Lennard-Jones-Potential
U
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J
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4
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12
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6
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U
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r
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4
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σ
[
12
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r
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13
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6
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r
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7
]
\begin{aligned} U_\mathrm{LJ}(r) & = 4\epsilon \left[ \left( \frac{\sigma}{r} \right)^{12} - \left( \frac{\sigma}{r} \right)^{6} \right] \\ F_\mathrm{LJ}(r) = -\frac{\mathrm{d} U(r)}{\mathrm{d}r} & = \frac{4\epsilon}{\sigma} \left[ 12 \left( \frac{\sigma}{r} \right)^{13} - 6 \left( \frac{\sigma}{r} \right)^{7} \right] \\ \end{aligned}
U
LJ
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LJ
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d
r
d
U
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4
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12
−
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6
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=
σ
4
ϵ
[
12
(
r
σ
)
13
−
6
(
r
σ
)
7
]
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σ
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1
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\epsilon
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F
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F(r)
F
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