Two complementary molecular energy decomposition schemes: the Mayer and Ziegler-Rauk methods in comparison

In the present paper we discuss and compare two different energy decomposition schemes: Mayer's Hartree-Fock energy decomposition into diatomic and monoatomic contributions [Chem. Phys. Lett. 382, 265 (2003)], and the Ziegler-Rauk dissociation energy decomposition [Inorg. Chem. 18, 1558 (1979)]. The Ziegler-Rauk scheme is based on a separation of a molecule into fragments, while Mayer's scheme can be used in the cases where a fragmentation of the system in clearly separable parts is not possible. In the Mayer scheme, the density of a free atom is deformed to give the one-atom Mulliken density that subsequently interacts to give rise to the diatomic interaction energy. We give a detailed analysis of the diatomic energy contributions in the Mayer scheme and a close look onto the one-atom Mulliken densities. The Mulliken density ρA has a single large maximum around the nuclear position of the atom A, but exhibits slightly negative values in the vicinity of neighboring atoms. The main connecting point between both analysis schemes is the electrostatic energy. Both decomposition schemes utilize the same electrostatic energy expression, but differ in how fragment densities are defined. In the Mayer scheme, the electrostatic component originates from the interaction of the Mulliken densities, while in the Ziegler-Rauk scheme, the undisturbed fragment densities interact. The values of the electrostatic energy resulting from the two schemes differ significantly but typically have the same order of magnitude. Both methods are useful and complementary since Mayer's decomposition focuses on the energy of the finally formed molecule, whereas the Ziegler-Rauk scheme describes the bond formation starting from undeformed fragment densities

Records of Myodopsylla wolffsohni wolffsohni (Rothschild, 1903) (Siphonaptera, Ischnopsyllidae) on Myotis nigricans Schinz, 1821 (Chiroptera, Vespertilionidae), from the State of Paraná, Southern Brazil

The flea, Myodopsylla wolffsohni wolffsohni (Rothschild, 1903), had been recorded for the first time in the State of Paraná in 1940, on the bat, Myotis levis (I. Geoffroy, 1824). Previously, this species of flea had only been recorded on Myotis nigricans, in the Amazonian region. This is the second record of M. w. wolffsohni on M. nigricans in Brazil, and the first in the State of Paraná. Although this flea has been found on undetermined Chiroptera in the State of Santa Catarina, the present record represents the meridional limit of geographic distribution for the infestation on M. nigricans.

On Rothschild-Stiglitz as competitive pooling

Dubey and Geanakoplos [2002] have developed a theory of competitive pooling, which incorporates adverse selection and signaling into general equilibrium. By recasting the Rothschild-Stiglitz model of insurance in this framework, they find that a separating equilibrium always exists and is unique.We prove that their uniqueness result is not a consequence of the framework, but rather of their definition of refined equilibria. When other types of perturbations are used, the model allows for many pooling allocations to be supported as such: in particular, this is the case for pooling allocations that Pareto dominate the separating equilibrium.

The aquatic habit and host plants of Paracles klagesi (Rothschild) (Lepidoptera, Erebidae, Arctiinae) in Brazil

The aquatic habit and host plants of Paracles klagesi (Rothschild) (Lepidoptera, Erebidae, Arctiinae) in Brazil. The aquatic caterpillar Paracles klagesi (Rothschild, 1910) was collected from the headwaters of a stream in an ecotone between Cerrado and Babaçu forest in northeastern Brazil. The single caterpillar found was observed feeding on the macrophyte Tonina fluviatilis Aubl. (Eriocaulaceae) and other aquatic plants of the family Nymphaeaceae present in the area, but also accepted as food Elodea canadensis Michx. (Hydrocharitaceae) and Cabomba sp. (Cabombaceae) under laboratory conditions.