Precise Coupling Terms in Adiabatic Quantum Evolution

It is known that for multi-level time-dependent quantum systems one can construct superadiabatic representations in which the coupling between separated levels is exponentially small in the adiabatic limit. For a family of two-state systems with real-symmetric Hamiltonian we construct such a superadiabatic representation and explicitly determine the asymptotic behavior of the exponentially small coupling term. First order perturbation theory in the superadiabatic representation then allows us to describe the time-development of exponentially small adiabatic transitions. The latter result rigorously confirms the predictions of Sir Michael Berry for our family of Hamiltonians and slightly generalizes a recent mathematical result of George Hagedorn and Alain Joye.submitted 29/06/04, accepted 14/08/04     

Evaluation of Carboxen carbon molecular sieves for trapping replacement chlorofluorocarbons

A method has been developed for trapping and preconcentrating the very volatile replacement chlorofluorocarbons (hydrofluorocarbons and hydrochlorofluorocarbons) using microtraps filled with Carboxen, a carbon molecular sieve type material, without the need for extensive cryotrapping using liquid nitrogen. We present here the adsorption characteristics of four Carboxen materials, Carboxen 569, 1000, 1001, and 1002, used to trap a range of replacement chlorofluorocarbons varying in boiling point from −48.4 to −9.8°C. The application of these traps for the automated analysis of trace gases in atmospheric and environmental chemistry could prove extremely useful.     

Über Perrhenate. 1. Zur Kenntnis von LiReO4

About Perrhenates. 1. On LiReO₄ For the very first time anhydrous LiReO₄ was prepared in transparent, colourless single crystals from Li₂O₂ and Re₂O₇ (closed Au-pipe; 350°C; 14 d). The crystal structure, P1 , with a = 9.652(1), b = 8.455(1), c = 6.928(1) Å, α = 101,53° (1), β = 106.55° (1), γ = 97.22° (1), Z = 6, d_x = 4.92 g/cm³, d_pyk = 4,81 g/cm³ was solved (four-circle-diffractometer data PW 1100, 2151 I₀ (hkl), AgKα; R = 0.073, R_w = 0.076). There are three kinds of functionally different Li⁺. The Madelung Part of the Lattice Energy, MAPLE, was calculated.