Given a Fermi gas of density n, has been given using the classical map hyper-netted-chain ( CHNC) model of the electron fluid. Obviously, the density and pressure of the electron fluid will increase from small or zero values at large distances from the nucleus to a maximum at the. sus energy for various values of the di. where qs is the Thomas-Fermi screening constant given by qs.
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Pg.393 Density functional theory-based methods ultimately derive from quantum mechanics research from the 1920 s, especially the Thomas-Fermi-Dirac model, and from Slater s fundamental work in quantum chemistry in the 1950 s. When screening effect is included within a. This consequence is largely because electrons satisfy the Pauli exclusion principle: only one electron may occupy an energy level and lower-energy electron states are already full, so the new electrons must occupy higher and higher energy states. Z2 are the mass atomic number of the target atom, and is the Thomas-Fermi screening distance given by equation 4. As the number of electrons in the system increases (with fixed temperature and volume), the internal chemical potential increases. The internal chemical potential (closely related to Fermi level, see below) of a system of electrons describes how much energy is required to put an extra electron into the system, neglecting electrical potential energy.
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