Lecture05

# Single particle pe each particle in solid or liquid

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Unformatted text preview: cle PE” Each particle in solid or liquid oscillates in 3-D about this equilibrium position Differences between solids and liquids? M. Chertok, Physics 7A 10 DLM09 3.1.4 Follow up of DLM08 FNTs: Relate particle spacing to “non-interaction” of ideal gas molecules. Use PE graph Two atoms and r=1.2σ. What is total energy if: a) atoms at rest, or, b) atoms have total KE 0.1ε Use total energy plus fact that KE≥0 to plot KE for atom-atom potential Plot Etot and KE for various Etot M. Chertok, Physics 7A 11 Kinetic Energy Pair-wise or Atom-Atom Potential (as modeled with the Lennard-Jones Potential) 1 0.8 Potential Energy (in units of well depth, &quot;) Pair-wise Potential (as modeled with the Lennard-Jones Potential) 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8 -1 -1.2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3 Etot = -0.25ε distance between centers of atoms, r (in units of particle diameter, ! ) How do we determine KE? 1. Plot PE 2. Draw horz. line for Etot 3. KE = Etot - PE 4. “Turning points” at KE=0 tion for noble gas atoms. However, all pair-wise s) have this general shape with these features. rmin and rmax?) (Finish on board. What are M. Chertok, Physics 7A 12 DLM09 3.1.4 Follow up of DLM08 FNTs: (continued) How do bound particles behave? Unbound? Numerical: how much energy need to break bond? Connect macroscopic and microscopic energy systems boiling water example M. Chertok, Physics 7A 13 DLM09, (ii) 3.1.5...
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