- Calculate The Force On The Atoms As A Function Of Separation 1 (227.34 KiB) Viewed 17 times
Calculate the force on the atoms as a function of separation
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Calculate the force on the atoms as a function of separation
Calculate the force on the atoms as a function of separation
7 The potential energy function of the pair of atoms shown in Figure I in a diatomic molecule might be written as U (r) = 4c [ (fr) ² - 2 / +)² ] whire p is the separation of the atoms at equilibrium and E a constant. r Figure atom atom 2 1) Calculate the force on the outoms as a function of separation, and confirm that the foree is equal to zero at r=p ii) By expanding the expression for the potential energy as a binomial series contred on the equilibrium point of atom & show that the subsequent oscillation of the atoms mimies simple hourmonie motion, its frequency given by wo √ m where i is the mass of each edom. Assume that the displacement of each atom during the oscillation is very much smaller than the interatomic spacing.. O O 1: 2-otom system with distance between the atom centres O
7 The potential energy function of the pair of atoms shown in Figure I in a diatomic molecule might be written as U (r) = 4c [ (fr) ² - 2 / +)² ] whire p is the separation of the atoms at equilibrium and E a constant. r Figure atom atom 2 1) Calculate the force on the outoms as a function of separation, and confirm that the foree is equal to zero at r=p ii) By expanding the expression for the potential energy as a binomial series contred on the equilibrium point of atom & show that the subsequent oscillation of the atoms mimies simple hourmonie motion, its frequency given by wo √ m where i is the mass of each edom. Assume that the displacement of each atom during the oscillation is very much smaller than the interatomic spacing.. O O 1: 2-otom system with distance between the atom centres O