Next: Hamiltonian for Up: Molecules Previous: Breakdown of the Born-Oppenheimer Contents Index

The Hydrogen Molecule Ion $\bgroup\color{col1}$ H_2^+$\egroup$

The hydrogen molecule is an example of an diatomic molecule. These contain two nuclei of charge $\bgroup\color{col1}$ Z_1e$\egroup$ and $\bgroup\color{col1}$ Z_2e$\egroup$ ; they are called homonuclear for two identical nuclei ( $\bgroup\color{col1}$ Z_1=Z_2$\egroup$ ) and heteronuclear ( $\bgroup\color{col1}$ Z_1\ne Z_2$\egroup$ ) otherwise. For diatomic molecules the Born-Oppenheimer approximation can be reliably justified (CHECK).

Subsections

Hamiltonian for $\bgroup\color{col1}$ H_2^+$\egroup$
The Rayleigh-Ritz Variational Method
Bonding and Antibonding

Tobias Brandes 2005-04-26