Optical constants

Refractive index of Ta2O5 (Tantalum pentoxide)

Bright et al. 2013: Nanocrystalline film; n,k 0.5–1000 µm

Data
tabulated nk
Range
0.5–1000 µm
Points
500
State
crystalline
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.5–1000 µm
Refractive index n
2.21421
Extinction coefficient k
0.000869463
Permittivity ε1
4.90274
Permittivity ε2
0.00385035
Absorption coefficient α
185.943 cm⁻¹
Penetration depth δ = λ/(2πk)
107560 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.391499 µm⁻¹
Group index ng
2.44426
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

# Ta2O5 (Tantalum pentoxide): Bright et al. 2013: Nanocrystalline film; n,k 0.5–1000 µm
ta2o5 = ls.fetch_refractiveindex("main", "Ta2O5", "Bright-nanocrystalline", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ta2o5.range_nm)  # (500, 1e+06) nm
eps = ta2o5.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

Nanocrystalline (annealed) thin film

References

T. J. Bright, J. I. Watjen, Z. M. Zhang, C. Muratore, A. A. Voevodin, D. I. Koukis, D. B. Tanner D. J. Arenas. Infrared optical properties of amorphous and nanocrystalline Ta2O5 thin films. J. Appl. Phys 114, 083515 (2013)
[Calculation script (Python)]
  • doi:10.1063/1.4819325 Infrared optical properties of amorphous and nanocrystalline Ta2O5 thin films, Journal of Applied Physics (2013)

Cite

T. J. Bright et al.. Infrared optical properties of amorphous and nanocrystalline Ta2O5 thin films. Journal of Applied Physics, 114, 083515 (2013), doi:10.1063/1.4819325; [Calculation script (Python)]; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

500 rows as published
Ta2O5 (Tantalum pentoxide), Bright et al. 2013: Nanocrystalline film; n,k 0.5–1000 µm: n and k versus wavelength
λ (µm)nk
0.52.25880.00072269
0.507672.2540.00073557
0.515472.24930.00074865
0.523382.24470.00076191
0.531412.24030.00077538
0.539572.2360.00078905
0.547852.23180.00080292
0.556262.22780.00081701
0.56482.22390.0008313
0.573472.220.00084581
0.582272.21630.00086055
0.591212.21280.0008755
0.600282.20930.00089069
0.609492.20590.00090611
0.618852.20260.00092177
0.628352.19940.00093768
0.637992.19630.00095383
0.647782.19330.00097023
0.657732.19040.00098689
0.667822.18750.0010038
0.678072.18480.001021
0.688482.18210.0010385
0.699052.17950.0010562
0.709782.17690.0010742
0.720672.17450.0010926
0.731732.17210.0011112
0.742962.16980.0011301
0.754372.16750.0011493
0.765952.16530.0011688
0.77772.16320.0011887
0.789642.16110.0012089
0.801762.15910.0012294
0.814072.15710.0012503
0.826562.15520.0012715
0.839252.15330.001293
0.852132.15150.001315
0.865212.14970.0013373
0.878492.1480.00136
0.891972.14630.0013831
0.905662.14470.0014065
0.919562.14310.0014304
0.933682.14160.0014547
0.948012.14010.0014794
0.962562.13860.0015046
0.977332.13710.0015302
0.992332.13570.0015563
1.00762.13440.0015828
1.0232.1330.0016098
1.03872.13170.0016373
1.05472.13040.0016653
1.07092.12920.0016938
1.08732.12790.0017229
1.1042.12670.0017525
1.12092.12560.0017826
1.13812.12440.0018133
1.15562.12330.0018446
1.17332.12220.0018765
1.19142.12110.001909
1.20962.120.0019421
1.22822.1190.0019758
1.24712.11790.0020103
1.26622.11690.0020453
1.28562.11590.0020811
1.30542.11490.0021177
1.32542.1140.0021549
1.34572.1130.0021929
1.36642.11210.0022317
1.38742.11110.0022713
1.40872.11020.0023116
1.43032.10930.0023529
1.45222.10840.002395
1.47452.10750.002438
1.49722.10660.0024819
1.52012.10570.0025268
1.54352.10480.0025726
1.56722.10390.0026195
1.59122.10310.0026674
1.61572.10220.0027163
1.64042.10130.0027664
1.66562.10040.0028176
1.69122.09960.0028699
1.71722.09870.0029235
1.74352.09780.0029783
1.77032.09690.0030344
1.79742.09610.0030918
1.8252.09520.0031506
1.8532.09430.0032108
1.88152.09340.0032725
1.91042.09250.0033357
1.93972.09160.0034005
1.96952.09070.0034669
1.99972.08970.003535
2.03042.08880.0036048
2.06152.08790.0036764
2.09322.08690.0037499
2.12532.08590.0038253
2.15792.08490.0039027
2.19112.08390.0039822
2.22472.08290.0040639
2.25882.08190.0041478
2.29352.08080.004234
2.32872.07970.0043226
2.36442.07860.0044137
2.40072.07750.0045074
2.43762.07640.0046038
2.4752.07520.004703
2.5132.0740.0048051
2.55162.07280.0049103
2.59072.07160.0050186
2.63052.07030.0051302
2.67092.0690.0052452
2.71192.06770.0053638
2.75352.06630.0054861
2.79572.06490.0056123
2.83872.06350.0057425
2.88222.0620.0058769
2.92652.06050.0060157
2.97142.0590.006159
3.0172.05740.0063072
3.06332.05580.0064604
3.11032.05410.0066188
3.15812.05240.0067826
3.20652.05060.0069522
3.25572.04880.0071277
3.30572.04690.0073095
3.35652.04490.0074978
3.4082.04290.007693
3.46032.04090.0078953
3.51342.03880.0081052
3.56732.03660.008323
3.62212.03440.008549
3.67772.0320.0087838
3.73412.02970.0090276
3.79142.02720.0092811
3.84962.02460.0095446
3.90872.0220.0098188
3.96872.01930.010104
4.02962.01650.010401
4.09152.01360.01071
4.15432.01060.011033
4.2182.00760.011369
4.28282.00440.01172
4.34852.00110.012085
4.41531.99770.012467
4.4831.99410.012866
4.55181.99050.013284
4.62171.98670.01372
4.69261.98280.014176
4.76471.97880.014654
4.83781.97460.015154
4.91211.97030.015678
4.98751.96580.016228
5.0641.96110.016805
5.14171.95630.017411
5.22071.95130.018047
5.30081.94620.018717
5.38211.94080.019421
5.46481.93520.020162
5.54861.92940.020942
5.63381.92340.021766
5.72031.91720.022634
5.80811.91070.023551
5.89721.9040.024521
5.98771.8970.025546
6.07961.88970.026632
6.1731.88210.027782
6.26771.87430.029003
6.36391.8660.030299
6.46161.85750.031676
6.56081.84860.033143
6.66151.83930.034705
6.76371.82960.036372
6.86751.81950.038153
6.97291.80890.040058
7.081.79780.0421
7.18861.78630.044291
7.2991.77410.046647
7.4111.76150.049184
7.52471.74820.051922
7.64021.73420.054883
7.75751.71950.058093
7.87661.70410.061581
7.99751.68790.065382
8.12021.67080.069535
8.24491.65280.07409
8.37141.63370.079102
8.49991.61350.084638
8.63041.59210.090781
8.76281.56940.09763
8.89731.54530.10531
9.03391.51960.11397
9.17261.49220.1238
9.31331.46280.13506
9.45631.43140.14805
9.60141.39760.16319
9.74881.36140.18104
9.89841.32250.20233
10.051.28080.22806
10.2051.23640.25957
10.3611.18980.29866
10.521.14230.3476
10.6821.09660.4089
10.8461.05750.48455
11.0121.03240.57426
11.1811.02950.67319
11.3531.05530.77072
11.5271.110.85129
11.7041.18330.89854
11.8841.25360.90417
12.0661.29690.87668
12.2511.30140.83774
12.4391.27110.8081
12.631.21780.79921
12.8241.15290.81455
13.0211.08560.8534
13.2211.02240.9131
13.4240.967970.98995
13.630.925211.0797
13.8390.895141.1784
14.0510.877591.2828
14.2670.871761.3906
14.4860.876761.5003
14.7080.891871.6113
14.9340.91671.723
15.1630.951171.8352
15.3960.995531.9475
15.6321.05032.0597
15.8721.11632.1712
16.1161.19472.281
16.3631.28652.3879
16.6141.3932.4899
16.8691.51542.5844
17.1281.65452.6678
17.3911.812.7358
17.6581.98052.7831
17.9292.16242.8043
18.2042.35012.7945
18.4842.53542.7508
18.7682.70872.6732
19.0562.86072.5654
19.3482.9842.4344
19.6453.07442.2893
19.9473.13142.1394
20.2533.15731.9927
20.5643.15621.8549
20.8793.13291.7299
21.23.09211.6197
21.5253.03781.5249
21.8562.97321.4455
22.1912.90091.3809
22.5322.82281.3306
22.8772.74041.294
23.2292.65461.2708
23.5852.56661.2607
23.9472.4771.2638
24.3152.38681.2805
24.6882.29731.3113
25.0672.20981.3567
25.4522.12651.4173
25.8422.051.4933
26.2391.98311.5843
26.6421.92941.6888
27.0511.89191.8046
27.4661.87351.9282
27.8871.87612.0552
28.3151.90072.1804
28.751.9472.2979
29.1912.01262.4012
29.6392.09262.4839
30.0942.1792.5412
30.5562.26132.5718
31.0252.32822.5792
31.5012.37112.572
31.9852.38572.5621
32.4762.37382.5615
32.9742.34132.5796
33.482.29642.6221
33.9942.24812.6913
34.5162.2042.7863
35.0462.17052.9044
35.5842.1523.0421
36.132.15143.1956
36.6842.17063.3615
37.2482.2113.5367
37.8192.27353.7188
38.42.35933.9055
38.9892.46954.0944
39.5882.60584.2833
40.1952.774.469
40.8122.9644.6479
41.4393.18954.8153
42.0753.44774.9652
42.723.73865.09
43.3764.06035.1813
44.0424.4085.2297
44.7184.77335.2264
45.4045.14415.1648
46.1015.50575.0424
46.8095.84194.862
47.5276.13874.6322
48.2576.38574.366
48.9976.57834.0783
49.7496.71693.7837
50.5136.80653.4943
51.2886.85413.2186
52.0766.86762.9623
52.8756.85462.728
53.6866.8222.5164
54.516.77532.3269
55.3476.71882.1582
56.1976.65592.0084
57.0596.58931.8757
57.9356.52081.7583
58.8246.45181.6546
59.7276.38321.5628
60.6446.31581.4817
61.5756.251.4101
62.526.18611.347
63.4796.12431.2913
64.4546.06471.2423
65.4436.00741.1994
66.4475.95251.162
67.4675.89981.1296
68.5035.84951.1017
69.5545.80141.0779
70.6225.75551.0581
71.7065.71191.0417
72.8065.67051.0288
73.9245.63131.0189
75.0595.59431.012
76.2115.55961.0078
77.385.52711.0062
78.5685.49681.007
79.7745.46891.0101
80.9995.44341.0154
82.2425.42031.0226
83.5045.39981.0317
84.7865.38181.0424
86.0875.36651.0546
87.4085.35391.0681
88.755.34421.0826
90.1125.33731.098
91.4955.33331.114
92.95.33231.1304
94.3265.33411.1467
95.7735.33891.1629
97.2435.34651.1786
98.7365.35671.1935
100.255.36961.2074
101.795.38491.22
103.355.40241.231
104.945.42181.2403
106.555.4431.2476
108.195.46561.2529
109.855.48941.256
111.535.5141.2569
113.245.53911.2555
114.985.56461.2519
116.755.591.2461
118.545.61511.2383
120.365.63981.2285
122.215.66381.217
124.085.68691.2037
125.995.7091.189
127.925.731.1731
129.885.74991.156
131.885.76841.1379
133.95.78571.1191
135.965.80161.0998
138.045.81631.0799
140.165.82971.0598
142.315.84191.0395
144.55.85291.0191
146.715.86270.99883
148.975.87150.97866
151.255.87920.95869
153.575.8860.939
155.935.89190.91964
158.335.8970.90066
160.765.90130.8821
163.225.9050.86398
165.735.9080.84633
168.275.91040.82916
170.855.91220.81248
173.485.91360.7963
176.145.91460.78063
178.845.91520.76546
181.595.91540.75079
184.385.91530.73662
187.215.91490.72293
190.085.91430.70973
193.05.91350.69699
195.965.91240.68472
198.975.91120.67289
202.025.90990.66151
205.125.90840.65054
208.275.90680.64
211.475.90510.62985
214.715.90340.6201
218.015.90150.61072
221.355.89970.60171
224.755.89770.59305
228.25.89580.58474
231.75.89380.57676
235.265.89180.5691
238.875.88980.56176
242.545.88780.55472
246.265.88580.54797
250.045.88380.5415
253.885.88180.53531
257.775.87990.52939
261.735.87790.52373
265.755.8760.51831
269.835.87410.51314
273.975.87220.50821
278.175.87040.5035
282.445.86850.49902
286.785.86680.49476
291.185.8650.49071
295.655.86330.48686
300.195.86160.48321
304.795.860.47976
309.475.85830.47649
314.225.85680.47342
319.055.85520.47052
323.945.85370.4678
328.925.85230.46526
333.965.85090.46288
339.095.84950.46068
344.295.84810.45863
349.585.84680.45674
354.945.84550.45501
360.395.84430.45343
365.925.84310.45201
371.545.84190.45073
377.245.84080.4496
383.035.83970.44861
388.915.83860.44776
394.885.83760.44706
400.945.83660.44649
407.15.83570.44605
413.355.83470.44576
419.695.83380.44559
426.135.8330.44555
432.675.83210.44565
439.315.83130.44587
446.065.83060.44622
452.95.82980.4467
459.855.82910.4473
466.915.82840.44803
474.085.82780.44888
481.365.82720.44985
488.745.82660.45094
496.255.8260.45216
503.865.82540.4535
511.65.82490.45496
519.455.82440.45653
527.425.8240.45823
535.525.82360.46005
543.745.82310.46198
552.085.82280.46404
560.565.82240.46621
569.165.82210.4685
577.95.82180.47091
586.775.82150.47344
595.775.82120.47609
604.925.8210.47886
614.25.82080.48174
623.635.82060.48475
633.25.82040.48787
642.925.82030.49112
652.795.82020.49448
662.815.82010.49796
672.985.820.50157
683.315.820.5053
693.85.820.50915
704.455.820.51312
715.265.820.51721
726.245.820.52143
737.385.82010.52577
748.75.82020.53024
760.195.82030.53483
771.865.82050.53955
783.715.82060.54439
795.745.82080.54937
807.955.82110.55447
820.355.82130.5597
832.955.82160.56507
845.735.82190.57056
858.715.82220.57619
871.895.82250.58195
885.275.82290.58785
898.865.82330.59388
912.665.82370.60005
926.675.82420.60636
940.895.82460.61281
955.335.82510.6194
969.995.82570.62613
984.885.82620.633
1000.05.82680.64002

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
—