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\ensuremath{\le}5) and ${\mathrm{He}}_{\mathit{n}}$ (n\ensuremath{\le}4) immersed in very intense magnetic fields (B\ensuremath{\approxeq}${10}^{8}$ 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.