The Lennard-Jones potential is a mathematical model used to describe the interaction between a pair of neutral atoms or molecules. It is characterized by a formula that includes a repulsive term, which accounts for the forces at short distances, and an attractive term, which represents van der Waals forces at longer distances. The potential is typically expressed as ( V(r) = 4\epsilon \left[ \left( \frac{\sigma}{r} \right)^{12} - \left( \frac{\sigma}{r} \right)^{6} \right] ), where ( \epsilon ) defines the depth of the potential well, ( \sigma ) is the finite distance at which the potential is zero, and ( r ) is the distance between the particles. It is widely used in molecular dynamics simulations and in the field of physical chemistry to model molecular interactions.
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John Lennard-Jones was born in 1894.
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The Lennard-Jones potential is expressed as ( V(r) = 4\epsilon \left[ \left( \frac{\sigma}{r} \right)^{12} - \left( \frac{\sigma}{r} \right)^{6} \right] ), where ( r ) is the interatomic distance, ( \epsilon ) is the depth of the potential well, and ( \sigma ) is the distance at which the potential is zero. To find the equilibrium interatomic distance, we take the derivative of ( V(r) ) with respect to ( r ) and set it to zero: ( \frac{dV}{dr} = 0 ). This leads to the condition ( r = 2^{1/6}\sigma ) for the minimum potential energy, indicating the distance at which atoms experience a balance between attractive and repulsive forces.
Bill Lennard's birth name is William Henry Lennard.
Philip Lennard's birth name is Philip Craig Lennard.
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Samson Lennard died in 1633.
John Lennard was born in 1964.