Chapter 2.4

Chapter 2.4 - Bonding Energies and Forces Potential Energy...

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13 MSE 2090: Introduction to Materials Science Chapter 2, Bonding Bonding Energies and Forces repulsion equilibrium attraction This is typical potential well for two interacting atoms The repulsion between atoms, when they are brought close to each other, is related to the Pauli principle: when the electronic clouds surrounding the atoms starts to overlap, the energy of the system increases abruptly. The origin of the attractive part, dominating at large distances, depends on the particular type of bonding. Potential Energy, U 0 Interatomic distance r r
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14 MSE 2090: Introduction to Materials Science Chapter 2, Bonding Bonding Energies and Forces Forces can be calculated from the potential energy of interatomic interaction. For example, for a system of two atoms (e.g. a diatomic molecule), the potential depends only on the distance between the two atoms U( r 12 ) Distance between atoms, r ij Energy, eV, Force, eV/Å 2 4 6 8 -0.01 -0.005 0 0.005 12 12 2 1 dr ) dU(r - F F = = r r 2 1 12 r r r r r = 1 2 1 F r 2 F r Force F 2 Energy U repulsion attraction
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This note was uploaded on 02/14/2012 for the course MSE 2090 taught by Professor Leoindzhiglei during the Fall '10 term at UVA.

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Chapter 2.4 - Bonding Energies and Forces Potential Energy...

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