Word Count : 422

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We are given the interaction energy between two atoms: \[ E(r) = -\frac{A}{r} + \frac{B}{r^7} \] where \( r \) is the inter-atomic separation, and \( A \) and \( B \) are constants. ### 1. To find the equilibrium distance \( r_e \), we need to minimize the total energy \( E(r) \). At equilibrium, the derivative of the potential energy \( E(r) \) with respect to \( r \) should be zero (since this corresponds to a minimum or maximum of the ______ ________ ____ _______ __________ _____ ____ __________ _______.
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