Optical constants

Refractive index of VN (Vanadium nitride)

Pflüger et al. 1984: n,k 0.031–2.48 µm

Data
tabulated nk
Range
0.03107–2.48 µm
Points
52
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.03107–2.48 µm
Refractive index n
2.30311
Extinction coefficient k
2.34236
Permittivity ε1
-0.182335
Permittivity ε2
10.7895
Absorption coefficient α
500936 cm⁻¹
Penetration depth δ = λ/(2πk)
39.9253 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
1.45161 µm⁻¹
Group index ng
1.45015
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

# VN (Vanadium nitride): Pflüger et al. 1984: n,k 0.031–2.48 µm
vn = ls.fetch_refractiveindex("main", "VN", "Pfluger", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(vn.range_nm)  # (31.07, 2479.7) nm
eps = vn.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

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

VN1.0. Room temperature.

References

1) J. Pflüger, J. Fink. Determination of optical constants by high-energy, electron-energy-loss spectroscopy (EELS), in Handbook of optical constants of solids II, Edward D. Palik, ed. Academic Press, 1991. pp. 293-310
2) J. Pflüger, J. Fink, W. Weber, K. P. Bohnen, G. Crecelius. Dielectric properties of TiCx, TiNx, VCx, and VNx from 1.5 to 40 eV determined by electron-energy-loss spectroscopy. Phys. Rev. B 30, 1155-1163 (1984)
  • doi:10.1103/physrevb.30.1155 Dielectric properties of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="normal">TiC</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>x</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> , <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="normal">TiN</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>x</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> , <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="normal">VC</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>x</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> , and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="normal">VN</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>x</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> from 1.5 to 40 eV determined by electron-energy-loss spectroscopy, Physical Review B (1984)

Cite

J. Pflüger, J. Fink, W. Weber, K. P. Bohnen and G. Crecelius. Dielectric properties of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="normal">TiC</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>x</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> , <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="normal">TiN</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>x</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> , <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="normal">VC</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>x</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> , and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="normal">VN</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>x</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> from 1.5 to 40 eV determined by electron-energy-loss spectroscopy. Physical Review B, 30, 1155-1163 (1984), doi:10.1103/physrevb.30.1155; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

52 rows as published
VN (Vanadium nitride), Pflüger et al. 1984: n,k 0.031–2.48 µm: n and k versus wavelength
λ (µm)nk
0.031070.8330.0671
0.031790.8230.0649
0.032630.8050.0722
0.033510.7880.079
0.034440.7720.0926
0.035420.7580.106
0.036460.7410.122
0.037570.7270.14
0.038740.7120.162
0.039990.6960.186
0.041330.6830.209
0.042750.6650.235
0.044280.6440.27
0.045920.6280.318
0.047680.6190.381
0.049590.6340.443
0.051660.6630.495
0.05390.6950.53
0.056350.7140.56
0.059040.7360.598
0.061990.7590.635
0.065250.7820.667
0.068880.7970.691
0.072930.8030.734
0.077490.8290.806
0.082650.8730.865
0.088560.9220.902
0.095370.9730.924
0.10330.9310.946
0.10780.9031.0
0.11270.8961.1
0.11810.9221.2
0.1240.9821.31
0.13051.071.39
0.13781.171.46
0.14591.251.51
0.1551.361.57
0.16531.461.6
0.17711.561.65
0.19071.661.68
0.20661.821.74
0.22541.981.7
0.2482.11.64
0.27552.191.56
0.312.21.54
0.35422.181.58
0.41332.131.7
0.49592.171.98
0.61992.352.47
0.82662.732.92
1.23993.193.66
2.47974.236.13

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—