## Multicomponent chromatography: theory of interference |

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This is a comprehensive textbook. Fred Helfferich, the coauthor, developed the theory independently from the mathematical theory of shock waves. The latter has -in my view very well- been presented by Peter Lax in "Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves", Society for Industrial and Applied Mathematics, Philadelphia, PA, 1973. I found it easier to understand the basics of Helfferich's excellent book by first reading Lax's presentation.

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A-space abrupt influent composition absent adjusted velocities affinity cut base influent behavior boundaries or pulses bulk species calculated Chapter Chem coherence condition coherent boundaries common planes composition paths composition point composition route composition variations composition velocity concentration profiles concentration velocity constant pattern constant separation factors crossover derived direction of flow displacement development distance-time diagram eigenvalues equations equilibrium properties final pattern flat-top flow rate function roots Gas Chromatography h transformation hyperplane index numbers infinitesimal influent composition changes influent pulse interference intersection ion exchange isotherm maxima and minima mobile phase multicomponent noncoherent boundary nonsharpening boundaries path grid plateau zone premises present treatment readily response pattern response pulses reversal root values root variations rules schematic Section self-sharpening boundaries sharp shown in Fig simplex sorbable species sorbent sorption species velocities stationary phase step velocity theories three-component system total concentration trace species trace-component systems trajectories transient variable root watershed