POLAR ACTIONS ON CERTAIN PRINCIPAL BUNDLES OVER SYMMETRIC SPACES OF COMPACT TYPE

We study polar actions with horizontal sections on the total space of certain principal bundles G/K -> G/H with base a symmetric space of compact type. We classify such actions up to orbit equivalence in many cases. In particular, we exhibit examples of hyperpolar actions with cohomogeneity greater than one on locally irreducible homogeneous spaces with nonnegative curvature which are not homeomorphic to symmetric spaces.

Metastable BrO(2+) and NBr(2+) molecules in the gas phase

The doubly positively charged gas-phase molecules BrO(2+) and NBr(2+) have been produced by prolonged high-current energetic oxygen (17 keV (16)O(-)) ion surface bombardment (ion beam sputtering) of rubidium bromide (RbBr) and of ammonium bromide (NH(4)Br) powdered ionic salt samples, respectively, pressed into indium foil. These novel species were observed at half-integer m/z values in positive ion mass spectra for ion flight times of roughly similar to 12 mu s through a magnetic-sector secondary ion mass spectrometer. Here we present these experimental results and combine them with a detailed theoretical investigation using high level ab initio calculations of the ground states of BrO(2+) and NBr(2+), and a manifold of excited electronic states. NBr(2+) and BrO(2+), in their ground states, are long-lived metastable gas-phase molecules with well depths of 2.73 x 10(4) cm(-1) (3.38 eV) and 1.62 x 10(4) cm(-1) (2.01 eV); their fragmentation channels into two monocations lie 2.31 x 10(3) cm(-1) (0.29 eV) and 2.14 x 10(4) cm(-1) (2.65 eV) below the ground state minimum. The calculated lifetimes for NBr(2+) (v '' < 35) and BrO(2+) (v '' < 18) are large enough to be considered stable against tunneling. For NBr(2+), we predicted R(e) = 3.051 a(0) and omega(e) = 984 cm(-1); for BrO(2+), we obtained 3.033 a(0) and 916 cm(-1), respectively. The adiabatic double ionization energies of BrO and NBr to form metastable BrO(2+) and NBr(2+) are calculated to be 30.73 and 29.08 eV, respectively. The effect of spin-orbit interactions on the low-lying (Lambda + S) states is also discussed. (C) 2011 American Institute of Physics. [doi:10.1063/1.3562121]

The electronic states of SeF: A reinterpretation of the chemiluminescent emission of the reaction of selenium with fluorine

The low-lying doublet and quartet electronic states of the species SeF correlating with the first dissociation channel are investigated theoretically at a high-level of electronic correlation treatment, namely, the complete active space self-consistent field/multireference single and double excitations configuration interaction (CASSCF/MRSDCI) using a quintuple-zeta quality basis set including a relativistic effective core potential for the selenium atom. Potential energy curves for (Lambda+S) states and the corresponding spectroscopic properties are derived that allows for an unambiguous assignment of the only spectrum known experimentally as due to a spin-forbidden X (2)Pi-a (4)Sigma(-) transition, and not a A (2)Pi-X (2)Pi transition as assumed so far. For the bound excited doublets, yet unknown experimentally, this study is the first theoretical characterization of their spectroscopic properties. Also the spin-orbit coupling constant function for the X (2)Pi state is derived as well as the spin-orbit coupling matrix element between the X (2)Pi and a (4)Sigma(-) states. Dipole moment functions and vibrationally averaged dipole moments show SeF to be a very polar species. An overview of the lowest-lying spin-orbit (Omega) states completes this description. (C) 2010 American Institute of Physics. [doi: 10.1063/1.3426315]

Full-dimensional analytical ab initio potential energy surface of the ground state of HOI

Extensive ab initio calculations using a complete active space second-order perturbation theory wavefunction, including scalar and spin-orbit relativistic effects with a quadruple-zeta quality basis set were used to construct an analytical potential energy surface (PES) of the ground state of the [H, O, I] system. A total of 5344 points were fit to a three-dimensional function of the internuclear distances, with a global root-mean-square error of 1.26 kcal mol(-1). The resulting PES describes accurately the main features of this system: the HOI and HIO isomers, the transition state between them, and all dissociation asymptotes. After a small adjustment, using a scaling factor on the internal coordinates of HOI, the frequencies calculated in this work agree with the experimental data available within 10 cm(-1). (C) 2011 American Institute of Physics. [doi: 10.1063/1.3615545]

Popper and his Commentators on the Discovery of Neptune: a close shave for the Law of Gravitation?

Knowledge of residual perturbations in the orbit of Uranus in the early 1840s did not lead to the refutation of Newton's law of gravitation but instead to the discovery of Neptune in 1846. Karl Popper asserts that this case is atypical of science and that the law of gravitation was at least prima facie falsified by these perturbations. I argue that these assertions are the product of a false, a priori methodological position I call, 'Weak Popperian Falsificationism' (WPF). Further, on the evidence the law was not prima facie false and was not generally considered so by astronomers at the time. Many of Popper's commentators (Kuhn, Lakatos, Feyerabend and others) presuppose WPF and their views on this case and its implications for scientific rationality and method suffer from this same defect.

Satellite protection and drag reduction using a purging gas flow

We have used the DSMC method to determine contamination (impingement of atmospheric molecules) and the aerodynamic forces on a cold satellite when a protective “purge gas” is ejected from a sting protruding ahead of the satellite. Forward ejection of the purge gas provides the greatest protection for a given mass of purge gas and the aerodynamic drag can be significantly reduced, thus compensating for the backward reaction from the forward ejection. If the purge gas is ejected backward from the sting (towards the satellite) the ejection provides thrust and the net retarding force can be reduced to zero. Contamination can be reduced and the mass of purging gas is less than the mass of conventional rocket propellant required to maintain the orbit of an unprotected satellite.

Iron(III) and iron(II) complexes of 1-thia-4,7-diazacyclononane ([9]aneN(2)S) and 1,4-dithia-7-azacyclononane ([9]aneNS(2)). X-Ray structural analyses, magnetic susceptibility, Mossbauer, EPR and electronic spectroscopy

The complexes [Fe([9]aneN(2)S)(2)][ClO4](2), [Fe([9]aneN(2)S)(2)][ClO4](3) and [Fe([9]aneNS(2))(2)][ClO4](2) ([9]aneN(2)S = 1-thia-4. 7-diazacyclononane and [9]aneNS(2) = 1,4-dithia-7-azacyclononane) have been prepared and the latter two characterised by X-ray crystallography. The Mossbauer spectra (isomer shift/mm s(-1), quadrupole splitting/mm s(-1), 4.2 K) for [Fe([9]aneN(2)S)(2)][ClO4](2) (0.52, 0.57), [Fe([9]aneN(2)S)(2)][ClO4](3) (0.25, 2.72) and [Fe([9]aneNS(2))(2)][ClO4](2) (0.43, 0.28) are typical for iron(II) and iron(III) complexes. Variable-temperature susceptibility measurements for [Fe([9]aneN(2)S)(2)][ClO4](2) (2-300 K) revealed temperature-dependent behaviour in both the solid state [2.95 mu(B) (300 K)-0.5 mu(B) (4.2 K)] and solution (Delta H degrees 20-22 kJ mol(-1), Delta S degrees 53-60 J mol(-1) K-1). For [Fe([9]aneN(2)S)(2)][ClO4](3) in the solid state [2.3 mu(B) (300 K)-1.9 mu(B) (4.2 K)] the magnetic data were fit to a simple model (H = -lambda L . S + mu L-z) to give the spin-orbit coupling constant (lambda) of -260 +/- 10 cm(-1). The solid-state X-band EPR spectrum of [Fe([9]aneN(2)S)(2)][ClO4](3) revealed axial symmetry (g(perpendicular to) = 2.607, g(parallel to) = 1.599). Resolution of g(perpendicular to) into two components at Q-band frequencies indicated a rhombic distortion. The low-temperature single-crystal absorption spectra of [Fe([9]aneN(2)S)(2)][ClO4](2) and [Fe([9]aneNS(2))(2)][ClO4](2) exhibited additional bands which resembled pseudotetragonal low-symmetry splitting of the parent octahedral (1)A(1g) --> T-1(2g) and (1)A(1g) ---> T-1(1g) transitions. However, the magnitude of these splittings was too large, requiring 10Dq for the thioether donors to be significantly larger than for the amine donors. Instead, these bands were tentatively assigned to weak, low-energy S --> Fe-II charge-transfer transitions. Above 200 K, thermal occupation of the high-spin T-5(2g) ground state resulted in observation of the T-5(2g) --> E-5(g) transition in the crystal spectrum of [Fe([9]aneN(2)S)(2)][ClO4](2). From a temperature-dependence study, the separation of the low-spin (1)A(1g) and high-spin T-5(2g) ground states was approximately 1700 cm(-1). The spectrum of the iron(III) complex [Fe([9]aneN(2)S)(2)][ClO4](3) is consistent with a low-spin d(5) configuration.

Cyclotron effective masses in layered metals

Many layered metals such as quasi-two-dimensional organic molecular crystals show properties consistent with a Fermi-liquid description at low temperatures. The effective masses extracted from the temperature dependence of the magnetic oscillations observed in these materials are in the range, m(c)*/m(e) similar to 1 - 7, suggesting that these systems are strongly correlated. However, the ratio m(c)*/m(e) contains both the renormalization due to the electron-electron interaction and the periodic potential of the lattice. We show that for any quasi-two-dimensional band structure, the cyclotron mass is proportional to the density-of-states at the Fermi energy. Due to Luttinger's theorem, this result is also valid in the presence of interactions. We then evaluate m(c) for several model band structures for the beta, kappa, and theta families of (BEDT-TTF)(2)X, where BEDT-TTF is bis-(ethylenedithia-tetrathiafulvalene) and X is an anion. We find that for kappa-(BEDT-TTF)(2)X, the cyclotron mass of the beta orbit, m(c)*(beta) is close to 2 m(c)*(alpha), where m(c)*(alpha) is the effective mass of the alpha orbit. This result is fairly insensitive to the band-structure details. For a wide range of materials we compare values of the cyclotron mass deduced from band-structure calculations to values deduced from measurements of magnetic oscillations and the specific-heat coefficient gamma.

Cranial anatomy of a new genus of hyperodapedontine rhynchosaur (Diapsida, Archosauromorpha) from the Upper Triassic of southern Brazil

Detailed description of the cranial anatomy of the rhynchosaur previously known as Scaphonyx sulcognathus allows its assignment to a new genus Teyumbaita. Two nearly complete skulls and a partial skull have been referred to the taxon, all of which come from the lower part of the Caturrita Formation, Upper Triassic of Rio Grande do Sul, southern Brazil. Cranial autapomorphies of Teyumbaita sulcognathus include anterior margin of nasal concave at midline, prefrontal separated from the ascending process of the maxilla, palatal ramus of pterygoid expanded laterally within palatines, dorsal surface of exoccipital markedly depressed, a single tooth lingually displaced from the main medial tooth-bearing area of the maxilla, and a number of other characters (such as skull broader than long; a protruding orbital anterior margin; anguli oils extending to anterior ramus of the jugal; bar between the orbit and the lower temporal fenestra wider than 0.4 of the total orbital opening; mandibular depth reaching more than 25% of the total length) support its inclusion in Hyperodapedontinae. T. sulcognathus is the only potential Norian rhynchosaur, suggesting that the group survived the end-Carnian extinction event.

Isotopically resolved (B)over-tilde<-(X)over-tilde electronic spectrum of Ag-3 and calculation of its Jahn-Teller effects

Ag-3 was produced by pulsed-nozzle laser vaporisation and jet-cooled in a Ne supersonic expansion. One-color resonant two-photon ionisation (R2PI) spectra of the (B) over tilde(2) E '' <-- (X) over tilde(2) E' transition of Ag-3 were separately measured for all four isotopic combinations. Long vibrational progressions are observed, involving clearly resolved bands at low energy, merging into a dense but resolvable spectrum up to 1000 cm(-1) above the origin. Both the ground (X) over tilde(2) E' and excited (B) over tilde(2) E '' states of Ag-3 are susceptible to Jahn-Teller distortion along the degenerate e' bending coordinate. The Jahn-Teller analysis includes both linear and quadratic terms, simultaneously with the spin-orbit coupling. Following extensive parameter fitting, the absorption spectrum is calculated, and bands assigned. The spin-orbit splitting is quenched below the localization energy, but becomes observable approximate to 300 cm(-1) above the origin.

Endoscopic ligation of the anterior ethmoidal artery: a cadaver dissection study

Anterior ethmoidal artery (AEA) ligation may be necessary in cases of severe epistaxis not controllable with traditional therapy. Endoscopic endonasal ligation of the AEA is not used frequently; there are few studies in the literature for standardization of the endoscopic technique for this vessel. Aim: To demonstrate the feasibility of periorbital AEA ligation in a transethmoidal endoscopic approach. Methods: A prospective study where 50 nasal cavities were dissected. After anterior ethmoidectomy and partial removal of lamina papyracea, the periorbital area was carefully dissected along a subperiosteal plane to identify the AEA. The vessel was exposed within the orbit and dissected. Results: Data on technical difficulties, complications, the learning curve and anatomical variations were gathered. Conclusion: An endonasal endoscopic approach to the AEA within the orbit was shown to be feasible. Identifying the artery is not difficult, and this technique avoids external incisions. This approach appears to be an excellent alternative for approaching the AEA. Further clinical studies are needed to demonstarte the benefits of this technique.

Changes in Management Strategies After Spontaneous Migration of a Retained Intraorbital Metallic Foreign Body

Purpose: Because of the controversial biologic tolerance and management, retained intraorbital metallic foreign body (RIMFb) poses a formidable challenge to surgeons. Besides location of the foreign body, indications for surgical management include neurologic injury, mechanical restriction of the eye movement, and development of local infection or draining fistula. The authors describe an unusual case of spontaneous migration of a RIMFb. Methods: A 26-year-old man had a gunshot injury on the left orbit. The patient was initially managed conservatively because of the posterior position of the bullet fragment. Thereafter, because of the clinical impairments and anterior migration of projectile, surgical treatment was considered. Results: Spontaneous anterior migration has led to mechanical disturbances and inflammatory complications that comprise explicit surgical indications for removal. The patient underwent surgery with complete relief of symptoms. We suppose that extrinsic ocular muscles might play a role in shifting large RIMFb over time, leading to change in the management strategies. Conclusions: Spontaneous migration of RIMFb is a rare clinical situation that can lead to pain, local deformity, as well as changes in the management strategies of the affected patients even in the late phase of follow-up.

Intraorbital polyacrylamide gel injection for the treatment of anophthalmic enophthalmos

Purpose: To evaluate the use of orbital polyacrylamide gel injection for the correction of anophthalmic enophthalmos. Methods: Noncontrolled clinical trial of 21 patients (14 with ocular implants, 5 with phthisis bulbi, and 2 with dermis-fat graft). Orbital CT was performed to estimate the volume of polyacrylamide gel needed to restore orbital volume. Polyacrylamide gel was injected using a 22-gauge (30 x 0.7 min) needle transcutaneously inserted in the lateral third of the lower eyelid, directed to the orbital muscle cone. A second injection was administered 15 days later. if necessary. CT was repeated 30 days after the last procedure. Exophthalmometry was performed before Bind 90 days after file procedure. Results: The mean total volume injected per orbit was 2.4 +/- 0.7 ml (range 1-3.5 ml). The volume of the enophthalmic orbit increased front 26.9 +/- 5.0 ml to 29.3 +/- 4.9 ml (p < 0.001). The mean difference in exophthalmometry readings was 3.3 +/- 1.6 mm (range, 1.5-8.0 mm) before the procedure and 1.0 +/- 0.9 mm (range, 0.0-3.0 mm) after 3 months (p < 0.001). Adjustment of the ocular prosthesis or fabrication of a new one was necessary in 11 patients (52.4%), and the mean volume of the ocular prosthesis was reduced front 2.0 +/- 0.6 ml to 1.6 +/- 0.6 ml (p = 0.003). All patients were satisfied with the aesthetic results. No serious adverse events were observed. The initial results were maintained 1 year after the procedure. Conclusions: Polyacrylamide gel injection in the orbital space effectively reduces enophthalmos in ocular prosthesis wearers.

Orbital Involvement in Craniofacial Brown Tumors

Purpose: To describe the clinical and radiologic features of orbital involvement in craniofacial brown tumors and to compare the rate of brown tumors in primary and secondary hyperparathyroidism. Methods: A retrospective hospital-based study of 115 patients with chronic kidney disease and secondary hyperparathyroidism and 34 with primary hyperparathyroidism was conducted. Laboratory results such as serum levels of alkaline phosphatase, calcium, phosphorus, and parathyroid hormone were recorded. Demographic data (age, sex, duration of disease) and image findings (bone scan scintigraphy, skull and long bone x-rays, CT) were also obtained. The main outcome measures were analysis of clinical, biochemical, and radiologic findings of all patients. Results: Of the 115 patients with chronic kidney disease, 10 (8.7%) had brown tumors in different bones of the skeleton. Five patients had lesions in the craniofacial bones. The maxilla, mandible, maxillary sinus, and nasal cavity were the most affected sites. The orbit was involved in 2 patients with lesions arising in the maxillary and ethmoid sinuses. One patient had facial leontiasis. All patients with brown tumors had extremely high levels of parathyroid hormone (>1,000 pg/ml, normal values 10-69 pg/ml) and alkaline phosphatase (>400 U/l, normal values 65-300 U/l). The mean serum levels of phosphorus and calcium were not abnormal among the patients with brown tumors. Age and time of renal failure were similar for patients with and without brown tumors. Among the patients with primary hyperparathyroidism, only 2 (5.8%) had brown tumors, and in just 1, the lesion was localized in the craniofacial skeleton. A 2-tailed Z test applied to compare the proportion of occurrence of brown tumors in the 2 groups revealed that the difference at the 90% of confidence level was not significant. Conclusions: Brown tumors are equally found in secondary and primary hyperparathyroidism. Craniofacial brown tumors involve the orbit, usually because of the osteodystrophy process that involves the maxilla and paranasal sinuses. The lesions do not necessarily need to be excised and may regress spontaneously after the control of hyperparathyroidism.

Ossifying fibroma: A rare cause of orbital inflammation

Purpose: To describe the clinical and radiologic features of 4 cases of ossifying fibroma affecting the orbit and to review the literature on orbital involvement by the tumor. Methods: Small case series. Results: Four patients (3 children and 1 adult) with ossifying fibromas invading the orbit were examined. Two of the 3 children were examined for ossifying fibromas on the orbital roof. One had the psammomatoid form of the disease and the other the trabecular variant. Despite striking differences in the histologic pattern and in the radiologic appearance of the lesions, both children displayed a significant degree of orbital inflammation mimicking orbital cellulitis. The third child and the adult patient had the orbit involved by trabecular ossifying fibromas invading the orbital floor. The tumor of the adult clearly originated in the maxilla, filled the maxillary sinus, and eroded the orbital floor. The tumor of the third child occupied the maxillary, ethmoid, and sphenoid sinuses. In both cases, the clinical presentation was painless eye dystopia and proptosis. Conclusions: Regardless of the histologic pattern (trabecular or psammomatoid), ossifying fibromas can induce a substantial degree of orbital inflammation in children and must be included in the differential diagnosis of acute orbital inflammation during childhood.