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

Jane Eyre: una lectura para el verano y la película que nos espera a la vuelta del otoño.

Siguiendo con la costumbre de hablar del cine de literatura, hoy proponemos la novela Jane Eyre1, escrita por Charlotte Brönte en 1847, recomendada para jóvenes a partir de los catorce años, con madurez y formación lectora previa, y con una versión cinematográfica que se estrenará en España a finales del mes de septiembre. En tiempo vacacional es un privilegio contar con historias que nos ocupen las siestas de las calurosas y largas tardes de verano con tiempo para todo, nos metan en relatos que nos absorban, nos lleven a mundos distantes y nos permitan acercarnos a vidas muy atractivas, con historias de valentía y de superación que nos impulsen a ser mejores. Es el momento de disfrutar con novela que pueden quedar a medias en otros momentos del año con más obligaciones.

Friedman's Excess energy and the McMillan-Mayer theory of solutions:Thermodynamics

In his version of the theory of multicomponent systems, Friedman used the analogy which exists between the virial expansion for the osmotic pressure obtained from the McMillan-Mayer (MM) theory of solutions in the grand canonical ensemble and the virial expansion for the pressure of a real gas. For the calculation of the thermodynamic properties of the solution, Friedman proposed a definition for the"excess free energy" that is a reminder of the ancient idea for the"osmotic work". However, the precise meaning to be attached to his free energy is, within other reasons, not well defined because in osmotic equilibrium the solution is not a closed system and for a given process the total amount of solvent in the solution varies. In this paper, an analysis based on thermodynamics is presented in order to obtain the exact and precise definition for Friedman"s excess free energy and its use in the comparison with the experimental data.

Jane Eyre: del text a la pantalla : Un estudi comparatiu entre l'obra de Charlotte Brontë i l'adaptació cinematogràfica de Cary Fukunaga

Treball de fi de màster que estudia comparativament les relacions entre la novel·la "Jane Eyre" de Charlotte Brontë i l'adaptació cinematogràfica de la mateixa realitzada pel director Cary Fukunaga.

Jane Goodall

Hi ha qui els veu com una versió caricaturesca, o fins i tot grotesca, de la humanitat: uns éssers de moviments desmanegats que amb alguns dels seus comportaments envileixen els nostres aparentment sublims i altisonants propòsits vitals. Altres, en canvi, els perceben com uns germans que des de fa més de cinc milions d'anys segueixen un camí diferent però que, tanmateix, amb la seva mirada profunda apel·len als nostres orígens compartits: una font de coneixement sobre la nostra essència, uns éssers sensibles als quals cal entendre si els volem preservar, per dignitat, de l'extinció a la qual nosaltres mateixos els abocaríem de forma inconscient.

Biblioteques digitals, museus virtuals: ¿on rau la diferència?

Aquest article ofereix una visió general de les activitats en l'àrea dels museus virtuals i posa en consideració una sèrie de temes, en què s'han trobat paral·lelismes amb el camp de les biblioteques digitals.

Estudi del patró d'activitat diària dels ximpanzes del zoo de Barcelona mitjançant SPSS

Treball de recerca realitzat per un alumne d’ensenyament secundari i guardonat amb un Premi CIRIT per fomentar l'esperit científic del Jovent l’any 2008. Estudi del patró d’activitat diària i les interaccions socials d’un grup de ximpanzés (Pan troglodytes) en captivitat. A partir dels estudis realitzats per la doctora Jane Goodall, s’ha elaborat una comparativa entre les conductes a la vida salvatge i a la vida en captivitat dels ximpanzés. Per obtenir les dades s’ha emprat la metodologia observacional pròpia de l’etologia; les dades obtingudes s’han analitzat mitjançant el paquet estadístic SPSS. Les dades estudiades mostren en primer lloc que les conductes bàsiques dels ximpanzés en captivitat no difereixen tant de les conductes en llibertat si les condicions de captivitat són les adequades. En segon lloc, també s’observa que hi ha diferències individuals en la conducta de cada membre, les quals han estat detallades a l’estudi. Finalment es fa palès que empren més les àrees noves de la seva instal•lació.

El naturalismo científico en la obra de John Tyndall: Fragments of science

El análisis de los ensayos de John Tyndall, Fragments of Science, permite identificar la teoría atómica, el principio de conservación de la energía y el evolucionismo darwinista como los elementos constitutivos del andamiaje teórico del naturalismo científico. Así, en su ensayo “On the Study of Physics” se resumen sus brillantes facetas como educador y divulgador científico, desarrolladas fundamentalmente en el seno de la Royal Institution. En la lectura “On Force”, Tyndall da por finalizada la controversia Joule- Mayer sobre la primacía del descubrimiento del principio de conservación de la energía, a la vez que plantea algunas de las claves de la lucha por el liderazgo en el seno de la comunidad científica. El discurso presidencial ante la British Association de 1874 en Belfast ejemplifica el coraje de Tyndall en su empeño por demarcar los territorios de la ciencia y la religión, a la luz de los nuevos desafíos científicos. En el trasfondo subyacen los procesos de secularización de la sociedad y de profesionalización de una comunidad científica heterogénea. El compromiso cívico que Tyndall demuestra en “The Belfast Address” es digno corolario de una vida y obra que permite situarlo como paradigma de lo que, en la terminología de Turner, se ha dado en denominar científico público.

Proposing a 'Consent Commons' in open education - balancing the desire for openness with the rights of people to refuse or withdraw from participation

A new 'Consent Commons' licensing framework is proposed, complementing Creative Commons, to clarify the permissions given for using and reusing clinical and non-clinical digital recordings of people (patients and non-patients) for educational purposes. Consent Commons is a sophisticated expression of ethically based 'digital professionalism', which recognises the rights of patients, carers, their families, teachers, clinicians, students and members of the public to have some say in how their digital recordings are used (including refusing or withdrawing their consent), and is necessary in order to ensure the long term sustainability of teaching materials, including Open Educational Resources (OER). Consent Commons can ameliorate uncertainty about the status of educational resources depicting people, and protect institutions from legal risk by developing robust and sophisticated policies and promoting best practice in managing their information.

Open minded and open access: introducing NeoBiota, a new peer-reviewed journal of biological invasions

The Editorial presents the focus, scope, policies, and the inaugural issue of NeoBiota, a new open access peer-reviewed journal of biological invasions. The new journal NeoBiota is a continuation of the former NEOBIOTA publication series. The journal will deal with all aspects of invasion biology and impose no restrictions on manuscript size neither on use of color. NeoBiota implies an XML-based editorial workflow and several cutting-edge innovations in publishing and dissemination, such as semantic markup of and enhancements to published texts, data publication, and extensive cross-linking within the journal and to external sources

Effective atomic orbitals for fuzzy atoms

The method of extracting effective atomic orbitals and effective minimal basis sets from molecular wave function characterizing the state of an atom in a molecule is developed in the framework of the "fuzzy" atoms. In all cases studied, there were as many effective orbitals that have considerable occupation numbers as orbitals in the classical minimal basis. That is considered to be of high conceptual importance

Second-order Møller-Plesset perturbation theory without basis set superposition error : II : open-shell systems

The basis set superposition error-free second-order MØller-Plesset perturbation theory of intermolecular interactions was studied. The difficulties of the counterpoise (CP) correction in open-shell systems were also discussed. The calculations were performed by a program which was used for testing the new variants of the theory. It was shown that the CP correction for the diabatic surfaces should be preferred to the adiabatic ones

Energy partitioning for "fuzzy" atoms

The total energy of molecule in terms of 'fuzzy atoms' presented as sum of one- and two-atomic energy components is described. The divisions of three-dimensional physical space into atomic regions exhibit continuous transition from one to another. The energy components are on chemical energy scale according to proper definitions. The Becke's integration scheme and weight function determines realization of method which permits effective numerical integrations

Density functional energy decomposition into one- and two-atom contributions

The present work provides a generalization of Mayer's energy decomposition for the density-functional theory (DFT) case. It is shown that one- and two-atom Hartree-Fock energy components in Mayer's approach can be represented as an action of a one-atom potential VA on a one-atom density ρ A or ρ B. To treat the exchange-correlation term in the DFT energy expression in a similar way, the exchange-correlation energy density per electron is expanded into a linear combination of basis functions. Calculations carried out for a number of density functionals demonstrate that the DFT and Hartree-Fock two-atom energies agree to a reasonable extent with each other. The two-atom energies for strong covalent bonds are within the range of typical bond dissociation energies and are therefore a convenient computational tool for assessment of individual bond strength in polyatomic molecules. For nonspecific nonbonding interactions, the two-atom energies are low. They can be either repulsive or slightly attractive, but the DFT results more frequently yield small attractive values compared to the Hartree-Fock case. The hydrogen bond in the water dimer is calculated to be between the strong covalent and nonbonding interactions on the energy scale

One- and two-center physical space partitioning of the energy in the density functional theory

A conceptually new approach is introduced for the decomposition of the molecular energy calculated at the density functional theory level of theory into sum of one- and two-atomic energy components, and is realized in the "fuzzy atoms" framework. (Fuzzy atoms mean that the three-dimensional physical space is divided into atomic regions having no sharp boundaries but exhibiting a continuous transition from one to another.) The new scheme uses the new concept of "bond order density" to calculate the diatomic exchange energy components and gives them unexpectedly close to the values calculated by the exact (Hartree-Fock) exchange for the same Kohn-Sham orbitals