The energy between a pair of atoms with respect to their distance r can be described by the Lennard-Jones potential: VLJ(r) = 4€ 12 [9²-9] 6 a) For € = 0.5 eV, and o= 0.2 nm, calculate the bond length [Hint: The math is much easier if you keep the units as eV and nm]. b) Show that the bond energy is equal to epsilon.

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The energy between a pair of atoms with respect to their distance r can be described
by the Lennard-Jones
potential:
VLJ(r) = 4ɛ
12
[9¹-9]
r
6
e
a) For € = 0.5 eV, and σ= 0.2 nm, calculate the bond length [Hint: The math is much
easier if you keep the units as eV and nm].
b) Show that the bond energy is equal to epsilon.
Transcribed Image Text:The energy between a pair of atoms with respect to their distance r can be described by the Lennard-Jones potential: VLJ(r) = 4ɛ 12 [9¹-9] r 6 e a) For € = 0.5 eV, and σ= 0.2 nm, calculate the bond length [Hint: The math is much easier if you keep the units as eV and nm]. b) Show that the bond energy is equal to epsilon.
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