.6667 | 2.314 | 0.039 |
| 6.7114 | 2.313 | 0.04 |
| 6.7568 | 2.313 | 0.04 |
| 6.8027 | 2.314 | 0.039 |
| 6.8493 | 2.313 | 0.039 |
| 6.8966 | 2.312 | 0.039 |
| 6.9444 | 2.312 | 0.039 |
| 6.993 | 2.312 | 0.04 |
| 7.0423 | 2.312 | 0.039 |
| 7.0922 | 2.312 | 0.04 |
| 7.1429 | 2.313 | 0.04 |
| 7.1942 | 2.313 | 0.04 |
| 7.2464 | 2.313 | 0.039 |
| 7.2993 | 2.314 | 0.039 |
| 7.3529 | 2.314 | 0.037 |
| 7.4074 | 2.313 | 0.037 |
| 7.4627 | 2.313 | 0.036 |
| 7.5188 | 2.312 | 0.036 |
| 7.5758 | 2.312 | 0.035 |
| 7.6336 | 2.312 | 0.034 |
| 7.6923 | 2.311 | 0.034 |
| 7.7519 | 2.31 | 0.033 |
| 7.8125 | 2.309 | 0.033 |
| 7.874 | 2.308 | 0.033 |
| 7.9365 | 2.307 | 0.032 |
| 8.0 | 2.307 | 0.032 |
| 8.0645 | 2.306 | 0.032 |
| 8.1301 | 2.305 | 0.031 |
| 8.1967 | 2.303 | 0.031 |
| 8.2645 | 2.302 | 0.031 |
| 8.3333 | 2.301 | 0.031 |
| 8.4034 | 2.299 | 0.031 |
| 8.4746 | 2.298 | 0.031 |
| 8.547 | 2.296 | 0.031 |
| 8.6207 | 2.294 | 0.032 |
| 8.6957 | 2.293 | 0.034 |
| 8.7719 | 2.293 | 0.036 |
| 8.8496 | 2.293 | 0.037 |
| 8.9286 | 2.294 | 0.038 |
| 9.009 | 2.296 | 0.037 |
| 9.0909 | 2.296 | 0.035 |
| 9.1743 | 2.295 | 0.033 |
| 9.2593 | 2.294 | 0.032 |
| 9.3458 | 2.292 | 0.031 |
| 9.434 | 2.291 | 0.03 |
| 9.5238 | 2.289 | 0.029 |
| 9.6154 | 2.286 | 0.028 |
| 9.7087 | 2.283 | 0.028 |
| 9.8039 | 2.281 | 0.028 |
| 9.901 | 2.278 | 0.029 |
| 10.0 | 2.277 | 0.03 |
| 10.101 | 2.276 | 0.029 |
| 10.2041 | 2.273 | 0.027 |
| 10.3093 | 2.27 | 0.027 |
| 10.4167 | 2.268 | 0.027 |
| 10.5263 | 2.265 | 0.027 |
| 10.6383 | 2.261 | 0.026 |
| 10.7527 | 2.257 | 0.026 |
| 10.8696 | 2.254 | 0.026 |
| 10.989 | 2.249 | 0.025 |
| 11.1111 | 2.245 | 0.025 |
| 11.236 | 2.24 | 0.026 |
| 11.3636 | 2.235 | 0.026 |
| 11.4943 | 2.229 | 0.027 |
| 11.6279 | 2.224 | 0.029 |
| 11.7647 | 2.218 | 0.029 |
| 11.9048 | 2.212 | 0.03 |
| 12.0482 | 2.205 | 0.03 |
| 12.1951 | 2.198 | 0.031 |
| 12.3457 | 2.19 | 0.032 |
| 12.5 | 2.181 | 0.033 |
| 12.6582 | 2.172 | 0.033 |
| 12.8205 | 2.161 | 0.032 |
| 12.987 | 2.148 | 0.03 |
| 13.1579 | 2.131 | 0.027 |
| 13.3333 | 2.109 | 0.027 |
| 13.5135 | 2.083 | 0.028 |
| 13.6986 | 2.051 | 0.031 |
| 13.8889 | 2.013 | 0.04 |
| 14.0845 | 1.971 | 0.054 |
| 14.2857 | 1.925 | 0.073 |
| 14.4928 | 1.871 | 0.087 |
| 14.7059 | 1.779 | 0.098 |
| 14.9254 | 1.616 | 0.147 |
| 15.1515 | 1.392 | 0.333 |
| 15.3846 | 1.25 | 0.736 |
| 15.625 | 1.384 | 1.275 |
| 15.873 | 1.856 | 1.694 |
| 16.129 | 2.525 | 1.822 |
| 16.3934 | 3.19 | 1.471 |
| 16.6667 | 3.366 | 0.852 |
| 16.9492 | 3.209 | 0.489 |
| 17.2414 | 3.057 | 0.33 |
| 17.5439 | 2.947 | 0.249 |
| 17.8571 | 2.868 | 0.2 |
| 18.1818 | 2.803 | 0.171 |
| 18.5185 | 2.755 | 0.158 |
| 18.8679 | 2.723 | 0.152 |
| 19.2308 | 2.704 | 0.146 |
| 19.6078 | 2.692 | 0.138 |
| 20.0 | 2.681 | 0.125 |
| 20.4082 | 2.672 | 0.113 |
| 20.8333 | 2.663 | 0.098 |
| 21.2766 | 2.65 | 0.083 |
| 21.7391 | 2.635 | 0.073 |
| 22.2222 | 2.622 | 0.069 |
| 22.7273 | 2.615 | 0.068 |
| 23.2558 | 2.615 | 0.064 |
| 23.8095 | 2.616 | 0.054 |
| 24.3902 | 2.613 | 0.039 |
| 25.0 | 2.604 | 0.023 |
| 25.641 | 2.59 | 0.012 |
| 26.3158 | 2.578 | 0.005 |
| 27.027 | 2.565 | -0.001 |
| 27.7778 | 2.553 | -0.002 |
| 28.5714 | 2.543 | -0.004 |
| 29.4118 | 2.535 | -0.002 |
| 30.303 | 2.531 | -0.002 |
| 31.25 | 2.528 | -0.003 |
| 32.2581 | 2.523 | -0.006 |
| 33.3333 | 2.519 | -0.008 |
| 34.4828 | 2.513 | -0.012 |
| 35.7143 | 2.506 | -0.012 |
| 37.037 | 2.502 | -0.013 |
| 38.4615 | 2.496 | -0.012 |
| 40.0 | 2.496 | -0.013 |
| 41.6667 | 2.49 | -0.018 |
| 43.4783 | 2.482 | -0.019 |
| 45.4545 | 2.481 | -0.007 |
| 47.619 | 2.483 | -0.023 |
| 50.0 | 2.467 | -0.021 |
| 52.6316 | 2.462 | -0.018 |
| 55.5556 | 2.456 | -0.012 |
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
- —
Cuprous oxide pellet.