Cottrell analysis

Messerschmitt, F., Kubicek, M., Schweiger, S., and Rupp, J.L.M. (2014) Memristor kinetics and diffusion characteristics for mixed anionic-electronic SrTiOs-s bits the memristor-based Cottrell analysis connecting material to device performance. Adv. Fund. Mater., 24, 7448-7460. 

Lin C, Lin K, Luong YP, Rao BG, Wei YY, Brennan DL, Fulghum JR, Hsiao HM, Ma S, Maxwell JP, Cottrell KM, Pemi RB, Gates CA, Kwong AD (2004) In vitro resistance studies of hepatitis C virus serine protease inhibitors, VX-950 and BILN 2061 structural analysis indicates different resistance mechanisms. J Biol Chem 279 17508-17514... 

Cottrell, J.S. Evans, S. The Application of a Multichannel Electro-Optical Detection System to the Analysis of Large Molecules by FAB-MS. Rapid Commun. Mass Spectrom. 1987, 7, 1-2. 

CA 48, 3691(1954) (Application of Cottrell-Paterson equation of state to oxygen-deficient expls like TNT) 8b) A.K. Oppenheim, "Gasdynamic Analysis of the Development of Gaseous Detonation and Its Hydraulic Analogy , 4thSympCombstn(1953), p 472 (Hugoniot and Rankine-Hugoniot equations)... 

Mock KK, Davey M, Cottrell JS (1991) The analysis of underivatised oligosaccharides by matrix-assisted laser desorption mass spectrometry. Biochem Biophys Res Commun 177 644-651... 

The product D0 (dCo/dx)x=0 t is the flux or the number of moles of O diffusing per unit time to unit area of the electrode in units of mol/(cm2 s). (The reader should perform a dimensional analysis on the equations to justify the units used.) Since (3Co/3x)x=01 is the slope of the concentration-distance profile for species O at the electrode surface at time t, the expected behavior of the current during the chronoamperometry experiment can be determined from the behavior of the slope of the profiles shown in Figure 3. IB. Examination of the profiles for O at x = 0 reveals a decrease in the slope with time, which means a decrease in current. In fact, the current decays smoothly from an expected value of oo at t = 0 and approaches zero with increasing time as described by the Cottrell equation for a planar electrode,... 

In the world of numerical analysis, one distinguishes formally between three kinds of boundary conditions [283,528] the Dirichlet, Neumann (derivative) and Robin (mixed) conditions they are also sometimes called [283,350] the first, second and third kind, respectively. In electrochemistry, we normally have to do with derivative boundary conditions, except in the case of the Cottrell experiment, that is, a jump to a potential where the concentration is forced to zero at the electrode (or, formally, to a constant value different from the initial bulk value). This is pure Dirichlet only for a single species simulation because if other species are involved, the flux condition must be applied, and it involves derivatives. Therefore, in what follows below, we briefly treat the single species case, which includes the Cottrell (Dirichlet) condition as well as derivative conditions, and then the two-species case, which always, at least in part, has derivative conditions. In a later section in this chapter, a mathematical formalism is described that includes all possible boundary conditions for a single species and can be useful in some more fundamental investigations. 

So far, the analysis has been for the Cottrell method. It is of interest to see how it changes for derivative boundary conditions. This only changes a single line in the discrete system of equations. For constant current, for example, we might use a two-point expression... 

Cottrell, M. T., and Kirchman, D. L. (2004). Single-cell analysis of bacterial growth, cell size, and community structure in the Delaware River estuary. Aquat. Microb. Ecol. 34, 139—149. 

A.R. Woolfitt, C.A.J. Harbach, LC-MS analysis of an enkephalin mixture using an AutoSpec dynamic LSIMS interface. Rapid Commun. Mass Spectrom., 7 (1993) 176. A.E. Ashcroft, J.R. Chapman, J.S. Cottrell, Cf-FAB-MS, J. Chromatogr., 394 (1987) 15. 

K. Mock, J. Firth, J.S. Cottrell, Application of on-line Cf-FAB HPLC-MS to the analysis of enzymatic digests of ribonuclease B, Org. Mass Spectrom., 24 (1989) 591. 

Ashford, M. Kerry, C.J. Kits, K. Ramsey, R.L., Sansom, M.S.P. Usherwood, P.N.R. "Kinetic analysis of channels gated by glutamate receptors in locust muscle membrane" Cottrell, G. Ed. The in vitro synpase, St. Andrews University Press 1984, p.14-15. 

The analysis of chronoamperometry data is based on the Cottrell equation, which defines the current-time dependence for linear diffusion control ... 

The analysis and methodology for the extraction of characteristic parameters obtained from cyclic voltammograms is shown in Fig. II. 1.9b. A zero current line for the forward scan data has to be chosen (dashed line) as baseline for the determination of the anodic peak current. For the reverse sweep data the extended forward scan (dashed line with Cottrell decay) is folded backwards (additionally accounting for capacitive current components) to serve as the baseline for the determination of the... 

Perkins, D.N., Pappin, D.J.C., Creasy, D.M., Cottrell, J.S. (1999) ProbabUity-based protein identification by searching sequence databases using mass spectrometry data. Electrophoresis, 20 (18), 3551-3567. Silva, J.C., Denny, R., Dorschel, C., et al. (2006) Simultaneous qualitative and quantitative analysis of the Escherichia coli proteome-A sweet tale. Molecular and Cellular Proteomics, 5 (4), 589-607. 

ORNL (1965) US reactor containment technology , (2 vols), ORNL-NSIC-5, A compilation of current practice in analysis, design, construction, test and operation, Wm.B. Cottrell and A.W. Savolainen Editors, Oak Ridge National Laboratory, Oak Ridge, Tenn. USA. 

J. S. Cottrell and S. Evans, Characteristics of microchannel electrooptical detection system and its application to the analysis of large molecules by fast atom bombardment mass spectrometry. Anal. Chem. 59, 1990-1995 (1987). 

Normal-pulse voltammetry consists of a series of rectangular pulses with increasing amplitude (Fig. 2). The potential between the pulses is chosen so that no reaction occurs. The currents are measured just before the end of the pulses to suppress effects of interface charging. The analysis follows the Cottrell equation. 

FIGURE 1.50. Cottrell-type analysis for chronoamperometry at electroactive polymer-coated ultramicro disk electrodes. 

The Cottrell equation assumes that planar diffusion is the only contribution to the overall current. However, purely planar diffusion is only achievable with very large electrodes or with shielded electrodes. The current measured with small, unshielded electrodes can exhibit appreciable edge effects, resulting in positive deviations from the Cottrell equation and thus positive errors in the diffusion coefficient. Edge effects are normally manifested at long times (i.e., small values of The presence of convection at long times will also be evidenced by a positive deviation of the current. For these reasons, only those data points from the linear portion of the i vs. t curve should be used for the analysis of D. 

Cottrell, J.S. Evans, S. Characteristics of a Multichannel Electrooptical Detection System and Its Application to the Analysis of Laige Molecules by Fast Atom Bombardment Mass Spectrometry. Anal. Chem. 1987,59, 1990-1995. 

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