The metallic thread in a patchwork thesis

Abstract

Niobium mono-and dications were created and reacted with CO and CO 2 in a flowing afterglow instrument and points on the potential energy surfaces for the reactions were calculated using Density Functional Theory (DFT), Multi-Configurational Self-Consistant Field (MCSCF) and Multi-Reference Perturbation Theory (MRPT2). Nb mono and dications react with CO in clustering reactions. Only the mono cluster of Nb +-CO was observed for monocations, but higher order clusters, Nb(CO) ! !! , were observed for dications. DFT calculations indicate that higher order complexes are favorable for both mono and dications. Reactions with CO 2 activate the CO bond to form the metal oxide and carbon monoxide with monocations activating the CO bond more efficiently. Charge transfer reactions were not observed for Nb 2+ reactions with CO 2. DFT and MRPT2 calculations indicate that the difference in observed reaction efficiency between the mono and dications is due to the barrier height for a spin crossing and the exothermicity of the mono and dication products.

Unity of superstring dualities

“…, N and t I mn = −t I nm are the matrices generating the vector representation of SO(N). The Y mn appear in a global supersymmetry algebra as central charges [34,8,9,35] and this allows a derivation of a Bogomolnyi bound. The anti-symmetric complex N ×N matrix Y mn has N/2 complex skew eigen-values λ a , a = 1, .…”

“…. , N/2 and the bound on the ADM mass of the Maxwell-Einstein theory [8] can be generalized to [35] If the moduli of all the eigenvalues are equal, |λ a1 | = |λ a2 | = . .…”

“…Consider first the a = 0, electric and magnetic extreme RN black holes. Given any one such black hole with integral charge, an infinite number can be generated by acting with G(Z), and these will include black holes carrying each of the 56 types of charge [35], and this is already sufficient to show that the continuous duality group E 7 (7) is broken to a discrete subgroup. so only these extreme black holes can be solutions of N = 8 supergravity that break half the supersymmetry.…”