By Hiroyuki Ohshima
Chapter 1 strength and cost of a difficult Particle (pages 1–46):
Chapter 2 power Distribution round a Nonuniformly Charged floor and Discrete cost results (pages 47–62):
Chapter three transformed Poisson?Boltzmann Equation (pages 63–82):
Chapter four power and cost of a tender Particle (pages 83–110):
Chapter five loose strength of a Charged floor (pages 111–131):
Chapter 6 capability Distribution round a Charged Particle in a Salt?Free Medium (pages 132–162):
Chapter 7 Electrostatic interplay of element fees in an Inhomogeneous Medium (pages 163–185):
Chapter eight strength and capability strength of the Double?Layer interplay among Charged Colloidal debris (pages 186–202):
Chapter nine Double?Layer interplay among Parallel related Plates (pages 203–240):
Chapter 10 Electrostatic interplay among Parallel multiple Plates (pages 241–264):
Chapter eleven Linear Superposition Approximation for the Double?Layer interplay of debris at huge Separations (pages 265–282):
Chapter 12 Derjaguin's Approximation at Small Separations (pages 283–297):
Chapter thirteen Donnan Potential?Regulated interplay among Porous debris (pages 298–322):
Chapter 14 sequence growth Representations for the Double?Layer interplay among debris (pages 323–356):
Chapter 15 Electrostatic interplay among smooth debris (pages 357–374):
Chapter sixteen Electrostatic interplay among Nonuniformly Charged Membranes (pages 375–380):
Chapter 17 Electrostatic Repulsion among Parallel tender Plates after their touch (pages 381–387):
Chapter 18 Electrostatic interplay among Ion?Penetrable Membranes in a Salt?Free Medium (pages 388–398):
Chapter 19 van der Waals interplay among debris (pages 399–419):
Chapter 20 DLVO concept of Colloid balance (pages 420–430):
Chapter 21 Electrophoretic Mobility of soppy debris (pages 431–467):
Chapter 22 Electrophoretic Mobility of centred gentle debris (pages 468–479):
Chapter 23 electric Conductivity of a Suspension of sentimental debris (pages 480–484):
Chapter 24 Sedimentation strength and pace in a Suspension of sentimental debris (pages 485–496):
Chapter 25 Dynamic Electrophoretic Mobility of a tender Particle (pages 497–507):
Chapter 26 Colloid Vibration capability in a Suspension of soppy debris (pages 508–514):
Chapter 27 powerful Viscosity of a Suspension of soppy debris (pages 515–532):
Chapter 28 Membrane capability and Donnan power (pages 533–542):
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Extra resources for Biophysical Chemistry of Biointerfaces
Ii) Sinusoidal charge distribution Consider the case where the surface charge density s(x) varies sinusoidally (Fig. 2), namely, sðxÞ ¼ cosðqxÞ ð2:18Þ From Eq. 7), we have Z cosðqxÞeÀikx dx Z 1 ðeiqx þ eÀiqx ÞeÀikx dx ¼ 2 s ¼ ð2pÞfdðk þ qÞ þ dðk À qÞg 2 ^ðkÞ ¼ s ð2:19Þ Substituting this result into Eq. 12), we have Z h pﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ i fdðk þ qÞ þ dðk À qÞg pﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ exp ikx À k2 þ k2 z dk k2 þ k2 h h pﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ i pﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ i s 1 pﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ exp iqx À q2 þ k2 z þ exp Àiqx À q2 þ k2 z ¼ 2er eo k2 þ q2 h pﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ i s cosðqxÞ pﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ exp À q2 þ k2 z ¼ er eo k2 þ q2 s cðx; zÞ ¼ 2er eo ð2:20Þ When q ¼ 0, Eq.
46 POTENTIAL AND CHARGE OF A HARD PARTICLE 5. A. L. Loeb, J. Th. G. Overbeek, and P. H. Wiersema, The Electrical Double Layer Around a Spherical Colloid Particle, MIT Press, Cambridge, MA, 1961. 6. L. R. White, J. Chem. , Faraday Trans. 2 73 (1977) 577. 7. H. Ohshima, T. W. Healy, and L. R. White, J. Colloid Interface Sci. 90 (1982) 17. 8. H. Ohshima, J. Colloid Interface Sci. 171 (1995) 525, 9. 10. 11. 12. 13. H. Ohshima, J. Colloid Interface Sci. 174 (1995) 45. H. Ohshima, J. Colloid Interface Sci.
1=2 er eo kkT 4 (3 À p)q À 3 4 qþ1 pq 1 þ s¼ 6ln þ ln(1 À p) þ e ka 2 (pq)2 (ka)2 (pq)2 ð1:88Þ as the second-order s–co relationship, where p ¼ 1 À exp( À eco =kT) ! 2 eco 1 1=2 q ¼ exp þ 3 3 kT ð1:89Þ ð1:90Þ and k is the Debye–Hu¨ckel parameter for a 2-1 electrolyte solution (Eq. 13)). )# & 2 31=2 (1 À Z) f1 þ (Z=3)1=2 gft À (Z=3)1=2 g pt þ (3 À p)t À 3 À ln kapt 2Z1=2 f1 À (Z=3)1=2 gft þ (Z=3)1=2 g ð1:91Þ with ! Z eco Z 1=2 t ¼ 1 À exp þ 3 3 kT Z¼ 3n2 n1 þ 3n2 ð1:92Þ ð1:93Þ where k is the Debye–Hu¨ckel parameter for a mixed solution of 1-1 and 2-1 electrolytes (Eq.
Biophysical Chemistry of Biointerfaces by Hiroyuki Ohshima