Activities and ionic distributions in liquid silicates: application of polymer theory

1970 ◽  
Vol 48 (9) ◽  
pp. 1456-1464 ◽  
Author(s):  
C. R. Masson ◽  
I. B. Smith ◽  
S. G. Whiteway

Theoretical expressions derived previously for molecular size distributions in multichain polymers are applied to binary silicate melts. The treatment is an extension of a previous approach which was limited to the consideration of linear chains. When all configurations of the chain molecules are taken into consideration, the predicted variation of thermodynamic activity with composition agrees with experiment for all binary systems for which data are available. The effect of allowing for all chain configurations is largely to improve the fit between theory and experiment at high silica contents. Calculated ionic distributions for the system 'FeO'–SiO2 do not differ markedly from those previously reported. The mean chain length is unaffected. The results support previous views that principles of polymer chemistry can be applied usefully to silicate melts and glasses.

1970 ◽  
Vol 48 (1) ◽  
pp. 201-202 ◽  
Author(s):  
C. R. Masson ◽  
I. B. Smith ◽  
S. G. Whiteway

Expressions developed previously by Flory and by the authors for molecular size distributions in branched polymers were used to derive theoretical curves of activity vs. composition in binary silicate melts. In contrast with curves based on the Flory distribution those derived from our result were in good agreement with experiment over the entire range of compositions up to the maximum degree of polymerization allowed by the theory. The comparison is illustrated for the systems PbO–SiO2 and SnO–SiO2.


1971 ◽  
Vol 49 (5) ◽  
pp. 683-690 ◽  
Author(s):  
I. B. Smith ◽  
C. R. Masson

Activities of CoO in CoO–SiO2 melts were measured at 1450–1500 °C by equilibrating the melts, held in Pt–Rh containers, with atmospheres of known oxygen potential. Activities were calculated by the relationship[Formula: see text]where aCo, the activity of cobalt in the container, was determined in separate experiments.The results were compared with theoretical activity–composition curves based on the application of polymer theory to silicate melts. The results were in good agreement with theoretical curves calculated on the assumption of linear chains. In contrast, for all other binary silicate melts so far investigated the results are best represented in terms of theory in which all chain configurations are allowed. Ionic distributions and number average and weight average molecular weights were calculated as functions of the silica content from the experimental data. The calculated proportions of monomeric ion, SiO44−, dimer Si2O76−, and trimer Si3O108− were in reasonable agreement with experimental values based on trimethylsilylation and gas-chromatographic separation of the ionic constituents in quenched melts.


Membranes ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 249
Author(s):  
Yasuhisa Hasegawa ◽  
Chie Abe ◽  
Mayumi Natsui ◽  
Ayumi Ikeda

The polycrystalline CHA-type zeolite layer with Si/Al = 18 was formed on the porous α-Al2O3 tube in this study, and the gas permeation properties were determined using single-component H2, CO2, N2, CH4, n-C4H10, and SF6 at 303–473 K. The membrane showed permeation behavior, wherein the permeance reduced with the molecular size, attributed to the effect of molecular sieving. The separation performances were also determined using the equimolar mixtures of N2–SF6, CO2–N2, and CO2–CH4. As a result, the N2/SF6 and CO2/CH4 selectivities were as high as 710 and 240, respectively. However, the CO2/N2 selectivity was only 25. These results propose that the high-silica CHA-type zeolite membrane is suitable for the separation of CO2 from CH4 by the effect of molecular sieving.


2010 ◽  
Vol 10 (7) ◽  
pp. 3215-3233 ◽  
Author(s):  
J. A. Huffman ◽  
B. Treutlein ◽  
U. Pöschl

Abstract. Primary Biological Aerosol Particles (PBAPs), including bacteria, spores and pollen, are essential for the spread of organisms and disease in the biosphere, and numerous studies have suggested that they may be important for atmospheric processes, including the formation of clouds and precipitation. The atmospheric abundance and size distribution of PBAPs, however, are largely unknown. At a semi-urban site in Mainz, Germany we used an Ultraviolet Aerodynamic Particle Sizer (UV-APS) to measure Fluorescent Biological Aerosol Particles (FBAPs), which provide an estimate of viable bioaerosol particles and can be regarded as an approximate lower limit for the actual abundance of PBAPs. Fluorescence of non-biological aerosol components are likely to influence the measurement results obtained for fine particles (<1 μm), but not for coarse particles (1–20 μm). Averaged over the four-month measurement period (August–December 2006), the mean number concentration of coarse FBAPs was ~3×10−2 cm−3, corresponding to ~4% of total coarse particle number. The mean mass concentration of FBAPs was ~1μg m−3, corresponding to ~20% of total coarse particle mass. The FBAP number size distributions exhibited alternating patterns with peaks at various diameters. A pronounced peak at ~3 μm was essentially always observed and can be described by the following campaign-average lognormal fit parameters: geometric mean diameter 3.2 μm, geometric standard deviation 1.3, number concentration 1.6×10−2 cm−3. This peak is likely due to fungal spores or agglomerated bacteria, and it exhibited a pronounced diel cycle (24-h) with maximum intensity during early/mid-morning. FBAP peaks around ~1.5 μm, ~5 μm, and ~13 μm were also observed, but less pronounced and less frequent. These may be single bacterial cells, larger fungal spores, and pollen grains, respectively. The observed number concentrations and characteristic sizes of FBAPs are consistent with microscopic, biological and chemical analyses of PBAPs in aerosol filter samples. To our knowledge, however, this is the first exploratory study reporting continuous online measurements of bioaerosol particles over several months and a range of characteristic size distribution patterns with a persistent bioaerosol peak at ~3 μm. The measurement results confirm that PBAPs account for a substantial proportion of coarse aerosol particle number and mass in continental boundary layer air. Moreover, they suggest that the number concentration of viable bioparticles is dominated by fungal spores or agglomerated bacteria with aerodynamic diameters around 3 μm rather than single bacterial cells with diameters around 1 μm.


1998 ◽  
Vol 79 (6) ◽  
pp. 2999-3011 ◽  
Author(s):  
Jan C. Behrends ◽  
Gerrit ten Bruggencate

Behrends, Jan C. and Gerrit ten Bruggencate. Changes in quantal size distributions upon experimental variations in the probability of release at striatal inhibitory synapses. J. Neurophysiol. 79: 2999–3011, 1998. Postsynaptic inhibitory γ-aminobutyric acid-A (GABAA)-receptor–mediated current responses were measured using simultaneous pre- and postsynaptic whole cell recordings in primary cell cultures of rat striatum. Substitution of Sr2+ for extracellular Ca2+ strongly desynchronized the inhibitory postsynaptic currents (IPSCs), resulting in a succession of asynchronous IPSCs (asIPSCs). The rise times and decay time constants of individual evoked asIPSCs were not significantly different from those of miniature IPSCs that are the result of spontaneous vesicular release of GABA. Thus asIPSCs reflect quantal transmission at the individual contacts made by one presynaptic neuron on the recorded postsynaptic cell. Increasing the concentration of Sr2+ from 2 to 10 mM and decreasing that of Mg2+ from 5 to 1 mM produced an increase in the frequency of asIPSCs consistent with an enhancement of the mean probability of release ( P r ). At the same time the amplitude distribution of asIPSCs was shifted toward larger values, whereas responses to exogenously applied GABA on average were slightly decreased in amplitude. Application of the GABAB-receptor agonist baclofen (3–10 μM) strongly reduced the frequency of asIPSC, consistent with a decrease in P r , and led to a shift of the amplitude distribution toward smaller values. Baclofen had no effect on responses to exogenously applied GABA. In summary, our data suggest that at striatal inhibitory connections the weight of single contacts may be controlled presynaptically by variation in the amount of transmitter released.


2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Lorenzo Iorio

Abstract The distinction between the mean anomaly $${\mathcal {M}}(t)$$M(t) and the mean anomaly at epoch $$\eta $$η, and the mean longitude l(t) and the mean longitude at epoch $$\epsilon $$ϵ is clarified in the context of a their possible use in post-Keplerian tests of gravity, both Newtonian and post-Newtonian. In particular, the perturbations induced on $${\mathcal {M}}(t),\,\eta ,\,l(t),\,\epsilon $$M(t),η,l(t),ϵ by the post-Newtonian Schwarzschild and Lense–Thirring fields, and the classical accelerations due to the atmospheric drag and the oblateness $$J_2$$J2 of the central body are calculated for an arbitrary orbital configuration of the test particle and a generic orientation of the primary’s spin axis $$\varvec{{\hat{S}}}$$S^. They provide us with further observables which could be fruitfully used, e.g., in better characterizing astrophysical binary systems and in more accurate satellite-based tests around major bodies of the Solar System. Some erroneous claims by Ciufolini and Pavlis appeared in the literature are confuted. In particular, it is shown that there are no net perturbations of the Lense–Thirring acceleration on either the semimajor axis a and the mean motion $$n_{\mathrm{b}}$$nb. Furthermore, the quadratic signatures on $${\mathcal {M}}(t)$$M(t) and l(t) due to certain disturbing non-gravitational accelerations like the atmospheric drag can be effectively disentangled from the post-Newtonian linear trends of interest provided that a sufficiently long temporal interval for the data analysis is assumed. A possible use of $$\eta $$η along with the longitudes of the ascending node $$\Omega $$Ω in tests of general relativity with the existing LAGEOS and LAGEOS II satellites is suggested.


2005 ◽  
Vol 42 (02) ◽  
pp. 478-490
Author(s):  
De-An Wu ◽  
Hideaki Takagi

We consider single-server queues with exponentially distributed service times, in which the arrival process is governed by a semi-Markov process (SMP). Two service disciplines, processor sharing (PS) and random service (RS), are investigated. We note that the sojourn time distribution of a type-lcustomer who, upon his arrival, meetskcustomers already present in the SMP/M/1/PS queue is identical to the waiting time distribution of a type-lcustomer who, upon his arrival, meetsk+1 customers already present in the SMP/M/1/RS queue. Two sets of system equations, one for the joint transform of the sojourn time and queue size distributions in the SMP/M/1/PS queue, and the other for the joint transform of the waiting time and queue size distributions in the SMP/M/1/RS queue, are derived. Using these equations, the mean sojourn time in the SMP/M/1/PS queue and the mean waiting time in the SMP/M/1/RS queue are obtained. We also consider a special case of the SMP in which the interarrival time distribution is determined only by the type of the customer who has most recently arrived. Numerical examples are also presented.


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