A finite basis set particularly adapted for solving the Hartree-Fock equation for diatomic molecules in prolate spheroidal coordinates has been constructed. These basis functions have been devised as products of B-splines times associated Legendre polynomials. Due to the large number of B-splines, the resulting set of eigenfunctions is amply distributed over excited states. This gives the possi...

In this work we investigate the possibility to create cold Fr2, RbFr, and CsFr molecules through photoassociation of cold atoms. Potential curves, permanent and transition dipole moments for the Francium dimer and for the RbFr and RbCs molecules are determined for the first time. The Francium atom is modelled as a one valence electron moving in the field of the Fr core, which is described by a ...

The low-energy capture of a dipolar diatomic molecule in an adiabatically isolated electronic state with a good quantum number Omega (Hund's coupling case a) by an ion occurs adiabatically with respect to rotational transitions of the diatom. However, the capture dynamics may be nonadiabatic with respect to transitions between the pair of the Lambda-doubling states belonging to the same value o...

The Stark effect in molecular Rydberg states is qualitatively different from the Stark effect in atomic Rydberg states because of the anisotropy of the ion core and the existence of rotational and vibrational degrees of freedom. These uniquely molecular features cause the electric-field-induced decoupling of the Rydberg electron from the body frame to proceed in several stages in a molecule. Be...

We present the DMTDHF package, which investigates the non-perturbative electronic dynamics of diatomic molecules subjected to strong external laser fields by the fully propagated time-dependent Hartree–Fock theory. The package uses the prolate spheroidal coordinates, together with the finiteelement method and discrete-variable representation, while short iterative Lanczos algorithm is employed ...

We have studied the ζ-phase of solid oxygen using the generalized gradient approximation in the density functional approach. Calculations of total energies and pressures have been carried out for the prototype of diatomic ζ-phase and other hypothetical monoatomic crystal structures. The diatomic phase was found to be stable over a wide range of pressure (100-2000 GPa). The stacking of molecular...

Using angular-momentum-projected mean-field theory, we develop 1/N expansion solutions for the vibron model of diatomic molecules. Analytic expressions of spectroscopic accuracy are derived for rotationalvibrational energy levels and for the intensities of transitions among them. The results are used in a systematic study of diatomic molecules in the vibron model with a view to finding appropri...

We present a method to calculate Lyapunov exponents of rigid diatomic molecules in three dimensions ( 12N -dimensional phase space). The spectra of Lyapunov exponents are obtained for 32 rigid diatomic molecules interacting through the Weeks-Chandler-Anderson potential for various bond length and densities, and compared with those of Shin [Phys. Rev. E 64, 041106 (2001)]. Our algorithm is easy ...