Before revision: = Background For a wave function where are a linearly independent, orthogonal set of basis orbitals, the weight of a constituent orbital would be since the overlap integral, , between two wave functions would be 1 for and 0 for .
After revision: Background For a wave function where are a linearly independent, orthogonal set of basis orbitals, the weight of a constituent orbital would be since the overlap integral, , between two wave functions would be 1 for and 0 for .