Перенос ионов в мембранах - Заболоцкий В.И.
ISBN 5-02-001677-2
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процесса электродиализного обессоливания разбавленного раствора
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707-713.
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/Под ред. Ю.А. Беувича и Л.М. Рабиновича. М.: Мир, 1984. С. 194-208.
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388
Zabolotsky V.I., Nikonenko V.V.
Ion transport in membranes. - М.: Nauka, 1996. - 392 p.; ill. ISBN 5-02-
001677-2
The authors of the book discuss their own results of fundamental studies
and also analyse the ideas and models that have formed in literature
today concerning ion-exchange membranes, ion transport phenomena in them
and the role of the diffusion layers adjacent to the membrane surface.
Taking into account structural inhomogeneity of membranes, the authors
derive transport equations on the basis of both the principles of non-
equilibrium thermodynamics and the approaches of transport modelling on
microscopic level. Special attention is paid to the Nernst-Planck
equation underlying the majority of modern descriptions of transport
processes in membrane systems. The particularities of ion transport
through membrane/solution interfaces and through inner membrane
interfaces are outlined.
For electrochemists specializing in ion-exchange membranes and
electromembrane technologies, as well as for students.
CONTENTS
PREFACE..................................................................
........................ 6
Chapter 1. STRUCTURE OF ION-EXCHANGE MEMBRANES. STATE OF IONS
AND
WATER............................................................'.......
............. 8
1.1. Structural arrangement of ion-exchange
membranes............................................ 8
1.1.1. Structurizing in dry ion-
exchangers....................................................... 8
1.1.2. Structurizing in hydrated ion-
exchangers................................................. 13
1.2. State of
ions.....................................................................
......... 20
1.2.1. The Donnan
relations................................................................
..... 20
1.2.2. The three states of
ions................................................................. 21
1.2.3. Fixed group hydration
stages............................................................. 24
1.2.4. Ions in a double electric layer. A plate pore
model...................................... 27
1.2.5. A cylinder pore
model....................................................................
33
1.3. State of water and pore radius
distribution................................................ 38
1.4. The non-exchange electrolyte
sorption...................................................... 49
1.4.1. The Donnan equilibrium of two
phases..................................................... 49
1.4.2. Verification of the Donnan relation. Experimental
results................................ 52
1.4.3. Non-uniform continuous charged sites distribution
models................................. 55
1.4.4. Discrete charged sites distribution
models............................................... 59
Chapter 2. THERMODYNAMICS OF NON-EQUILIBRIUM
PROCESSES............................ 68
2.1. Transport equations in an integral
form.................................................... 68
2.1.1. The dissipative function and phenomenological
equations.................................. 69
2.1.2. The choice of forces and flows. The Kedem-Katchalsky equations. L-
form................... 73
2.1.3. Practical transport
coefficients......................................................... 76
2.2. TNP transport equations in the differential
form......................................... 79
2.2.1. Basic assumptions and
restrictions....................................................... 79
2.2.2. Reference
