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Analysis of the extended defects in 3C-SiC.pdf - Nelson Mandela ...

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93<br />

Table 7.5. The measured parameters with calculated variables used <strong>in</strong> obta<strong>in</strong><strong>in</strong>g Fig.<br />

7.20<br />

(Si/ni) 2<br />

ni Δθi Si (nm -2 ) 1/ni 2 (Si/ni) 2 (nm -2 )<br />

4 13 0.0044 0.063 1.22975E-06<br />

5 28 0.0096 0.040 3.65112E-06<br />

6 38 0.0130 0.028 4.66997E-06<br />

7 49 0.0167 0.020 5.70487E-06<br />

8 58 0.0198 0.016 6.11964E-06<br />

9 67 0.0229 0.012 6.45229E-06<br />

10 76 0.0259 0.010 6.72476E-06<br />

11 86 0.0293 0.008 7.11641E-06<br />

12 95 0.0324 0.007 7.29683E-06<br />

13 105 0.0358 0.006 7.59524E-06<br />

0.000008<br />

0.000007<br />

0.000006<br />

0.000005<br />

0.000004<br />

0.000003<br />

0.000002<br />

0.000001<br />

0<br />

y = -1.09E-04x + 7.94E-06<br />

R 2 = 9.93E-01<br />

0 0.01 0.02 0.03 0.04 0.05 0.06 0.07<br />

(1/ni) 2<br />

Fig. 7.20. The plotted values <strong>of</strong> Table 7.3 with <strong>the</strong> l<strong>in</strong>ear trend l<strong>in</strong>e used to determ<strong>in</strong>e<br />

<strong>the</strong> foil thickness and ext<strong>in</strong>ction distance<br />

Once aga<strong>in</strong> from <strong>the</strong> slope and y-<strong>in</strong>tercept <strong>of</strong> <strong>the</strong> l<strong>in</strong>ear trend l<strong>in</strong>e <strong>the</strong> ext<strong>in</strong>ction<br />

distance and foil thickness were obta<strong>in</strong>ed by tak<strong>in</strong>g <strong>the</strong> square roots <strong>of</strong> <strong>the</strong>ir <strong>in</strong>verses.<br />

The value obta<strong>in</strong>ed for <strong>the</strong> ext<strong>in</strong>ction distance is 96 nm and <strong>the</strong> foil thickness is 355<br />

nm.<br />

The foil thickness determ<strong>in</strong>ed is too th<strong>in</strong> for <strong>the</strong> dislocation l<strong>in</strong>e direction to be that <strong>of</strong><br />

a type s<strong>in</strong>ce <strong>the</strong> projected length <strong>of</strong> <strong>the</strong> dislocation is too long. The only option

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