Ackers equation

Acetylene compounds, D-glucopyranosyla-tion of, 242 Ackers equation, 25 Acrylamide polymers, gels in chromatography, 14 fractionation ranges of, 19 Acylation, selective, of anhydroalditols, 262 Agar... 

Note that the transposes of the partitioned matriees Aie and Age from equation (8.i63) are used in acker to eaieuiate Kg for the redueed-order state observer. The eommand window output is... 

While the calibration curves presented in Figure 1 provide an adequate treatment of gel permeation calibration data, they are nonlinear in the extremes of the useful calibration regions. Two methods of data treatment may be used to provide linear representations of gel filtration results. These methods substantially increase the usefulness of the technique. The equations for these methods, developed by Porath (8) and Ackers (9), are as follows ... 

The fractional saturation of tetramer YT and the fractional saturation of dimer YD are functions only of [02] at specified T, P, pH, etc., as shown by equations 7.1-18 and 7.3-6. However, since the tetramer form is partially dissociated into dimers, the fractional saturation of heme Y is a function of both [02] and [heme]. Ackers and Halvorson (1974) derived an expression for the function Y([02], [heme]). When Legendre transforms are used, a simpler form of this function is obtained, and it can be used to derive limiting forms at high and low [heme]. These limiting forms are of interest because they show that if data can be obtained in regions where Y is linear in some function of [heme], extrapolations can be made to obtain YT and YD. These fractional saturations can be analyzed separately to obtain the Adair constants for the tetramer and the dimmer (Alberty, 1997a). 

At specified [02], Y is a function only of [heme] in a way that is described by three parameters, Tt, Fd, and K". This equation is the same as that derived by Ackers and Halvorson (1974), although it has a rather different form. 

There are several studies that have been successful in determining the dissolution rate at conditions near seawater saturation. Acker et al. (1987) was able to employ very precise determinations of pH to measure the rate of dissolution of a single pteropod shell at different pressures from 15 atm to 300 atm. Because his measurements were at different pressures and is a function of pressure, he was able to determine whether the rate constant is indeed a function of K p. He found that Equation (9) fit his data better than (10), suggesting that the constant is not pressure dependent and the former is a more accurate universal rate law. An exponent oin= 1.9 was obtained for this surface-controlled dissolution reaction and a partial molal volume. Ay, of —39 cm mol (very close to the mean of the values determined in laboratory experiments for calcite) best fit the data. 

TiBe2 has the C15 cubic Laves phase structure and is an itinerant antiferromagnet with a Neel temperature near 10 K and a magnetic moment of 1.64jub. The Laves phase can be maintained when Cu is substituted for Be over the range 0 < x < 0.5 and a transition to ferromagnetism is observed at xcrit 0.115 (Acker et al. 1981) near which the SEW behaviour, i.e. the Landau parameter in the magnetic equation of state... 

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