Rotation and dilation deformation mechanisms for auxetic behaviour in the α-cristobalite tetrahedral framework structure

 Analytical expressions are derived for the Poisson's ratios associated with a three-dimensional network of regular, corner-sharing tetrahedra in which: (1) the tetrahedra are assumed to be rigid and free to rotate relative to each other; (2) the tetrahedra are assumed to maintain shape and orientation but are free to change size (dilate); (3) tetrahedral rotation and dilation are assumed to act concurrently. The structure has a primitive unit cell containing four tetrahedra and is analogous to the molecular structure of α-cristobalite. Strain-dependent variations in Poisson's ratio are also predicted by the models. For deformation due to tetrahedral rotation the network is found to exhibit negative Poisson's ratios in each of the three principal directions, with the magnitude of the Poisson's ratio being dependent on the angle of rotation of the tetrahedra. The behaviour of the Poisson's ratio is isotropic in the transverse plane, but anisotropic elsewhere. In the dilation model negative Poisson's ratios equal to −1 are observed for uniaxial loading in any of the principal directions, with the value being constant irrespective of tetrahedral size. The model for concurrent tetrahedral rotation and dilation allows positive as well as negative Poisson's ratios, with the values determined by the framework geometry and relative strengths of the two mechanisms. The concurrent model also offers a design route to materials and structures having ultrahigh Young's moduli. Received: 15 February 2000 / Accepted: 1 October 2000     

Production of atmospheric condensation nuclei by sunrays

Summary 1) It is confirmed that in filtered, nucleus-free air, in a polyethylene balloon, if irradiated by sunglight, an immediate large number of condensation nuclei appear. — 2) The nucleus count rises to about 35. 000/cm³ and if the irradiation is continued does not increase, but decreases. This decreased is accelerated in the dark. — 3) Less intensive sunlight as when the sun was covered by clouds, gives slower and smaller increases. — 4) The same was observed if, instead of air, inducstrial oxygen or nitrogen was used. — 5) Traces of H₂S increase the sun effect enormously. — 6) Traces of NH₃ also increase it, but less than H₂S. — 7) SO₂ filtered through cottonwool gave also in the dark nuclei, which then decreased in number. — 8) It is supposed that H₂S is oxydized by the photochemical action of the sun's visible spectrum to SO₂ SO₃ SO₄ which is a nucleus. With NH₃ the formation of (NH₃)₂ SO₄ is probable. But no direct proof is given that these are the actual impurities which explain the sun's action on air. It is calculated that dilutions of 10^–15 of an impurity of the type of H₂S can quantitatively explain the sun effect. — 9) The work ofAitken is extensively quoted, who noticed, 50 years ago, the «fog produced by sun».

---

Zusammenfassung 1) Es wird bestätigt, dass Sonnen-Bestrahlung von filtrierter kernfreier Luft, welche in einem Polyethylen-Ballon aufbewahrt ist, zum Entstehen einer hohen Zahl von Kondensations Kernen führt. — 2) Die Kernzahl steigt auf etwa 35 000/cm³. Wird die Bestrahlung fortgesetzt, dann steigt sie nicht weiter sondern nimmt ab. Die Abnahme wird im Dunkeln beschleunigt. — 3) Durch Wolken abgeschwächtes Sonnenlicht gibt eine langsamere, weniger grosse Kernbildung. — 4) Dieselben Beobachtungen wurden mit industriellem Sauerstroff und Stickstoff auch gemacht. — 5) Spuren von H₂S verstärken den Sonneneffekt enorm. — 6) Spuren von NH₃ verstärken ihn auch, jedoch weniger. — 7) SO₂ Gas, gefiltert durch Baumwollfilter giebt auch im Dunkeln schon Kerne, deren Zahl dann wieder abnimmt. — 8) Es wird angenommen, das H₂S durch photochemische Wirkung des sichtbaren Sonnenlichtes oxidiert wird zu SO₂ SO₃ SO₄ welch letzteres bereits als H₂HO₄ ein Kondensationskern ist. Mit NH₃)₂ SO₄ Kondensationskerne gebildet werden. Es sind jedoch keine direkten Beweise dafür vorhanden, dass diese Gase die Verunreinigungen der atmosphärischen Luft sind, welche den Sonnenffekt geben. Es wird aber berechnet, dass schon Verdünnungen von 10^–15 eine Verunreinigung H₂S den Sonnen-Effekt erklären. — 9)Aitken's Werk, der bereits vor 50 Jahren von « durch Sonne verursachten Nebel « sprach, wird gewürdigt.

---

---

From the Clima-physiological Laboratory of St. Moritz-Bad.     

Infrared emission from interstellar grains heated by supernovae

The infrared emission from interstellar grains heated by a supernova in eruption is investigated. The dependence of the emission on various physical parameters, such as the depth of the supernova into the dust plane of the parent galaxy, the inclination of the galaxy to the line-of-sight, are investigated. The possibility of detecting this emission is discussed. The prospects are hopeful as far as cryogenically-cooled instruments in Earth orbit are concerned.     

The use of solar faculae in studies of the sunspot cycle

Comparison of the long-term variation of photospheric faculae areas with that of sunspots shows that studies of faculae provide both complementary and supplementary information on the behaviour of the solar cycle. Detailed studies of the development of sunspots with respect to faculae show that there is a high degree of order over much of a given cycle, but marked differences from cycle to cycle. Within a cycle the relationship between spot and faculae areas appears to be similar for the N and S solar hemispheres, and over the early stages of a cycle it is directly related to the magnitude of the maximum sunspot number subsequently attained in that cycle.This result may well have predictive applications, and formulae are given relating the peak sunspot number to simple parameters derived from this early developmental stage. Full application to the current cycle 21 is denied due to the cessation of the Greenwich daily photoheliographic measurements, but use of the cruder weekly data suggests a maximum smoothed sunspot number of 150 ± 22.The effects of the incompatibility of the spot and faculae data, in that faculae are unobservable over a large fraction of the solar disc and also do not always develop associated spots, have been examined in a detailed study of two cycles and shown not to vitiate the results.Now at NOAA, Environmental Data Service, NGSTDC, Boulder, Colo. 80302, U.S.A.     

On the capture of the Moon

This paper studies the possibility of lunar capture depending on variations of the solar mass under certain well specified conditions and assumptions regarding the behaviour of the three-body dynamical system formed by the Sun, Earth and Moon. It is found that a large amount of decrease in the solar mass (approximately 37%) would be required to allow capture if the model of the planar restricted problem of three bodies is assumed, if the masses of the Earth and Moon did not change and if the angular momentum of the Sun-Earth system did not change. Such large mass-changes of the Sun can not be associated with radiation mass losses only with catastrophic events, such as stellar close approaches.     

Millstone Hill Thomson scatter results for 1966 and 1967

Thomson (incoherent) scatter radar measurements of F-region electron densities and temperatures were made approximately twice per month throughout 1966 and 1967 at Millstone Hill for periods of 24 hr. Owing to the increase in sunspot activity the results display a rich variety of different types of behaviour. Geomagnetically quiet days tended to follow patterns observed near sunspot minimum. Thus in winter there is typically a marked diurnal variation in electron density with a peak near noon and often a smaller secondary maximum between 02 and 04 EST. In summer there is less day-to-night variation and the peak density is encountered near ground sunset. Usually h_maxF2 is higher in summer than winter and the layer thickness is larger also.Some magnetically disturbed days follow a distinct pattern in which N_max and h_max are normal during the first day of the storm until afternoon when they both increase to very high values. There is then a corresponding decrease in electron temperature. During the night the electron temperature often reaches abnormally high values, providing evidence of nocturnal heating. On the following day N_max and h_max are abnormally low.During 1967 instances in which the trough of low electron density moved south to occupy a position over Millstone became frequent. The electron temperature rose to particularly high values on these occasions. These morphological features are discussed in terms of current theoretical ideas. The results are also employed to derive seasonal variations of electron temperature and protonospheric heat flux. It is shown that since 1964 the protonospheric heat flux has been larger in winter than summer and displays a clear sunspot cycle variation.     

A geomagnetic secular variation study (31000–19 500 bp) in Western Canada

Summary. Palaeomagnetic results from 212 horizons spread evenly through an 18 m sedimentary sequence in southern British Columbia are reported. Radiocarbon ages suggest that the sequence spans the interval from 31 200 to 19 500 yr bp. No evidence for any large geomagnetic excursions (such as the so-called Mono Lake Excursion) is found, but a distinctive pattern of 'normal' secular variation is observed with declination and inclination swings of 45° and 25° peak to peak amplitude respectively. For the most part the secular variation consists of low amplitude oscillations about the field vector of a geocentric axial dipole expected at the site latitude, but three relatively large perturbations occur at approximately 4000 yr intervals. These perturbations systematically bias the overall mean to shallow inclinations and easterly declinations in a manner reminiscent of the spatially non-isotropic secular variation model proposed by Cox. The bias involved is about 6° in declination and 3° in inclination (overall mean D = 5.8°E, I = 64.2°, α95 = 0.9°, N = 212 horizons), which leads to a pole which is both 'far-sided' and 'right-handed'. If the horizons involved in the three major perturbations are eliminated the mean direction ( D = 1.2°E, I = 67.2°, α95 = 0.8°, N = 125 horizons) does not differ from that of a geocentric axial dipole despite the small cone of confidence.     

Improved approaches to ecotoxicity testing of petroleum products

Crude oils produced in the North West shelf of Western Australia are highly volatile, a characteristic not shared by most of the Northern Hemisphere crude oils on which internationally accepted toxicity test protocols were developed. Because of this volatility and some other factors, the LC50 and EC50 values obtained from acute toxicity tests will be significantly affected by the changes of toxicant concentration in test solutions during the period of exposure. To address these issues all steps of a standard protocol for crude oil toxicity testing have been revised. A systematic study has been performed on factors which affect petroleum hydrocarbon solubilisation in aqueous systems during test solution preparations. The influence of mixing time, agitation energy and volume/interface ratio on a hydrocarbon concentration in a water-soluble fraction (WSF) was studied for heavy, medium and light crude oils. A study of the sensitivity of marine unicellular algae to WSF of crude oils was conducted with Isochrysis sp., Nannochloropsis-like sp. and Nitzchia closterium. Total concentrations of hydrocarbons dissolved in test solutions were estimated by UV-spectrometry and GC/FID chemical analyses. When the toxicant concentration decreased during the exposure period, the EC50 values derived from initial or final concentrations either underestimate or overestimate toxicity, respectively. Therefore, weighted average concentrations (WAC) calculated for the whole test period were recommended for expressing hydrocarbon concentrations in test solutions of crude oils. Toxicity indices calculated from WAC of total hydrocarbons for different crude oils can be compared regardless of the rates of hydrocarbon loss.     

Rapid quantification of humic and fulvic acids by HPLC in natural waters

A simple method based on high-performance size-exclusion chromatography (HPSEC) has been developed for rapid quantification of humic and fulvic acids (HA and FA) in stream waters. A Tsk-gel column was used to separate natural dissolved organic matter (DOM) into two components: peak A and B. In terms of HPSEC chromatograms and fluorescence patterns, peak A and B were similar to the corresponding XAD-extracted HA and FA, respectively. It is suggested that peak A fraction mainly consisted of HA, and peak B fraction FA. The similar separation of HA and FA using HPSEC and a conventional XAD method suggests the consistency of molecular size distribution and physical–chemical properties of DOM. HPSEC offers a simple and rapid method for the quantification of HA and FA instead of tedious extractions of humic substances. Analyses of natural water samples show that the calculation of HA/FA based on UV absorbance was under- or over-estimated, the calibration using the extracted HS allows a more accurate quantification. The fast screening of HA and FA provides useful quantitative and qualitative information that can be used in environmental or monitoring studies.