Structure of aqueous cesium metaborate solutions by X-ray scattering and DFT calculation

In the present work, precise radial distribution function (RDF) of cesium metaborate solutions with salt-water molar ratio of 1:25, 1:30 and 1:35 in large scattering vector range (3.91-214.26 nm−1) were obtained by X-ray scattering. Polyborate species were given using Newton iteration method with measured pH and literature equilibrium constants. In model calculation, structural parameters such as the coordination number, interatomic distance and Debye-Waller factor were given through model calculation. The B-O(H2O) distance was determined to be ∼0.37 nm with the hydration number of ∼7.8 for B(OH)4−. The Cs-B distance of the contact ions CsB(OH)40 was measured to be ∼0.46 nm with interaction number of ∼0.77. The interaction distances and coordination number for the first shell and the second shell of Cs-O(W) are ∼0.325 nm, ∼0.517 nm and ∼8.0, ∼11, respectively. Five low-energy configurations of [Cs(H2O)8]+ were given with DFT calculation, including the first and the second hydration shell, and the most stable eight-coordinated one is close to the model calculation. Furthermore, the effect of concentration is discussed in the X-ray scattering analysis part, showing that hydration degree changes with the concentration. For the coordination number and distance of Cs-O(H2O) and H-bonding decrease with the increasing concentration. The coordination number of Cs-O(H2O) keep stable, and the coordination distance changes from 3.25 nm to 3.30 nm. For H-bonding, which the coordination number varies from 2.20 to 2.24, and the coordination distance varies from 2.76 nm to 2.78 nm with the decreasing concentration.