Open and Toroidal Electrophoresis

Open and Toroidal Electrophoresis
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Описание книги

Presents the theory and applications of Toroidal Capillary, Microchip, and Slab Electrophoresis to analytical chemists across a range of disciplines Written by one of the developers of Toroidal Capillary Electrophoresis (TCE), this book is the first to present this novel analytical technique, in detail, to the field of analytical chemistry. The exact expressions of separation efficiency, resolution, peak capacity, and many other performance indicators of the open and toroidal layouts are presented and compared. Featuring numerous illustrations throughout, Open and Toroidal Electrophoresis: Ultra-High Separation Efficiencies in Capillaries, Microchips and Slabs offers chapters covering: Solvents and Buffer Solutions; Fundamentals of Electrophoresis; Open Layout; and Toroidal Layout. Confronting Performance Indicators is next, followed by chapters on High Voltage Modules and Distributors; Heat Removal and Temperature Control; and Detectors. The book finishes with an examination of the applications of Toroidal Electrophoresis. The first book to offer a detailed account of Toroidal Electrophoresis—written by one of its creators Compares the toroidal layouts with the well-established open layouts of the three most used platforms (Capillary, Microchip, and Slab) Provides solutions to many of the experimental issues arising in electromigration techniques and discusses the voltage distributors and detectors that are compatible with the toroidal layouts Richly illustrated with a large number of useful equations showing the relationships between important operational parameters and the performance indicators  Open and Toroidal Electrophoresis is aimed at method developers and separation scientists working in clinical analysis, and food analysis, as well as those in pharmacology, disease biomarker applications, and nucleic acid analysis using the Capillary, Microchip, or slab Platform. It will also benefit undergraduate and graduate students of inorganic analytical chemistry, organic analytical chemistry, bioanalysis, pharmaceutical sciences, clinical sciences, and food analysis.

Оглавление

Tarso B. Ledur Kist. Open and Toroidal Electrophoresis

Table of Contents

List of Tables

List of Illustrations

Guide

Pages

Open and Toroidal Electrophoresis. Ultra-High Separation Efficiencies in Capillaries, Microchips, and Slabs

Preface

Acronyms

Symbols and Conventions

Introduction

1 Solvents and Buffer Solutions. 1.1 Water as a Solvent

1.1.1 Temperature and Brownian Motion

1.1.2 Electric Permittivity of Water

1.1.3 Dissolution

1.1.4 Solvation

1.1.5 Dissociation

1.1.6 Ionization

1.1.7 Hydrophilicity, Hydrophobicity, and LogP

1.1.8 Gibbs Free Energy Change

1.1.9 Acid Ionization Constants

1.1.10 Concentration–pH and pa–pH Diagrams

1.1.11 Henderson–Hasselbalch Equation

1.1.12 Buffer Capacity

1.2 Binary Mixtures and Other Solvents

References

2 Fundamentals of Electrophoresis. 2.1 Introduction

2.2 The Platforms

2.3 Electrophoresis

2.4 Electrophoresis of Single Molecules

2.5 Ionic Limiting Mobility

2.6 Bands, Fronts, Peaks, and Zones

2.6.1 Bands and Peaks

2.6.2 Fronts

2.6.3 Zones

2.7 The Isoelectric Point

2.7.1 Isoelectric Point of Molecules

2.7.2 Isoelectric Point of Nano and Microparticles

2.8 Turbulent and Laminar Flow

2.8.1 The Driving Forces of Fluid Flow

2.8.2 Turbulence

2.8.3 Laminar Flow in Cylindrical Capillaries. 2.8.3.1 Pressure Driven Flow

2.8.3.2 Gravity Driven Flow

2.8.3.3 Capillary Action

2.8.4 Laminar Flow in Microchannels. 2.8.4.1 Pressure Driven Flow

2.8.4.2 Gravity Driven Flow

2.9 Electroosmosis. 2.9.1 EOF in Cylindrical Capillaries

2.9.1.1 Volumetric Flow Rate

2.9.1.2 Combined Pressure Driven Flow and EOF

2.9.2 EOF in Rectangular Microchannels

2.10 Supression of EOF

2.10.1 Protocols for EOF Suppression

2.10.2 Advantages of Suppressing EOF with Covalent Coatings

2.10.3 Measuring Small and Large EOF Velocities

2.11 Joule Effect and Heat Dissipation

2.12 Temperature Profiles

2.13 Molecular Diffusion and Band Broadening

2.14 Sample Stacking and Band Compression

2.15 Separation Modes. 2.15.1 Affinity Electrophoresis

2.15.2 Electrochromatography

2.15.3 End-labeled Free-solution Electrophoresis

2.15.4 Free-Solution Electrophoresis

2.15.5 Isoelectric Focusing

2.15.6 Isotachophoresis

2.15.7 Microemulsion Electrokinetic Chromatography

2.15.8 Micellar Electrokinetic Chromatography

2.15.9 Sieving Electrophoresis

2.15.10 Suitable Separation Modes for Each Class of Analytes

References

3 Open Layout. 3.1 Introduction

3.2 Capillary Electrophoresis

3.3 Microchip Electrophoresis

3.4 Slab Electrophoresis

3.5 Performance Indicators for Open Layouts

3.5.1 From Single Bands or Peaks. 3.5.1.1 Number of Theoretical Plates

3.5.1.2 Number of Theoretical Plates per Unit Time Squared

3.5.1.3 Height Equivalent of a Theoretical Plate

3.5.2 From Two Neighboring Bands or Peaks

3.5.2.1 Resolution

3.5.2.2 Resolution per Unit Time

3.5.3 From Bands and Peaks

3.5.3.1 Band Capacity

3.5.3.2 Band Capacity per Unit of Time

3.5.3.3 Peak Capacity

3.5.3.4 Peak Capacity per Unit Time

References

4 Toroidal Layout. 4.1 Introduction

4.2 Toroidal Capillary Electrophoresis

4.3 Toroidal Microchip Electrophoresis

4.4 Toroidal Slab Electrophoresis

4.5 Folding Geometries

4.6 Microholes and Connections

4.7 Reservoirs

4.8 Active and Passive Modes of Operation

4.8.1 The Gravimetric Method

4.8.2 The Hydrodynamic Method

4.8.3 The Electrokinetic Method

4.8.4 Using Microvalves or Microcaps

4.9 Performance Indicators for Toroidal Layouts

4.9.1 From Single Bands or Peaks

4.9.1.1 Number of Theoretical Plates

4.9.1.2 Number of Plates per Unit Time Squared

4.9.1.3 Height Equivalent of a Theoretical Plate

4.9.2 From Two Neighboring Bands or Peaks

4.9.2.1 Resolution

4.9.2.2 Resolution per Unit Time

4.9.3 From Bands or Peaks. 4.9.3.1 Band Capacity

4.9.3.2 Band Capacity per Unit Time

4.9.3.3 Peak Capacity

4.9.3.4 Peak Capacity per Unit Time

References

5 Confronting Performance Indicators. 5.1 Introduction

5.2 Performance Indicators from Experimental Data

5.3 Performance Indicators Predicted from Operational Parameters

References

6 High Voltage Modules and Distributors. 6.1 Introduction

6.2 High Voltages in Open Layouts

6.3 High Voltages in Toroidal Layouts. 6.3.1 The Ideal Toroidal Length

6.3.2 High Voltage Distribution Made by Four Modules

6.3.3 High Voltage Distribution Based on Relays

6.3.4 High Voltage Distribution Based on Sliding Switches

6.3.5 High Voltage Distribution Based on Rotating Switches

References

7 Heat Removal and Temperature Control. 7.1 Introduction

7.2 Temperature Gradients are Unavoidable

7.3 Temperature has Multiple Effects

7.4 Electrical Insulators with High Thermal Conductivity

7.5 Cooling Strategies Used in Capillary Electrophoresis

7.5.1 Advantages of a Symmetric Cooling Geometry

7.6 Cooling Strategies Used in Microchip Electrophoresis

7.6.1 Advantages of a Symmetric Cooling Geometry

7.7 Cooling Strategies Used in Slab Electrophoresis

7.7.1 Advantages of a Rational Cooling Strategy

7.8 Shear Rate of the Coolant

7.9 Final Considerations

References

Note

8 Detectors. 8.1 Introduction

8.2 Fixed Point Detectors

8.3 Spatial Detectors (Scanners and Cameras)

8.4 Derivatization Reactions

8.4.1 Fluorogenic Reactions

8.4.2 Labeling Reactions

8.4.3 Improving Selectivity Through Derivatization

References

9 Applications of Toroidal Electrophoresis. 9.1 Introduction

References

Appendix A Nomenclature

References

Appendix B Species Concentration in Buffer Solutions

B.1 Acids (HnA) B.1.1 Monoprotic Acids ()

B.1.2 Diprotic Acids ()

B.1.3 Triprotic Acids ()

B.1.4 Tetraprotic Acids ()

B.2 Bases (B) B.2.1 Monoprotonated Bases ()

B.2.2 Diprotonated Bases ()

B.2.3 Triprotonated Bases ()

B.2.4 Tetraprotonated Bases ()

References

Appendix C Electrophoresis

C.1 Free-Solution Electrophoretic Mobility

C.1.1 Classical Trajectories

C.2 Mobility Dependence on Temperature

C.3 Transient Regimes

C.3.1 Eletrophoretic Transient Regime ()

C.3.2 Hardware Transient Regime ()

References

Appendix D Electroosmosis. D.1 Slab and Microchips – Cartesian Coordinates

D.2 Capillaries – Cylindrical Coordinates

D.3 Zeta Potential

References

Appendix E Molecular Diffusion. E.1 The Diffusion Equation

E.2 The Propagator

E.3 Application of Propagators to Bands at Rest

E.4 Application of Propagators to Bands in Movement

E.5 Bands and Peaks

References

Appendix F Poiseuille Counter-flow. F.1 Introduction

F.2 Velocity Level Contours

F.3 Temperature Level Contours

F.4 Equalizing and

Reference

Appendix G Cyclic On-column Band Compression. G.1 Introduction

G.2 Effect of Cyclic Band Compression Events on Variance

G.3 Number of Theoretical Plates

G.4 Number of Theoretical Plates per Unit Time

G.5 Height Equivalent of a Theoretical Plate

G.6 Resolution

G.7 Resolution per Unit Time

G.8 Band Capacity

G.9 Band Capacity per Unit Time

G.10 Detailed Calculation of and. G.10.1 Peak Variance. G.10.1.1 Compression Events Before Each Detection

G.10.1.2 Compression Events After Each Detection

G.10.2 Inter-Peak Spacing () G.10.2.1 Compression Events Before Each Detection

G.10.2.2 Compression Events After Each Detection

G.10.3 Calculation of the Values of

G.10.3.1 Compression Events Before Each Detection

G.10.3.2 Compression Events After Each Detection

References

Index

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Отрывок из книги

Tarso B. Ledur Kist

Department of Biophysics, Federal University of Rio Grande do Sul, Brazil

.....

where is a dimensionless parameter called the activity coefficient, which depends on the units of concentration of the variables , , and . These are standard states of solute concentrations with the following units, respectively: amount concentration (molar), molality (molal), and mass concentration (g ). They should not be confused with the standard solutions used in analytical chemistry, nor with the standard conditions of a system (e.g., standard temperature and pressure of a gas). These standard states are standard quantities of a thermodynamic variable and in the present case could be 1 M, 1 molal, and 1 g L−1.

The activity coefficients express the deviation from an ideal behavior. When the activity coefficient of a chemical species is close to one for a given range of concentration amount or other unit, then this species exhibits an almost ideal behavior according to Henry's law in this range and the same is expected up to infinite dilutions of the solute.

.....

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