Static hyperpolarisabilities and polarisabilities for Be: a fourth-order Moller-Plesset perturbation theory calculation

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Abstract
The dipole-dipole-quadrupole (B) and second dipole ( gamma ) hyperpolarisabilities as well as the dipole ( alpha 1) and quadrupole ( alpha 2) polarisabilities for the ground state of the beryllium atom are calculated. The results are based on fourth-order Moller-Plesset perturbation theory energies of Be in the presence of various configurations of point charges; the perturbation theory employs a self-consistent-field solution for Be in the presence of point charges as the zeroth-order wavefunction. The final estimates are alpha 1=(37.3+or-0.7) e2 a02 Eh-1, a2=(298.8+or-2.6) e2 alpha 04Eh-1, B=(2.14+or-0.12)*103 e3 a04Eh-2 and gamma =(3.19+or-0.12)*104 e4 a04Eh-3. Rough estimates of the leading coefficients in the multipole expansions of the collisional dipole moment, quadrupole moment and mean polarisability and its anisotropy are listed for the A-Be (A=Be, H, Li, He, Ne, Ar, Kr, Xe) van der Waals molecules.