Probing Ion-Ion and Electron-Ion Correlations in Liquid Metals within the Quantum Hypernetted Chain Approximation

We use the Quantum Hypernetted Chain Approximation (QHNC) to calculate the ion-ion and electron-ion correlations for liquid metallic Li, Be, Na, Mg, Al, K, Ca, and Ga. We discuss trends in electron-ion structure factors and radial distribution functions, and also calculate the free-atom and metallic-atom form-factors, focusing on how bonding effects affect the interpretation of X-ray scattering experiments, especially experimental measurements of the ion-ion structure factor in the liquid metallic phase.Comment: RevTeX, 19 pages, 7 figure

Trends in the properties and structures of the simple metals from a universal local pseudopotential

The properties of simple metals are fixed primarily by the equilibrium average valence-electron density parameter rs, and secondarily by the valence z. The simplest level of theory that can account quantitatively for these trends invokes a “universal” local electron-ion pseudopotential, defined for each pair (rs,z) and treated as a second-order perturbation. We construct this pseudopotential from two conditions: (1) The total energy should minimize at the equilibrium Wigner-Seitz radius z1/3rs. (2) The bulk modulus should equal the realistic rs-dependent prediction of the stabilized jellium model with effective valence z*=1. These conditions can be satisfied by an analytic local pseudopotential depending upon two parameters other than z; we show that the choice of the two-parameter form (evanescent core vs Heine-Abarenkov) is not important. Our universal local pseudopotential is applied to calculate realistic bulk binding energies, pressure derivatives of bulk moduli, Voigt shear moduli, and interstitial electron numbers, revealing their trends as functions of rs and z. Equilibrium crystal structures are mapped in the rs-z plane, where the Hume-Rothery rules for substitutional alloys are manifest. The effect of pressure on crystal structure is also examine