基于密度泛函理论的钾长石晶体结构及表面性质研究

Study on the Crystal Structure and Surface Properties of Potassium Feldspar Based on Density Functional Theory

  • 摘要: 为了深入研究钾长石的晶体结构与物理化学特性,基于密度泛函理论的计算方法,借助Materials Studio 8.0软件的CASTEP模块,确定了钾长石晶体结构计算的最佳k点取样密度、截断能及交换相关泛函,系统分析了钾长石的能带结构、态密度、Mulliken布居、表面能及差分电荷密度。结果表明,在靠近费米能级处,O元素的2p轨道对态密度贡献显著,其电子易于激发或参与成键,表明O是钾长石中最可能发生化学吸附的活性位点。Mulliken布居分析显示钾长石晶体中 Al、Si、K 为电子供体,O为电子受体;Si−O、Al−O 键共价性强且稳定,K−O 键离子性强且易断裂。表面能和差分电荷密度计算结果显示钾长石(001)晶面表面能最低,是其最可能暴露的解理面,且表面O原子活性位点存在Si−O和Al−O共价键中的O及K−O离子键断裂后的O原子三种形式。本研究从原子层面系统揭示了钾长石的晶体结构及其表面特性,为钾长石矿物浮选行为及药剂开发提供了理论依据。

     

    Abstract: For in−depth research on the crystal structure and physicochemical properties of potassium feldspar, based on the density functional theory calculation method and with the help of the CASTEP module in Materials Studio 8.0 software, the optimal K−point sampling density, cut−off energy and exchange−correlation functionals for the crystal structure calculation of potassium feldspar were determined. The band structure, density of states, Mulliken population, surface energy and differential charge density of potassium feldspar were systematically analyzed.The results demonstrate that near the Fermi level, the electronic density of states is predominantly contributed by the O 2p orbitals. This indicates a high propensity for electron excitation and participation in chemical bonding, identifying oxygen as the most probable active sites for chemisorption processes in potassium feldspar. Mulliken population analysis further elucidates the charge transfer within the crystal lattice, revealing that Al, Si, and K atoms act as electron donors, while O atoms function as electron acceptors.A detailed examination of chemical bonding shows that Si−O and Al−O bonds exhibit strong covalent character and high stability. In contrast, K−O bonds display pronounced ionic characteristics and relatively lower binding strength, making them more susceptible to dissociation. Furthermore, surface energy calculations for different surfaces and differential charge density analysis shows that the (001) surface possesses the lowest energy, indicating its propensity to be exposed as the predominant cleavage plane in natural samples under natural conditions. Moreover, there are three forms of active sites for surface O atoms, namely O atoms in the covalent bonds of Si−O and Al−O, and O atoms formed after the breakage of K−O ionic bonds.Overall, this study systematically unravels the electronic structure and surface properties of potassium feldspar at the atomic level, offering valuable theoretical insights that can guide the understanding of its flotation behavior and support the rational design of effective flotation reagents for mineral processing.

     

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