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The derivations given in the preceding chapter employed the thermodynamics to introduce quantum mechanics relationships. This was based upon electron contributions to heat capacity. The end results were uncomplicated derivations of the thermoelectric properties of normal and transition elements. This background having been provided, the Mott and Jones theory, based solely upon quantum mechanics, is derived in this chapter. This results in a general equation which can be applied to both types of elements. The findings obtained from both models are compared and found to be in close agreement. The Mott and Jones theory, while based upon electrical conductivity, is used to show an interesting and useful relationship between ATP and heat capacity. Either model can be used to explain why most thermocouples in common use are made of transition elements or of alloys of transition elements.