Abstract
The partition function of translation in a cubical box of very small volume has been studied. Decreasing dimensions of the cube have been found to cause gradually larger deviations from the conventionally used partition function. This is manifested in the corresponding values of thermodynamic quantities. Special attention was paid to the molar internal energy of translation, and marked differences from the conventional term of 3 RT/2 were observed for very small dimensions of the cube, this energy term being increased without limitation in the limiting case. These results were applied to the hydrogen isotopes occluded in elementary cubic cells of Pd. The results are interpreted as a possible auxiliary contribution to the overall mechanism of the low-temperature nuclear fusion presumed to take place in a Pd electrode fed with deuterium.
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