Optical constants

Refractive index of VC (Vanadium carbide)

Pflüger et al. 1984: n,k 0.0311–2.48 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
2.96572
Extinction coefficient k
2.43185
Permittivity ε1
2.88156
Permittivity ε2
14.4244
Absorption coefficient α
520075 cm⁻¹
Penetration depth δ = λ/(2πk)
38.456 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
1.37097 µm⁻¹
Group index ng
2.16014
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

# VC (Vanadium carbide): Pflüger et al. 1984: n,k 0.0311–2.48 µm
vc = ls.fetch_refractiveindex("main", "VC", "Pfluger", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(vc.range_nm)  # (31.07, 2479.7) nm
eps = vc.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

VC0.88. 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
VC (Vanadium carbide), Pflüger et al. 1984: n,k 0.0311–2.48 µm: n and k versus wavelength
λ (µm)nk
0.031070.8370.0642
0.031790.830.0589
0.032630.8140.0576
0.033510.7950.0633
0.034440.7760.0727
0.035420.760.0857
0.036460.7420.0982
0.037570.7250.113
0.038740.7060.129
0.039990.6870.152
0.041330.6680.172
0.042750.6450.199
0.044280.6230.231
0.045920.6010.268
0.047680.5820.316
0.049590.5640.371
0.051660.560.433
0.05390.5610.499
0.056350.5780.568
0.059040.6060.633
0.061990.6370.686
0.065250.6650.73
0.068880.6890.799
0.072930.7280.872
0.077490.8030.933
0.082650.8570.958
0.088560.9040.996
0.095370.9561.0
0.10330.9170.99
0.10780.8581.04
0.11270.821.14
0.11810.8271.28
0.1240.8651.41
0.13050.9581.51
0.13781.071.59
0.14591.131.64
0.1551.221.73
0.16531.321.83
0.17711.421.92
0.19071.621.97
0.20661.742.0
0.22541.862.04
0.2482.042.13
0.27552.272.18
0.312.472.15
0.35422.592.12
0.41332.772.16
0.49592.842.21
0.61993.012.51
0.82663.372.88
1.23993.663.42
2.47974.865.34

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
—