Optical constants
Refractive index of BN (Boron nitride)
Zotev et al. 2023: h-BN; n,k(o) 0.36–1.0 µm
- Data
- tabulated n
- Range
- 0.36–1 µm
- Points
- 402
- Optical axis
- o
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.12921
- Extinction coefficient k
- 0
- Permittivity ε1
- 4.53351
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0625 µm⁻¹
- Group index ng
- 2.16593
- 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
# BN (Boron nitride): Zotev et al. 2023: h-BN; n,k(o) 0.36–1.0 µm
bn = ls.fetch_refractiveindex("main", "BN", "Zotev-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(bn.range_nm) # (360, 1000) nm
eps = bn.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_fca636a88a95/lightsmith"
bn = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(bn.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (bn/zotev-2023-o).
# ... load bn as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=bn)],
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.
Comments and conditions
Conditions
- direction
- o
References
- doi:10.1002/lpor.202200957 Van der Waals Materials for Applications in Nanophotonics, Laser & Photonics Reviews (2023)
Cite
Panaiot G. Zotev et al.. Van der Waals Materials for Applications in Nanophotonics. Laser & Photonics Reviews, 17, 2200957 (2023), doi:10.1002/lpor.202200957; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
402 rows as published| λ (µm) | n |
|---|---|
| 0.36 | 2.16046 |
| 0.3616 | 2.16001 |
| 0.3632 | 2.15956 |
| 0.3648 | 2.15911 |
| 0.3664 | 2.15868 |
| 0.368 | 2.15825 |
| 0.3696 | 2.15782 |
| 0.3712 | 2.1574 |
| 0.3728 | 2.15699 |
| 0.3744 | 2.15658 |
| 0.376 | 2.15618 |
| 0.3776 | 2.15579 |
| 0.3792 | 2.1554 |
| 0.3808 | 2.15501 |
| 0.3824 | 2.15463 |
| 0.384 | 2.15425 |
| 0.3856 | 2.15388 |
| 0.3872 | 2.15352 |
| 0.3888 | 2.15315 |
| 0.3904 | 2.1528 |
| 0.392 | 2.15245 |
| 0.3936 | 2.1521 |
| 0.3952 | 2.15176 |
| 0.3968 | 2.15142 |
| 0.3984 | 2.15108 |
| 0.4 | 2.15075 |
| 0.4016 | 2.15043 |
| 0.4032 | 2.15011 |
| 0.4048 | 2.14979 |
| 0.4064 | 2.14947 |
| 0.408 | 2.14916 |
| 0.4096 | 2.14886 |
| 0.4112 | 2.14855 |
| 0.4128 | 2.14826 |
| 0.4144 | 2.14796 |
| 0.416 | 2.14767 |
| 0.4176 | 2.14738 |
| 0.4192 | 2.1471 |
| 0.4208 | 2.14681 |
| 0.4224 | 2.14654 |
| 0.424 | 2.14626 |
| 0.4256 | 2.14599 |
| 0.4272 | 2.14572 |
| 0.4288 | 2.14546 |
| 0.4304 | 2.1452 |
| 0.432 | 2.14494 |
| 0.4336 | 2.14468 |
| 0.4352 | 2.14443 |
| 0.4368 | 2.14418 |
| 0.4384 | 2.14393 |
| 0.44 | 2.14369 |
| 0.4416 | 2.14344 |
| 0.4432 | 2.1432 |
| 0.4448 | 2.14297 |
| 0.4464 | 2.14273 |
| 0.448 | 2.1425 |
| 0.4496 | 2.14227 |
| 0.4512 | 2.14205 |
| 0.4528 | 2.14183 |
| 0.4544 | 2.1416 |
| 0.456 | 2.14139 |
| 0.4576 | 2.14117 |
| 0.4592 | 2.14095 |
| 0.4608 | 2.14074 |
| 0.4624 | 2.14053 |
| 0.464 | 2.14033 |
| 0.4656 | 2.14012 |
| 0.4672 | 2.13992 |
| 0.4688 | 2.13972 |
| 0.4704 | 2.13952 |
| 0.472 | 2.13932 |
| 0.4736 | 2.13913 |
| 0.4752 | 2.13894 |
| 0.4768 | 2.13875 |
| 0.4784 | 2.13856 |
| 0.48 | 2.13837 |
| 0.4816 | 2.13819 |
| 0.4832 | 2.13801 |
| 0.4848 | 2.13783 |
| 0.4864 | 2.13765 |
| 0.488 | 2.13747 |
| 0.4896 | 2.13729 |
| 0.4912 | 2.13712 |
| 0.4928 | 2.13695 |
| 0.4944 | 2.13678 |
| 0.496 | 2.13661 |
| 0.4976 | 2.13644 |
| 0.4992 | 2.13628 |
| 0.5008 | 2.13612 |
| 0.5024 | 2.13595 |
| 0.504 | 2.13579 |
| 0.5056 | 2.13564 |
| 0.5072 | 2.13548 |
| 0.5088 | 2.13532 |
| 0.5104 | 2.13517 |
| 0.512 | 2.13502 |
| 0.5136 | 2.13487 |
| 0.5152 | 2.13472 |
| 0.5168 | 2.13457 |
| 0.5184 | 2.13442 |
| 0.52 | 2.13428 |
| 0.5216 | 2.13413 |
| 0.5232 | 2.13399 |
| 0.5248 | 2.13385 |
| 0.5264 | 2.13371 |
| 0.528 | 2.13357 |
| 0.5296 | 2.13343 |
| 0.5312 | 2.1333 |
| 0.5321 | 2.13322 |
| 0.5328 | 2.13316 |
| 0.5344 | 2.13303 |
| 0.536 | 2.1329 |
| 0.5376 | 2.13276 |
| 0.5392 | 2.13263 |
| 0.5408 | 2.13251 |
| 0.5424 | 2.13238 |
| 0.544 | 2.13225 |
| 0.5456 | 2.13213 |
| 0.5472 | 2.132 |
| 0.5488 | 2.13188 |
| 0.5504 | 2.13176 |
| 0.552 | 2.13164 |
| 0.5536 | 2.13152 |
| 0.5552 | 2.1314 |
| 0.5568 | 2.13128 |
| 0.5584 | 2.13116 |
| 0.56 | 2.13105 |
| 0.5616 | 2.13093 |
| 0.5632 | 2.13082 |
| 0.5648 | 2.13071 |
| 0.5664 | 2.1306 |
| 0.568 | 2.13048 |
| 0.5696 | 2.13037 |
| 0.5712 | 2.13027 |
| 0.5728 | 2.13016 |
| 0.5744 | 2.13005 |
| 0.576 | 2.12995 |
| 0.5776 | 2.12984 |
| 0.5792 | 2.12974 |
| 0.5808 | 2.12963 |
| 0.5824 | 2.12953 |
| 0.584 | 2.12943 |
| 0.5856 | 2.12933 |
| 0.5872 | 2.12923 |
| 0.5888 | 2.12913 |
| 0.5904 | 2.12903 |
| 0.592 | 2.12893 |
| 0.5936 | 2.12884 |
| 0.5952 | 2.12874 |
| 0.5968 | 2.12865 |
| 0.5984 | 2.12855 |
| 0.6 | 2.12846 |
| 0.6016 | 2.12837 |
| 0.6032 | 2.12827 |
| 0.6048 | 2.12818 |
| 0.6064 | 2.12809 |
| 0.608 | 2.128 |
| 0.6096 | 2.12791 |
| 0.6112 | 2.12782 |
| 0.6128 | 2.12774 |
| 0.6144 | 2.12765 |
| 0.616 | 2.12756 |
| 0.6176 | 2.12748 |
| 0.6192 | 2.12739 |
| 0.6208 | 2.12731 |
| 0.6224 | 2.12723 |
| 0.624 | 2.12714 |
| 0.6256 | 2.12706 |
| 0.6272 | 2.12698 |
| 0.6288 | 2.1269 |
| 0.6304 | 2.12682 |
| 0.632 | 2.12674 |
| 0.6336 | 2.12666 |
| 0.6352 | 2.12658 |
| 0.6368 | 2.1265 |
| 0.6384 | 2.12643 |
| 0.64 | 2.12635 |
| 0.6416 | 2.12627 |
| 0.6432 | 2.1262 |
| 0.6448 | 2.12612 |
| 0.6464 | 2.12605 |
| 0.648 | 2.12597 |
| 0.6496 | 2.1259 |
| 0.6512 | 2.12583 |
| 0.6528 | 2.12576 |
| 0.6544 | 2.12568 |
| 0.656 | 2.12561 |
| 0.6576 | 2.12554 |
| 0.6592 | 2.12547 |
| 0.6608 | 2.1254 |
| 0.6624 | 2.12533 |
| 0.664 | 2.12526 |
| 0.6656 | 2.1252 |
| 0.6672 | 2.12513 |
| 0.6688 | 2.12506 |
| 0.6704 | 2.125 |
| 0.672 | 2.12493 |
| 0.6736 | 2.12486 |
| 0.6752 | 2.1248 |
| 0.6768 | 2.12473 |
| 0.6784 | 2.12467 |
| 0.68 | 2.12461 |
| 0.6816 | 2.12454 |
| 0.6832 | 2.12448 |
| 0.6848 | 2.12442 |
| 0.6864 | 2.12436 |
| 0.688 | 2.12429 |
| 0.6896 | 2.12423 |
| 0.6912 | 2.12417 |
| 0.6928 | 2.12411 |
| 0.6944 | 2.12405 |
| 0.696 | 2.12399 |
| 0.6976 | 2.12393 |
| 0.6992 | 2.12388 |
| 0.7008 | 2.12382 |
| 0.7024 | 2.12376 |
| 0.704 | 2.1237 |
| 0.7056 | 2.12365 |
| 0.7072 | 2.12359 |
| 0.7088 | 2.12353 |
| 0.7104 | 2.12348 |
| 0.712 | 2.12342 |
| 0.7136 | 2.12337 |
| 0.7152 | 2.12331 |
| 0.7168 | 2.12326 |
| 0.7184 | 2.1232 |
| 0.72 | 2.12315 |
| 0.7216 | 2.1231 |
| 0.7232 | 2.12305 |
| 0.7248 | 2.12299 |
| 0.7264 | 2.12294 |
| 0.728 | 2.12289 |
| 0.7296 | 2.12284 |
| 0.7312 | 2.12279 |
| 0.7328 | 2.12274 |
| 0.7344 | 2.12269 |
| 0.736 | 2.12264 |
| 0.7376 | 2.12259 |
| 0.7392 | 2.12254 |
| 0.7408 | 2.12249 |
| 0.7424 | 2.12244 |
| 0.744 | 2.12239 |
| 0.7456 | 2.12234 |
| 0.7472 | 2.12229 |
| 0.7488 | 2.12225 |
| 0.7504 | 2.1222 |
| 0.752 | 2.12215 |
| 0.7536 | 2.12211 |
| 0.7552 | 2.12206 |
| 0.7568 | 2.12201 |
| 0.7584 | 2.12197 |
| 0.76 | 2.12192 |
| 0.7616 | 2.12188 |
| 0.7632 | 2.12183 |
| 0.7648 | 2.12179 |
| 0.7664 | 2.12174 |
| 0.768 | 2.1217 |
| 0.7696 | 2.12166 |
| 0.7712 | 2.12161 |
| 0.7728 | 2.12157 |
| 0.7744 | 2.12153 |
| 0.776 | 2.12148 |
| 0.7776 | 2.12144 |
| 0.7792 | 2.1214 |
| 0.7808 | 2.12136 |
| 0.7824 | 2.12132 |
| 0.784 | 2.12128 |
| 0.7856 | 2.12123 |
| 0.7872 | 2.12119 |
| 0.7888 | 2.12115 |
| 0.7904 | 2.12111 |
| 0.792 | 2.12107 |
| 0.7936 | 2.12103 |
| 0.7952 | 2.12099 |
| 0.7968 | 2.12095 |
| 0.7984 | 2.12092 |
| 0.8 | 2.12088 |
| 0.8016 | 2.12084 |
| 0.8032 | 2.1208 |
| 0.8048 | 2.12076 |
| 0.8064 | 2.12072 |
| 0.808 | 2.12069 |
| 0.8096 | 2.12065 |
| 0.8112 | 2.12061 |
| 0.8128 | 2.12057 |
| 0.8144 | 2.12054 |
| 0.816 | 2.1205 |
| 0.8176 | 2.12046 |
| 0.8192 | 2.12043 |
| 0.8208 | 2.12039 |
| 0.8224 | 2.12036 |
| 0.824 | 2.12032 |
| 0.8256 | 2.12029 |
| 0.8272 | 2.12025 |
| 0.8288 | 2.12022 |
| 0.8304 | 2.12018 |
| 0.832 | 2.12015 |
| 0.8336 | 2.12011 |
| 0.8352 | 2.12008 |
| 0.8368 | 2.12004 |
| 0.8384 | 2.12001 |
| 0.84 | 2.11998 |
| 0.8416 | 2.11994 |
| 0.8432 | 2.11991 |
| 0.8448 | 2.11988 |
| 0.8464 | 2.11985 |
| 0.848 | 2.11981 |
| 0.8496 | 2.11978 |
| 0.8512 | 2.11975 |
| 0.8528 | 2.11972 |
| 0.8544 | 2.11968 |
| 0.856 | 2.11965 |
| 0.8576 | 2.11962 |
| 0.8592 | 2.11959 |
| 0.8608 | 2.11956 |
| 0.8624 | 2.11953 |
| 0.864 | 2.1195 |
| 0.8656 | 2.11947 |
| 0.8672 | 2.11944 |
| 0.8688 | 2.11941 |
| 0.8704 | 2.11938 |
| 0.872 | 2.11935 |
| 0.8736 | 2.11932 |
| 0.8752 | 2.11929 |
| 0.8768 | 2.11926 |
| 0.8784 | 2.11923 |
| 0.88 | 2.1192 |
| 0.8816 | 2.11917 |
| 0.8832 | 2.11914 |
| 0.8848 | 2.11911 |
| 0.8864 | 2.11909 |
| 0.888 | 2.11906 |
| 0.8896 | 2.11903 |
| 0.8912 | 2.119 |
| 0.8928 | 2.11897 |
| 0.8944 | 2.11895 |
| 0.896 | 2.11892 |
| 0.8976 | 2.11889 |
| 0.8992 | 2.11886 |
| 0.9008 | 2.11884 |
| 0.9024 | 2.11881 |
| 0.904 | 2.11878 |
| 0.9056 | 2.11876 |
| 0.9072 | 2.11873 |
| 0.9088 | 2.1187 |
| 0.9104 | 2.11868 |
| 0.912 | 2.11865 |
| 0.9136 | 2.11862 |
| 0.9152 | 2.1186 |
| 0.9168 | 2.11857 |
| 0.9184 | 2.11855 |
| 0.92 | 2.11852 |
| 0.9216 | 2.1185 |
| 0.9232 | 2.11847 |
| 0.9248 | 2.11845 |
| 0.9264 | 2.11842 |
| 0.928 | 2.1184 |
| 0.9296 | 2.11837 |
| 0.9312 | 2.11835 |
| 0.9328 | 2.11832 |
| 0.9344 | 2.1183 |
| 0.936 | 2.11828 |
| 0.9376 | 2.11825 |
| 0.9392 | 2.11823 |
| 0.9408 | 2.1182 |
| 0.9424 | 2.11818 |
| 0.944 | 2.11816 |
| 0.9456 | 2.11813 |
| 0.9472 | 2.11811 |
| 0.9488 | 2.11809 |
| 0.9504 | 2.11806 |
| 0.952 | 2.11804 |
| 0.9536 | 2.11802 |
| 0.9552 | 2.118 |
| 0.9568 | 2.11797 |
| 0.9584 | 2.11795 |
| 0.96 | 2.11793 |
| 0.9616 | 2.11791 |
| 0.9632 | 2.11788 |
| 0.9648 | 2.11786 |
| 0.9664 | 2.11784 |
| 0.968 | 2.11782 |
| 0.9696 | 2.1178 |
| 0.9712 | 2.11778 |
| 0.9728 | 2.11775 |
| 0.9744 | 2.11773 |
| 0.976 | 2.11771 |
| 0.9776 | 2.11769 |
| 0.9792 | 2.11767 |
| 0.9808 | 2.11765 |
| 0.9824 | 2.11763 |
| 0.984 | 2.11761 |
| 0.9856 | 2.11759 |
| 0.9872 | 2.11757 |
| 0.9888 | 2.11754 |
| 0.9904 | 2.11752 |
| 0.992 | 2.1175 |
| 0.9936 | 2.11748 |
| 0.9952 | 2.11746 |
| 0.9968 | 2.11744 |
| 0.9984 | 2.11742 |
| 1.0 | 2.1174 |
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
- —
Hexagonal boron nitride (hBN). Multilayer crystals. In-plane (ordinary ray, o). Room temperature.