본문내용
있다. 오차함수표를 이용하면,
0.521 - 0.500
=
- 0.5205
0.550 - 0.500
0.5633 - 0.5205
, 0.42
=
- 0.5205
0.5633 - 0.5205
= 0.538
erf 0.521 = 0.538
= 0.90 - (0.70)(0.538) = 0.52%
12.
= 1024atoms/m3 = ?m
= 0 atoms/m3 = 3h = 3h × 3600s/h = 1.08 × 104s
= 1022 atoms/m3 1100℃ = 7.0 × 10-17m2/s
1024 - 1022
=
erf
[
m
]
=
erf0.99
1024 - 0
2
0.99 0.9891
=
x 1.8
0.9928 0.9891
1.9 1.8
, x=1.824=
m
2
= 3.17 × 10-64m
13.
D = D0e-Q/RT
= (2.0 × 10-5m2/s)(e-14.23)
= (2.0 × 10-5m2/s)(0.661 × 10-6)
= 1.32 × 10-11m2/s
14.
D = D0e-Q/RT
= (7.7 × 10-5m2/s)(e-22.86)
= (7.7 × 10-5m2/s)(1.18 × 10-10)
= 9.086 × 10-15m2/s
15.
T1 = 500℃ + 273 = 773K, T2 = 1000℃ + 273 = 1273K, R = 8.314J/(molK)
D1000℃
=
exp(-Q/RT2)
D500℃
exp(-Q/RT1)
7.0 × 10-13
=
exp(-Q/8.314*1273)
1.0 × 10-17
exp(-Q/8.314*773)
Q = 183,000 J/mol = 183kJ/mol
0.521 - 0.500
=
- 0.5205
0.550 - 0.500
0.5633 - 0.5205
, 0.42
=
- 0.5205
0.5633 - 0.5205
= 0.538
erf 0.521 = 0.538
= 0.90 - (0.70)(0.538) = 0.52%
12.
= 1024atoms/m3 = ?m
= 0 atoms/m3 = 3h = 3h × 3600s/h = 1.08 × 104s
= 1022 atoms/m3 1100℃ = 7.0 × 10-17m2/s
1024 - 1022
=
erf
[
m
]
=
erf0.99
1024 - 0
2
0.99 0.9891
=
x 1.8
0.9928 0.9891
1.9 1.8
, x=1.824=
m
2
= 3.17 × 10-64m
13.
D = D0e-Q/RT
= (2.0 × 10-5m2/s)(e-14.23)
= (2.0 × 10-5m2/s)(0.661 × 10-6)
= 1.32 × 10-11m2/s
14.
D = D0e-Q/RT
= (7.7 × 10-5m2/s)(e-22.86)
= (7.7 × 10-5m2/s)(1.18 × 10-10)
= 9.086 × 10-15m2/s
15.
T1 = 500℃ + 273 = 773K, T2 = 1000℃ + 273 = 1273K, R = 8.314J/(molK)
D1000℃
=
exp(-Q/RT2)
D500℃
exp(-Q/RT1)
7.0 × 10-13
=
exp(-Q/8.314*1273)
1.0 × 10-17
exp(-Q/8.314*773)
Q = 183,000 J/mol = 183kJ/mol
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