In general there is an infinite number of wavefunctions satisfying Schrödinger wave equation of quantum mechanics. These solutions are often matrices of complex quantities. These are matrices whose elements are represented by real, complex, or imaginary numbers. Whenever some of these wavefunctions satisfy the boundary conditions, e. g. within the vicinity nearer the nucleus using the reduced mass of both nucleus and electron and they are also finite and single-valued at every point, and the spatial derivatives are continuous then these so called allowed wavefunctions are called eigenfunctions or orbitals. Furthermore, there are two distinct classes of orbital: (1) atomic and (2) molecular orbital. More analyses have determined that combining two equal atomic orbitals forms two molecular orbitals of different energy. For example, diatomic deuterium gas molecules created by electrolysis of heavy water.


A diatomic deuterium gas molecule is composed of two deuterium atomic orbitals forming two molecular orbitals of different energy. The bonding molecular orbital of lower energy is occupied by the two valence electrons while the antibonding molecular orbital of higher energy is practically empty. This empty space-time location of higher energy is theorized to allow a single or multiple energy configurations of phonons. The occupied phonon must have the same energy equal to the specified energy of the empty molecular orbital. Consequently, if the deuterium is subsequently ionized by the complete removal of its valence electron then the result is a deuteron orbital of two different energy of phonons. Without more experimental verifications, it can only be guessed whether the deuterium gas molecule is truly diatomic or monoatomic. Fortunately, both molecular configurations whether mono or diatomic hold different states of phonon energy configurations. These emerging states of nuclear orbitals are needed for the onset of cold fusion that fuses two deuterons forming a nucleus of stable helium and releasing more useful energy in return.