Static measurements

Advantages. The experiment can be carried out with a conventional fast-spuming MAS probe so that it is straightforward to implement. For recording the satellite transition lineshapes it offers better signal-to-noise and is less susceptible to deadtime effects than static measurements. As the effects differ for each value, a single satellite transition experiment is effectively the same as carrying out multiple field experiments on the central transition. 

Flinn et al. [30] describes an experimental impact technique in which <100)-oriented LiF single crystals ( 8 ppm Mg) are loaded in a controlled manner and the multiplication of screw dislocations is measured. The peak shear stress in this relatively soft material is 0.01 GPa. For shear impulses exceeding approximately 40 dyne s/cm, dislocation multiplication is adequately described by the multiple-cross-glide mechanism [(7.24)] with m = l/bL = (2-4) X 10 m, in reasonable agreement with quasi-static measurement [2]. 

Quasi-static measurements force-distance curves and adhesion... 

Forced expiration is commonly used to assess pulmonary function in both healthy and impaired individuals. Static measures of lung volumes (TLC, Vj, FRC) fail to detect dynamic changes in pulmonary function that are attributable to disease (e.g., asthmatic airway constriction). Obtaining maximum expiratory flow-volume (MEFV) curves (Fig. 5.21) permits derivation of key parameters in detecting changes in lung function. 

Pattern Entropy The pattern entropy, S-p, is a purely static measure, and is defined by... 

In the sections below, we outline eight measures of complexity four of them are static measures, four are dynamic. Table 12.1 summarizes some their main virtues and drawbacks. The fact that we chose to limit our discussion to these eight particular measures should in no way be misunderstood to mean that we believe they are the only ones possible, as they represent only a small sampling of recent proposals. Discussions of other measures, and of their respective pros and cons relative to given problems, can be obtained by consulting any of the references listed in the Further Reading section above (see section 12.1.1). 

Casti [casti92] introduces a (static) measure of complexity, K C), for a complex C satisfying the following three complexity axioms (i) the complexity of a complex... 

The extrapolation of curves such as shown in Figure 11 to E = 0 gives the surface tension at or above the CMC as it would have been obtained by a static measurement. The CMC for this C14-Ci6 AOS is 0.2% and its minimum surface tension is 35.1 dyne/cm. 

All MC-ICPMS instruments are equipped with a multiple Faraday collector array oriented perpendicular to the optic axis, enabling the simultaneous static or multi-static measurement of up to twelve ion beams. Most instruments use Faraday cups mounted on motorized detector carriers that can be adjusted independently to alter the mass dispersion and obtain coincident ion beams, as is the approach adopted for MC-TIMS measurement. However, some instruments instead employ a fixed collector array and zoom optics to achieve the required mass dispersion and peak coincidences (e.g., Belshaw et al. 1998). 

A. Stationary (mostly pseudo-stationary) methods -+ static measurement B. Non-stationary methods -> dynamic measurement ... 

Static measurements (stationary solution). After a coulometric pulse of specific magnitude, the resulting pH step is measured. Repeating the experiment with different pulses allows the construction of the titration curve. 

By equating the vertical component of the yield stress over the surface of the sphere to the weight of the particle, a critical value of = 0.17 is obtained (Chhabra, 1992). Experimentally, however, the results appear to fall into groups one for which F(i fa 0.2 and one for which F(i fa 0.04—0.08. There seems to be no consensus as to the correct value, and the difference may well be due to the fact that the yield stress is not an unambiguous empirical parameter, inasmuch as values determined from static measurements can differ significantly from the values determined from dynamic measurements. 

The compact can either be saturated with the fluid for static measurements or dynamic measurements may be made through a computer imaging goniometer which takes successive images of the drop profile. 

As a result of sensor development in the automotive industry, low-priced acceleration sensors are now available. Acceleration sensors are fundamentally also suited to observing excursion (Fig. 5.57) of the suds container caused by imbalance. However, static measurement of the weight of the washing, as achieved with a distance sensor, is not possible with acceleration sensors. 

Luminescence is often much more sensitive to molecular dynamics than other optical techniques where temperature, viscosity, pH and solvent effects can have a significant influence on the emission response. Analyte degradation for light sensitive fluors and photobleaching for static measurements also influence the emission signal. Because of the wide variety of potential matrix effects, a thorough investigation should be conducted or the sample matrix well understood in terms of its potential impact on emission response. A complete discussion on the fate of the excited states and other measurement risk considerations can be found elsewhere. ... 

At-line LIF methods are either based on intrinsic detection or extrinsic approaches. The former often involves static measurements which are prone to photobleaching and thermal effects. These problems can often be addressed by optimizing the excitation source output (i.e., optical power and pulse rate) or by sample agitation. Flow injection analysis or other autonomous sample prepreparation schemes are possible to facilitate various at-line extrinsic methods such as various selective fluoroimmunoassays. ... 

From equations 13 16, the standard error for each measurement as a function of the elution time can be obtained. Additional propagation of these errors through the Integration across the chromatogram results in estimates of the errors associated with the SEC calculation of the average polymer properties. Therefore, it enables reliable statistical comparisons between SEC estimates and static measurements... 

In thip appendix, a summary of the error propagation equations and objective functions used for standard characterization techniques are presented. These equations are Important for the evaluation of the errors associated with static measurements on the whole polymers and for the subsequent statistical comparison with the SEC estimates (see references 26 and 2J for a more detailed discussion of the equations). Among the models most widely used to correlate measured variables and polymer properties is the truncated power series model... 

There are two main sources of error propagation in static measurements, errors due to successive dilutions and errors due to initial instrument offset. Other errors which are also applicable to SEC analysis are discussed in (J ). These errors can be propagated using the criteria presented here. If w is the intial mass of polymer and Vj is the amount of solvent added to obtain the desired concentration Ci, the dilution process can be represented by the following set of equations ... 

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