Electron-electron interactions in the chemical bond: "1/3" Effect in the bond length of hydrogen molecule

The prominent "1/3 " effect observed in the Hall effect plateaus of two-dim ensional electron gas (2DEG) systems has been postulated to indicating 1/3 fractional charge quasiparticle excitations arising from electron-electron interactions. Tunneling shot-noise experiments on 2DEF exhibiting fractiona l quantum Hall effect (FQHE) shows evidence for tunnelling of particles wit h a and e/3 charges for a constant band mass. A "1/3 " effect in the hydrog en molecule is seen in as much as its internuclear distance, d(H-H) = D- D+, with \D+/D-\ = 1/3. This is examined in terms of electron-electron inte ractions involving electron- and hole quasiparticles, (e(-)) and (h(+)), eq uivalent to those observed in FQHE shot-noise experiments. The (elm) ratio of the (e(-)) and (h(+)) quasiparticles is kept at 1: -3. Instead of a 2DEG , these particles are treated as being in flat Bohr orbits. A treatment in the language of charge-flux tube composites for the hydrogen atom as well a s the hydrogen molecule is attempted. Such treatment gives important insigh t:, into changes in chemical potential and bond energy on crossing a phase boundary during the atom-bond transition as well as on models for FQHE itse lf.