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December 1, 1934Physical Review

On the Theory of Fusion

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Authors

KHKarl F. HerzfeldUniversity of North Carolina at Chapel HillMMMaria Goeppert MayerhVIVO (United Kingdom)

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Overview

Theoretical analysis uncovers a mechanical stability limit in solid argon, indicating that crystal collapse defines the melting point without superheating.

Key Points

  • Establish a theoretical foundation for crystal fusion using an exact equation of state for frozen argon to explain the absence of crystal superheating.
  • Formulated an exact equation of state for frozen argon as a model of a simple monatomic crystal.
  • Calculated isothermal pressure as a function of volume across temperatures to identify conditions of mechanical instability.
  • Applied the theoretical stability criteria to determine the pressure requirements for crystalline helium.
  • Isothermal curves of pressure versus volume exhibit a minimum that marks the mechanical collapse of the crystal lattice, with the zero-pressure minimum corresponding to the melting point.
  • Analysis correctly confirms that positive pressure is necessary for the stability of crystalline helium, though numerical agreement with experimental values is poor.

Cite This Study

Herzfeld et al. (1934) studied this question.

synapsesocial.com/papers/6a0f82d32badbc352afe45a1https://doi.org/10.1103/physrev.46.995
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Also Consider

Synapse has enriched one closely related paper. Consider it for comparative context:

  1. 1The Van Der Waals Forces in Gases1931 · 1,108 citations