Calculation of Franck-Condon factors including anharmonicity: simulation of the C2 H4+ X̃2B 3u←C2 H4X̃1 Ag band in the photoelectron spectrum of ethylene

Our new simple method for calculating accurate Franck-Condon factors including nondiagonal (i.e., mode-mode) anharmonic coupling is used to simulate the C2H4+X2B 3u←C2H4X̃1 Ag band in the photoelectron spectrum. An improved vibrational basis set truncation algorithm, which permits very efficient computations, is employed. Because the torsional mode is highly anharmonic it is separated from the other modes and treated exactly. All other modes are treated through the second-order perturbation theory. The perturbation-theory corrections are significant and lead to a good agreement with experiment, although the separability assumption for torsion causes the C2 D4 results to be not as good as those for C2 H4. A variational formulation to overcome this circumstance, and deal with large anharmonicities in general, is suggested

C-H···O H-bonded complexes: how does basis set superposition error change their potential-energy surfaces?

Geometries, vibrational frequencies, and interaction energies of the CNH⋯O3 and HCCH⋯O3 complexes are calculated in a counterpoise-corrected (CP-corrected) potential-energy surface (PES) that corrects for the basis set superposition error (BSSE). Ab initio calculations are performed at the Hartree-Fock (HF) and second-order Møller-Plesset (MP2) levels, using the 6-31G(d,p) and D95++(d,p) basis sets. Interaction energies are presented including corrections for zero-point vibrational energy (ZPVE) and thermal correction to enthalpy at 298 K. The CP-corrected and conventional PES are compared; the unconnected PES obtained using the larger basis set including diffuse functions exhibits a double well shape, whereas use of the 6-31G(d,p) basis set leads to a flat single-well profile. The CP-corrected PES has always a multiple-well shape. In particular, it is shown that the CP-corrected PES using the smaller basis set is qualitatively analogous to that obtained with the larger basis sets, so the CP method becomes useful to correctly describe large systems, where the use of small basis sets may be necessary

How does basis set superposition error change the potential surfaces for hydrogen-bonded dimers?

We describe a simple method to automate the geometric optimization of molecular orbital calculations of supermolecules on potential surfaces that are corrected for basis set superposition error using the counterpoise (CP) method. This method is applied to the H-bonding complexes HF/HCN, HF/H2O, and HCCH/H2O using the 6-31G(d,p) and D95 + + (d,p) basis sets at both the Hartree-Fock and second-order Møller-Plesset levels. We report the interaction energies, geometries, and vibrational frequencies of these complexes on the CP-optimized surfaces; and compare them with similar values calculated using traditional methods, including the (more traditional) single point CP correction. Upon optimization on the CP-corrected surface, the interaction energies become more negative (before vibrational corrections) and the H-bonding stretching vibrations decrease in all cases. The extent of the effects vary from extremely small to quite large depending on the complex and the calculational method. The relative magnitudes of the vibrational corrections cannot be predicted from the H-bond stretching frequencies alone

Variational calculation of vibrational linear and nonlinear optical properties

A variational approach for reliably calculating vibrational linear and nonlinear optical properties of molecules with large electrical and/or mechanical anharmonicity is introduced. This approach utilizes a self-consistent solution of the vibrational Schrödinger equation for the complete field-dependent potential-energy surface and, then, adds higher-level vibrational correlation corrections as desired. An initial application is made to static properties for three molecules of widely varying anharmonicity using the lowest-level vibrational correlation treatment (i.e., vibrational Møller-Plesset perturbation theory). Our results indicate when the conventional Bishop-Kirtman perturbation method can be expected to break down and when high-level vibrational correlation methods are likely to be required. Future improvements and extensions are discussed

L'obra filològica d'Antoni de Bastero i Lledó. Edició de la Història de la llengua catalana

S'estudia l'obra filològica d' Antoni de Bastero i Lledó (1675-1737), des d'una perspectiva de conjunt, per tal de concretar I'activitat d'aquest estudiós en els camps de la lingüística, la filologia o la crítica literària, i fer-ne una valoració adequada als coneixements actuals sobre I'exercici d'aquestes disciplines durant la primera meitat del segle XVIII. La tesi inclou un estudi biogràfic, absolutament necessari per establir moltes de les circumstancies vitals del canonge Bastero, que ens resultaven obscures i que són decisives per explicar el propi interès per la filologia, les relacions amb determinats cercles acadèmics, la datació aproximada dels diversos projectes iniciats, la interpretació correcta de la seva activitat. S'inclou, així mateix, un catàleg exhaustiu de tots els manuscrits conservats d'Antoni de Bastero i que tenen alguna relació amb el seu treball filològic. En total es tenen en compte 69 volums manuscrits, actualment escampats per diversos arxius i biblioteques de Barcelona i Girona, alguns dels quals eren fins ara desconeguts. D'aquests 69 volums, 48 contenen pròpiament obres de Bastero o altres materials publicables, i la resta són materials de treball. En conseqüència, l' obra filològica del canonge es pot concretar en: la producció d'una gramàtica italiana i d'una gramàtica francesa, en català, que va deixar inacabades; la realització de La Crusca provenzale, un magne diccionari etimològic i d'autoritats que recull una gran quantitat d'hipotètics provençalismes italians -només es va publicar el primer volum d'aquesta obra a Roma, l'any 1724, però n'he localitzat pràcticament tot el contingut; l'elaboració d'una extensa antologia de poesies trobadoresques, copiades amb gran rigor d'alguns còdexs de la Biblioteca Vaticana; el plantejament d'una Història de llengua catalana, que havia de ser una gran compilació dels mèrits i les excel·lències d'aquesta llengua -que l'autor identifica amb la provençal- i la seva literatura, i que es va poder desenvolupar nomes de forma parcial. Precisament, la part central de la tesi l'ocupa l'estudi particular i l'edició crítica de les parts redactades d'aquesta obra, que suposa la concreció de la particular percepció lingüística i literària que Bastero havia anat perfilant al llarg dels seus anys d'estudi. Es tracta d'una edició molt complexa, perquè l'obra ens ha arribat només en un esborrany, que presenta múltiples correccions i esmenes i evidencia diferents estadis redaccionals; els manuscrits inclouen, així mateix, nombrosos papers amb anotacions o fragments que, o no pertanyen al cos de l'obra, o bé s'han hagut de resituar en el lloc que els correspon. EI resultat és, tanmateix, un text prou coherent que comprèn quasi la totalitat del Llibre primer -sobre l'origen, el naixement i els diversos noms de la llengua, i sobre el nom de Catalunya- i un capítol del Llibre tercer -sobre la primitiva extensió del català per tot Espanya. EI més rellevant d'aquesta obra és el fet que s'hi basteix una original teoria sobre la formació de les diverses llengües romàniques que té el català com a eix central -proposa la identificació del català provençal amb la lingua romana dels documents alt medievals, en una operació que s'avança quasi cent anys a François Raynouard, que propugnava això mateix, referint-se nomes al provençal, amb un àmplia aprovació de la comunitat científica del seu temps. Destaquen també un excepcional rigor històric i documental, i una notable sensibilitat vers l'oralitat lingüística, que és objecte d'algunes anotacions ben interessants. Tanquen la tesi un seguit d'annexos documentals on es transcriuen diversos documents relacionats amb els aspectes tractats anteriorment.

A prática do interacionismo sociodiscursivo da língua portuguesa escrita : projeto de reescrita textual

A dificuldade na produção da língua portuguesa escrita e a constante desmotivação dos alunos para escrever tem sido a grande preocupação dos educadores. Seguimos como fundamentação teórica da língua portuguesa escrita o interacionismo sociodiscursivo na abordagem da teoria de Bronckart e Bakhtin, o gênero discursivo segundo Bakhtin e a teoria do Habitus na concepção de Bourdieu, na intenção de reconhecer na língua escrita a manifestação concreta da competência linguística dos textos escolares e dos contextos sociais. Nessa perspectiva pretendemos analisar a prática interacionista sociodiscursiva e cognitiva da língua portuguesa escrita a partir dos textos dos alunos do ensino médio, e da reescrita dos textos de acordo com as orientações realizadas pelo professor. Conhecer o interacionismo sociodiscursivo na prática, nas produções textuais escritas dos alunos, foi o grande desafio da pesquisa. A partir da parte empírica foi possível verificar que os textos reescritos apresentaram avanço em vários aspectos, já que alguns alunos conseguiram sobressair em quesitos esperados pelo professor, mas outros alunos permaneceram presos ao primeiro texto sem modificação na estrutura ou argumentação, limitando-se às correções gramaticais. Nenhum aluno ousou recorrer a numa nova argumentação, ou ainda a uma nova estratégia em defesa dos argumentos propostos. Percebese a necessidade de novos caminhos que direcionem o professor em suas correções textuais capazes de motivarem os alunos a refletirem e que permitam que os alunos recorram à interação com o professor para melhorarem de maneira consciente as suas produções textuais.

Série: processus expositionnel selon la muséologie sociale

Une fois le mandat établi, l’entente contractuelle conclue sur la base du plan de travail, une évaluation sommaire de l’espace attribué, de la construction, de la localisation, de même que de la vocation du musée, des sources primaires de documentation et d’information, des objets disponibles, enfin de la taille et de la durée du projet, les professsionnels engagés pour préparer l’étude de programmation muséale soumettent, pour consultation, le Plan directeur. Le scénario thématique, le parcours muséographique prévisible, de même que les services se rattachant à l’accueil, permettent, dès le stade initial de l’étude, d’informer le milieu sur le parti adopté, d’apporter les corrections nécessaires avant l’étude détaillée des éléments proposés dans le plan de travail. Ce premier concensus sur le “ projet muséal” permettra, au besoin, d’appeler la collaboration du milieu par des mandats de recherché précis, confiés à des membres de la communauté, de préparer celui-ci à la gestion future du musée et de ses expositions (Portée formative de la démarche). Le Plan directeur, s’il est clairement énoncé, bien fondé, constitue le guide infailllible du processus de construction du projet, associant muséologie (Récit, thématique) et muséographie (Communication visuelle, didactique). Le Plan directeur a le grand avantage de réaliser une économie de temps, de cadrer le projet d’un coup d’oeil, de permettre de passer rapidement, sur des bases sûres et concensuelles, au stade de l’exécution, d’ en mesurer au préalable les coûts et les difficultés à résoudre. Le professionnel de musée, duement formé, en est le maître d’oeuvre privilégié.

Avian mortalities due to transmission line collisions: a review of current estimates and field methods with an emphasis on applications to the Canadian electric network

Birds are vulnerable to collisions with human-made fixed structures. Despite ongoing development and increases in infrastructure, we have few estimates of the magnitude of collision mortality. We reviewed the existing literature on avian mortality associated with transmission lines and derived an initial estimate for Canada. Estimating mortality from collisions with power lines is challenging due to the lack of studies, especially from sites within Canada, and due to uncertainty about the magnitude of detection biases. Detection of bird collisions with transmission lines varies due to habitat type, species size, and scavenging rates. In addition, birds can be crippled by the impact and subsequently die, although crippling rates are poorly known and rarely incorporated into estimates. We used existing data to derive a range of estimates of avian mortality associated with collisions with transmission lines in Canada by incorporating detection, scavenging, and crippling biases. There are 231,966 km of transmission lines across Canada, mostly in the boreal forest. Mortality estimates ranged from 1 million to 229.5 million birds per year, depending on the bias corrections applied. We consider our most realistic estimate, taking into account variation in risk across Canada, to range from 2.5 million to 25.6 million birds killed per year. Data from multiple studies across Canada and the northern U.S. indicate that the most vulnerable bird groups are (1) waterfowl, (2) grebes, (3) shorebirds, and (4) cranes, which is consistent with other studies. Populations of several groups that are vulnerable to collisions are increasing across Canada (e.g., waterfowl, raptors), which suggests that collision mortality, at current levels, is not limiting population growth. However, there may be impacts on other declining species, such as shorebirds and some species at risk, including Alberta’s Trumpeter Swans (Cygnus buccinator) and western Canada’s endangered Whooping Cranes (Grus americana). Collisions may be more common during migration, which underscores the need to understand impacts across the annual cycle. We emphasize that these estimates are preliminary, especially considering the absence of Canadian studies.

Off-road sampling reveals a different grassland bird community than roadside sampling: implications for survey design and estimates to guide conservation

Grassland bird species continue to decline steeply across North America. Road-based surveys such as the North American Breeding Bird Survey (BBS) are often used to estimate trends and population sizes and to build species distribution models for grassland birds, although roadside survey counts may introduce bias in estimates because of differences in habitats along roadsides and in off-road surveys. We tested for differences in land cover composition and in the avian community on 21 roadside-based survey routes and in an equal number of adjacent off-road walking routes in the grasslands of southern Alberta, Canada. Off-road routes (n = 225 point counts) had more native grassland and short shrubs and less fallow land and road area than the roadside routes (n = 225 point counts). Consequently, 17 of the 39 bird species differed between the two route types in frequency of occurrence and relative abundance, measured using an indicator species analysis. Six species, including five obligate grassland species, were more prevalent at off-road sites; they included four species listed under the Canadian federal Species At Risk Act or listed by the Committee on the Status of Endangered Wildlife in Canada: Sprague’s Pipit (Anthus spragueii), Baird’s Sparrow (Ammodramus bairdii), the Chestnut-collared Longspur (Calcarius ornatus), and McCown’s Longspur (Rhynchophanes mccownii). The six species were as much as four times more abundant on off-road sites. Species more prevalent along roadside routes included common species and those typical of farmland and other human-modified habitats, e.g., the European Starling (Sturnus vulgaris), the Black-billed Magpie (Pica hudsonia), and the House Sparrow (Passer domesticus). Differences in avian community composition between roadside and off-road surveys suggest that the use of BBS data when generating population estimates or distribution models may overestimate certain common species and underestimate others of conservation concern. Our results highlight the need to develop appropriate corrections for bias in estimates derived from roadside sampling, and the need to design surveys that sample bird communities across a more representative cross-section of the landscape, both near and far from roads. 

Evaluation of the use of radiosonde humidity data to predict the occurrence of persistent contrails

Regular visual observations of persistent contrails over Reading, UK, have been used to evaluate radiosonde measurements of temperature and humidity defining cold ice-supersaturated atmospheric regions which are assumed to be a necessary condition for persistent condensation trails (contrails) to form. Results show a good correlation between observations and predictions using data from Larkhill, 63 km from Reading. A statistical analysis of this result and the forecasts using data from four additional UK radiosonde stations are presented. The horizontal extent of supersaturated layers could be inferred from this to be several hundred kilometres. The necessity of bias corrections to radiosonde humidity measurements is discussed and an analysis of measured ice-supersaturated atmospheric layers in the troposphere is presented. It is found that ice supersaturation is more likely to occur in winter than in summer, with frequencies of 17.3% and 9.4%, respectively, which is mostly due to the layers being thicker in winter than in summer. The most probable height for them to occur is about 10 km.

Voronoi, Delaunay, and Block-Structured Mesh Refinement for Solution of the Shallow-Water Equations on the Sphere

Alternative meshes of the sphere and adaptive mesh refinement could be immensely beneficial for weather and climate forecasts, but it is not clear how mesh refinement should be achieved. A finite-volume model that solves the shallow-water equations on any mesh of the surface of the sphere is presented. The accuracy and cost effectiveness of four quasi-uniform meshes of the sphere are compared: a cubed sphere, reduced latitude–longitude, hexagonal–icosahedral, and triangular–icosahedral. On some standard shallow-water tests, the hexagonal–icosahedral mesh performs best and the reduced latitude–longitude mesh performs well only when the flow is aligned with the mesh. The inclusion of a refined mesh over a disc-shaped region is achieved using either gradual Delaunay, gradual Voronoi, or abrupt 2:1 block-structured refinement. These refined regions can actually degrade global accuracy, presumably because of changes in wave dispersion where the mesh is highly nonuniform. However, using gradual refinement to resolve a mountain in an otherwise coarse mesh can improve accuracy for the same cost. The model prognostic variables are height and momentum collocated at cell centers, and (to remove grid-scale oscillations of the A grid) the mass flux between cells is advanced from the old momentum using the momentum equation. Quadratic and upwind biased cubic differencing methods are used as explicit corrections to a fast implicit solution that uses linear differencing.

Resistivity imaging survey of the Roman barrows at Bartlow, Cambridgeshire, UK

Resistivity imaging was carried out on four large Roman barrows at Bartlow in Cambridgeshire. The geophysical survey formed part of a wider research project designed to record and assess the landscape context of the largest surviving Roman burial mounds in Britain. The barrows today range in height from 6.6 m to 13.2 m and their steep profile loosed particular practical and modelling challenges. Data were obtained using a Campus Geopulse resistance meter with up to 50 electrodes spaced at 1 m intervals and lines up to 76 m long. A total of 24 lines was obtained. Topographic corrections were applied to the pseudosections, whichwere inverted using Res 2 Dinv and Res3 Dinv. Resistivity imaging was particularly successful in identifying evidence for the antiquarian explorations of the site. Central collapse features or in-filled tunnels image as high resistance features in all barrows and in one (Barrow IV) there is also a low resistance feature in the approximate position of a known antiquarian tunnel. Barrow VI had a thick covering of high-resistivity that may relate to nineteenth century landscaping and reconstruction of this monument. Resistivity imaging also revealed possible evidence for ancient revetments in all four large barrows. Copyright (c) 2006 John Wiley & Sons, Ltd.

Mersenne numbers

These notes have been issued on a small scale in 1983 and 1987 and on request at other times. This issue follows two items of news. First, WaIter Colquitt and Luther Welsh found the 'missed' Mersenne prime M110503 and advanced the frontier of complete Mp-testing to 139,267. In so doing, they terminated Slowinski's significant string of four consecutive Mersenne primes. Secondly, a team of five established a non-Mersenne number as the largest known prime. This result terminated the 1952-89 reign of Mersenne primes. All the original Mersenne numbers with p < 258 were factorised some time ago. The Sandia Laboratories team of Davis, Holdridge & Simmons with some little assistance from a CRAY machine cracked M211 in 1983 and M251 in 1984. They contributed their results to the 'Cunningham Project', care of Sam Wagstaff. That project is now moving apace thanks to developments in technology, factorisation and primality testing. New levels of computer power and new computer architectures motivated by the open-ended promise of parallelism are now available. Once again, the suppliers may be offering free buildings with the computer. However, the Sandia '84 CRAY-l implementation of the quadratic-sieve method is now outpowered by the number-field sieve technique. This is deployed on either purpose-built hardware or large syndicates, even distributed world-wide, of collaborating standard processors. New factorisation techniques of both special and general applicability have been defined and deployed. The elliptic-curve method finds large factors with helpful properties while the number-field sieve approach is breaking down composites with over one hundred digits. The material is updated on an occasional basis to follow the latest developments in primality-testing large Mp and factorising smaller Mp; all dates derive from the published literature or referenced private communications. Minor corrections, additions and changes merely advance the issue number after the decimal point. The reader is invited to report any errors and omissions that have escaped the proof-reading, to answer the unresolved questions noted and to suggest additional material associated with this subject.