Exploration of Free Energy Surface and Thermal Effects on Relative Population and Infrared Spectrum of the Be₆B₁₁⁻ Flux-Ional Cluster

• Main Authors: Carlos Emilano Buelna-Garcia, José Luis Cabellos, Jesus Manuel Quiroz-Castillo, Gerardo Martinez-Guajardo, Cesar Castillo-Quevedo, Aned de-Leon-Flores, Gilberto Anzueto-Sanchez, Martha Fabiola Martin-del-Campo-Solis
• Format: Article
• Language: English
• Published: MDPI AG 2021-12-01
• Series: Materials
• Subjects: global minimum; infrared spectrum; boron cluster; fluxional; density functional theory; temperature
• Online Access: https://www.mdpi.com/1996-1944/14/1/112

The starting point to understanding cluster properties is the putative global minimum and all the nearby local energy minima; however, locating them is computationally expensive and difficult. The relative populations and spectroscopic properties that are a function of temperature can be approximately computed by employing statistical thermodynamics. Here, we investigate entropy-driven isomers distribution on Be₆B₁₁⁻ clusters and the effect of temperature on their infrared spectroscopy and relative populations. We identify the vibration modes possessed by the cluster that significantly contribute to the zero-point energy. A couple of steps are considered for computing the temperature-dependent relative population: First, using a genetic algorithm coupled to density functional theory, we performed an extensive and systematic exploration of the potential/free energy surface of Be₆B₁₁⁻ clusters to locate the putative global minimum and elucidate the low-energy structures. Second, the relative populations’ temperature effects are determined by considering the thermodynamic properties and Boltzmann factors. The temperature-dependent relative populations show that the entropies and temperature are essential for determining the global minimum. We compute the temperature-dependent total infrared spectra employing the Boltzmann factor weighted sums of each isomer’s infrared spectrum and find that at finite temperature, the total infrared spectrum is composed of an admixture of infrared spectra that corresponds to the spectra of the lowest-energy structure and its isomers located at higher energies. The methodology and results describe the thermal effects in the relative population and the infrared spectra.