Single-step method

Figure 1.24 A two-step protocol using a homobifunctional crosslinking agent offers more control than single-step methods, but still may result in oligomer formation.

Single-Step Method for Enantiomeric Excess Determination of Amino... 

Observations This group has developed a single-step method for preparing ester-grafted... 

Single-step methods for preparing lH-thieno[imidazole] derivatives are described by the authors (1) in a subsequent investigation and illustrated for lH-thieno-[3,4-d]l,3-dioxolan-2-one, (I), in Eq. (1). 

Research Focus Single-step method for preparing linear multifunctional copolyolefin imides. 

Bunce, N. I, Forber, C. L., and Mclnnes, C. (1988), Single-step methods for calculating activation parameters from raw kinetic data, J. Chem. Soc. Perkin Trans., II, 363-368. 

Chomczynski, P and Sacchi, N (1987) Single-step method of RNA isolation by acid guanidimum thiocyanate phenol chloroform extraction Anal Biochem 162, 156-159... 

N. S. Flinn, M. Quibell, T. P. Monk, K. Ramjee, and C. J. Urch, A single-step method for the production of sugar hydrazides Intermediates for the chemoselective preparation of glyco-conjugates, Bioconjugate Chem., 16 (2005) 722-728. 

A convenient single-step method for the preparation of diaryl tellurium dicarboxylates in 82 to 92% yields involves the reactions of the diaryl tellurium with hydrogen peroxide and carboxylic acids2,3. The reaction probably proceeds via diaryl tellurium oxides as intermediates. Carboxylic acid anhydrides can be used instead of the carboxylic acids. 

Conventionally, molecular uptake is recorded gravi-metrically [18-20]. Alternatively, for a limited supply of adsorbate, molecular uptake may also be calculated from a knowledge of the time dependence of the pressure (piezometric method [21, 22]) or composition of the gas phase. Changing the sorbate pressure by a step change of the gas volume has proved to be a very efficient method for following fast sorption processes (single step method [23, 24]). The sorption uptake may also be measured volumctrically by mans of a gas burette arrangement [25]. 

Mediated oxidation with conventional anodic materials has already been applied using a cell in which direct and mediated oxidation occurs. It is important to note that the objective when using conventional anodic materials was to improve the low oxidative action of these anodes, not to improve the mass-transfer limitation found with BDD anodes. Consequently, it is not taken for granted that the single-step method is the most suitable one. 

In the single-step method, both production of persulfate and oxidation of organic pollutants occur at the same temperature. Operating at a high temperature, the mediated oxidation rate is high but little persulfate is produced, while at a low temperatures more persulfate is produced but the mediated oxidation rate is low. In this single-step case, the temperature is the most important treatment parameter. 

Chomczynski P, Sacchi N (1987) Single-step method of RNA isolation by acid guanidinium thiocyanate-phenol-chloroform extraction. Anal Biochem 162(1) 156—159 Liu CH, Ma WL, Shi R, Zhang B, Ou YQ, Zheng WL (2003) Gene expression study of saccaromyces cerevisiae with the Agilent 2100 Bioanalyser. Br J Biomed Sci 60(l) 22-25... 

A single-step method for preparing polybenzoxazole adhesives is described. These agents are particularly useful in the semiconductor industry for chip and wafer stack applications. 

A high-yielding single step method for preparing poly(9-fluroenone) by electrolyti-cally polymerizing fluorene in the presence of propylene carbonate and lithium hexafluorophosphate is described. 

A single step method for preparing other Step 4 perfluoroalkoxy-oxetane derivatives is illustrated in Fq. 1 and discussed (1). 

A single step method for preparing (E)-a,/3-unsaturated sulfones using 2-(phenylsulfonyl)ethanol is illustrated in Eq. 2 and described (3). 

The single-step methods utilize the information at a single point on the solution curve to compute the next point. These methods are derived by use of low order quadrature formulas. 

These include a method for making a product, comprising the steps of... a method of using a specified or known material, comprising the steps of. .. recitation of at least one step required and a single step method claim is proper. 

Runge-Kutta-Gill method is the most widely used single-step method for solving ordinary differential equations. 

The primary advantage of the single-step methods is that they are self starting. We can also vary the step sizes. In contrast, the multistep methods require a single-step formula to start the calculations. Step size variation is difficult. However, the efficiency of both the Milne s and Adams-Moulton methods is about twice that of the single-steps methods. We need two function evaluations per step in the former while four or five are required with the single step. 

---