Optical constants

Refractive index of SiO2 (Silicon dioxide, Silica, Quartz)

Herguedas and Carretero 2023: n,k 5.0–25 µm

Data
tabulated nk
Range
5–25 µm
Points
801
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 5–25 µm
Refractive index n
1.69596
Extinction coefficient k
0.05756
Permittivity ε1
2.87297
Permittivity ε2
0.195239
Absorption coefficient α
645.822 cm⁻¹
Penetration depth δ = λ/(2πk)
30968.3 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.36 µm⁻¹
Group index ng
5.72796
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
0.1107 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

# SiO2 (Silicon dioxide, Silica, Quartz): Herguedas and Carretero 2023: n,k 5.0–25 µm
sio2 = ls.fetch_refractiveindex("main", "SiO2", "Herguedas", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sio2.range_nm)  # (5000, 25000) nm
eps = sio2.eps([11200])  # 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

SiO1.92. Sputtered Si with 120 sccm O2 and 80 sccm Ar, which is equivalent to a oxygen partial pressure of 7.3 × 10-4 mbar and a total pressure of 1.5 × 10-3 mbar. Room temperature.

References

N. Herguedas and E. Carretero. Optical properties in mid-infrared range of silicon oxide thin films with different stoichiometries. Nanomaterials 13, 2749 (2023)
  • doi:10.3390/nano13202749 Optical Properties in Mid-Infrared Range of Silicon Oxide Thin Films with Different Stoichiometries, Nanomaterials (2023)

Cite

Natalia Herguedas and Enrique Carretero. Optical Properties in Mid-Infrared Range of Silicon Oxide Thin Films with Different Stoichiometries. Nanomaterials, 13, 2749 (2023), doi:10.3390/nano13202749; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

801 rows as published
SiO2 (Silicon dioxide, Silica, Quartz), Herguedas and Carretero 2023: n,k 5.0–25 µm: n and k versus wavelength
λ (µm)nk
5.01.2810.001
5.0051.2810.001
5.011.280.001
5.0151.280.001
5.021.280.001
5.0251.280.001
5.031.2790.001
5.0351.2790.001
5.041.2790.001
5.0451.2790.001
5.0511.2780.001
5.0561.2780.001
5.0611.2780.001
5.0661.2770.001
5.0711.2770.001
5.0761.2770.001
5.0811.2770.001
5.0861.2760.001
5.0921.2760.001
5.0971.2760.001
5.1021.2750.001
5.1071.2750.001
5.1121.2750.001
5.1181.2750.001
5.1231.2740.001
5.1281.2740.001
5.1331.2740.001
5.1391.2730.001
5.1441.2730.001
5.1491.2730.001
5.1551.2720.001
5.161.2720.001
5.1651.2720.001
5.1711.2710.001
5.1761.2710.001
5.1811.2710.001
5.1871.2710.001
5.1921.270.001
5.1981.270.001
5.2031.270.001
5.2081.2690.001
5.2141.2690.001
5.2191.2690.001
5.2251.2680.001
5.231.2680.001
5.2361.2680.001
5.2411.2670.001
5.2471.2670.001
5.2521.2670.001
5.2581.2660.001
5.2631.2660.001
5.2691.2660.001
5.2741.2650.001
5.281.2650.001
5.2851.2650.001
5.2911.2640.001
5.2971.2640.001
5.3021.2640.001
5.3081.2630.001
5.3131.2630.001
5.3191.2630.001
5.3251.2620.001
5.331.2620.001
5.3361.2610.001
5.3421.2610.001
5.3481.2610.001
5.3531.260.001
5.3591.260.001
5.3651.260.001
5.3711.2590.001
5.3761.2590.001
5.3821.2590.002
5.3881.2580.002
5.3941.2580.002
5.41.2570.002
5.4051.2570.002
5.4111.2570.002
5.4171.2560.002
5.4231.2560.002
5.4291.2550.002
5.4351.2550.002
5.4411.2550.002
5.4471.2540.002
5.4531.2540.002
5.4591.2540.002
5.4641.2530.002
5.471.2530.002
5.4761.2520.002
5.4821.2520.002
5.4881.2510.002
5.4951.2510.002
5.5011.2510.002
5.5071.250.002
5.5131.250.002
5.5191.2490.002
5.5251.2490.002
5.5311.2490.002
5.5371.2480.002
5.5431.2480.002
5.5491.2470.002
5.5561.2470.002
5.5621.2460.002
5.5681.2460.002
5.5741.2460.002
5.581.2450.002
5.5871.2450.002
5.5931.2440.002
5.5991.2440.002
5.6051.2430.002
5.6121.2430.002
5.6181.2420.002
5.6241.2420.002
5.6311.2410.002
5.6371.2410.002
5.6431.240.002
5.651.240.002
5.6561.240.002
5.6631.2390.002
5.6691.2390.002
5.6751.2380.002
5.6821.2380.002
5.6881.2370.003
5.6951.2370.003
5.7011.2360.003
5.7081.2360.003
5.7141.2350.003
5.7211.2350.003
5.7271.2340.003
5.7341.2340.003
5.7411.2330.003
5.7471.2330.003
5.7541.2320.003
5.761.2310.003
5.7671.2310.003
5.7741.230.003
5.781.230.003
5.7871.2290.003
5.7941.2290.003
5.81.2280.003
5.8071.2280.003
5.8141.2270.003
5.8211.2270.003
5.8281.2260.003
5.8341.2260.003
5.8411.2250.003
5.8481.2240.003
5.8551.2240.003
5.8621.2230.003
5.8691.2230.003
5.8751.2220.003
5.8821.2210.003
5.8891.2210.003
5.8961.220.003
5.9031.220.003
5.911.2190.003
5.9171.2190.004
5.9241.2180.004
5.9311.2170.004
5.9381.2170.004
5.9451.2160.004
5.9521.2150.004
5.9591.2150.004
5.9671.2140.004
5.9741.2140.004
5.9811.2130.004
5.9881.2120.004
5.9951.2120.004
6.0021.2110.004
6.011.210.004
6.0171.210.004
6.0241.2090.004
6.0311.2080.004
6.0391.2080.004
6.0461.2070.004
6.0531.2060.004
6.0611.2060.004
6.0681.2050.004
6.0751.2040.004
6.0831.2030.004
6.091.2030.004
6.0981.2020.004
6.1051.2010.005
6.1121.2010.005
6.121.20.005
6.1271.1990.005
6.1351.1980.005
6.1431.1980.005
6.151.1970.005
6.1581.1960.005
6.1651.1950.005
6.1731.1950.005
6.181.1940.005
6.1881.1930.005
6.1961.1920.005
6.2031.1910.005
6.2111.1910.005
6.2191.190.005
6.2271.1890.005
6.2341.1880.005
6.2421.1870.005
6.251.1870.005
6.2581.1860.006
6.2661.1850.006
6.2741.1840.006
6.2811.1830.006
6.2891.1820.006
6.2971.1810.006
6.3051.1810.006
6.3131.180.006
6.3211.1790.006
6.3291.1780.006
6.3371.1770.006
6.3451.1760.006
6.3531.1750.006
6.3611.1740.006
6.3691.1730.006
6.3781.1720.006
6.3861.1710.006
6.3941.170.007
6.4021.1690.007
6.411.1680.007
6.4181.1670.007
6.4271.1660.007
6.4351.1650.007
6.4431.1640.007
6.4521.1630.007
6.461.1620.007
6.4681.1610.007
6.4771.160.007
6.4851.1590.007
6.4941.1580.007
6.5021.1570.007
6.511.1560.007
6.5191.1550.008
6.5271.1540.008
6.5361.1530.008
6.5451.1520.008
6.5531.1510.008
6.5621.1490.008
6.571.1480.008
6.5791.1470.008
6.5881.1460.008
6.5961.1450.008
6.6051.1440.008
6.6141.1420.008
6.6231.1410.008
6.6311.140.009
6.641.1390.009
6.6491.1370.009
6.6581.1360.009
6.6671.1350.009
6.6761.1340.009
6.6841.1320.009
6.6931.1310.009
6.7021.130.009
6.7111.1280.009
6.721.1270.009
6.7291.1250.01
6.7391.1240.01
6.7481.1230.01
6.7571.1210.01
6.7661.120.01
6.7751.1180.01
6.7841.1170.01
6.7931.1150.01
6.8031.1140.01
6.8121.1120.01
6.8211.1110.01
6.8311.1090.011
6.841.1080.011
6.8491.1060.011
6.8591.1050.011
6.8681.1030.011
6.8781.1010.011
6.8871.10.011
6.8971.0980.011
6.9061.0960.011
6.9161.0950.012
6.9251.0930.012
6.9351.0910.012
6.9441.0890.012
6.9541.0880.012
6.9641.0860.012
6.9741.0840.012
6.9831.0820.012
6.9931.080.013
7.0031.0780.013
7.0131.0760.013
7.0221.0740.013
7.0321.0720.013
7.0421.070.013
7.0521.0680.013
7.0621.0660.013
7.0721.0640.014
7.0821.0620.014
7.0921.060.014
7.1021.0580.014
7.1121.0560.014
7.1231.0530.014
7.1331.0510.015
7.1431.0490.015
7.1531.0460.015
7.1631.0440.015
7.1741.0420.015
7.1841.0390.015
7.1941.0370.015
7.2051.0340.016
7.2151.0320.016
7.2251.0290.016
7.2361.0260.016
7.2461.0240.016
7.2571.0210.017
7.2671.0180.017
7.2781.0150.017
7.2891.0120.017
7.2991.0090.017
7.311.0070.017
7.3211.0040.018
7.3311.00.018
7.3420.9970.018
7.3530.9940.018
7.3640.9910.019
7.3750.9880.019
7.3860.9840.019
7.3960.9810.019
7.4070.9770.019
7.4180.9740.02
7.4290.970.02
7.440.9660.02
7.4520.9620.021
7.4630.9590.021
7.4740.9550.021
7.4850.9510.021
7.4960.9460.022
7.5080.9420.022
7.5190.9380.022
7.530.9330.023
7.5410.9290.023
7.5530.9240.023
7.5640.9190.024
7.5760.9140.024
7.5870.9090.025
7.5990.9040.025
7.610.8990.026
7.6220.8930.026
7.6340.8880.027
7.6450.8820.028
7.6570.8760.028
7.6690.870.029
7.680.8630.03
7.6920.8570.031
7.7040.850.032
7.7160.8430.033
7.7280.8360.034
7.740.8290.035
7.7520.8210.037
7.7640.8130.039
7.7760.8050.04
7.7880.7970.042
7.80.7880.044
7.8120.7790.047
7.8250.770.049
7.8370.7610.052
7.8490.7510.055
7.8620.7410.059
7.8740.7310.062
7.8860.720.067
7.8990.710.071
7.9110.6980.076
7.9240.6870.082
7.9370.6750.088
7.9490.6640.095
7.9620.6520.102
7.9740.640.11
7.9870.6270.119
8.00.6150.129
8.0130.6030.139
8.0260.5910.15
8.0390.5790.163
8.0520.5670.176
8.0650.5560.19
8.0780.5460.205
8.0910.5360.22
8.1040.5270.237
8.1170.5190.254
8.130.5110.271
8.1430.5050.289
8.1570.50.307
8.170.4960.326
8.1830.4930.344
8.1970.4910.362
8.210.4890.38
8.2240.4890.397
8.2370.4890.414
8.2510.490.43
8.2640.4910.446
8.2780.4930.461
8.2920.4950.476
8.3060.4970.49
8.3190.50.504
8.3330.5020.516
8.3470.5050.529
8.3610.5070.541
8.3750.5090.552
8.3890.5110.563
8.4030.5120.573
8.4180.5130.583
8.4320.5140.593
8.4460.5140.603
8.460.5140.612
8.4750.5120.621
8.4890.510.631
8.5030.5080.64
8.5180.5040.65
8.5320.50.66
8.5470.4950.671
8.5620.4890.683
8.5760.4820.695
8.5910.4750.709
8.6060.4670.723
8.6210.4580.739
8.6360.4490.756
8.6510.440.775
8.6660.4310.796
8.6810.4220.819
8.6960.4130.843
8.7110.4050.869
8.7260.3980.897
8.7410.3920.927
8.7570.3870.959
8.7720.3830.992
8.7870.3821.026
8.8030.3821.062
8.8180.3841.1
8.8340.3881.138
8.850.3941.177
8.8650.4031.217
8.8810.4131.257
8.8970.4261.298
8.9130.4421.339
8.9290.461.38
8.9450.481.421
8.9610.5031.461
8.9770.5281.502
8.9930.5551.541
9.0090.5851.58
9.0250.6181.618
9.0420.6521.655
9.0580.6891.691
9.0740.7291.726
9.0910.771.758
9.1070.8141.79
9.1240.861.819
9.1410.9071.847
9.1580.9571.872
9.1741.0081.895
9.1911.0611.916
9.2081.1151.934
9.2251.1711.95
9.2421.2271.963
9.2591.2851.973
9.2761.3441.98
9.2941.4031.985
9.3111.4621.986
9.3281.5221.985
9.3461.5821.98
9.3631.6421.972
9.3811.7021.962
9.3981.7611.948
9.4161.8191.931
9.4341.8771.911
9.4521.9331.889
9.471.9881.863
9.4882.0421.835
9.5062.0941.804
9.5242.1441.771
9.5422.1921.735
9.562.2381.697
9.5792.2821.656
9.5972.3241.614
9.6152.3631.57
9.6342.3991.525
9.6532.4331.478
9.6712.4641.429
9.692.4921.38
9.7092.5181.33
9.7282.541.279
9.7472.561.228
9.7662.5771.176
9.7852.5911.124
9.8042.6021.073
9.8232.611.021
9.8432.6160.97
9.8622.6190.92
9.8812.620.871
9.9012.6180.822
9.9212.6140.774
9.942.6070.728
9.962.5990.683
9.982.5880.639
10.02.5760.597
10.022.5620.556
10.042.5460.518
10.062.5290.48
10.0812.5110.445
10.1012.4920.411
10.1212.4710.379
10.1422.450.349
10.1632.4280.321
10.1832.4060.295
10.2042.3830.27
10.2252.360.247
10.2462.3360.226
10.2672.3130.206
10.2882.2890.188
10.3092.2660.171
10.3312.2430.156
10.3522.220.143
10.3732.1980.13
10.3952.1750.119
10.4172.1540.109
10.4382.1320.1
10.462.1120.092
10.4822.0920.085
10.5042.0720.079
10.5262.0530.074
10.5492.0350.069
10.5712.0170.065
10.5932.00.062
10.6161.9830.059
10.6381.9670.057
10.6611.9510.055
10.6841.9360.053
10.7071.9220.052
10.731.9080.051
10.7531.8940.05
10.7761.8810.049
10.7991.8680.049
10.8231.8560.049
10.8461.8440.049
10.871.8330.049
10.8931.8210.049
10.9171.810.049
10.9411.80.049
10.9651.7890.05
10.9891.7790.05
11.0131.7690.051
11.0381.7590.051
11.0621.7490.052
11.0861.7390.053
11.1111.730.054
11.1361.720.055
11.1611.7110.056
11.1861.7010.057
11.2111.6920.058
11.2361.6820.06
11.2611.6730.062
11.2871.6630.064
11.3121.6540.066
11.3381.6450.068
11.3641.6350.071
11.391.6260.074
11.4161.6160.078
11.4421.6070.082
11.4681.5980.087
11.4941.5880.092
11.5211.5790.097
11.5471.570.103
11.5741.5620.11
11.6011.5540.118
11.6281.5460.126
11.6551.5390.134
11.6821.5320.144
11.711.5260.153
11.7371.5210.164
11.7651.5170.175
11.7921.5130.186
11.821.5110.198
11.8481.510.209
11.8761.510.221
11.9051.5110.233
11.9331.5140.245
11.9621.5170.256
11.991.5220.266
12.0191.5280.276
12.0481.5350.286
12.0771.5430.294
12.1071.5520.301
12.1361.5610.308
12.1651.5710.313
12.1951.5820.317
12.2251.5930.319
12.2551.6040.321
12.2851.6140.321
12.3151.6250.32
12.3461.6360.317
12.3761.6460.314
12.4071.6560.31
12.4381.6650.304
12.4691.6730.298
12.51.6810.291
12.5311.6870.283
12.5631.6930.274
12.5941.6980.265
12.6261.7020.256
12.6581.7060.247
12.691.7080.237
12.7231.7090.227
12.7551.710.217
12.7881.7090.208
12.8211.7080.198
12.8531.7060.189
12.8871.7030.18
12.921.70.172
12.9531.6960.163
12.9871.6910.156
13.0211.6860.149
13.0551.6810.142
13.0891.6750.136
13.1231.6690.131
13.1581.6630.126
13.1931.6570.121
13.2281.650.117
13.2631.6440.114
13.2981.6370.11
13.3331.6310.108
13.3691.6250.106
13.4051.6180.104
13.4411.6120.102
13.4771.6060.101
13.5141.60.1
13.551.5950.099
13.5871.5890.099
13.6241.5840.099
13.6611.5790.099
13.6991.5740.099
13.7361.5690.099
13.7741.5640.099
13.8121.5590.1
13.851.5550.1
13.8891.5510.101
13.9281.5460.101
13.9661.5420.102
14.0061.5380.103
14.0451.5340.104
14.0851.5310.104
14.1241.5270.105
14.1641.5230.106
14.2051.520.107
14.2451.5160.108
14.2861.5130.108
14.3271.510.109
14.3681.5060.11
14.4091.5030.111
14.4511.50.112
14.4931.4970.113
14.5351.4930.114
14.5771.490.115
14.621.4870.116
14.6631.4840.116
14.7061.4810.117
14.7491.4780.118
14.7931.4750.119
14.8371.4720.12
14.8811.4690.121
14.9251.4660.122
14.971.4630.123
15.0151.460.124
15.061.4570.125
15.1061.4540.126
15.1521.4510.127
15.1981.4490.128
15.2441.4460.129
15.2911.4430.13
15.3371.440.131
15.3851.4370.132
15.4321.4340.133
15.481.4310.134
15.5281.4280.136
15.5761.4250.137
15.6251.4220.138
15.6741.4190.139
15.7231.4160.14
15.7731.4130.141
15.8231.410.142
15.8731.4070.143
15.9241.4040.145
15.9741.40.146
16.0261.3970.147
16.0771.3940.148
16.1291.3910.149
16.1811.3880.151
16.2341.3840.152
16.2871.3810.153
16.341.3780.155
16.3931.3740.156
16.4471.3710.157
16.5021.3670.159
16.5561.3640.16
16.6111.360.161
16.6671.3560.163
16.7221.3520.164
16.7791.3490.166
16.8351.3450.167
16.8921.3410.169
16.9491.3370.17
17.0071.3330.172
17.0651.3280.173
17.1231.3240.175
17.1821.320.177
17.2411.3150.178
17.3011.310.18
17.3611.3060.182
17.4221.3010.184
17.4831.2960.185
17.5441.2910.187
17.6061.2850.189
17.6681.280.191
17.731.2740.193
17.7941.2680.195
17.8571.2620.197
17.9211.2560.2
17.9861.250.202
18.0511.2430.204
18.1161.2360.207
18.1821.2290.209
18.2481.2210.212
18.3151.2130.215
18.3821.2050.217
18.451.1960.22
18.5191.1870.224
18.5871.1780.227
18.6571.1680.23
18.7271.1570.234
18.7971.1460.238
18.8681.1340.242
18.9391.1220.246
19.0111.1080.251
19.0841.0940.257
19.1571.0780.262
19.2311.0620.269
19.3051.0440.276
19.381.0250.285
19.4551.0040.295
19.5310.9810.306
19.6080.9570.319
19.6850.9310.335
19.7630.9030.354
19.8410.8730.377
19.920.8420.405
20.00.8110.439
20.080.780.478
20.1610.7510.525
20.2430.7260.579
20.3250.7060.639
20.4080.6930.704
20.4920.6880.773
20.5760.6910.844
20.6610.7020.916
20.7470.7210.987
20.8330.7481.057
20.9210.7811.124
21.0080.8211.189
21.0970.8681.25
21.1860.921.308
21.2770.9771.36
21.3681.041.408
21.4591.1071.451
21.5521.1781.487
21.6451.2521.517
21.7391.3291.541
21.8341.4071.558
21.931.4871.568
22.0261.5671.57
22.1241.6481.566
22.2221.7271.554
22.3211.8041.536
22.4221.8791.511
22.5231.9511.479
22.6242.0191.442
22.7272.0831.399
22.8312.1421.351
22.9362.1951.299
23.0412.2431.243
23.1482.2841.184
23.2562.321.123
23.3642.3491.061
23.4742.3720.998
23.5852.3880.934
23.6972.3990.872
23.812.4030.81
23.9232.4030.751
24.0382.3970.694
24.1552.3870.64
24.2722.3720.589
24.392.3540.541
24.512.3330.498
24.6312.310.458
24.7522.2850.422
24.8762.2580.39
25.02.230.362

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
—