the dynamical theory of gases by James Jeans

By James Jeans

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The difference between the zero of energy and the zero-point vibrational energy in both cases represents the bond dissociation energies, respectively, of H,+ and H,. To obtain an accurate assessment of the interelectronic repulsion energy of the H, molecule it is essential to carry out calculations in which the hydrogen nuclei are a constant distance apart. The following calculations are for an internuclear distance of 74 prn for both molecules, which is the equilibrium internuclear distance in the dihydrogen molecule.

In practice, the ionic terms are given a lesser participation to arrive at a reasonable description of the bonding. The conclusion from this short discussion is that both valence bond and molecular orbital theories can describe the bonding of a system and Covalent Bonding I: the Dihydrogen Molecule-ion and the Dihydrogen Molecule 49 in the limit they both arrive at the same answer. In practice, molecular orbital theory is more often used and is much more amenable to giving solutions to more complex systems than does valence bond theory.

E. they are the ionic structures, H-H' and H+H-. The third and fourth terms indicate that each hydrogen atom is associated with one of the electrons, and are consistent with the definition of covalency. All four terms together indicate the equal sharing of the two electrons between the two nuclei, but very much overemphasize the ionic aspect of the bonding. In practice this overemphasis is dealt with by assigning coefficients to the four terms and evaluating them by the process of minimizing the total energy of the system.

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