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College of Engineering and Science

Measurement of Complex Index of Refraction by Filmetrics

Report from a laboratory experiment conducted on 28 March 2013

as part of ELEN 533 OPTO-ELECTRONICS

GOUTHAM VIJAY CHODAPUNEEDI
Graduate Student

Date of Report: 25 April 2013
Abstract:

Filmetrics can calculate the complex index of refraction as a function of light wavelength from the light transmission and reflection measurement data. The thin films must be smooth and flat in order to measure reflectance and transmittance. In this laboratory experiment we will record the reflectance and transmittance of the light through a thin film semiconducting polymer Poly(3-hexylthiophene-2,5-diyl) (P3HT) doped with PCBM ( fullerene C61) used for optoelectronic applications (solar cells, for example). We will record the front panel with the display of the reflectance and transmittance measurement and the calculated n(λ) and ((λ) by the built in numerical method. We will also calculate ((λ) from the ((λ) and plot the graph for ((λ). From the ((λ) we will find the value of cut off wave length and find the energy band gap.

Table of Contents

Abstract: i
1. Introduction and Background 1
2. Theory 1
3. Description of Experimental Setup 2
4. List of Equipment Used 3
5. Procedure 3
6. Data and Data Analysis 4
9. Discussion of Results 40
8. Conclusions 40
9. References 41

Introduction and Background

Filmetrics are used to measure the the reflectance and transmittance of thin films. F10-RT filmetrics is used to measure the reflectance and transmittance of thin films. The thickness and refractive index of films can be also measured by including some software options. To measure the films they must be optically smooth and flat in order. Rough films and metal films cannot be measured using filmetrics. Generally semiconductor process films such as oxides, nitrides, resists, and polysilicon, optical coatings such as hardness and anti-reflection coatings, flat panel display films such as polyimides, resist, and cell gaps films are measured commonly. Filmetrics F10-RT reflectometer measures thin films of thickness range 15nm-70µm and wavelength range of380-1050nm. The equipment is from the Filmetrics company and measures the transmission and/or reflection of light through/from a thin dielectric ( semiconducting) film under test.In this lab experiment the reflectance and transmittance of the light through a thin film semiconducting polymer Poly(3-hexylthiophene-2,5-diyl) (P3HT) doped with PCBM ( fullerene C61) used for optoelectronic applications (solar cells, for example) will be recorded. We will also record the front panel with the display of the reflectance and transmittance measurement and the calculated n(λ) and ((λ) by the built in numerical method, and the calculation of the P3HT thin film thickness and the correlation coefficient.

Theory

Filmetrics calculates the complex index of refraction as a function of light wavelength from the light transmission and reflection measurement data. Our instruments measure thin-film characteristics by either reflecting or transmitting light through the sample, and then analyzing this light over a range of wavelengths. Because of its wave-like properties, light reflected from the top and bottom interfaces of a thin-film can be in-phase so that reflections add, or out-of-phase so that reflections subtract. Whether the reflections are in- phase or out of-phase depends on the wavelength of the light, as well as the thickness and properties of the film.

Complex index of refraction is given by: [pic], Where n is the index of refraction and ( is the extinction coefficient: [pic] Where ( is absorption coefficient (1/m), and k0 is the wave number in vacuum (1/m).

Light that impinges on a sample can be reflected (R), transmitted (T), absorbed(A), or scattered (S). This can be written R + T + A + S = 1. If R + T < 1 (as measured by the F10-VC, F10-RT, or F10-PARTS), then the sample ismost likely absorbing or scattering light.

The term “band gap” refers to the energy difference between the top of the valence band to the bottom of the conduction band (See Figure 1); electrons are able to jump from one band to another. In order for an electron to jump from a valence band to a conduction band, it requires a specific minimum amount of energy for the transition i.e the band gap energy.

[pic]

Fig1. Band Gap

Band Gap Energy (E) = h*C/λ h = Planks constant = 6.626 x 10-34 Joules sec
C = Speed of light = 3.0 x 108 meter/sec λ = Cut off wavelength

Description of Experimental Setup

The Filmetrics F10-RT is used to measure the reflectance and transmittance of thin films. With the proper software options film thickness and refractive index can also be measured.The F10-RT reflectometer captures reflectance and transmittance spectra with a single mouse click. The F10-RTA models add 70° angled reflectance (450-800nm) to the F10-RT capabilities, which results in increased measurement capabilities for very or complex thin films. This is especially useful for solar and OLED applications. Thickness and refractive index measurement modules come standard on F10-RTA models.

[pic]

Fig. 2. Filmetrics F10-RT reflectometer. Thin film thickness range is 15nm-70µm. The wavelength range is 380-1050nm.

After placing the Fimetrics a computer with necessary software install is being connect with the filmetrics. The purpose of computer is to obtain the transmittance and reflectance data and also the plots can be also obtained

List of Equipment Used

1. F10-RT reflectometer. 2. Thin film sample (P3HT) 3. Software setup.

Procedure

After setting up the F10-RT reflectometer the thin film sample is placed such that the laser beam is allowed to pass through it. When the laser beam falls on the sample the beam gets reflected, transmitted and absorbed. The refelctometer is connected to a computer in which the required software specifications are been installed. As the beam gets reflected and transmitted the software records the data. It uses the data obtained and plots the graph for reflectance and transmittance. For calculating the energy band gap we can use two methods. Here we will use method of measuring energy band gap value using UV/Vis/NIR spectrometer. From the transmittance and reflectance data we can obtain the values of absorbance. By plotting the graph for the absorbance we can find the value for the energy band gap by using the cut off wavelength from the plot. The sample is clamped on the external port of the spectrometer then the values of transmittance and reflectance are being calculated. By using the reflectance and transmittance we can obtain the absorbance percentage.

Data and Data Analysis

|Wave length (nm) |Reflectance(%) | |Wave length(nm) | Transmittance(%) |
|379.49 |6.3038 | |379.29 |47.0576 |
|380.23 |6.0382 | |380.04 |47.4251 |
|380.97 |6.1102 | |380.79 |47.263 |
|381.72 |5.611 | |381.53 |47.805 |
|382.46 |6.1642 | |382.28 |47.4188 |
|383.2 |6.5159 | |383.03 |47.8812 |
|383.95 |6.206 | |383.77 |47.1931 |
|384.69 |6.3922 | |384.52 |48.0632 |
|385.43 |6.0091 | |385.26 |47.8675 |
|386.17 |6.415 | |386.01 |47.9366 |
|386.92 |6.0261 | |386.76 |47.2244 |
|387.66 |5.7682 | |387.5 |48.2443 |
|388.4 |5.8828 | |388.25 |47.6989 |
|389.15 |6.1074 | |388.99 |48.1023 |
|389.89 |6.1508 | |389.74 |48.1857 |
|390.63 |5.8268 | |390.48 |46.8069 |
|391.37 |6.0843 | |391.23 |47.9257 |
|392.12 |5.6441 | |391.97 |47.7722 |
|392.86 |5.6834 | |392.72 |47.708 |
|393.6 |5.6994 | |393.46 |48.5943 |
|394.34 |5.8042 | |394.21 |47.9808 |
|395.08 |5.85 | |394.95 |47.9834 |
|395.83 |6.0705 | |395.7 |47.7931 |
|396.57 |5.4858 | |396.44 |48.3567 |
|397.31 |5.8819 | |397.19 |47.8223 |
|398.05 |5.6065 | |397.93 |48.1853 |
|398.79 |5.6257 | |398.68 |47.3973 |
|399.54 |6.0026 | |399.42 |48.2198 |
|400.28 |5.7876 | |400.17 |47.8763 |
|401.02 |5.4899 | |400.91 |47.9303 |
|401.76 |5.5595 | |401.65 |47.9867 |
|402.5 |5.592 | |402.4 |47.737 |
|403.24 |5.7673 | |403.14 |47.584 |
|403.98 |5.6193 | |403.89 |47.8189 |
|404.73 |5.5682 | |404.63 |47.6765 |
|405.47 |5.5801 | |405.37 |47.4536 |
|406.21 |5.5711 | |406.12 |47.0887 |
|406.95 |5.5277 | |406.86 |47.2729 |
|407.69 |5.6459 | |407.61 |47.3989 |
|408.43 |5.8877 | |408.35 |47.0166 |
|409.17 |5.4263 | |409.09 |47.0631 |
|409.91 |5.3375 | |409.84 |46.6522 |
|410.65 |5.6539 | |410.58 |46.7832 |
|411.39 |5.7701 | |411.32 |46.3009 |
|412.13 |5.5978 | |412.07 |46.4186 |
|412.87 |5.5593 | |412.81 |46.383 |
|413.61 |5.5551 | |413.55 |46.3307 |
|414.35 |5.4964 | |414.29 |46.3848 |
|415.09 |5.511 | |415.04 |46.0603 |
|415.84 |5.4422 | |415.78 |46.1802 |
|416.58 |5.7326 | |416.52 |45.9275 |
|417.32 |5.8199 | |417.27 |46.0141 |
|418.06 |5.4384 | |418.01 |45.7518 |
|418.8 |5.3216 | |418.75 |45.6883 |
|419.54 |5.6536 | |419.49 |45.3462 |
|420.27 |5.5348 | |420.24 |45.2424 |
|421.01 |5.5881 | |420.98 |44.792 |
|421.75 |5.5755 | |421.72 |44.8784 |
|422.49 |5.5042 | |422.46 |44.841 |
|423.23 |5.579 | |423.21 |44.5872 |
|423.97 |5.4421 | |423.95 |44.2278 |
|424.71 |5.6525 | |424.69 |44.2733 |
|425.45 |5.5546 | |425.43 |43.6352 |
|426.19 |5.5637 | |426.17 |43.8681 |
|426.93 |5.7258 | |426.91 |43.7915 |
|427.67 |5.6502 | |427.66 |43.6627 |
|428.41 |5.5645 | |428.4 |43.5126 |
|429.15 |5.5381 | |429.14 |42.927 |
|429.89 |5.6018 | |429.88 |42.821 |
|430.62 |5.5568 | |430.62 |42.9056 |
|431.36 |5.5024 | |431.36 |42.5116 |
|432.1 |5.5112 | |432.1 |42.2523 |
|432.84 |5.5978 | |432.85 |42.0862 |
|433.58 |5.5869 | |433.59 |41.7344 |
|434.32 |5.509 | |434.33 |41.521 |
|435.06 |5.7465 | |435.07 |41.7401 |
|435.79 |5.6348 | |435.81 |40.9819 |
|436.53 |5.5725 | |436.55 |41.19 |
|437.27 |5.568 | |437.29 |40.7982 |
|438.01 |5.6093 | |438.03 |40.8766 |
|438.75 |5.5508 | |438.77 |40.55 |
|439.49 |5.7209 | |439.51 |40.6185 |
|440.22 |5.6574 | |440.25 |40.3015 |
|440.96 |5.6539 | |440.99 |40.2885 |
|441.7 |5.6258 | |441.73 |40.0725 |
|442.44 |5.7058 | |442.47 |39.7863 |
|443.17 |5.8023 | |443.21 |39.5345 |
|443.91 |5.7471 | |443.95 |39.3857 |
|444.65 |5.7953 | |444.69 |39.1837 |
|445.39 |5.8735 | |445.43 |39.0249 |
|446.12 |5.7578 | |446.17 |38.4227 |
|446.86 |5.7892 | |446.91 |38.7164 |
|447.6 |5.8537 | |447.65 |38.3665 |
|448.34 |5.7976 | |448.39 |38.1833 |
|449.07 |5.9374 | |449.13 |37.8939 |
|449.81 |5.9086 | |449.87 |37.8289 |
|450.55 |5.9706 | |450.61 |37.6751 |
|451.28 |5.9032 | |451.35 |37.4446 |
|452.02 |5.8944 | |452.09 |37.2975 |
|452.76 |5.9656 | |452.83 |37.0872 |
|453.49 |5.9928 | |453.57 |36.6765 |
|454.23 |5.9045 | |454.31 |36.4642 |
|454.97 |5.9589 | |455.05 |36.3107 |
|455.7 |5.9785 | |455.79 |36.0515 |
|456.44 |5.9473 | |456.52 |35.7398 |
|457.18 |6.0121 | |457.26 |35.608 |
|457.91 |6.0407 | |458 |35.3802 |
|458.65 |6.0459 | |458.74 |35.3096 |
|459.39 |6.0538 | |459.48 |34.8869 |
|460.12 |6.2002 | |460.22 |34.8005 |
|460.86 |6.2505 | |460.96 |34.6899 |
|461.59 |6.1592 | |461.69 |34.5434 |
|462.33 |6.2011 | |462.43 |34.2555 |
|463.07 |6.2797 | |463.17 |33.7656 |
|463.8 |6.1868 | |463.91 |33.6796 |
|464.54 |6.2932 | |464.65 |33.5192 |
|465.27 |6.2857 | |465.38 |33.3459 |
|466.01 |6.3657 | |466.12 |33.0791 |
|466.74 |6.4418 | |466.86 |32.8759 |
|467.48 |6.4521 | |467.6 |32.7698 |
|468.22 |6.3952 | |468.34 |32.4644 |
|468.95 |6.4707 | |469.07 |32.3313 |
|469.69 |6.5087 | |469.81 |32.0708 |
|470.42 |6.5667 | |470.55 |31.8631 |
|471.16 |6.5443 | |471.28 |31.6662 |
|471.89 |6.661 | |472.02 |31.5038 |
|472.63 |6.6718 | |472.76 |31.2404 |
|473.36 |6.732 | |473.5 |31.096 |
|474.1 |6.7784 | |474.23 |30.7773 |
|474.83 |6.9093 | |474.97 |30.6535 |
|475.57 |6.8643 | |475.71 |30.4591 |
|476.3 |6.9049 | |476.44 |30.3569 |
|477.03 |6.9485 | |477.18 |30.1488 |
|477.77 |6.99 | |477.92 |30.0595 |
|478.5 |6.9237 | |478.65 |29.8974 |
|479.24 |7.0254 | |479.39 |29.6 |
|479.97 |7.1299 | |480.13 |29.602 |
|480.71 |7.1786 | |480.86 |29.5372 |
|481.44 |7.2573 | |481.6 |29.2468 |
|482.17 |7.264 | |482.34 |29.2496 |
|482.91 |7.3112 | |483.07 |29.06 |
|483.64 |7.3842 | |483.81 |28.9808 |
|484.38 |7.4032 | |484.54 |28.5944 |
|485.11 |7.4684 | |485.28 |28.6912 |
|485.84 |7.4676 | |486.02 |28.2948 |
|486.58 |7.6059 | |486.75 |28.1974 |
|487.31 |7.5469 | |487.49 |28.2764 |
|488.04 |7.5699 | |488.22 |28.2556 |
|488.78 |7.5751 | |488.96 |28.2687 |
|489.51 |7.6973 | |489.69 |28.0388 |
|490.25 |7.5965 | |490.43 |27.8383 |
|490.98 |7.7861 | |491.17 |27.7617 |
|491.71 |7.727 | |491.9 |27.5462 |
|492.44 |7.8272 | |492.64 |27.6634 |
|493.18 |7.9187 | |493.37 |27.5649 |
|493.91 |7.9381 | |494.11 |27.5226 |
|494.64 |7.9525 | |494.84 |27.3649 |
|495.38 |8.0538 | |495.58 |27.3676 |
|496.11 |8.1654 | |496.31 |27.3221 |
|496.84 |8.1644 | |497.05 |27.2877 |
|497.57 |8.1242 | |497.78 |27.0866 |
|498.31 |8.184 | |498.51 |27.1047 |
|499.04 |8.2248 | |499.25 |26.9175 |
|499.77 |8.2778 | |499.98 |26.7888 |
|500.5 |8.2927 | |500.72 |26.8212 |
|501.24 |8.3385 | |501.45 |26.8195 |
|501.97 |8.3318 | |502.19 |26.7707 |
|502.7 |8.449 | |502.92 |26.8041 |
|503.43 |8.4767 | |503.65 |26.6753 |
|504.17 |8.5178 | |504.39 |26.5385 |
|504.9 |8.57 | |505.12 |26.4676 |
|505.63 |8.5985 | |505.86 |26.3965 |
|506.36 |8.606 | |506.59 |26.3467 |
|507.09 |8.6825 | |507.32 |26.4714 |
|507.83 |8.6764 | |508.06 |26.2836 |
|508.56 |8.7731 | |508.79 |26.448 |
|509.29 |8.826 | |509.52 |26.3561 |
|510.02 |8.8784 | |510.26 |26.4496 |
|510.75 |8.8573 | |510.99 |26.3952 |
|511.48 |8.9543 | |511.73 |26.4934 |
|512.21 |8.9331 | |512.46 |26.3677 |
|512.95 |8.9539 | |513.19 |26.435 |
|513.68 |8.9806 | |513.92 |26.5361 |
|514.41 |9.0596 | |514.66 |26.6178 |
|515.14 |9.0661 | |515.39 |26.5765 |
|515.87 |9.0718 | |516.12 |26.58 |
|516.6 |9.1167 | |516.86 |26.6477 |
|517.33 |9.1385 | |517.59 |26.747 |
|518.06 |9.1444 | |518.32 |26.792 |
|518.79 |9.2132 | |519.05 |26.8248 |
|519.52 |9.1707 | |519.79 |26.8847 |
|520.25 |9.2762 | |520.52 |26.9901 |
|520.98 |9.3115 | |521.25 |27.0329 |
|521.72 |9.3047 | |521.98 |27.225 |
|522.45 |9.3047 | |522.72 |27.3528 |
|523.18 |9.3347 | |523.45 |27.4859 |
|523.91 |9.3523 | |524.18 |27.6138 |
|524.64 |9.3926 | |524.91 |27.7346 |
|525.37 |9.3455 | |525.64 |27.8591 |
|526.1 |9.4412 | |526.38 |27.9962 |
|526.83 |9.3738 | |527.11 |28.0467 |
|527.56 |9.4347 | |527.84 |28.3122 |
|528.29 |9.3994 | |528.57 |28.4852 |
|529.02 |9.4821 | |529.3 |28.4786 |
|529.75 |9.4204 | |530.03 |28.6905 |
|530.47 |9.4927 | |530.76 |28.7229 |
|531.2 |9.5024 | |531.5 |28.9154 |
|531.93 |9.52 | |532.23 |29.0822 |
|532.66 |9.4789 | |532.96 |29.1522 |
|533.39 |9.5441 | |533.69 |29.4019 |
|534.12 |9.502 | |534.42 |29.5604 |
|534.85 |9.4918 | |535.15 |29.7088 |
|535.58 |9.5036 | |535.88 |29.7267 |
|536.31 |9.5668 | |536.61 |29.9473 |
|537.04 |9.6183 | |537.34 |29.9792 |
|537.77 |9.6362 | |538.07 |30.1819 |
|538.5 |9.6154 | |538.81 |30.2856 |
|539.23 |9.6305 | |539.54 |30.4722 |
|539.95 |9.6546 | |540.27 |30.581 |
|540.68 |9.6744 | |541 |30.7335 |
|541.41 |9.6786 | |541.73 |30.9079 |
|542.14 |9.7211 | |542.46 |30.9838 |
|542.87 |9.6705 | |543.19 |31.0367 |
|543.6 |9.7661 | |543.92 |31.1556 |
|544.32 |9.7485 | |544.65 |31.1897 |
|545.05 |9.7956 | |545.38 |31.4062 |
|545.78 |9.8027 | |546.11 |31.5248 |
|546.51 |9.8294 | |546.84 |31.6788 |
|547.24 |9.8003 | |547.57 |31.7391 |
|547.97 |9.7938 | |548.3 |31.981 |
|548.69 |9.8312 | |549.03 |31.9885 |
|549.42 |9.8789 | |549.75 |32.2202 |
|550.15 |9.8432 | |550.48 |32.2585 |
|550.88 |9.8721 | |551.21 |32.6759 |
|551.6 |9.8296 | |551.94 |32.9194 |
|552.33 |9.9132 | |552.67 |33.0789 |
|553.06 |9.8966 | |553.4 |33.2605 |
|553.79 |9.9045 | |554.13 |33.4495 |
|554.51 |9.9304 | |554.86 |33.6275 |
|555.24 |9.9408 | |555.59 |33.9216 |
|555.97 |9.8776 | |556.32 |34.1897 |
|556.7 |9.9616 | |557.05 |34.4423 |
|557.42 |9.9142 | |557.77 |34.726 |
|558.15 |9.9218 | |558.5 |35.0774 |
|558.88 |9.8863 | |559.23 |35.3456 |
|559.6 |9.9481 | |559.96 |35.668 |
|560.33 |9.889 | |560.69 |35.9017 |
|561.06 |9.8985 | |561.42 |36.2868 |
|561.78 |9.8448 | |562.14 |36.6295 |
|562.51 |9.862 | |562.87 |37.115 |
|563.24 |9.8461 | |563.6 |37.5208 |
|563.96 |9.8562 | |564.33 |37.963 |
|564.69 |9.7863 | |565.06 |38.2574 |
|565.42 |9.9696 | |565.78 |38.7743 |
|566.14 |9.8364 | |566.51 |39.1718 |
|566.87 |9.8642 | |567.24 |39.6031 |
|567.6 |9.805 | |567.97 |40.0769 |
|568.32 |9.8123 | |568.7 |40.3508 |
|569.05 |9.8145 | |569.42 |40.7192 |
|569.77 |9.7934 | |570.15 |41.1645 |
|570.5 |9.7552 | |570.88 |41.4721 |
|571.23 |9.7665 | |571.6 |41.9905 |
|571.95 |9.7227 | |572.33 |42.3968 |
|572.68 |9.7808 | |573.06 |42.898 |
|573.4 |9.7722 | |573.79 |43.2642 |
|574.13 |9.7838 | |574.51 |43.6352 |
|574.85 |9.7356 | |575.24 |44.1441 |
|575.58 |9.7731 | |575.97 |44.5948 |
|576.3 |9.7679 | |576.69 |45.0063 |
|577.03 |9.7626 | |577.42 |45.3603 |
|577.76 |9.7594 | |578.15 |45.6896 |
|578.48 |9.7849 | |578.87 |46.0743 |
|579.21 |9.8233 | |579.6 |46.1936 |
|579.93 |9.8709 | |580.33 |46.642 |
|580.66 |9.8864 | |581.05 |46.9484 |
|581.38 |9.9155 | |581.78 |47.1918 |
|582.11 |9.8355 | |582.5 |47.5714 |
|582.83 |9.9006 | |583.23 |47.9007 |
|583.55 |9.8437 | |583.96 |48.0705 |
|584.28 |9.9439 | |584.68 |48.3443 |
|585 |9.9514 | |585.41 |48.6297 |
|585.73 |9.9888 | |586.13 |49.038 |
|586.45 |9.936 | |586.86 |49.24 |
|587.18 |10.0167 | |587.59 |49.5446 |
|587.9 |10.0355 | |588.31 |49.7307 |
|588.63 |10.0646 | |589.04 |49.8624 |
|589.35 |10.1307 | |589.76 |50.0898 |
|590.07 |10.1802 | |590.49 |50.2238 |
|590.8 |10.1924 | |591.21 |50.402 |
|591.52 |10.2351 | |591.94 |50.5413 |
|592.25 |10.1898 | |592.66 |50.6357 |
|592.97 |10.2123 | |593.39 |50.8474 |
|593.69 |10.2461 | |594.11 |51.0015 |
|594.42 |10.3589 | |594.84 |51.2547 |
|595.14 |10.3555 | |595.56 |51.4049 |
|595.86 |10.4368 | |596.29 |51.5625 |
|596.59 |10.4082 | |597.01 |51.6219 |
|597.31 |10.4744 | |597.74 |51.8008 |
|598.03 |10.4938 | |598.46 |51.8848 |
|598.76 |10.5276 | |599.19 |52.1405 |
|599.48 |10.5439 | |599.91 |52.2383 |
|600.2 |10.5618 | |600.63 |52.5134 |
|600.93 |10.5853 | |601.36 |52.6988 |
|601.65 |10.6091 | |602.08 |53.0479 |
|602.37 |10.5909 | |602.81 |53.3124 |
|603.1 |10.6726 | |603.53 |53.4871 |
|603.82 |10.6221 | |604.26 |53.6809 |
|604.54 |10.736 | |604.98 |54.0822 |
|605.26 |10.6656 | |605.7 |54.4156 |
|605.99 |10.7255 | |606.43 |54.7781 |
|606.71 |10.7033 | |607.15 |55.1359 |
|607.43 |10.7597 | |607.87 |55.4665 |
|608.15 |10.7629 | |608.6 |55.669 |
|608.88 |10.8179 | |609.32 |56.1548 |
|609.6 |10.8123 | |610.04 |56.525 |
|610.32 |10.8494 | |610.77 |57.0281 |
|611.04 |10.807 | |611.49 |57.4855 |
|611.76 |10.8505 | |612.21 |57.9999 |
|612.49 |10.8246 | |612.94 |58.4662 |
|613.21 |10.8706 | |613.66 |58.9175 |
|613.93 |10.8765 | |614.38 |59.2822 |
|614.65 |10.9357 | |615.11 |59.7221 |
|615.37 |10.99 | |615.83 |60.4255 |
|616.1 |10.9958 | |616.55 |61.1621 |
|616.82 |10.9347 | |617.27 |61.7511 |
|617.54 |11.0142 | |618 |62.4948 |
|618.26 |10.95 | |618.72 |63.0051 |
|618.98 |11.0585 | |619.44 |63.5409 |
|619.7 |11.0756 | |620.16 |64.0831 |
|620.42 |11.1824 | |620.89 |64.6168 |
|621.14 |11.1669 | |621.61 |65.0503 |
|621.87 |11.199 | |622.33 |65.6563 |
|622.59 |11.1712 | |623.05 |66.3486 |
|623.31 |11.227 | |623.77 |67.116 |
|624.03 |11.289 | |624.5 |67.596 |
|624.75 |11.3991 | |625.22 |68.1228 |
|625.47 |11.4002 | |625.94 |68.4631 |
|626.19 |11.5336 | |626.66 |68.9556 |
|626.91 |11.5301 | |627.38 |69.3905 |
|627.63 |11.593 | |628.1 |70.0469 |
|628.35 |11.6033 | |628.83 |70.5644 |
|629.07 |11.6855 | |629.55 |71.1045 |
|629.79 |11.698 | |630.27 |71.6097 |
|630.51 |11.8143 | |630.99 |72.2057 |
|631.23 |11.8492 | |631.71 |72.813 |
|631.95 |11.9993 | |632.43 |73.3347 |
|632.67 |12.0267 | |633.15 |73.6809 |
|633.39 |12.0694 | |633.87 |73.9968 |
|634.11 |12.114 | |634.59 |74.2803 |
|634.83 |12.2501 | |635.32 |74.6977 |
|635.55 |12.2907 | |636.04 |75.0424 |
|636.27 |12.4569 | |636.76 |75.3127 |
|636.99 |12.4456 | |637.48 |75.465 |
|637.71 |12.6273 | |638.2 |75.7498 |
|638.43 |12.6305 | |638.92 |76.1581 |
|639.15 |12.7517 | |639.64 |76.4425 |
|639.87 |12.8119 | |640.36 |76.5312 |
|640.59 |12.8359 | |641.08 |76.8079 |
|641.31 |12.8756 | |641.8 |76.9332 |
|642.03 |13.0039 | |642.52 |77.0896 |
|642.75 |13.0624 | |643.24 |77.2299 |
|643.47 |13.2761 | |643.96 |77.5082 |
|644.19 |13.2025 | |644.68 |77.7086 |
|644.9 |13.3207 | |645.4 |78.0164 |
|645.62 |13.2965 | |646.12 |78.2684 |
|646.34 |13.4068 | |646.84 |78.4771 |
|647.06 |13.4407 | |647.56 |78.581 |
|647.78 |13.4861 | |648.28 |78.6496 |
|648.5 |13.5291 | |649 |78.5901 |
|649.22 |13.6179 | |649.72 |78.7093 |
|649.94 |13.5997 | |650.44 |78.7061 |
|650.65 |13.6915 | |651.15 |78.9209 |
|651.37 |13.6807 | |651.87 |79.2446 |
|652.09 |13.7952 | |652.59 |79.484 |
|652.81 |13.7822 | |653.31 |79.6377 |
|653.53 |13.926 | |654.03 |79.5689 |
|654.24 |13.9564 | |654.75 |79.6273 |
|654.96 |14.0678 | |655.47 |79.778 |
|655.68 |14.0061 | |656.19 |79.891 |
|656.4 |14.0209 | |656.91 |79.851 |
|657.12 |14.0393 | |657.62 |79.7475 |
|657.83 |14.1838 | |658.34 |79.8811 |
|658.55 |14.1616 | |659.06 |79.9764 |
|659.27 |14.2646 | |659.78 |80.0745 |
|659.99 |14.1929 | |660.5 |80.1794 |
|660.7 |14.2734 | |661.22 |80.1673 |
|661.42 |14.2486 | |661.93 |80.095 |
|662.14 |14.3371 | |662.65 |80.0273 |
|662.86 |14.3399 | |663.37 |80.1502 |
|663.57 |14.5256 | |664.09 |80.0816 |
|664.29 |14.4926 | |664.8 |80.1804 |
|665.01 |14.5534 | |665.52 |80.2051 |
|665.72 |14.5803 | |666.24 |80.2247 |
|666.44 |14.5521 | |666.96 |80.3109 |
|667.16 |14.5532 | |667.68 |80.4466 |
|667.87 |14.6382 | |668.39 |80.4755 |
|668.59 |14.6312 | |669.11 |80.3338 |
|669.31 |14.7 | |669.83 |80.2492 |
|670.02 |14.6804 | |670.54 |80.3462 |
|670.74 |14.7183 | |671.26 |80.3136 |
|671.46 |14.679 | |671.98 |80.2469 |
|672.17 |14.781 | |672.7 |80.2939 |
|672.89 |14.7392 | |673.41 |80.3254 |
|673.61 |14.7689 | |674.13 |80.4974 |
|674.32 |14.7058 | |674.85 |80.5112 |
|675.04 |14.8372 | |675.56 |80.3008 |
|675.75 |14.7687 | |676.28 |80.2402 |
|676.47 |14.8512 | |677 |80.109 |
|677.19 |14.8122 | |677.71 |80.0064 |
|677.9 |14.9712 | |678.43 |80.1325 |
|678.62 |14.8529 | |679.14 |80.2912 |
|679.33 |14.9644 | |679.86 |80.5849 |
|680.05 |14.9461 | |680.58 |80.5756 |
|680.76 |14.9758 | |681.29 |80.5045 |
|681.48 |14.9591 | |682.01 |80.458 |
|682.2 |15.0521 | |682.73 |80.4581 |
|682.91 |14.9992 | |683.44 |80.4948 |
|683.63 |15.0874 | |684.16 |80.5173 |
|684.34 |15.0525 | |684.87 |80.5469 |
|685.06 |15.0876 | |685.59 |80.5635 |
|685.77 |15.0891 | |686.3 |80.4072 |
|686.49 |15.1054 | |687.02 |80.3874 |
|687.2 |15.1672 | |687.73 |80.4112 |
|687.92 |15.2075 | |688.45 |80.3155 |
|688.63 |15.138 | |689.17 |80.2748 |
|689.35 |15.2108 | |689.88 |80.2828 |
|690.06 |15.1854 | |690.6 |80.4059 |
|690.78 |15.1729 | |691.31 |80.5505 |
|691.49 |15.1731 | |692.03 |80.2628 |
|692.2 |15.2555 | |692.74 |80.0829 |
|692.92 |15.2395 | |693.46 |80.1239 |
|693.63 |15.294 | |694.17 |80.1801 |
|694.35 |15.3001 | |694.89 |79.9313 |
|695.06 |15.3182 | |695.6 |79.7466 |
|695.78 |15.3177 | |696.31 |79.6737 |
|696.49 |15.3732 | |697.03 |79.8262 |
|697.2 |15.3784 | |697.74 |79.9679 |
|697.92 |15.3969 | |698.46 |80.1463 |
|698.63 |15.3561 | |699.17 |80.2116 |
|699.34 |15.3979 | |699.89 |80.3982 |
|700.06 |15.3363 | |700.6 |80.398 |
|700.77 |15.4191 | |701.31 |80.3648 |
|701.49 |15.3884 | |702.03 |80.2948 |
|702.2 |15.4501 | |702.74 |80.2335 |
|702.91 |15.478 | |703.46 |80.1662 |
|703.63 |15.5559 | |704.17 |80.363 |
|704.34 |15.4846 | |704.88 |80.2458 |
|705.05 |15.5996 | |705.6 |80.3794 |
|705.77 |15.5082 | |706.31 |80.1847 |
|706.48 |15.5981 | |707.02 |80.087 |
|707.19 |15.5662 | |707.74 |80.1046 |
|707.9 |15.649 | |708.45 |80.1806 |
|708.62 |15.5732 | |709.16 |80.1355 |
|709.33 |15.6342 | |709.88 |80.0984 |
|710.04 |15.5912 | |710.59 |80.1153 |
|710.76 |15.6579 | |711.3 |80.1079 |
|711.47 |15.6144 | |712.02 |79.8755 |
|712.18 |15.6727 | |712.73 |79.8185 |
|712.89 |15.6646 | |713.44 |79.8975 |
|713.61 |15.7282 | |714.15 |80.097 |
|714.32 |15.6391 | |714.87 |80.2206 |
|715.03 |15.7152 | |715.58 |80.1836 |
|715.74 |15.7051 | |716.29 |80.1571 |
|716.46 |15.7449 | |717 |80.3202 |
|717.17 |15.7192 | |717.72 |80.1209 |
|717.88 |15.7734 | |718.43 |79.9654 |
|718.59 |15.7529 | |719.14 |79.9032 |
|719.3 |15.8076 | |719.85 |79.8712 |
|720.01 |15.7495 | |720.56 |79.9411 |
|720.73 |15.8702 | |721.28 |79.9451 |
|721.44 |15.8122 | |721.99 |80.2463 |
|722.15 |15.8941 | |722.7 |80.4054 |
|722.86 |15.8153 | |723.41 |80.3778 |
|723.57 |15.91 | |724.12 |80.25 |
|724.28 |15.8716 | |724.84 |80.3239 |
|725 |15.8989 | |725.55 |80.4907 |
|725.71 |15.8387 | |726.26 |80.5079 |
|726.42 |15.919 | |726.97 |80.5285 |
|727.13 |15.8151 | |727.68 |80.4968 |
|727.84 |15.9291 | |728.39 |80.2631 |
|728.55 |15.8643 | |729.1 |80.3005 |
|729.26 |15.9172 | |729.81 |80.2918 |
|729.97 |15.8273 | |730.53 |80.1709 |
|730.68 |15.9154 | |731.24 |80.2849 |
|731.39 |15.8584 | |731.95 |80.1956 |
|732.11 |16.0136 | |732.66 |80.0771 |
|732.82 |16.0222 | |733.37 |80.0205 |
|733.53 |16.1468 | |734.08 |79.9184 |
|734.24 |15.9266 | |734.79 |80.1129 |
|734.95 |15.994 | |735.5 |80.158 |
|735.66 |15.9623 | |736.21 |80.3019 |
|736.37 |16.028 | |736.92 |80.2223 |
|737.08 |15.9742 | |737.63 |80.0734 |
|737.79 |16.0751 | |738.34 |80.1004 |
|738.5 |16.0074 | |739.05 |80.1331 |
|739.21 |16.0979 | |739.76 |80.2406 |
|739.92 |16.0729 | |740.47 |80.2793 |
|740.63 |16.1072 | |741.18 |80.1503 |
|741.34 |15.993 | |741.89 |80.2466 |
|742.05 |16.0995 | |742.6 |80.246 |
|742.76 |15.9801 | |743.31 |79.9694 |
|743.47 |16.0914 | |744.02 |79.761 |
|744.18 |16.0027 | |744.73 |79.5655 |
|744.89 |16.0915 | |745.44 |79.4036 |
|745.6 |16.0263 | |746.15 |79.4244 |
|746.3 |16.0546 | |746.86 |79.6457 |
|747.01 |16.0355 | |747.57 |79.8446 |
|747.72 |15.9985 | |748.28 |80.2363 |
|748.43 |15.9825 | |748.99 |80.5605 |
|749.14 |16.0733 | |749.7 |80.6058 |
|749.85 |15.9679 | |750.4 |80.5403 |
|750.56 |16.1263 | |751.11 |80.2613 |
|751.27 |16.0453 | |751.82 |80.1456 |
|751.98 |16.0391 | |752.53 |79.9481 |
|752.69 |16.018 | |753.24 |79.6038 |
|753.39 |16.0869 | |753.95 |79.5854 |
|754.1 |15.9976 | |754.66 |79.5195 |
|754.81 |16.0794 | |755.36 |79.6002 |
|755.52 |16.0538 | |756.07 |79.6519 |
|756.23 |16.1792 | |756.78 |79.6713 |
|756.94 |16.134 | |757.49 |79.5061 |
|757.64 |16.2318 | |758.2 |79.4759 |
|758.35 |16.1296 | |758.91 |79.6755 |
|759.06 |16.2005 | |759.61 |79.8398 |
|759.77 |16.0856 | |760.32 |79.8693 |
|760.48 |16.1399 | |761.03 |79.839 |
|761.18 |16.0714 | |761.74 |80.1229 |
|761.89 |16.2088 | |762.45 |80.1507 |
|762.6 |16.1158 | |763.15 |80.3073 |
|763.31 |16.322 | |763.86 |80.3193 |
|764.02 |16.06 | |764.57 |80.3346 |
|764.72 |16.1128 | |765.28 |80.2255 |
|765.43 |16.0803 | |765.98 |80.0643 |
|766.14 |16.1545 | |766.69 |79.7073 |
|766.84 |16.0935 | |767.4 |79.6869 |
|767.55 |16.0755 | |768.1 |79.7167 |
|768.26 |16.0864 | |768.81 |79.9001 |
|768.97 |16.1169 | |769.52 |80.1852 |
|769.67 |16.112 | |770.23 |80.3457 |
|770.38 |16.0981 | |770.93 |80.3615 |
|771.09 |16.0556 | |771.64 |80.0811 |
|771.79 |16.1827 | |772.35 |79.9493 |
|772.5 |16.1539 | |773.05 |79.8239 |
|773.21 |16.1697 | |773.76 |79.6221 |
|773.91 |16.1639 | |774.46 |79.5871 |
|774.62 |16.2093 | |775.17 |79.6384 |
|775.33 |16.165 | |775.88 |79.8296 |
|776.03 |16.1877 | |776.58 |80.0207 |
|776.74 |16.1596 | |777.29 |80.1616 |
|777.45 |16.1873 | |778 |80.2407 |
|778.15 |16.0938 | |778.7 |80.4483 |
|778.86 |16.1983 | |779.41 |80.7872 |
|779.57 |16.0618 | |780.11 |80.8907 |
|780.27 |16.1109 | |780.82 |80.9299 |
|780.98 |16.0391 | |781.53 |80.7386 |
|781.68 |16.1371 | |782.23 |80.6155 |
|782.39 |16.0522 | |782.94 |80.3072 |
|783.1 |16.1668 | |783.64 |80.1298 |
|783.8 |16.0957 | |784.35 |80.0708 |
|784.51 |16.1717 | |785.05 |80.1454 |
|785.21 |16.0391 | |785.76 |80.0118 |
|785.92 |16.1838 | |786.46 |79.9807 |
|786.62 |16.151 | |787.17 |79.9605 |
|787.33 |16.1682 | |787.87 |80.0474 |
|788.03 |16.0951 | |788.58 |80.0142 |
|788.74 |16.2527 | |789.28 |79.8437 |
|789.44 |16.1608 | |789.99 |79.7177 |
|790.15 |16.2073 | |790.69 |79.8574 |
|790.85 |16.1654 | |791.4 |80.073 |
|791.56 |16.2719 | |792.1 |80.2147 |
|792.26 |16.1075 | |792.81 |80.1946 |
|792.97 |16.1913 | |793.51 |80.108 |
|793.67 |16.2363 | |794.22 |80.0707 |
|794.38 |16.3062 | |794.92 |80.2008 |
|795.08 |16.2919 | |795.62 |80.3656 |
|795.79 |16.3563 | |796.33 |80.3652 |
|796.49 |16.2105 | |797.03 |80.4931 |
|797.2 |16.3017 | |797.74 |80.6354 |
|797.9 |16.3429 | |798.44 |80.4944 |
|798.61 |16.3011 | |799.14 |80.4398 |
|799.31 |16.2139 | |799.85 |80.352 |
|800.01 |16.3429 | |800.55 |80.334 |
|800.72 |16.2405 | |801.26 |80.5385 |
|801.42 |16.2897 | |801.96 |80.5823 |
|802.13 |16.2129 | |802.66 |80.3842 |
|802.83 |16.2956 | |803.37 |80.3824 |
|803.53 |16.336 | |804.07 |80.269 |
|804.24 |16.2416 | |804.77 |80.2199 |
|804.94 |16.1351 | |805.48 |80.1238 |
|805.64 |16.2454 | |806.18 |80.2288 |
|806.35 |16.2145 | |806.88 |80.2039 |
|807.05 |16.2501 | |807.59 |80.2391 |
|807.76 |16.1986 | |808.29 |80.5786 |
|808.46 |16.333 | |808.99 |80.6161 |
|809.16 |16.2621 | |809.69 |80.5883 |
|809.86 |16.365 | |810.4 |80.5785 |
|810.57 |16.2349 | |811.1 |80.6433 |
|811.27 |16.3135 | |811.8 |80.452 |
|811.97 |16.1788 | |812.5 |80.1894 |
|812.68 |16.274 | |813.21 |80.2921 |
|813.38 |16.2687 | |813.91 |80.3243 |
|814.08 |16.3826 | |814.61 |80.2778 |
|814.79 |16.3822 | |815.31 |80.3905 |
|815.49 |16.3513 | |816.02 |80.492 |
|816.19 |16.3137 | |816.72 |80.5313 |
|816.89 |16.3643 | |817.42 |80.5182 |
|817.6 |16.3089 | |818.12 |80.5222 |
|818.3 |16.3849 | |818.82 |80.5236 |
|819 |16.225 | |819.53 |80.5041 |
|819.7 |16.3288 | |820.23 |80.4114 |
|820.4 |16.1797 | |820.93 |80.3867 |
|821.11 |16.3099 | |821.63 |80.4915 |
|821.81 |16.2022 | |822.33 |80.3992 |
|822.51 |16.4549 | |823.03 |80.2646 |
|823.21 |16.2027 | |823.73 |80.2337 |
|823.91 |16.3162 | |824.44 |80.2664 |
|824.62 |16.3033 | |825.14 |80.2577 |
|825.32 |16.5642 | |825.84 |80.2255 |
|826.02 |16.3342 | |826.54 |80.135 |
|826.72 |16.4216 | |827.24 |80.1532 |
|827.42 |16.3308 | |827.94 |80.0972 |
|828.12 |16.3624 | |828.64 |79.8618 |
|828.83 |16.3366 | |829.34 |79.8844 |
|829.53 |16.4455 | |830.04 |79.8281 |
|830.23 |16.9086 | |830.74 |79.8737 |
|830.93 |16.4366 | |831.44 |79.9987 |
|831.63 |16.1742 | |832.14 |79.9962 |
|832.33 |16.3094 | |832.84 |80.196 |
|833.03 |16.6385 | |833.54 |80.2092 |
|833.73 |16.3435 | |834.24 |80.3788 |
|834.43 |16.0234 | |834.94 |80.5009 |
|835.14 |16.2242 | |835.64 |80.3613 |
|835.84 |16.0309 | |836.34 |80.3383 |
|836.54 |16.2503 | |837.04 |80.2567 |
|837.24 |16.1419 | |837.74 |80.159 |
|837.94 |16.3032 | |838.44 |80.154 |
|838.64 |16.1362 | |839.14 |80.3538 |
|839.34 |16.3224 | |839.84 |80.3073 |
|840.04 |16.518 | |840.54 |80.2296 |
|840.74 |16.2599 | |841.24 |80.2553 |
|841.44 |16.0666 | |841.94 |80.2314 |
|842.14 |16.3531 | |842.64 |80.1928 |
|842.84 |16.095 | |843.34 |80.3169 |
|843.54 |16.2304 | |844.04 |80.3011 |
|844.24 |16.2297 | |844.74 |80.3712 |
|844.94 |16.2853 | |845.44 |80.5433 |
|845.64 |16.05 | |846.14 |80.661 |
|846.34 |16.2534 | |846.84 |80.8606 |
|847.04 |16.2149 | |847.53 |80.7957 |
|847.74 |16.3449 | |848.23 |80.5115 |
|848.44 |16.092 | |848.93 |80.36 |
|849.14 |16.244 | |849.63 |79.962 |
|849.84 |16.1611 | |850.33 |80.0329 |
|850.54 |16.281 | |851.03 |80.2359 |
|851.23 |16.1901 | |851.73 |80.1912 |
|851.93 |16.3056 | |852.42 |80.1674 |
|852.63 |16.1694 | |853.12 |80.214 |
|853.33 |16.2626 | |853.82 |80.1952 |
|854.03 |16.1381 | |854.52 |80.1678 |
|854.73 |16.2718 | |855.22 |80.2172 |
|855.43 |16.1833 | |855.91 |80.2664 |
|856.13 |16.3457 | |856.61 |80.4617 |
|856.83 |16.2131 | |857.31 |80.6397 |
|857.52 |16.2767 | |858.01 |80.7851 |
|858.22 |16.1963 | |858.71 |80.7341 |
|858.92 |16.3137 | |859.4 |80.7268 |
|859.62 |16.1856 | |860.1 |80.5898 |
|860.32 |16.2409 | |860.8 |80.6164 |
|861.02 |16.0857 | |861.5 |80.7504 |
|861.71 |16.3848 | |862.19 |80.5978 |
|862.41 |16.0585 | |862.89 |80.562 |
|863.11 |16.1611 | |863.59 |80.6355 |
|863.81 |16.1278 | |864.28 |80.8238 |
|864.51 |16.2263 | |864.98 |80.8093 |
|865.2 |16.1067 | |865.68 |80.8009 |
|865.9 |16.1069 | |866.37 |80.7355 |
|866.6 |16.0292 | |867.07 |80.4463 |
|867.3 |16.1593 | |867.77 |80.612 |
|868 |16.0485 | |868.46 |80.5039 |
|868.69 |16.2712 | |869.16 |80.6209 |
|869.39 |16.1004 | |869.86 |80.6962 |
|870.09 |16.1619 | |870.55 |80.8066 |
|870.79 |15.996 | |871.25 |80.8598 |
|871.48 |16.0694 | |871.95 |80.9049 |
|872.18 |16.0812 | |872.64 |80.8142 |
|872.88 |16.1145 | |873.34 |80.8121 |
|873.57 |16.0302 | |874.03 |80.8712 |
|874.27 |16.1612 | |874.73 |80.9029 |
|874.97 |15.9915 | |875.43 |80.9438 |
|875.66 |16.0736 | |876.12 |80.9677 |
|876.36 |15.9153 | |876.82 |81.0206 |
|877.06 |16.0758 | |877.51 |80.951 |
|877.75 |16.0239 | |878.21 |81.0961 |
|878.45 |16.0297 | |878.9 |80.959 |
|879.15 |15.9006 | |879.6 |80.9554 |
|879.84 |16.005 | |880.3 |80.691 |
|880.54 |15.9053 | |880.99 |80.6073 |
|881.24 |15.9789 | |881.69 |80.5422 |
|881.93 |15.9178 | |882.38 |80.5729 |
|882.63 |16.0184 | |883.08 |80.5295 |
|883.33 |15.9907 | |883.77 |80.539 |
|884.02 |16.0848 | |884.47 |80.6083 |
|884.72 |15.9947 | |885.16 |80.449 |
|885.41 |16.1297 | |885.86 |80.1515 |
|886.11 |16.0843 | |886.55 |80.0809 |
|886.81 |16.181 | |887.25 |80.1569 |
|887.5 |16.0549 | |887.94 |79.9487 |
|888.2 |16.2084 | |888.63 |80.2159 |
|888.89 |16.0252 | |889.33 |80.5604 |
|889.59 |16.0738 | |890.02 |80.5925 |
|890.28 |15.9637 | |890.72 |80.7336 |
|890.98 |16.1256 | |891.41 |81.0014 |
|891.67 |15.9149 | |892.11 |80.9308 |
|892.37 |16.109 | |892.8 |80.784 |
|893.06 |16.0026 | |893.49 |81.0047 |
|893.76 |16.0813 | |894.19 |81.1206 |
|894.45 |15.99 | |894.88 |81.183 |
|895.15 |15.983 | |895.57 |81.1489 |
|895.84 |15.8555 | |896.27 |81.3013 |
|896.54 |16.0273 | |896.96 |81.1694 |
|897.23 |15.9609 | |897.66 |81.0702 |
|897.93 |15.9991 | |898.35 |80.6199 |
|898.62 |16.1512 | |899.04 |80.5936 |
|899.32 |15.9807 | |899.74 |80.53 |
|900.01 |15.9685 | |900.43 |80.5922 |
|900.71 |16.1578 | |901.12 |80.8407 |
|901.4 |15.8244 | |901.82 |80.8724 |
|902.09 |16.0225 | |902.51 |80.9097 |
|902.79 |15.8349 | |903.2 |81.0453 |
|903.48 |15.9962 | |903.89 |80.8828 |
|904.18 |15.8714 | |904.59 |80.8501 |
|904.87 |15.9185 | |905.28 |80.7388 |
|905.57 |15.804 | |905.97 |80.7009 |
|906.26 |15.9621 | |906.66 |80.8613 |
|906.95 |15.8663 | |907.36 |80.8529 |
|907.65 |15.9994 | |908.05 |81.0989 |
|908.34 |15.7553 | |908.74 |81.3042 |
|909.03 |15.9565 | |909.43 |81.1732 |
|909.73 |15.9635 | |910.13 |81.2703 |
|910.42 |15.8641 | |910.82 |81.2798 |
|911.11 |15.7985 | |911.51 |81.254 |
|911.81 |15.9168 | |912.2 |81.1086 |
|912.5 |15.8215 | |912.89 |80.8813 |
|913.19 |15.9403 | |913.59 |80.9225 |
|913.89 |15.7964 | |914.28 |81.1553 |
|914.58 |15.9912 | |914.97 |81.3002 |
|915.27 |15.897 | |915.66 |81.3481 |
|915.97 |15.9968 | |916.35 |81.4934 |
|916.66 |15.9342 | |917.04 |81.4942 |
|917.35 |15.9419 | |917.74 |81.5142 |
|918.04 |15.7962 | |918.43 |81.5337 |
|918.74 |15.9159 | |919.12 |81.7324 |
|919.43 |15.8117 | |919.81 |81.9211 |
|920.12 |16.0833 | |920.5 |81.7089 |
|920.81 |15.7605 | |921.19 |81.9037 |
|921.51 |15.752 | |921.88 |81.9125 |
|922.2 |15.7345 | |922.57 |81.5666 |
|922.89 |15.7713 | |923.26 |81.3572 |
|923.58 |15.8273 | |923.95 |81.2329 |
|924.28 |15.9219 | |924.65 |80.9623 |
|924.97 |15.8166 | |925.34 |80.7838 |
|925.66 |16.2253 | |926.03 |80.7787 |
|926.35 |15.8833 | |926.72 |80.729 |
|927.04 |16.072 | |927.41 |80.7469 |
|927.74 |15.8288 | |928.1 |81.0797 |
|928.43 |15.8511 | |928.79 |81.2582 |
|929.12 |15.846 | |929.48 |81.4523 |
|929.81 |15.723 | |930.17 |81.5416 |
|930.5 |15.8528 | |930.86 |81.3358 |
|931.19 |15.8434 | |931.55 |81.1532 |
|931.88 |15.8094 | |932.24 |81.1006 |
|932.58 |15.9634 | |932.93 |80.7719 |
|933.27 |15.9147 | |933.62 |80.476 |
|933.96 |15.9972 | |934.31 |80.5083 |
|934.65 |15.85 | |935 |80.4322 |
|935.34 |16.1628 | |935.69 |80.2831 |
|936.03 |15.8695 | |936.37 |80.2572 |
|936.72 |15.8227 | |937.06 |80.4291 |
|937.41 |15.7939 | |937.75 |80.9703 |
|938.1 |15.8864 | |938.44 |81.2434 |
|938.79 |15.9143 | |939.13 |81.1453 |
|939.49 |15.9489 | |939.82 |81.2685 |
|940.18 |15.8292 | |940.51 |81.4166 |
|940.87 |15.6886 | |941.2 |81.6297 |
|941.56 |15.5787 | |941.89 |81.6008 |
|942.25 |15.801 | |942.58 |81.7437 |
|942.94 |15.6236 | |943.26 |81.7383 |
|943.63 |15.7634 | |943.95 |81.8685 |
|944.32 |15.7306 | |944.64 |81.9042 |
|945.01 |15.7279 | |945.33 |81.6444 |
|945.7 |15.7822 | |946.02 |81.5356 |
|946.39 |15.7136 | |946.71 |81.3127 |
|947.08 |15.8065 | |947.4 |81.3881 |
|947.77 |15.8291 | |948.08 |81.2851 |
|948.46 |15.809 | |948.77 |81.5222 |
|949.15 |15.823 | |949.46 |81.3945 |
|949.84 |15.6312 | |950.15 |81.3091 |
|950.53 |16.0112 | |950.84 |81.162 |
|951.22 |15.799 | |951.52 |81.1421 |
|951.9 |15.8466 | |952.21 |81.2314 |
|952.59 |15.7589 | |952.9 |81.4875 |
|953.28 |15.7963 | |953.59 |81.6682 |
|953.97 |15.7215 | |954.27 |81.587 |
|954.66 |15.8298 | |954.96 |81.6769 |
|955.35 |15.6986 | |955.65 |81.5032 |
|956.04 |15.8672 | |956.34 |81.1009 |
|956.73 |15.6539 | |957.02 |80.9121 |
|957.42 |15.8507 | |957.71 |80.6782 |
|958.11 |15.6793 | |958.4 |80.6575 |
|958.79 |15.8695 | |959.08 |80.7796 |
|959.48 |15.7849 | |959.77 |80.8941 |
|960.17 |15.7361 | |960.46 |80.8377 |
|960.86 |15.7773 | |961.14 |81.0099 |
|961.55 |15.7173 | |961.83 |81.3127 |
|962.24 |15.3615 | |962.52 |81.2982 |
|962.93 |15.5038 | |963.2 |81.3951 |
|963.61 |15.6246 | |963.89 |81.5903 |
|964.3 |15.7724 | |964.58 |81.6754 |
|964.99 |15.6699 | |965.26 |81.9264 |
|965.68 |15.7734 | |965.95 |81.6292 |
|966.37 |16.4634 | |966.64 |81.8183 |
|967.05 |15.8444 | |967.32 |81.3 |
|967.74 |15.5066 | |968.01 |81.4975 |
|968.43 |15.9063 | |968.69 |81.7855 |
|969.12 |16.0026 | |969.38 |81.8086 |
|969.81 |15.7814 | |970.07 |81.571 |
|970.49 |15.4994 | |970.75 |81.4745 |
|971.18 |15.7527 | |971.44 |81.6837 |
|971.87 |15.6074 | |972.12 |81.9919 |
|972.56 |15.8924 | |972.81 |81.8969 |
|973.24 |15.5529 | |973.49 |82.0256 |
|973.93 |16.1453 | |974.18 |82.0129 |
|974.62 |15.5365 | |974.86 |82.2516 |
|975.3 |15.9457 | |975.55 |82.1324 |
|975.99 |15.4682 | |976.23 |82.3283 |
|976.68 |15.4957 | |976.92 |82.1711 |
|977.36 |15.4463 | |977.6 |82.2489 |
|978.05 |15.4024 | |978.29 |81.715 |
|978.74 |16.1219 | |978.97 |82.0028 |
|979.43 |15.4847 | |979.66 |81.8582 |
|980.11 |15.4033 | |980.34 |81.8059 |
|980.8 |15.6631 | |981.03 |81.6443 |
|981.48 |15.4899 | |981.71 |81.3212 |
|982.17 |15.8388 | |982.4 |81.4085 |
|982.86 |15.5708 | |983.08 |81.184 |
|983.54 |15.7465 | |983.77 |81.3044 |
|984.23 |15.6849 | |984.45 |81.2235 |
|984.92 |15.8073 | |985.13 |81.5683 |
|985.6 |15.5467 | |985.82 |81.6421 |
|986.29 |15.7305 | |986.5 |81.6006 |
|986.97 |15.4157 | |987.19 |81.652 |
|987.66 |15.6804 | |987.87 |81.336 |
|988.35 |15.4737 | |988.55 |81.1402 |
|989.03 |15.5588 | |989.24 |81.0666 |
|989.72 |15.7092 | |989.92 |81.3389 |
|990.4 |15.8046 | |990.6 |81.3862 |
|991.09 |15.6112 | |991.29 |81.6895 |
|991.77 |16.5562 | |991.97 |81.857 |
|992.46 |15.6569 | |992.66 |81.922 |
|993.14 |15.4496 | |993.34 |81.704 |
|993.83 |15.758 | |994.02 |82.0644 |
|994.52 |15.2577 | |994.7 |81.5921 |
|995.2 |15.7187 | |995.39 |81.5173 |
|995.89 |15.3618 | |996.07 |81.6984 |
|996.57 |15.0923 | |996.75 |81.5013 |
|997.26 |15.4597 | |997.44 |81.3213 |
|997.94 |15.4103 | |998.12 |81.2902 |
|998.62 |15.6486 | |998.8 |81.6862 |
|999.31 |15.3768 | |999.48 |81.8668 |
|999.99 |15.7105 | |1000.17 |81.4244 |
|1000.68 |15.5231 | |1000.85 |81.499 |
|1001.36 |15.6943 | |1001.53 |81.3704 |
|1002.05 |15.526 | |1002.21 |81.4073 |
|1002.73 |15.6008 | |1002.9 |81.6601 |
|1003.42 |15.5039 | |1003.58 |81.7248 |
|1004.1 |15.4197 | |1004.26 |81.6006 |
|1004.79 |15.475 | |1004.94 |82.1024 |
|1005.47 |15.4128 | |1005.63 |82.0873 |
|1006.15 |15.4584 | |1006.31 |82.2467 |
|1006.84 |15.4067 | |1006.99 |82.1914 |
|1007.52 |15.6943 | |1007.67 |83.0085 |
|1008.2 |15.2775 | |1008.35 |82.3815 |
|1008.89 |15.3449 | |1009.03 |82.5771 |
|1009.57 |15.3081 | |1009.72 |82.6403 |
|1010.26 |15.1802 | |1010.4 |82.1752 |
|1010.94 |16.0224 | |1011.08 |82.9368 |
|1011.62 |15.2933 | |1011.76 |82.6044 |
|1012.31 |15.5566 | |1012.44 |82.3561 |
|1012.99 |15.3871 | |1013.12 |82.5868 |
|1013.67 |15.33 | |1013.8 |82.2246 |
|1014.36 |15.1651 | |1014.48 |82.3324 |
|1015.04 |15.3714 | |1015.16 |82.4944 |
|1015.72 |15.4124 | |1015.85 |82.2254 |
|1016.41 |15.2874 | |1016.53 |82.2322 |
|1017.09 |15.1993 | |1017.21 |82.2298 |
|1017.77 |15.5402 | |1017.89 |82.0659 |
|1018.45 |15.3797 | |1018.57 |82.7036 |
|1019.14 |15.3625 | |1019.25 |82.8169 |
|1019.82 |15.2763 | |1019.93 |83.0145 |
|1020.5 |15.1455 | |1020.61 |82.8938 |
|1021.19 |15.3797 | |1021.29 |82.6846 |
|1021.87 |15.9508 | |1021.97 |81.8346 |
|1022.55 |15.5961 | |1022.65 |82.1269 |
|1023.23 |14.9976 | |1023.33 |81.725 |
|1023.91 |15.5198 | |1024.01 |82.6371 |
|1024.6 |15.132 | |1024.69 |83.1072 |
|1025.28 |14.8928 | |1025.37 |82.6789 |
|1025.96 |15.4881 | |1026.05 |82.6514 |
|1026.64 |15.3103 | |1026.73 |82.3875 |
|1027.33 |15.211 | |1027.41 |82.6965 |
|1028.01 |15.1345 | |1028.09 |82.3992 |
|1028.69 |15.1547 | |1028.77 |82.6154 |
|1029.37 |14.8372 | |1029.45 |82.938 |
|1030.05 |16.698 | |1030.13 |82.4309 |
|1030.73 |15.0881 | |1030.81 |81.9032 |
|1031.42 |14.7983 | |1031.49 |82.9696 |
|1032.1 |14.7786 | |1032.16 |83.0544 |
|1032.78 |14.8599 | |1032.84 |82.7543 |
|1033.46 |15.0869 | |1033.52 |83.2974 |
|1034.14 |14.7709 | |1034.2 |83.4416 |
|1034.82 |15.0194 | |1034.88 |82.2912 |
|1035.5 |14.7899 | |1035.56 |82.3568 |
|1036.18 |15.0187 | |1036.24 |82.0689 |
|1036.87 |14.9771 | |1036.92 |82.9974 |
|1037.55 |15.1338 | |1037.59 |83.0992 |
|1038.23 |15.1669 | |1038.27 |82.823 |
|1038.91 |15.0763 | |1038.95 |83.0553 |
|1039.59 |14.7184 | |1039.63 |82.8976 |
|1040.27 |15.4408 | |1040.31 |82.4901 |
|1040.95 |15.0386 | |1040.99 |82.5579 |
|1041.63 |14.8986 | |1041.66 |82.135 |
|1042.31 |15.3292 | |1042.34 |81.7434 |
|1042.99 |15.1676 | |1043.02 |82.7936 |
|1043.67 |14.9534 | |1043.7 |81.8871 |
|1044.35 |14.5647 | |1044.38 |82.1938 |
|1045.03 |15.4939 | |1045.05 |83.3916 |
|1045.71 |15.1774 | |1045.73 |82.7521 |
|1046.39 |14.6916 | |1046.41 |82.674 |
|1047.07 |15.4966 | |1047.09 |82.2744 |
|1047.75 |14.7793 | |1047.76 |82.6876 |
|1048.43 |15.3084 | |1048.44 |81.791 |
|1049.11 |15.1255 | |1049.12 |82.0624 |
|1049.79 |15.5983 | |1049.8 |82.7441 |
|1050.47 |15.4089 | |1050.47 |82.7795 |

n and k data :

|wave length (nm) |n | |wave length (nm) |k |
|400.2769775 |1.643316269 | |400.2769775 |0.153063938 |
|401.0184937 |1.642542839 | |401.0184937 |0.154420868 |
|401.7599792 |1.641779184 | |401.7599792 |0.155789107 |
|402.5013733 |1.641025782 | |402.5013733 |0.157168686 |
|403.2427063 |1.640282869 | |403.2427063 |0.158559799 |
|403.9839783 |1.639550447 | |403.9839783 |0.159962356 |
|404.7251892 |1.638828635 | |404.7251892 |0.161376536 |
|405.4663391 |1.638117909 | |405.4663391 |0.162802339 |
|406.2073975 |1.637418151 | |406.2073975 |0.164239854 |
|406.9483948 |1.636729598 | |406.9483948 |0.165689155 |
|407.6893311 |1.636052608 | |407.6893311 |0.167150274 |
|408.4301758 |1.635387182 | |408.4301758 |0.168623313 |
|409.17099 |1.634733558 | |409.17099 |0.170108214 |
|409.9117126 |1.634091973 | |409.9117126 |0.17160514 |
|410.6523743 |1.633462667 | |410.6523743 |0.173114166 |
|411.3929749 |1.632845879 | |411.3929749 |0.174635217 |
|412.1334839 |1.632241726 | |412.1334839 |0.176168427 |
|412.8739624 |1.631650329 | |412.8739624 |0.177713886 |
|413.6143494 |1.631072283 | |413.6143494 |0.17927146 |
|414.3546753 |1.630507469 | |414.3546753 |0.180841357 |
|415.0949097 |1.629956126 | |415.0949097 |0.182423502 |
|415.8351135 |1.629418969 | |415.8351135 |0.184018001 |
|416.5752258 |1.628895521 | |416.5752258 |0.185624972 |
|417.3152771 |1.628386497 | |417.3152771 |0.187244132 |
|418.0552673 |1.627892256 | |418.0552673 |0.188875824 |
|418.795166 |1.627412558 | |418.795166 |0.190519914 |
|419.5350037 |1.626948118 | |419.5350037 |0.192176387 |
|420.2748108 |1.626499057 | |420.2748108 |0.193845332 |
|421.0144958 |1.626065612 | |421.0144958 |0.195526689 |
|421.7541504 |1.625648141 | |421.7541504 |0.197220564 |
|422.4937439 |1.625246763 | |422.4937439 |0.198926732 |
|423.2332458 |1.624861956 | |423.2332458 |0.200645506 |
|423.9726868 |1.624493957 | |423.9726868 |0.202376619 |
|424.7120667 |1.624142885 | |424.7120667 |0.204120174 |
|425.451355 |1.623809457 | |425.451355 |0.205876023 |
|426.1906128 |1.623493433 | |426.1906128 |0.207644284 |
|426.9297791 |1.623195648 | |426.9297791 |0.209424764 |
|427.6688843 |1.622916102 | |427.6688843 |0.211217493 |
|428.4078979 |1.622655153 | |428.4078979 |0.2130225 |
|429.1468811 |1.622413397 | |429.1468811 |0.214839563 |
|429.8857727 |1.622190714 | |429.8857727 |0.2166688 |
|430.6246033 |1.6219877 | |430.6246033 |0.218510076 |
|431.3633728 |1.621804833 | |431.3633728 |0.220363274 |
|432.1020813 |1.621642113 | |432.1020813 |0.222228304 |
|432.8406982 |1.621500134 | |432.8406982 |0.224105 |
|433.5792542 |1.621379256 | |433.5792542 |0.225993425 |
|434.317749 |1.621279716 | |434.317749 |0.227893457 |
|435.0561829 |1.621201754 | |435.0561829 |0.229804948 |
|435.7945557 |1.621146083 | |435.7945557 |0.231727585 |
|436.5328369 |1.621112704 | |436.5328369 |0.233661532 |
|437.2710571 |1.621102333 | |437.2710571 |0.235606402 |
|438.0092163 |1.621115208 | |438.0092163 |0.23756218 |
|438.7472839 |1.621151686 | |438.7472839 |0.239528596 |
|439.485321 |1.621211886 | |439.485321 |0.241505653 |
|440.2232666 |1.621296644 | |440.2232666 |0.243492961 |
|440.9611511 |1.621406078 | |440.9611511 |0.245490447 |
|441.6989746 |1.621540546 | |441.6989746 |0.247497872 |
|442.4367065 |1.621700644 | |442.4367065 |0.249515072 |
|443.174408 |1.621886373 | |443.174408 |0.251541704 |
|443.9120178 |1.622098684 | |443.9120178 |0.253577739 |
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|1017.771667 |1.769106746 | |1017.771667 |0.006924333 |
|1018.454529 |1.769012928 | |1018.454529 |0.006914582 |
|1019.137268 |1.76891923 | |1019.137268 |0.006904867 |
|1019.820007 |1.76882565 | |1019.820007 |0.006895188 |
|1020.502625 |1.768732429 | |1020.502625 |0.00688554 |
|1021.185181 |1.768639326 | |1021.185181 |0.006875928 |
|1021.867676 |1.7685467 | |1021.867676 |0.006866349 |
|1022.55011 |1.768454075 | |1022.55011 |0.006856805 |
|1023.232422 |1.768361688 | |1023.232422 |0.006847293 |
|1023.914734 |1.768269777 | |1023.914734 |0.006837816 |
|1024.596924 |1.768177867 | |1024.596924 |0.006828371 |
|1025.279053 |1.768086433 | |1025.279053 |0.00681896 |
|1025.961182 |1.767995119 | |1025.961182 |0.006809581 |
|1026.643188 |1.767903924 | |1026.643188 |0.006800235 |
|1027.325195 |1.767813206 | |1027.325195 |0.006790922 |
|1028.00708 |1.767722607 | |1028.00708 |0.006781642 |
|1028.688843 |1.767632246 | |1028.688843 |0.006772393 |
|1029.370605 |1.767542124 | |1029.370605 |0.006763177 |
|1030.052246 |1.767452359 | |1030.052246 |0.006753992 |
|1030.733887 |1.767362595 | |1030.733887 |0.00674484 |
|1031.415405 |1.767273307 | |1031.415405 |0.006735718 |
|1032.096924 |1.767184019 | |1032.096924 |0.006726629 |
|1032.77832 |1.767095089 | |1032.77832 |0.006717572 |
|1033.459717 |1.767006397 | |1033.459717 |0.006708544 |
|1034.140991 |1.766917944 | |1034.140991 |0.006699549 |
|1034.822144 |1.76682961 | |1034.822144 |0.006690583 |
|1035.503296 |1.766741753 | |1035.503296 |0.006681647 |
|1036.184326 |1.766654015 | |1036.184326 |0.006672745 |
|1036.865356 |1.766566277 | |1036.865356 |0.006663871 |
|1037.546265 |1.766478896 | |1037.546265 |0.006655027 |
|1038.227173 |1.766391873 | |1038.227173 |0.006646214 |
|1038.907959 |1.76630497 | |1038.907959 |0.006637431 |
|1039.588745 |1.766218305 | |1039.588745 |0.006628678 |
|1040.269409 |1.766131997 | |1040.269409 |0.006619953 |
|1040.949951 |1.76604569 | |1040.949951 |0.00661126 |
|1041.630493 |1.76595974 | |1041.630493 |0.006602594 |
|1042.310913 |1.765873909 | |1042.310913 |0.006593959 |
|1042.991333 |1.765788317 | |1042.991333 |0.006585352 |
|1043.671631 |1.765702963 | |1043.671631 |0.006576775 |
|1044.351929 |1.765617967 | |1044.351929 |0.006568226 |
|1045.032104 |1.76553297 | |1045.032104 |0.006559705 |
|1045.71228 |1.765448332 | |1045.71228 |0.006551213 |
|1046.392334 |1.765363812 | |1046.392334 |0.006542751 |
|1047.072266 |1.765279531 | |1047.072266 |0.006534315 |
|1047.752197 |1.765195608 | |1047.752197 |0.006525908 |
|1048.432007 |1.765111685 | |1048.432007 |0.006517529 |
|1049.111816 |1.765028 | |1049.111816 |0.006509178 |
|1049.791504 |1.764944673 | |1049.791504 |0.006500854 |
|1050.471191 |1.764861584 | |1050.471191 |0.006492559 |

After analyzing the data we have calculated the calculated the reflectance % and transmittance % for different wavelengths and plotted the graphs for reflectance % VS wavelength and transmittance % VS wave length.

[pic]

Plot1.Transmittance VS Wavelength

[pic]

Plot2.Reflectance VS Wavelength

From the data we also analysis the optical constants of calculated n and calculated k vales and will plot them.

[pic]

Plot3. Optical constants VS Wavelength

Discussion of Results

From the recorded data of transmittance and reflectance, we calculate the absorbance uing the formula 1-Transmittance-Reftectance. Using the data obtained for the absorbance we plot the graph for absorbance with respect to the wavelength.

[pic]

Plot4. Absorbance VS Wavelength

Conclusions

Finally, we calculated the absorbance data and plotted the graph. From this graph we can get the cut off wave length which is used to calculate the energy band gap.

Cut off wave length λ≈680nm.

Band Gap Energy (E) = h*C/λ h = Planks constant = 6.626 x 10-34 Joules sec
C = Speed of light = 3.0 x 108 meter/sec
1eV = 1.6 X 10-19 Joules

E= (6.626 x 10-34 x3.0 x 108)/680 x10-9

=1.818 eV

References

1] http://www.filmetrics.com

2] http://www.perkinelmer.com/

3] http://en.wikipedia.org/wiki/Direct_and_indirect_band_gaps

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