Assume you have magnetic molecules on the distinguishable corners of a cube. The magnetic moment of each molecule can either point up or down (but not sideways). Sketch the system (i.e., a cube with molecules at each corner). Under a certain magnetic field, the energy of the system is 20 meV times the absolute value of the difference between the number of the down pointing and up-pointing magnets molecules. [Ei=20meV*|Niup-Nidown|] Make a table of the energetic states of the system and their degeneracy. Write the canonical partition function of the system. Plot its internal energy as a function of temperature in the regime near the ‘characteristic’ temperature of this system.
Assume you have magnetic molecules on the distinguishable corners of a cube. The magnetic moment of...
Consider a system of N independent classical molecules, each at a fixed position, with magnetic moment μ in an external magnetic field B . Determine the partition function, and hence find the free energy and the magnetization at temperature T, when the molecules can only be oriented parallel or antiparallel to the external magnetic field.
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