Hill behavior

As stated earlier. Hill behavior means that 5f-5f overlap is the decisive feature. Hence, one would not expect to find a similarly strong volume dependence of hyperfine parameters in a corresponding lanthanide series. This is evident in fig. 37, which shows a plot similar to that of fig. 36 for the DyX2 series. Here, is independent of the lattice constant and always equal to the free-ion value as is typical for localized behavior. 

We have reviewed several series of intermetallics with different structures, concentrating on cubic compounds. Their properties range from typical Hill behavior, i.e., a strong dependence on the separation of neighboring actinide ions, via pronounced dependencies on the chemical nature of ligands, to a more lanthanide-like independence of either the two influences. But the fully developed lanthanide behavior, in which for example, the magnetic properties are close to that of the free ion, is rare in Np materials. 

Note that the lamina failure criterion was not mentioned explicitly in the discussion of Figure 4-36. The entire procedure for strength analysis is independent of the actual lamina failure criterion, but the results of the procedure, the maximum loads and deformations, do depend on the specific lamina failure criterion. Also, the load-deformation behavior is piecewise linear because of the restriction to linear elastic behavior of each lamina. The laminate behavior would be piecewise nonlinear if the laminae behaved in a nonlinear elastic manner. At any rate, the overall behavior of the laminate is nonlinear if one or more laminae fail prior to gross failure of the laminate. In Section 2.9, the Tsai-Hill lamina failure criterion was determined to be the best practical representation of failure... 

Patankar, S. V., and D. B. Spalding. 1974. A calculation procedure for the transient and steady-state behavior of shell-and-tube heat exchangers. In N. H. Afgan and E. V. Schliinder (eds.). Heat Exchangers Design and Theory Sourcebook. New York McGraw-Hill, pp. 155-176. 

Archibald Hill demonstrated in 1913, well before any knowledge about the molecular organization of Hb existed, that the 02-binding behavior of Hb could be described by Equation (A15.12). If a value of 2.8 is taken for Equation (A15.12) fits the experimentally observed 02-binding curve for Hb very well (Figure A15.4). If the binding of O2 to Hb were an all-or-none phenomenon. 

The theory of linked functions establishes the general thermodynamic meaning of the cooperative behavior of the system. On the basis of Hill s equation,... 

Hill JW, Cuculo JA (1976) In Elongational flow behavior of polymeric fluids, Rev in Macromol Chem 14 B, Marcel Dekker, New York, p 143... 

The Hill Equation Describes the Behavior of Enzymes That Exhibit Cooperative Binding of Substrate... 

Thomas RG. 1982. Volatilization from water. In Lyman WJ, Reehl WF, Rosenblatt DH, eds. Handbook of chemical property estimation methods Environmental behavior of organic compounds. New York McGraw Hill Book Co., Ch. 15. 

S. Siegel. Nonparametric Statistics for the Behavioral Sciences. McGraw-Hill, Tokyo, 1956. 

FIGURE 32-2. Treatment algorithm for Alzheimer s disease. A. Cognitive treatment. B. Treatment of psychiatric or behavioral symptoms. AD, Alzheimer s disease MMSE, Mini Mental Status Examination NINCDS-ADRDA National Institute of Neurological and Communicative Disorders and Stroke/Alzheimer s Disease and Related Disorders Association. (From Faulkner JD, Bartlett J, Hicks P. Alzheimer s disease. In DiPiro JT, Talbert RL, Yee GC, et al, (eds.) Pharmacotherapy A Pathophysiologic Approach. 6th ed. New York McGraw-Hill 2005 1164, with permission.)... 

Hill, R.E., Retention behavior of a bonded reversed phase in high performance liquid chromatographic assay of serum theophylline, J. Chromatogr., 135,419,1977. 

To account for differences in the Hill coefficient, enzyme inhibition data are best ht to Equation (5.4) or (5.5). In measuring the concentration-response function for small molecule inhibitors of most target enzymes, one will hnd that the majority of compounds display Hill coefficient close to unity. However, it is not uncommon to hnd examples of individual compounds for which the Hill coefficient is signihcandy greater than or less than unity. When this occurs, the cause of the deviation from expected behavior is often reflective of non-ideal behavior of the compound, rather than a true reflection of some fundamental mechanism of enzyme-inhibitor interactions. Some common causes for such behavior are presented below. 

Scow, K.M., Rate of biodegradation, in Handbook of Chemical Property Estimation Methods Environmental Behavior of Organic Compounds, Lyman, W. J., Reehl, W.F., and Rosenblatt, D.H., Eds., McGraw-Hill, New York, 1982, pp. 9-1-9-85. 

Rummo JH. 1974. Intellectual and behavioral effects of lead poisoning in children. Chapel Hill, NC University of North Carolina. University Microfilms, Ann Arbor MI, Publication No. 74-26-930. 

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