Spin-state splittings, highest-occupied-molecular-orbital and lowest-unoccupied-molecular-orbital energies, and chemical hardness.

It is known that the exact density functional must give ground-state energies that are piecewise linear as a function of electron number. In this work we prove that this is also true for the lowest-energy excited states of different spin or spatial symmetry. This has three important consequences for chemical applications: the ground state of a molecule must correspond to the state with the maximum highest-occupied-molecular-orbital energy, minimum lowest-unoccupied-molecular-orbital energy, and maximum chemical hardness. The beryllium, carbon, and vanadium atoms, as well as the CH(2) and C(3)H(3) molecules are considered as illustrative examples. Our result also directly and rigorously connects the ionization potential and electron affinity to the stability of spin states.

Peptide interfacial biomaterials improve endothelial cell adhesion and spreading on synthetic polyglycolic acid materials.

Resorbable scaffolds such as polyglycolic acid (PGA) are employed in a number of clinical and tissue engineering applications owing to their desirable property of allowing remodeling to form native tissue over time. However, native PGA does not promote endothelial cell adhesion. Here we describe a novel treatment with hetero-bifunctional peptide linkers, termed "interfacial biomaterials" (IFBMs), which are used to alter the surface of PGA to provide appropriate biological cues. IFBMs couple an affinity peptide for the material with a biologically active peptide that promotes desired cellular responses. One such PGA affinity peptide was coupled to the integrin binding domain, Arg-Gly-Asp (RGD), to build a chemically synthesized bimodular 27 amino acid peptide that mediated interactions between PGA and integrin receptors on endothelial cells. Quartz crystal microbalance with dissipation monitoring (QCMD) was used to determine the association constant (K (A) 1 x 10(7) M(-1)) and surface thickness (~3.5 nm). Cell binding studies indicated that IFBM efficiently mediated adhesion, spreading, and cytoskeletal organization of endothelial cells on PGA in an integrin-dependent manner. We show that the IFBM peptide promotes a 200% increase in endothelial cell binding to PGA as well as 70-120% increase in cell spreading from 30 to 60 minutes after plating.