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      "statement": "# Fermi: exclusion-based statistics of an ideal gas\n\nFermi imposed at most one particle per specified quantum state in an ideal monoatomic gas. Counting occupations in a harmonic confinement model produced a statistical distribution and low-temperature changes in pressure and specific heat.\n\nClassical gas laws leave the low-temperature entropy and heat capacity unresolved. Limiting state occupation changes the counting: low-energy levels fill, so additional particles must occupy higher states. This creates degeneracy effects while recovering classical behavior at high temperature. The contribution extends exclusion-based reasoning to gas thermodynamics, distinct from Fermi's later beta-decay and cosmic-ray work.\n\n## Scientific scope\n\nThe 1926 note states principles and results, reserving mathematical details for a later work. It assumes an ideal gas and the exclusion hypothesis; it is not an experimental validation or a model of every interacting gas. The inspected English translation dates from 1999.\n\n## People and systems\n\nEnrico Fermi\n\n\n\n## Original sources\n\n- [Enrico Fermi (1926), On the Quantization of the Monoatomic Ideal Gas; English translation by Alberto Zannoni (1999)](https://arxiv.org/abs/cond-mat/9912229)\n",
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