Abstract
The solution of Schroedinger's equation for the normal hydrogen molecule is approximated by the function where , and are the distances of one of the electrons to the two nuclei, and and those for the other electron. The value of is so determined as to give a minimum value to the variational integral which generates Schroedinger's wave equation. This minimum value of the integral gives the approximate energy . For every nuclear separation , there is a which gives the best approximation and a corresponding . We thus obtain an approximate energy curve as a function of the separation. The minimum of this curve gives the following data for the configuration corresponding to the normal hydrogen molecule: the heat of dissociation = 3.76 volts, the moment of inertia gr. , the nuclear vibrational frequency .
- Received 12 December 1927
DOI:https://doi.org/10.1103/PhysRev.31.579
©1928 American Physical Society