Size and shape, measurement

A basic treatment of bio-images can be proposed. Its main objective is to reduce the total amount of information contained in the gray-level or color images to focus the quantification on the key features the result of this treatment will be a binary image containing only the silhouettes of the cells of interest (their pixel values are set to 1) and the background (its pixel values are set to 0). The size and shape measurements will be later conducted on these silhouettes, and the densitometric or color analysis will use them as masks to consider only the regions of interest. 

Shapespeare Corporation s Juliet features single particle size and shape measurement together with fractal analysis as well as conventional classical measurements. It also measures size and shape distributions for sets of particles with image manipulation and data graphing capability. 

Higgins M. D. (1996b) Magma dynamics beneath Kameni volcano, Thera, Greece, as revealed by crystal size and shape measurements. J. Volcanol. Geotherm. Res. 70, 37-48. 

It is relatively straightforward to detemiine the size and shape of the three- or two-dimensional unit cell of a periodic bulk or surface structure, respectively. This infonnation follows from the exit directions of diffracted beams relative to an incident beam, for a given crystal orientation measuring those exit angles detennines the unit cell quite easily. But no relative positions of atoms within the unit cell can be obtained in this maimer. To achieve that, one must measure intensities of diffracted beams and then computationally analyse those intensities in tenns of atomic positions. 

Dielectric strength is measured by determining the minimum voltage which will puncture a sample of known thickness placed between electrodes of specified size and shape. Because both the magnitude and duration of the appHed voltage influence the results, this property can be measured in three ways. 

The most commonly measured pigment properties ate elemental analysis, impurity content, crystal stmcture, particle size and shape, particle size distribution, density, and surface area. These parameters are measured so that pigments producers can better control production, and set up meaningful physical and chemical pigments specifications. Measurements of these properties ate not specific only to pigments. The techniques appHed are commonly used to characterize powders and soHd materials and the measutiag methods have been standardized ia various iadustries. 

Important physical properties of catalysts include the particle size and shape, surface area, pore volume, pore size distribution, and strength to resist cmshing and abrasion. Measurements of catalyst physical properties (43) are routine and often automated. Pores with diameters <2.0 nm are called micropores those with diameters between 2.0 and 5.0 nm are called mesopores and those with diameters >5.0 nm are called macropores. Pore volumes and pore size distributions are measured by mercury penetration and by N2 adsorption. Mercury is forced into the pores under pressure entry into a pore is opposed by surface tension. For example, a pressure of about 71 MPa (700 atm) is required to fill a pore with a diameter of 10 nm. The amount of uptake as a function of pressure determines the pore size distribution of the larger pores (44). In complementary experiments, the sizes of the smallest pores (those 1 to 20 nm in diameter) are deterrnined by measurements characterizing desorption of N2 from the catalyst. The basis for the measurement is the capillary condensation that occurs in small pores at pressures less than the vapor pressure of the adsorbed nitrogen. The smaller the diameter of the pore, the greater the lowering of the vapor pressure of the Hquid in it. 

The behavior of binary hqnid solutions is clearly displayed by plots of M, AM, and In % vs. X at constant T and P. The vohime change of mixing (or excess vohime) is the most easily measured of these quantities and is normally small. However, as illustrated by Fig. 4-1, it is subject to individiiahstic behavior, being sensitive to the effects of molecular size and shape and to differences in the nature and magnitude of intermoleciilar forces. 

The sizes and shapes of impact craters are easily measured at leisure after the impact event. The particles of a debris cloud can present more of a problem, however, because of the difficulty of recovering the particles without damaging them during the recovery process. Attempts at soft recovery have been numerous and of varying degress of success. Occasionally, it has been desir-... 

The distance matrix A, which holds the relative distances (by whatever similarity measure) between the individual confonnations, is rarely informative by itself. For example, when sampling along a molecular dynamics trajectory, the A matrix can have a block diagonal form, indicating that the trajectory has moved from one conformational basin to another. Nonetheless, even in this case, the matrix in itself does not give reliable information about the size and shape of the respective basins. In general, the distance matrix requires further processing. 

The energy stored on a conductor can readily be calculated from the object s capacitance and voltage (C-1.2). The capacitance may be directly measured using a capacitance bridge or may be estimated from the object s size and shape. A-4-1.3 gives some capacitances of common objects. 

The simplest diffraction measurement is the determination of the surface or overlayer unit mesh size and shape. This can be performed by inspection of the diffraction pattern at any energy of the incident beam (see Figure 4). The determination is simplest if the electron beam is incident normal to the surface, because the symmetry of the pattern is then preserved. The diffraction pattern determines only the size and shape of the unit mesh. The positions of atoms in the surface cannot be determined from visual inspection of the diffraction pattern, but must be obtained from an analysis of the intensities of the diffracted beams. Generally, the intensity in a diffracted beam is measured as a fimction of the incident-beam energy at several diffraction geometries. These intensity-versus-energy curves are then compared to model calculations. ... 

In the production of particleboards, mixtures of particles are often used as raw material. The particles differ in size and shape. A particle size distribution can be done by screening, and two of the three dimensions of the particle must be smaller than the standard measure of the screen to be passed. An exact screening of the particles to their size is only possible for rather similar shapes. Particles, however, can widely differ in shape. For a simplifying description, the shape is assumed as a flat square of length I, width b and thickness d for medium and coarse particles and cubic for the fines. The mechanical screens are graded in... 

A difficulty that should not be overlooked is that airborne particulates are rarely homogeneous. They vary greatly in size and shape, and their chemical composition is determined by factors specific to the source and location of the emissions. The combined effects and interactions of various substances mixed with particulates have not yet been established (except for sulfur dioxide), but they are believed to be significant, especially where long-term exposure occurs. Measurement techniques and their reliability may vary across regions and countries, and so may other factors, such as diet, lifestyle, and physical fitness, that influence the human health effects of exposure to particulates. 

The measurement range of a thermistor is dependent on the probe type, typically -100 to +300 °C. The stability is not as good as that of metallic resistances. Thermistors are not standardized like some of the metallic probes. The thermistor has the advantage of a high change of the resistance with temperature. A very wide variety of sizes and shapes and a low price makes them attractive in relation to the metrological performance. 

Crystals are ubiquitous. They vary enormously in form, size and shape, partly refleeting their internal strueture, partly their growth history. Partiele size and shape are quantified by use of eharaeteristie dimensions and shape faetors that, in eombination, permit ealeulation of important properties sueh as partiele volume (mass) and surfaee area. Relating them to the shape of ideal partieles, e.g. the sphere often approximates real partieles. Similarly, the size of a mass of partieles ean be expressed in terms of a eharaeteristie mean and spread. The voidage of a mass of partieles is influeneed by both these quantities. It will be shown in subsequent ehapters that these partiele eharaeteristies ean have a determining effeet on both their proeessing behaviour and properties in appli-eation. They are therefore very important for the proeess engineer or seientist to measure, prediet and eontrol in a partieulate erystallization proeess system. 

Hydrodynamic volume refers to the combined physical properties of size and shape. Molecules of larger volume have a limited ability to enter the pores and elute the fastest. A molecule larger than the stationary phase pore volume elutes first and defines the column s void volume (Vo). In contrast, intermediate and smaller volume molecules may enter the pores and therefore elute later. As a measure of hydrodynamic volume (size and shape), SE-HPLC provides an approximation of a molecule s apparent molecular weight. For further descriptions of theoretical models and mathematical equations relating to SE-HPLC, the reader is referred to Refs. 2-5. 

In preliminary tests, melt mixed blends of PP and LCP were processed at six different temperatures (Tcyi 230, 240, 250, 260, 270, and 280°C) with a Brabender Plasti-Corder PLE 651 laboratory single-screw extruder. The measured melt temperatures were about 10°C higher than the cylinder temperatures (Tcyi). The objective was to study the influence of temperature on the size and shape of the dispersed LCP phase. Two different polypropylenes were used to ascertain the effect of the viscosity of the matrix on the final morphology. Different draw ratios were obtained by varying the speed of the take-up machine. 

The relative magnitude of these two activation free energies determines the size and shape of the critical nucleus, and hence of the resulting crystal. If sliding diffusion is easy then extended chain crystals may form if it is hard then the thickness will be determined kinetically and will be close to lmin. The work so far has concentrated on obtaining a measure for this nucleus for different input parameters and on plotting the most likely path for its formation. The SI catastrophe does not occur because there is always a barrier against the formation of thick crystals which increases with /. 

Mass loss determinations refer to the total change resulting from reactant decomposition and usually include contributions from a mixture of product compounds, some of which would normally be condensed under conditions used for accumulatory pressure measurements. Such information concerned with the overall process is, however, often usefully supplemented by evolved gas analyses (EGA) using appropriate analytical methods. Sestak [130] has made a detailed investigation of the effects of size and shape of reactant container on decomposition kinetics and has recommended that the sample be spread as a thin layer on the surfaces of a multiple plate holder. The catalytic activity of platinum as a reactant support may modify [131] the apparent kinetic behaviour. 

Elastomer samples are cast in molds, the size and shape of which depend on its purpose. Samples for physical properties can be produced using a custom-made book mold designed to create a thin sheet (0.1 in.) containing premolded test parts, such as those for die-C tear, flexural modulus, and so on. Alternatively, a flat plaque mold may be used to create a 6 x 6 x 0.1-in. sheet from which may be cut samples for testing. Thicker samples for hardness measurements may... 

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