Hartree-Fock study of molecules in very intense magnetic fields

We investigate the stability of homonuclear diatomic molecules from ${\mathrm{H}}_2$ up to ${\mathrm{C}}_2$ and of the finite chains ${\mathrm{H}}_{\mathit{n}}$ (n≤5) and ${\mathrm{He}}_{\mathit{n}}$ (n≤4) immersed in very intense magnetic fields (B≊${10}^8$ T). The atomic and molecular total energies are calculated within the one-dimensional Hartree-Fock approximation, using a Lagrange basis set associated with a Cartesian mesh. The stability of the molecules decreases beyond ${\mathrm{Li}}_2$ although all the studied molecules are found stable. The energy per atom of H and He finite chains stabilizes already for the small chain sizes that we have investigated.