Van der Waals interaction of ground state energy on ion molecular Hidrogen H₂⁺

Hydrogen molecular ions are formed from Hydrogen molecules (H₂) that lose one electron due to a particular process, such as ionization. H ₂ ⁺ is a ionic molecule and one of the interstellar molecules. When H₂ ⁺vibrates, inter-core interactions will occur. The interaction takes place from between the point dipole and the farthest proton. These interactions are called Van der Waals interactions. Van der Waals interaction is one of the interactions that occur in H ₂ ⁺, in addition to ionisation energy. The presence of van der Waals interactions on H ₂ ⁺ will produce a certain energy whose value is small. In previous research, it has been shown that Van der Waals interaction will decrease the energy value of solid and liquid structures. In this research, we calculate energy on ion molecular hidrogen H ₂ ⁺ as a second order perturbation theory. Using data from Herzberg, the n = 0 vibrational energy level with harmonic oscillator approximation was obtained corresponding to Born-Oppenheimer potential. Based on perturbation theory, the vibrational energy varies with the order ofR ⁻⁴ The simulations of vibrational wave functions both unperturbed and perturbed by van der Waals interaction show that difference between them is not significant. In particular, it is shown that the van der Waals interaction influence the shifting of the equilibrium point of H ₂ ⁺ which depends on the parameter and internuclear separation. Ground state energy on ion molecular Hidrogen H ₂ ⁺ in van der walls interaction is 0.087664 eV to 0.140693 eV (paper)