Exclusion diameter

In our study [4] of cavity size distribution a sphere of diameter D is prescribed on every atomic center, and the cavity is evaluated as the pocket of contiguous space unoccupied by any of these spheres. The exclusion diameter D has to be equated to the van der Waals diameter Dvdw of a CH2 unit for the evaluation of the total cavity volume. When diffusion of small gas molecules through polymers is of interest, the unoccupied space available for inclusion of the small molecule can be evaluated by setting D equal to Dp + Dydw> where Dp is the diameter of the small probe molecule. The results of the cavity volume analysis were therefore presented [4] as a function of the exclusion ameter D varying over a range of values. 

Fig. 8. Distribution [4] of cavities according to their size at T = 60 K for astern of X = 20. The value of the exclusion diameter D a med in each case is indicated...

Elution volume, exclusion chromatography Flow rate, column Gas/liquid volume ratio Inner column volume Interstitial (outer) volume Kovats retention indices Matrix volume Net retention volume Obstruction factor Packing uniformity factor Particle diameter Partition coefficient Partition ratio Peak asymmetry factor Peak resolution Plate height Plate number Porosity, column Pressure, column inlet Presure, column outlet Pressure drop... 

WORM disks with diameters of 130 mm (5.25 in.) and 200 mm (8 in.) are manufactured almost exclusively from modified BPA-PC, including Kodak s Photo-CD. Glass is used predorninandy only for WORM disks with 300 mm (12 in.) diameter. 

Eor EOD disks with 86 mm (3.5 in.) diameter and for Sony s Mini-Disk (67 mm diameter), modified BPA-PC is used exclusively for EOD disks with 130 mm diameter, modified BPA-PC (mainly) as well as glass (eg. Philips, Hitachi) are used. 

Characterization. When siHca gel is used as an adsorbent, the pore stmcture determines the gel adsorption capacity. Pores are characterized by specific surface area, specific pore volume (total volume of pores per gram of solid), average pore diameter, pore size distribution, and the degree to which entrance to larger pores is restricted by smaller pores. These parameters are derived from measuring vapor adsorption isotherms, mercury intmsion, low angle x-ray scattering, electron microscopy, gas permeabiHty, ion or molecule exclusion, or the volume of imbibed Hquid (1). 

Bubble caps were used almost exclusively as cross-flow-plate dispersers until about 1950, when they were largely displaced by simple or valve-type perforations. Many varieties of bubble-cap design were used (and therefore are extant in many operating columns), but in most cases bell caps of 75- to 150-mm (3- to 6-in) diameter were utilized. 

The more permeable component is called the. st ga.s, so it is the one enriched in the permeate stream. Permeability through polymers is the product of solubihty and diffusivity. The diffusivity of a gas in a membrane is inversely proportional to its kinetic diameter, a value determined from zeolite cage exclusion data (see Table 22-23 after Breck, Zeolite Molecular Sieves, Wiley, NY, 1974, p. 636). 

PM Impingement-plate tower collection efficiencies range from 50 to 99 percent, depending upon the application. This type of scrubber relies almost exclusively on inertial impaction for PM collection. Therefore, collection efficiency decreases as particle size decreases. Short residence times will also lower scrubber efficiency for small particles. Collection efficiencies for small particles (< 1 fim in aerodynamic diameter) are low for these scrubbers hence, they are not recommended for fine PM control. 

Bead diameter (jum) Size exclusion pore dimension" (nm) Fractionation range Maximum operating pressure/velocity (kPa)/(cm/hr) Recommended operating linear velocity (cm/hr) pH stability (short term)... 

SynChropak size exclusion supports are composed of spherical uniformly porous silica that has been derivatized with a suitable layer. SynChropak GPC supports are available in six pore diameters ranging from 50 to 4000 A and particle diameters from 5 to 10 /zm. SynChropak CATSEC supports are available in four pore diameters. Table 10.1 details the physical characteristics of the product lines. 

The neutral hydrophilic surface and the wide range of pore diameters available for SynChropak GPC allow many compounds from small peptides to nucleic acids and other polymers to be analyzed. Table 10.2 lists the approximate exclusion limits for both linear and globular solutes. Although this information... 

Generally, size exclusion chromatography is carried out using columns with an internal diameter of 7.8 mm. However, some SEC applications require the use of expensive solvents. For this purpose, size exclusion columns with a smaller internal diameter (4.6 mm) have been developed. Of course one should use proportionally lower flow rates with narrow-bore columns. If the standard column size uses a flow rate of 1 ml/min, then the smaller 4.6-mm columns should be used at a flow rate of 0.35 ml/min. This provides the same linear velocity as 1 ml/min on 7.8-mm columns. The decreased flow rate reduces solvent consumption and solvent disposal cost. The performance of the smaller diameter columns is not compromised if properly optimized instrumentation is used. 

The elution of such gels is an example not of size exclusion but rather of hydrodynamic fractionation (HDF). However, it must be remembered that merely being able to physically fit an insoluble material through the column interstices is not the only criterion for whether the GPC/HDF analysis of an insoluble material will be successful. A well-designed HDF packing and eluant combination will often elute up to the estimated radius in Eq. (5), but adsorption can drastically limit this upper analysis radius. For example, work in our laboratory using an 8-mm-bead-diameter Polymer Laboratories aqueous GPC column for HDF found that that column could not elute 204 nM pSty particles, even though Eq. (5) estimates a critical radius of —1.5 jam. 

Porin and Bacterial Source Pore Diameter (nm) Mj. Exclusion Limit... 

Although zinc has an appreciable vapour pressure at the temperatures of treatment, it is unlikely that zinc vapour plays any significant part in the diffusion process and it is generally accepted that the mechanism relies almost exclusively on intimate contact of hnely divided zinc dust with the steel surface. In spite of this requirement, coatings of even thickness and composition are obtained on the most intricate shapes, on fine threads, inside blind holes, and in the bore of small-diameter tubes. Large articles of uniform section, e.g. rods, tubes, etc. can be coated by this process. 

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