Mass maximum

Figure 3. Mass M versus radius R. On an enlarged scale the new additional local mass maximum is shown for neutron stars with a strange quark core. In the upper left corner of Fig. 3b, the phase transition area is shown for the whole set of EoS.

For catalyst systems for which a maximum in the dependence of molar mass is reported the molar mass maximum is often located at the same nx/ Nd-ratio as the activity maximum. This observation applies to NdzO/TIBA/DIBAC with maxima at ftci/nNd = 2.5-3.0 [160] and to NdzO/TEA/DEAC with a maximum at nci/n d = 2.5 [168]. For the catalyst system Nd OPr /DIBAH/ BuCl a maximum molar mass was obtained at ftci/ Nd whereas the activity maximum was at 3.0 [232]. For Nd OPr /MAO/ BuCl the maximum of molar mass and catalyst activity coincide at a very low ratio of ftci/nNd 0.5 [232]. 

Besides the overall composition of blends and random copolymers, valuable information can be obtained in the case of block copolymers. If a block copolymer contains a homopolymer fraction, a shoulder or second maximum in the MMD curve can be obtained that should have a different chemical composition. Figure 9 shows the MMD of a block copolymer of methyl methacrylate and decyl methacrylate, in which a second lower molar mass maximum can be identified as poly(decyl methacrylate) (PDMA) by dual detection [37]. The increase in the PDMA content with molar mass in the main fraction is reasonable and corresponds well with what is expected from the synthesis. It is worth noticing that this type of information can only be obtained by the D-RI detector combination, because both PDMA and PMMA have a similar low response in UV. 

Osteoporosis is a disablirtg disorder that is characterized by decreased borte strertgth, which predisposes patients to an increased risk of bone fracture. Peak bone mass (maximum bone strength and density) is normally attained by age 20-25. Age, race, sex, environment, and lifestyle factors such as physical activity and diet are important determinants of bone density. With the increase in age, the rate at which bone tissue is replaced is reduced in comparison to the rate at which it is lost, which increases the risk for fractures. 

Sample and Fraction Peak Mass—Maximum Intensity Upper Mass Limit... 

Sieve analysis > 30 sieve size, S % (mass) maximum ... 

The ability to identify different mass species depends on the energy resolution of the detector which is typically 15 keV fiill width at half maximum (FWFIM). For example, silver has a mass M2 = 108 and tin has a mass A , = 119. The difference between . = 0.862 and = 0.874 is 0.012. For 2 MeV helium ions the... 

The solution flow is nomially maintained under laminar conditions and the velocity profile across the chaimel is therefore parabolic with a maximum velocity occurring at the chaimel centre. Thanks to the well defined hydrodynamic flow regime and to the accurately detemiinable dimensions of the cell, the system lends itself well to theoretical modelling. The convective-diffiision equation for mass transport within the rectangular duct may be described by... 

It is a property of this family of differential equations that the sum or difference of two solutions is a solution and that a constant (including the constant i = / ) times a solution is also a solution. This accounts for the acceptability of forms like A (t) = Acoscot, where the constant A is an amplitude factor governing the maximum excursion of the mass away from its equilibrium position. The exponential form comes from Euler s equation... 

A gun is used to direct a beam of fast-moving atoms or ions onto the liquid target (matrix). Figure 4.1 shows details of the operation of an atom gun. An inert gas is normally used for bombardment because it does not produce unwanted secondary species in the primary beam and avoids contaminating the gun and mass spectrometer. Helium, argon, and xenon have been used commonly, but the higher mass atoms are preferred for maximum yield of secondary ions. 

A further consequence of the high temperatures is that much of the sample is simply evaporated without producing isolated positive ions. There is a competition between formation of positive ions and the evaporation of neutral particles. Since the mass spectrometer examines only isolated charged species, it is important for maximum sensitivity that the ratio of positive ions to neutrals be as large as possible. Equation 7.1 governing this ratio is given here. 

The efficiency of separation of solvent from solute varies with their nature and the rate of flow of liquid from the HPLC into the interface. Volatile solvents like hexane can be evaporated quickly and tend not to form large clusters, and therefore rates of flow of about 1 ml/min can be accepted from the HPLC apparatus. For less-volatile solvents like water, evaporation is slower, clusters are less easily broken down, and maximum flow rates are about 0.1-0.5 ml/min. Because separation of solvent from solute depends on relative volatilities and rates of diffusion, the greater the molecular mass difference between them, the better is the efficiency of separation. Generally, HPLC is used for substances that are nonvolatile or are thermally labile, as they would otherwise be analyzed by the practically simpler GC method the nonvolatile substances usually have molecular masses considerably larger than those of commonly used HPLC solvents, so separation is good. 

A considerable amount of time is necessary to reach the point at which sample analyses can commence, and it is essential that the stability and reliability of the mass spectrometer be high to ensure maximum sample throughput during the limited time available between calibration checta. 

In time-of-flight (TOF) mass spectrometers, a pulse of ions is accelerated electrically at zero time. Having attained a maximum velocity, the ions drift along the flight tube of the analyzer. The times of arrival of ions at a detector are noted. 

Resolving power (mass). The ability to distinguish between ions differing slightly in mass-to-charge ratio. It can be characterized by giving the peak width, measured in mass units, expressed as a function of mass, for at least two points on the peak, specifically for 50% and for 5% of the maximum peak height. 

Materials suitable as filter aids include diatomaceous earth, expanded perilitic rock, asbestos, ceUulose, nonactivated carbon, ashes, ground chalk, or mixtures of those materials. The amount of body feed is subject to optimisa tion, and the criterion for the optimisa tion depends on the purpose of the filtration. Maximum yield of filtrate per unit mass of filter aid is probably most common but longest cycle, fastest flow, or maximum utilisation of cake space are other criteria that requite a different rate of body feed addition. The tests to be carried out for such optimisation normally use laboratory or pilot-scale filters, and must include variation of the filtration parameters such as pressure or cake thickness in the optimisation. 

Since its conception, the dynamic filter has been widely reported and further developed. Most European designs are comprised of a multistage disk arrangement (Fig. 28) with both the rotating and stationary elements covered with filter cloth, thus utilising the space inside the pressure vessel. Such filters have been found (29) to be from 5 to 25 times more productive in mass of dry cake per unit area and time than filter presses for the same moisture content of the final slurry. In some cases, the moisture content with the dynamic filter was actually lower than with a filter press. The maximum productivity was achieved with peripheral disk speeds from 2.8 to 4.5 m/s. 

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