| Abstract: | We study here the binding of atoms and molecules and the stability of general molecular systems including molecular ions. This is the first paper of a series devoted to the study of these general problems. We obtain here a general necessary and sufficient condition for the stability of general molecular ststem in the context of thomasz-Fermi-Von Weiasäcker, Thomas-Fermi-Dirac-Von Weizsaäcker, Hartree or Hartree-Fock theories SUMARY OF PART 1 1.Introduction. II.Presentation of the models III.Diatomic molecular systems and hartree-Fock theory IV.Diatomic molecular systems and Hartree or Thomas-Fermi theories V.General molecular systems Appendix 1: Hartree-Fock models when Z > N ― 1 Appendix 2: Dichotomy yields equal Lagrange multipliers Appendix 3: The problem at infinty for the TRDW model |
