XT-2

The family of two-dimensional transition metal carbides and nitrides, known as MXenes, has attracted substantial attention in science and technology. We obtain a parameterized minimal tight-binding model to provide an accurate description of both valence and conduction bands of a class of MXene monolayers named M2XT2 (with M = Sc, Zr, Ti; X = C; T = O, F) based on the band structures obtained within the framework of density functional theory. It is shown that the next nearest-neighbor 13-band p3d5 model is fairly sufficient to describe the electronic structure of these systems over a wide energy range. The obtained hopping and Slater-Koster parameters can be used to study the physical properties of MXene-based materials and nanostructures in the framework of the tight-binding model.

Methods from Jahn-Teller theory and invariant theory have been combined for the construction of analytic diabatic potential-energy surfaces of triply degenerate states in tetrahedral molecules. The potentials of a threefold degenerate electronic state of T(2) symmetry, subject to the T(2)xt(2) or T(2)x(t(2)+t(2)) Jahn-Teller effect in a three-dimensional or six-dimensional space of nuclear coordinates, respectively, are considered. The permutation symmetry of four identical nuclei is taken into account in the polynomial expansion of the diabatic surfaces. Symmetry adapted polynomials up to high orders are explicitly given and a simple combinatorial scheme was developed to express terms of arbitrary order as products of a small number of polynomials which are invariant under the permutation of identical nuclei. The method is applied to the methane cation in its triply degenerate ground state. The parameters of the analytic surfaces have been fitted to accurate ab initio data calculated at the full-valence CASSCF/MRCI/cc-pVTZ level. A three-sheeted six-dimensional analytic potential-energy surface of the (2)T(2) ground state of CH(4) (+) is reported, which involves terms up to eighth order in the degenerate stretching coordinate, up to 12th order in the degenerate bending coordinate, and up to fourth order in the stretch-bend coupling.

Lanthanide ions, Ln(III), are of interest in the treatment of bone density disorders because they are found to accumulate preferentially in bone (in vivo), have a stimulatory effect on bone formation, and exhibit an inhibitory effect on bone degradation (in vitro), altering the homeostasis of the bone cycle. In an effort to develop an orally active lanthanide drug, a series of 3-hydroxy-4-pyridinone ligands were synthesized and eight of these ligands (H1 = 3-hydroxy-2-methyl-1-(2-hydroxyethyl)-4-pyridinone, H2 = 3-hydroxy-2-methyl-1-(3-hydroxypropyl)-4-pyridinone, H3 = 3-hydroxy-2-methyl-1-(4-hydroxybutyl)-4-pyridinone, H4 = 3-hydroxy-2-methyl-1-(2-hydroxypropyl)-4-pyridinone, H5 = 3-hydroxy-2-methyl-1-(1-hydroxy-3-methylbutan-2-yl)-4-pyridinone, H6 = 3-hydroxy-2-methyl-1-(1-hydroxybutan-2-yl)-4-pyridinone, H7 = 1-carboxymethyl-3-hydroxy-2-methyl-4-pyridinone, H8 = 1-carboxyethyl-3-hydroxy-2-methyl-4-pyridinone) were coordinated to Ln(3+) (Ln = La, Eu, Gd, Lu) forming stable tris-ligand complexes (LnL(3), L = 1(-), 2(-), 3(-), 4(-), 5(-), 6(-), 7(-) and 8(-)). The dissociation (pK(an)) and metal ligand stability constants (log β(n)) of the 3-hydroxy-4-pyridinones with La(3+) and Gd(3+) were determined by potentiometric titrations, which demonstrated that the 3-hydroxy-4-pyridinones form stable tris-ligand complexes with the lanthanide ions. One phosphinate-EDTA derivative (H(5)XT = bis[[bis(carboxymethyl)amino]methyl]phosphinate) was also synthesized and coordinated to Ln(3+) (Ln = La, Eu, Lu), forming the potassium salt of [Ln(XT)](2-). Cytotoxicity assays were carried out in MG-63 cells; all the ligands and metal complexes tested were observed to be non-toxic to this cell line. Studies to investigate the toxicity, cellular uptake and apparent permeability (P(app)) of the lanthanide ions were conducted in Caco-2 cells where it was observed that [La(XT)](2-) had the greatest cell uptake. Binding affinities of free lanthanide ions (Ln = La, Gd and Lu), metal complexes and free 3-hydroxy-4-pyridinones with the bone mineral hydroxyapatite (HAP) are high, as well as moderate to strong for the free ligand with the bone mineral depending on the functional group.