«- -» μ

Transcript

1 000 μ 05

2 Дқ Ж қ N N 4

3 6 I IҚ IҚҚ IҚқ 5 IҚ 9 Iқ I 9 IҚ 9 Iқ I 4 Iζ 45 Iζ II 50 5 IIҚ 5 IIқ 59 IIқҚ 59

4 4 IIққ 60 IIқ 6 II 64 IIҚ 64 IIқ 68 II 7 IIζ 74 III 76 σкcх 76 IIIҚ IIIҚҚ 76 IIIҚқ 79 IIIҚ 80 IIIҚζ 8 IIIҚη 87 IIIқ 90

5 5 IIIқҚ a = 0қ 90 IIIққ a = 0қ 9 IIIққҚ a = 0қ 9 = 0қ IIIқққ 96 IIIқ a = 0ηη 00 IIIқҚ a = 05η 00 = 0ηη IIIққ 05 IIIқζ a = Қ0қ IIIқζҚ a = 0қ = Қ0қ IIIқζқ 5 IIIқη = 09 0

6 6 IIIқηҚ = 09 0 = 0Қλ IIIқηқ IIIқθ = 04 7 IIIқθҚ a = 04 7 = 0ζқ IIIқθқ IIIқ7 7 IIIқκ 4 III 5 IIIҚ = 0ηη = 0ζқ IIIқ 5 = 0 = 0Қλ 54 IIIζ 55 IIIη 57

7 7 IIIηҚ 57 IIIηқ қ 88

8 8 : қ0

9 9

10 0 ; μ ; NaCl ; ; ; ; :

11 ; V kb W φ r ; : : Uef Sm W 0Қλ Қ0қ 90 0 NaCl W ;

12 σкcх σкcх ; ; ; = 055 = 0ζқ ; = 0қ = 0Қλ ;

13 : μ қθқκ ҚқҚη қ0ққ ; III» «" " қ0ққ; 7 қ0ққ ; 8 I μ ққ қθ қ0қ ; III қηқθ қ0қ ; IV International conference on colloidal chemistry and physicochemical mechanics Moscow 0 June 05 July 0; 9th SaintPetersburg Young Scientists Conference November 4 0 Saint Petersburg; IV ҚζҚη қ0қζ; I μ Қκ қ0қζ ; ққ қη қ0қζ ; V ё» «60 04; 0th Saint Petersburg Young Scientists Conference November Saint Petersburg; II Қ7 «қ0қζ ; 05» 05; V «қ0ққ ;» I μ Қλ қ0 қζ қ0қη

14 4 ; IV «0Қη» қ0қη ; III қλ Қ қ0қη ; Modern problem of polymer Science th International SaintPetersburg Conference of Young Scientists November 9 05 Saint Petersburg; III Қ0ҚҚ қ0қη : 6 Қ : ққ 7Қ Қη қ Қλ : ; ;

15 5 I I I [7] 0Қ Қ0 η% [80] [] [] μ II қ қ қ

16 6 [9] [0]

17 7 I [] [45] [6]

18 8 қθ% ζ7% қ0 0 % [7] ζζ ζ [8]

19 9 Дқλ0Ж ДҚЖ ДқЖ ДЖ

20 0 η Қη % Дζ5] ДθЖ T Delair 00 η00 NH қ Қ0 λ Д7Ж R Pelton NN

21 I ДκζЖ ДζζζηЖ H Kavaguchi [46ζκЖ N ДζλЖ T Taniguchi α

22 қ0 ζ00 NaCl Қζ0 ζλ0 ζ0º қ0º D Yu Д50Ж M Muller [5Ж D Nagao [5Ж θg

23 ηη0 [4045] I

24 4 Қκ7λ ДηЖ XX ДηζЖ ; ДηηЖ ДηθЖ

25 5 Дη7Ж ДηκЖ φd φd Дηλθ0Ж φd φd

26 6 ДθҚЖ Д6] φd [665] φ d φd

27 7 ё Дθθ68] ДθλЖ Д707] HMorgan [7] U U U r>қ0 r<қ0 μ

28 8 κ= С 0 z e ε κκη Қ0 Қκ Қ0 k қλκ Д775Ж μ U ef H l h 4 t I Uef ; h ; ; l t ; K ; t ;I ДθηЖ NaCl Қ0 α

29 9 A JódarReyes Д76] ГОЭК SТгОЫ IV εкхяоыч IЧЬЭЫЮЦОЧЭЬ NaCl Қ0 μ Uef r>> Sm U ef 0 μ r<<қ Hk U ef 0 4

30 0 ; ; 0 κκη Қ0 μ μ AlO TiO ZrO [778Ж Chassagne Ibanez [88Ж KCl MgCl εкхяоыч ГОЭКSТгОЫ σкчш ГОЭКσКЧШ Malvern ZetaSizer 000HSA Zeta000 0Қ Қ000 MgCl ДθЖ

31 Д646ηЖ J MolinaBШХıvar [84Ж ГОЭКSizer IV Malvern IЧЬЭЫЮЦОЧЭЬ NaCl ζ00 Дκ5Ж зқ00 θ κ I I

32 Дκ6Ж Дκ7] Д88κλЖ V h: h dv dh 5 μ h = mh + μ eh + ah + sh+ 6

33 mh eh ah sh ҚҚ00 FLondon [90Ж Дλ9Ж Дλ] Дλ4Ж

34 4 Қ0 ДκλЖ Дλ599Ж [000Ж ДҚ04] ДҚ0509Ж < Қη > ζ0

35 5 I [] μ

36 6 ҚҚ h = = exp exp 0 exp κℎ + Қ = ℎ 7 8 z c

37 7 μ = А ℎ 9 h [940] Қ Ққ Ққ қ Д940Ж

38 8 Ve Vm J Maroto F de las Nieves ДҚҚЖ ДҚҚζЖ F de las Nieves ё

39 9 Na+ ДҚҚηЖ J MolinaBolívar ДҚҚθЖ [7Ққ0Ж 7θ

40 40 COOH SCOOH SCOOH M RomeroCano ДҚқҚЖ Д] ДҚқ4] S Sauery қ0% ДҚқ5Ж

41 4 μ ДҚқ6Ж ДҚқ7] ДҚ8Ж

42 4 ДҚ9Ж Қ00 < d < қ00 R Ottewill J Shaw [0Ж GWiese THealy [Ж 000 0қҚҚ µ η Қ0 00ηµ φd 0 қ0 [Ж ДЖ Қ00 κλ κқ [4]

43 4 φ0 C r φ0 =const ДҚ4Ж ДҚ5Ж μ ДҚ6Ж ДҚ78Ж

44 44 I ДҚ9Ж R nt t n0 = = = D 8 0 ;r μ = k қλκ ; ДҚζ0Ж μ = D ΔV k

45 45 T nt n0 = ҚҚ nt μ = + 4 R=r ҚҚ μ ҚҚη = 5 T ДҚζҚ4] ДҚζ]

46 46 μ Қ ҚҚζ қ ҚҚη W v v W=v v Қ W= [44Ж =T : T 4 W Қ W Қ [4547Ж R r; R r+r W<Қ 0Қ KCl NaCl Д485]

47 47 Қ [5] Қ қ W Қ ДҚ54Ж [5] I4

48 48 ДҚη5Ж W = 6 W Vmax>>kT W HSonntage [5Ж E Honig [56Ж J Lyklema [5758Ж ДҚ59Ж

49 49 ДҚθ0 6Ж KNO A Smith L Thompson [6] KNO = 00Қ r = 08 L Thompson D Pryde [6465Ж r = 0η

50 50 J Cahill [66Ж r = қηη G Jeffrey r = Қ R Ottewill [67Ж G Odriozola [6869Ж қ қ dlgwdlgc ДҚ707Ж

51 5 ДҚ7Ж ДҚ7Ж Vr μ ДҚ7] μ ДҚ74]

52 5 ДҚ75Ж Қ μ I4 ДҚ76] = 4 = Қ0λқ = 7κқ қη % ζ0 η0% қ

53 5 70 κ0 % ДҚ77Ж μ 5 H ; 5 κκη ; Қ7η; ζθ0; H 5 % қη%

54 54 ДҚ78] ДҚ798Ж

55 55 II II = 0қ = 055 = Қ0қ Қ ζ 5 = 0Қλ =0ζқ θ 7 θ η ζ00 Қ00 θ065 θ

56 56 Қ в HCХ ζ0 45 μ C H H C HO+ n C H HCOOH HN H C n NH O C I H μ H N HC CH CH HC N H H C H C ɇ Ɉ CH O C n H C n HO CH H C CH II θ 7 қ μ қμ

57 57 HO O OH n * * NH S COOH * n C NH * NH COOH NCS OH O III HO μ εкхяоычгоэкьтгоыσкчшгs ққ ққ = 0қ = 0ηη = 0Қλ = 0ζқ

58 58 ққ ққ ққ = 0қ = Қ0қ = 0ζқ = 0ηη Қηλ Қ0λ :

59 S s S ; ρs Қ ққ % COOH NH NaCl SОЯОЧεЮХЭТ εоэхоыtшхонш σкτh [8Ж қ

60 R Sc R Sc VNaOH VNaOH қ = Қ0қ = 0Қλ [8]: 6 0 N s Қ N ρs ; 000қ% зқ 0 зқ 07 0 λ0

61 6 «NaCl» 00Қ 000Қ ; II II 0 Қ00 Uef μ қζ

62 6 = 0қ = 0Қλ = 0ζη = 0η0 000Қ 0Қη NaCl MalvernZetasizerNanoГS қη U DTSҚ0θ0 қζ қη II қη = 0ηη Uef = Қ0қ = 04 қ

63 6 NaCl 000Қ ph 0 90 = ℎ ; ; h ; t ;I t ; K қμ Uef Uef 05 ; l Κ қ HAσσA HI κ7 қ0 ±Қ% 4 ы [778488Ж я Б550М П я ы ы я Қ қη

64 64 қη h 0λ704 ; 0қҚС 07λС [58] [89] 0қҚ С қθ қθ = 0ηη NaCl = 0 Қ0 NaCl Қ0 Қ0

65 65 II қ Uef κ= С r r 4 z e ε κκη Қ0 Қκ Қ0 k қλκ r >>Қ қζ ДҚλ09]: Sm U ef 5 0 ДθθЖ E E = 0887 Uef μ = + = q0 қ0 + + = Eq0: 6 7 NaCl r: y0 W : NaCl + = = =

66 66 W W y0 kt e 8 ζ II II ДҚλ498Ж 4 қλ қλ nt θқ0 ηқ ққ0

67 67 = 0ηη η қ0% 7 n* l =60 l = t 00 қ0 a = 055 an n t wt қ 9 қλ n ant wt 9 a nt t w t

68 68 μ n 00 Д95] 0қ ққ a = 0ζқ n η NaCl n0 қ0% қ n0 =

69 n* t қ = 0ζқ Қ қ = 0 76 [99] VҚҚ 7 n* t 00 қққ a = 0қ Қ қ

70 70 Д00Ж ққ 0қ ққ μ a= ζ ё a= Қ0 К> [0] a a b II

71 7 Қη қ 7η0 ± Қ% 0% ±ққ ққ0 қ0 0 η қ0 Қ0 0 θқη Қ0 00 қ Қ00 Қ0 Дқ0] n n ққ0 n қққμ r n ' n' n' n' 0 ; =қ D n' Қηλ n '

72 7 й ; D K n' n* ; ққμ ~ n* D қ Қη750 ққζ c lg D B n * lg B 4 K n' қ0 n ққη 6 07 n K n ' 5 6 n' 6

73 7 ққζ D 55 θη ққζ D ққζ lgdlg Қ n =қθ7 = 0ққ =0Қλ Қζ% 0% 0 D lgd lgλ λ y = 67x ққζ = 0Қλ = 5 7κ0

74 74 II Vi μ Vm = + 7 H Oshima T Healy L White [0Ж = + + r 8: ℎ ch + h ℎ { ℎ ℎ + + ch h h ℎ ℎ + ℎ } [ th ℎ ]+ + + ℎ [cth ℎ ] 8 ққλμ Vi* = + + қққ { [ + +exp ℎ exp ℎ ]+ ққκ [ + exp ққλ ℎ ]} 9 ққ0 : = = + + { { ℎ [ th [ +exp ℎ exp ℎ ]+ ℎ ] ℎ ch ℎ ℎ [ + exp z e z e k T k T h } 0 ℎ ]} [04]:

75 75 A a V m 7 7 h p p< 05 A a V m h p8 p4 p 0η <p < 4 p = h А [05] Д06] ққ ққζ W ққημ = [ Vu + exp ] [ + exp Viu ] ; VАu u = hr 5 ққθ: = « » W ққ7[07]: = +ℎ { } ℎ + exp{ } 7

76 76 W hmin 8 d [4] μ N Қ 6 n0 N Қ0 A 8 ққλμ ққκ 6 A 9 II4 [7] μ а = + 6 s Дқ0κЖ V Г 0 Γ = < exp u Vu = 0 hr Vu = 0 kt : а а = = Г

77 77 4: = 4 R D μ = 5

78 78 III III NaCl NaCl = 055 = 0 = 04 5 = 0 = 09 εкхяоычгоэкьтгоыσкчшzs III = 0 = 055 = 04 Қ ζ Uef қ Қ қ Қ

79 79 Uef*084 а = 055 а = 0 а = 04 *c Н Қ = 055 Қ; = 0 = Қ қ NaCl 8 Uef*0 4 а = 055 а = 0 а = 04 *c Н қ = 055 = 04 Қ; = 0 00Қ σкcх қ

80 80 NH ζ Uef 8 Uef*0 4 а = 055 а = 0 а = 04 *c Н = 055 Қ; = 0 σкcх = 04 қ 0Қ 0Қη ζ Қ σкcх

81 8 8 Uef*0 4 a = 055 a = 0 a = 04 *c 0 lgcnacl 4 ζ = 055 Қ; = 0 қ = 04 NaCl III Uef Uef 0қ0 εкхяоычгоэкьтгоыσкчшгs = 055 Uef 5 η

82 8 қ; η η ph 8 9 = 055 εкхяоычгоэкьтгоыσкчшгs Қ қ NaCl = 00Қ η λ0 7% III

83 8 ДЖ 44' 4 Д08] «= 055» θ СNaCl = СNaCl =00 60 Н Н θ = 055 NaCl = 00Қ ы NaCl ζ0 қ = 000Қ Қ

84 84 η III4 5 ё Д6668] қη Қη0 0Қ< r<η0 r r

85 85 Қ Қ r = 0қ Sm қ W Sm r NaCl = 0ηη = 000Қ W r = Қ0қ Sm W * * * * = 00Қ NaCl 0 94 * 949 5* * * NaCl = 0Қ * * * * * * * * қη Қ = 0 r 7% = 055 = 0 = 0 ққ%

86 CNaCl = 000 CNaCl = 00 0 CNaCl = CNaCl = 000Қ CNaCl = 0Қ 9 ph = 0 8 Қ CNaCl = 00Қ 7 λ μ 0 λ0 0 = 0қ =0қ = 0ηη σкcх қ 7%

87 CNaCl=000 CNaCl=00 0 CNaCl= κ = pH 8 9 CNaCl = 000Қ Қ CNaCl = 00Қ қ CNaCl = 0 ζ0 λ0 0 = 0қ = 0ηη = 0қ ҚҚκ Қ00 = 0 қθκ = 0ηη

88 88 70 CNaCl= CNaCl=00 CNaCl= λ 6 7pH 8 9 = 0 5 CNaCl = 000Қ CNaCl = 0Қ Қ CNaCl = 00Қ Қ0 CNaCl = 00Қ а = 0 а = 055 а = Қ0 = 0 CNaCl = pH 8 9 Қ; = 055 қ = 0 қ

89 89 III5 = 0ζқ = 0Қλ қ қ ζ r = 0Қλ 5 NaCl = 000Қ Sm W = 0ζқ Sm r W * * * 97 NaCl = 00Қ * * * * 65 NaCl = 0Қη * * * * * 9 * = 09 4% = 04 NaCl θθ қ0%

90 90 ҚҚ Ққ 70 CNaCl= CNaCl=00 CNaCl= ҚҚ CNaCl = 000Қ Қ CNaCl = 00Қ 8 9 ph = 0Қλ қ CNaCl = 0Қη 70 CNaCl= CNaCl=00 CNaCl= Ққ CNaCl = 000Қ Қ CNaCl = 00Қ 8 9 ph = 0ζқ қ CNaCl = 0Қη

91 9 Қ = 0Қλ Қ = 0ζқ қ NaCl 00Қ 0κη = 0ζқ 07κ = а=09 а= Қ Қ = 0ζқ ph қ 9 CNaCl = 00Қ = 0Қλ

92 9 CNaCl = 0Қη μ қζқ = 0Қλ ҚҚζ = 0ζқ III 000Қ 0Қη III a = 0 m Қ4 0 CNaCl = 00 Қ қ Қ4

93 9 4 m t 4 = 0 0 CNaCl = 00Қ Қ n0 = 07 n0 = 6 0 III a = 0 III Э я ч a = 0βγ 0 CNaCl = Қ 0Қ η Қη CNaCl = 000Қ m = Қ Қ CNaCl = 00Қ η m = 5 m = қ7 қ CNaCl = 0Қ = 0 λ0 NaCl Қθ

94 94 4 m CNaCl=000 CNaCl=00 CNaCl= t Қη = 0 0 Қ 00Қ қ 0Қ NaCl: 000 ; n0 = m CNaCl=000 CNaCl=00 CNaCl= CNaCl=0 t CNaCl=00 00 CNaCl=000 m t Қθ = 0 σкcхμ 000Қ n0 = 07 Қ 00Қ қ 0Қ λ0 ;

95 95 η Қθ CNaCl = Қ қ : η μ m m = ± 0 0Қ NaCl қη t=5 Қθ 90 Қθ mt CNaCl = 000Қ 00Қ m= Қ Қθ Қ қ 0Қ NaCl t= 5 m = : t t T t = 0T Қ 0 t = T mt t = 0T t = T NaCl t = 0T ё t = T a = 0қ 0 90 NaCl t = 0T Қ t = T Қ7 ζ0

96 96 a = 0 t =0T t =T 0 λ0 n0 = 07 СNaCl n0 = 6 0 а m't=0t* m't=t Қ Қ 0 40 С 000Қ ~0 * m з я = m lgcnacl = з я 0 Қ7 Қ 000Қ ζ0 λ0 m lgcnacl CNaCl = 00Қ λ0 ё 0Қ 0қ [844509] t = T μ 0 m lgcnacl NaCl 7

97 97 Қ ζ0 λ0 t = T m lgcnacl CNaCl = 0Қ t =0T ph 0 ph 40 ph λ0 m't=0t lgcnacl 5 0 ζ0 m't=t 0 λ lgcnacl Қ7 a = 0 NaCl 090 t = 0T t = T Қη Қ7 mt NaCl

98 98 0 λ0 ζ0 я III ч = 0βγ ч ч Л = 0қ NaCl 000Қ 00Қ Қκ 0Қ Қ II 0 CNaCl = 000 V < 0 kt Қ 0Қ kt 00Қ 0Қ Қκ NaCl = 0қ Қκ қ σкcх 4 W W II Қ W W 0 CNaCl = 000Қ W қθ W

99 99 W = = 0 λ0 NaClμ 000Қ 00Қ 0 Қκ Қ қ 0 CNaCl=000 0 VkT CNaCl=00 CNaCl= h VkT VkT h CNaCl=000 CNaCl=00 CNaCl=0 80 h CNaCl=000 CNaCl=00 CNaCl=0 Қκ = 0 λ0 NaCl 0 : W 4 W

100 00 CNaCl = 0Қ қ Қκ қ Vh CNaCl = 0 Vmax < 0 kt Қ λ0 W 4 ζ = 0қ σкcх 0 λ0 ph CNaCl Vmа kt hmax V kt hmin аа а ау я W W > > > > > > * * Vm = 0 kt

101 0 NaCl = 0қ 9 λ NaCl 0 V lgcnacl Қλ λ0 = 0 NaCl kt CNaCl = 000Қ V = 6 kt CNaCl = 0Қ λ0 қ0 t = 0T t = T

102 0 5 m't=0t m' m't=t V қ0 a = 0 λ0 t = 0T t = T 0Қ kt t t III a = 055 III Э я ч a = 055 = 055 n0 = 06 0 ққ NaCl = 000 NaCl = Қ 0Қ Қ

103 0 NaCl n = 7 06 ққ қ n = λ0 ққ n*0 6 4 CNaCl=000 CNaCl=00 CNaCl= CNaCl=00 CNaCl= t 00 8 CNaCl=000 n* n*0 6 CNaCl=000 CNaCl=00 CNaCl= t t = λ0 NaCl: = 055 η n0 = 06 NaCl:

104 04 λ0 NaCl η : μ m = ± 0 m : t t 0 T t = 0T 0 t = 0T III mt NaCl t = 0T ё t = 0T 5 η a = 055 n0 = 06 СNaCl m't=0t m't=0t nt С а С <0 0 С <0 С >0 С <0 NaCl

105 05 ққ t = 0T 0 t = 0T < 00 NaCl 00Қ t = 0T m lgcnacl t =0T ққ ζ0 λ0 қ ζ m lgcnacl CNaCl = 00Қ NaCl Қ ққ ққ η mt NaCl = 0ηη ζ0 0 λ0

106 06 0 ζ0 5 m't=0t λ lgcnacl 5 m't=0t 0 ζ0 0 λ lgcnacl қ a = 055 σкcх 0λ0 t = 0T t = 0T

107 07 я IIIβγβ ч = 0ηη ч ч Л = 055 NaCl 000Қ 00Қ 0Қ II 0 CNaCl = Қ 0 kt NaCl қ Қ қ Vh қ Vmax < 0 kt = 055 σкcх 6 W W 0 CNaCl = 000Қ W > 00 W қλ CNaCl = 00Қ қκ0 W W W 0 Қ W 0Қ NaCl 6 t = 0T t = 0T II

108 08 0 ph VkT CNaCl=000 CNaCl=00 CNaCl= h ph6 ph9 VkT 5 VkT h 60 CNaCl= CNaCl=00 CNaCl=0 80 CNaCl=000 h CNaCl=00 CNaCl=0 = n0 = NaCl : = 055 λ0 NaClμ 000Қ 00Қ

109 09 0 kt W Қ қ W 6 6 = 0ηη σкcх 0 λ0 ph CNaCl M Vmа kt hmax V kt hmin W W 6 > > > > > > > > > >00 а аа ау я CNaCl = 0Қ Қκ kt қ ; θ λ0

110 0 W > 00 Ққ W NaCl қζ 0 90 NaCl 7 V 0 6 ζ0 5 4 λ0 0 lgcnacl 4 = 0ηη NaCl V lgcnacl V V = 8 40 kt μ V = 8 kt λ0 CNaCl = 000 kt CNaCl = 0Қ V = 7 kt θ ζ0 V = 40 kt

111 0 m't=0t lgc = 0ηη σкcх W λ0 қ 0 қ5 5 қη 0 lgw ζ0 0 W λ0 5 = 0ηη σкcх lgc NaCl CNaCl = 00Қ 0 Қ0 CNaCl = 0 lgw = Қ 0 λ0 C lgwlgc η W NaCl қ6 m't=0t 0 90

112 mtv NaCl CNaCl > 000Қ қθ W Vmax = 8 kt ζ0 λ0 қθ Қ V V ~ 0 kt V қ6 5 m't=0t 0 = 0ηη ζ0 0 λ0 05 λ0 t = 0T V kt 5

113 III4 a = 0 IIIβζ Э я ч a = 0β = 0 n0 = 0 06 a = Қ0қ 0 NaCl = 000 0Қ қ7 0 7 n* CNaCl=000 CNaCl=00 CNaCl= = 0 00 t қ7 0 NaClμ 000Қ ; n0 = Қ 00Қ қ 0Қ CNaCl = 000Қ 00Қ Қn = Қ Қn = 0 06 η қ n0 = 0 06 NaCl 0Қ

114 4 Қn η Қn = 0 λ0 7 n*0 қκ NaCl 0 5 CNaCl=000 CNaCl=00 CNaCl= t n*0 CNaCl=000 5 CNaCl=00 CNaCl= t қκ = Қ0қ λ0 σкcхμ 000Қ n0 = 0 06 λ0 Қ 00Қ қ 0Қ NaCl μ η μ m = ± 0 m μ t t 0Қ T t = 0T 0қ t = 0T

115 5 mt t = 0T σкcх t = 0T t = 0T ё t = 0T 7 mt=0t lgcnacl mt=0tlgcnacl қλ 0 = 000 NaCl 0Қ NaCl Қ m lgcnacl ζ0 λ0 қ ζ 0 7 қλ 7 0 = 9 ҚҚζ > Қλ 0 = Қ0қ

116 6 7 a = Қ0қ n0=0 06 СNaCl m't=0t m't=0t С а 000Қ >0 >0 >0 45 mt=0t 5 0 ζ0 5 λ lgcnacl қλ a = 0 σкcх 0λ0 t = 0T

117 7 я IIIβζβ ч = 0β ч ч Л = Қ0қ σкcх 000Қ 00Қ 0Қ 0 II 0 CNaCl = 000Қ қ 00Қ 0 NaCl Қ Vh CNaCl = 0Қ Vmax = 7 kt = Қ0қ σкcх κ W W 0 CNaCl = 000Қ II W Ққ7 W = 08 CNaCl = 00Қ W κ Қη W Қ6

118 8 CNaCl=000 VkT CNaCl=00 CNaCl= h 4 4 VkT VkT h h CNaCl= CNaCl=00 CNaCl=0 4 CNaCl=000 CNaCl=00 CNaCl=0 4 0 = Қ0қ λ0 CNaCl = 0Қ NaCl 0 μ 000Қ Қ 00Қ қ 0Қ

119 9 = 0 λ0 NaClμ 000Қ 00Қ 0 kt 0 W Қ қ W ζ κ = Қ0қ σкcх 0 λ0 ph 0 Vmа kt hmax V kt hmin CNaCl W W > > > > > > > >00 0 а аа ау я

120 0 CNaCl = 0Қ λ0 κ 4 kt 0 ; W > 00 κ W Қ0 σкcх = Қ0қ NaCl V Қ ζ0 4 λ0 0 lgcnacl Қ = Қ0қ NaCl ζ0 90 VlgCNaCl V V = 4 6 kt CNaCl = 000Қ kt CNaCl = 0Қ κ

121 μ V = 4 kt λ0 V = 8 kt V = 7 kt 40 = Қ0қ σкcх ζ0 90 қ 00Қ W=Қ0 0 CNaCl = 0Қ lgw 5 ζ0 λ = Қ0қ lgc NaCl қ σкcх ζ0 90 κ ζ0 λ0 Қ қ CNaCl = 00Қ

122 ζ0 λ0 CNaCl = 0Қ Қ0 Ққ Қ V = 4 6 kt ζ0 λ0 CNaCl = 0Қ III5 а = 09 III5 Э я ч = 09 = 09 0 λ0 0 NaCl = 000 0Қη ζ n0 = 8 0 μ NaCl η μ m m = ± 0 ζ0 NaCl NaCl = 000Қ η = 000 0Қη m Қ NaCl қ = 00Қ m = Қθ m = Қκ

123 m CNaCl=000 CNaCl=00 CNaCl=05 0 m CNaCl= CNaCl=00 CNaCl=05 00 t CNaCl=000 m 6 5 CNaCl=00 CNaCl= t t 7 CNaCl=000 m 6 5 CNaCl=00 CNaCl= t 50 = 09 0 λ0 σкcхμ 000Қ Қ 00Қ n0 = 8 0 қ 0Қη λ0μ n0 = :

124 4 μ NaCl η m = ζη m = ζқ ζ0 λ0 n0 = 0 06 NaCl = 000Қ 0 m = Қλ NaCl 00Қ m = κ 0Қη 0 NaCl μ η m = 5 я III5 ч = 0λ ч ч = 0Қλ Л NaCl 000Қ 00Қ 0Қη 4 λ W W II

125 5 0 CNaCl = 000Қ V =00 kt 4 Қ NaCl CNaCl = 0Қη V <0 kt Vmax = 5 kt V = 0 7 kt CNaCl = 000Қ W > 00 00Қ W ζκ7 7η CNaCl = 0Қη 09 W W = 0Қλ 4 ζ0 NaCl Vh Қ қ λ CNaCl = 000Қ Қ қ NaCl 00 ζ0 CNaCl = 0Қη V = 7 kt 4 W > 00 W ҚҚ

126 6 CNaCl = 0Қη Vmax = 4 kt 4 V = kt λ = 09 σкcх 0 90 ph CNaCl M Vmа kt hmax V kt hmin W W 758 > > > > > > а аа ау я 05 = 0Қλ 4 CNaCl = 000Қ λ0

127 7 W W λ Қ Қ NaCl W~05 V = 0 W = ζλ kt қ CNaCl = 0Қη 4 σкcх 0

128 VkT CNaCl= CNaCl=00 CNaCl= h VkT CNaCl= CNaCl=00 CNaCl= = 09 σкcхμ 000Қ Қ 00Қ қ 0Қη 0 λ0 0 h

129 9 III6 а = 04 III6 Э я ч a = 04 0 λ0 NaCl = 000Қ 00Қ 0Қη 5 n0 = μ NaCl η μ m = ± 0 ζ0 5 NaCl NaCl = 000Қ = 000Қ 00Қ 0Қη 5 m m = Қ Қ ζ μ Қ Қ m = Қκ қ Қ m = қ η m = қη NaCl = 000Қ 00Қ 5 0Қη NaCl t=η m = 4

130 0 m CNaCl=000 CNaCl=00 CNaCl= CNaCl=000 m 50 CNaCl=00 CNaCl= CNaCl=000 m t CNaCl=00 CNaCl= t t CNaCl=000 m 00 CNaCl=00 CNaCl= t 5 = Қ 0 Қ n0 = 9 06 NaCl η = 00Қ 00Қ қ λ0 0Қη σкcхμ m = Қκ

131 m = қ0 t=η λ0 NaCl = 000Қ 00Қ 0Қη m = 7 m = m = Қλ μ t t 0Қ T t = 0T η 0 t = 0T III III4 mt σкcх Қ0 0 n0 = 9 06 a = 04 СNaCl m't=0t m't=0t a = 04 σкcх t = 0T t = 0T 0λ0 6

132 5 m't=0t ζ0 05 λ0 00 lgcnacl 08 5 m't=0t ζ0 05 λ0 00 lgcnacl 08 6 a = 04 σкcх 0λ0 t = 0T t t t = 0T m'tlgcnacl 0 ζ0 λ0

133 я IIIβ6β ч = 0ζβ ч ч = 0ζқ Л NaCl 000Қ 00Қ 0Қη 7 II 0 CNaCl = 000Қ 00Қ 7 Қ қ 0 0Қ CNaCl = 0Қη 0ζ kt V = 44 kt = 0ζқ σкcх Қ0 W W 0 W > 00 CNaCl = 000Қ II W Қθλ W > 00 W қλ 06 W CNaCl = 0Қη W Қ0 θ 7

134 4 ҚҚ = 0ζқ σкcх 0 90 ph 0 40 CNaCl Vmа kt hmax V kt hmin W W 68 > > > > > а аа ау я ζ0 CNaCl = 000Қ Vh 7 Қ Қ0 W > 00 0ζ kt W =қλ қ

135 5 CNaCl = 000 θ W σкcх 0 kt 7 Қ08 W W Қ W қζ CNaCl = 0Қη қ λ0 Vh Vmax = 6 kt V = 0 kt 7 Қ W =70κ W = ҚκҚ CNaCl = 00Қ 0Қη 7 қ

136 CNaCl= CNaCl=000 VkT 0 CNaCl=00 CNaCl=05 VkT CNaCl=00 CNaCl= h 40 h 60 CNaCl= CNaCl=00 CNaCl=05 5 VkT h = 0ζқ 0 λ0 σкcхμ 000Қ Қ 00Қ қ 0Қη 60

137 7 σкcх 0 NaCl κ CNaCl = 000Қ kt 44 kt CNaCl = 0Қη 0 5 logw V lgcnacl κ = 0ζқ W NaCl = 0ζқ W λ0 σкcх κ CNaCl = 00Қ 0

138 8 Қ0 0 λ m't=0t V kt CNaCl = 0Қη 44 kt λ 06 = 04 0λ0 t = 0T 0 ζ0 λ0 NaCl

139 9 III7 0 mt CNaCl = 00Қ 40 = 0қ Қ m = ққ Қ = 0қ = 0ηη t=η m = қζ = Қ0қ η m = 4 = 0ηη = Қ0қ = 0ηη = Қ0қ = 0қ = 0ηη = 0ηη = Қ0қ = λθλ = Қ0қ = Қηη0

140 40 4 m a = 0 a = 055 a = t = 0қ Қ n0 = қ Қ06 = Қ0қ 0 = 0ηη n0 = 0 06 CNaCl = 00Қ 0 = 0қ n0 = 6 0 қ CNaCl = 00Қ 4 Қ = 0ηη Vmax = 8 kt W = қ қ θ Vmax = 7 kt = Қ0қ V = 09 kt

141 4 W = Қη W = Қθ 0 W = W = Қη W = 6 W = ДЖ V Vmax Қ a= 0 a = 055 a = = 0 VkT Қ қ 0 = 0ηη h 80 = Қ0қ CNaCl = 00

142 4 Ққ a 05 c CNaCl 00 n0 07 m't=0t 0 Vmа kt 44 V kt қ Қ қ0 Қ ё m't=0t Қ 4 = 0 = 055 = 0 = 0 t m Д09 05]

143 4 ζқ 5 VkT h 50 VkT a = 0 a= 055 a= = 0қ Қ = Қ0қ = 0ηη қ h III8 ДқҚЖ μ x = +Сa С V Қ :

144 44 f't = 0 tmax ft φ0 ζ ζ V V kt μ а n0 = + 6 Г r а Қ IIIIIIқθ t = 0T 0T Қ T

145 45 ; a*05 c n0*07 m't=0t а r *05 а φ *07 kb а а CNaCl λ V > 0 kt =0қ ё ё V 0kT

146 46 t = 0T ζқ m t=0t 00 m't=0t ζζ m't=0t m't=0t 0η ё m't=0t m't=0t

147 47 τ >τ τ τ = 0ζқ ζ5 t = 0T 5 m't=0t ζη 5 m't=0t а қ0 ζ00 = 0ζқ = 700 Ққ00

148 48 m' ζ6 00 m' m't=0t m't=0t m't=0t m't а 000 а η Қ ДҚ74Ж

149 49 r ζ7 5 m' m't=0t 4 m't=0t m't=0t ζ7 m' r r * r r r η 6 05 r [74Ж қ Қ0 07 r r ДҚ7Ж φ = 4

150 50 φ ζ8 50 m't=0t m't=0t m't=0t m't ζκ 50 m't φ φ 07 Қ0 m't φ Ққ 0κ 4 07 φ 07 λ mt φ Қ7 Д89Ж W >>Қ >>Қ Қ mt > ДҚ4Ж k b

151 5 μ ns = nsd 5 = 6 μ [exp ] 6 λ ДҚθ0666Ж kb>05 ДҚ7] μ = k = 8 00 ζ0 NaCl = 00Қ а = 7 = 0ηη NaCl = Қ0қ k = 09 = 00 k = 6 08 = Д05Ж 4

152 5 Қ4 = 0Қλ a 05 c CNaCl n а m't=50t m't=5000t r kb а φ η mt φ Қ05 Қ =0қ Қ4 <Қ μ ζ0 NaCl = 00Қ t = T ДҚ7]: = = + 8 9

153 5 ns nsd ё N0: ns ns+nsd = 0 ns= ns N0 nsd= nsd N0 nsd ns t = 0 = ; nsd t = 0 = 0 ё T μ R Г = 4 ; D 0 ДҚ7Ж 5 6 = = = t = exp ns t =c exp nsd t = 8 9 ё

154 54 ё μ 4 nsd ns ё μ ns = exp nsd = exp t t Қn t= ζ0 nsd NaCl = 00Қ t=t n = t= ё : n =nn0 n n 6 5 = ns+ nsd 07 T ё ns : = ns+ nsd= ns+ ns 05 = ns +05 n 4 ns=07 05 =04 5 nsd= n 6 ns =0704=0 kt V >04 >0η

155 55 5 φ = 07 kb = 05 r = 6 05 III а = 055 III а = = 055 = 04 NaCl = 000Қ 40 ҚμҚ Қ 07 θқκ ζққ қ0 ζ0 m = m = 0 ζ0 μ қη0

156 56 η0 ζ0 η0 m pн ph t 49 = 055 = 04 NaCl = 000Қ 40 а = 0 III а = 09 = 09 = 0 NaCl ҚμҚ = 000Қ ζ0 5 m 0 ph ph t 50 = 0 = 09 NaCl =

157 57 ηζ m = Ққλ η η0 Ққ0 50 қ m = ηζ ζ0 m = Қ0κ қ00 III4 ζ0 II = 045 +ζқ қ «Д40Ж» 5

158 58 σкcх қ қ NaCl = 0Қη = 050 ζλ λ ФИ Ц ФИ Ц 5 40 NaCl NaCl = lg C 000Қ Қζ m = 9 η

159 59 m 5 4 ы ы ы ы ы ФИ Ц 4 ы ы ы ФИ Ц 5 ы ы ы ФИ Ц ф ы ы ФИ Ц ф t 00 5 Қ ζη Қζ 5; III5 III5

160 60 [79] 5 μ +η 4 60 : : : : +қλη D=09 D=0 D=09 D= % = 0қ = 0Қλ 4

161 6 қη% III5 54 = 0қ = 0Қλ NaCl = 000 NaCl = Қ 000Қ ζ w = Ққ% 54 m = Қθ μ w = Ққ% ққ% m = қ0 m = Қκ w = қ% ; m = қλ m = ққ

162 6 4 % % % 4 m t 4 % % % 4 m t 54 = 0Қλ Қ ζ = 0қ NaCl = = 0қ = 0Қλ NaCl = 000 Қ ζ η5 Қζ% m = қζ η m = w = Қκ%

163 6 w = қθ% μ Қ0 μ Қζ% m = ққ Қλ% m = Қη қθ% m = 9 қ0% Ққ0 4 4 % 0 % 6 % 4 m t t 4 4 % 0 % 6 % 4 m = 0 = 09 ζ NaCl = 000Қ Қ

164 64 Қ0 μ Қζ% m = Қ7 қθ% m = Қη m = Ққ Қλ% қ0% Ққ0 w = Ққ% ζ0% ζ0%

165 65 Uef Sm W 0Қλ Қ0қ λ NaCl W σкcх σкcх V kb WHY φ r

166 66 = 055 = 0ζқ ; = 0қ = 0Қλ 0% Қ0% ; қη% w = Ққ%

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183 8 6 Shulepov SY Frens G Surface roughness and particle size effect on the rate of perikinetic coagulation: experimental J Colloid Interf Sci 996 V 8 P ηη η θζқ Smith AL Thompson L J Colloid Interf Sci 98 V 77 P Thompson DL Pryde D Weak aggregation of nonionic surfactant stabilised dispersions J Chem Soc Faraday Trans 98V 77 P Thompson DL Editor Modern Methods for Multidimensional Dynamics Computations in Chemistry World Scientific Singapore Cahill J Cummins PG Staples EJ and Thompson L Size distribution of aggregates in flocculating dispersions J Colloid Interf Sci 987 V 7 P Jeffrey GC Ottewil RH Reversible aggregation Part Kinetics of reversible aggregation Colloid Polym Sci 990 V 68 N P Odriozola G Schmitt A MonchoJorda r A J CallejasFerna ndez MartinezGarcia R Leone R HidalgoAlvarez R The kinetics of irreversible aggregation processes Trends in Colloid and Interface Science XV 00 V 8 no P Odriozola G Schmitt A CallejasFerna ndez J MartinezGarcia R Leone R HidalgoAlvarez R Simulated Reversible Aggregation Processes for Different Interparticle Potentials:The Cluster Aging Phenomenon J Phys Chem 00 B 07 S Dukhin SS Sjoblom J Emulsion and Emulsiom Stability Ed Sjoblom J New York: Marcel Decker 996 P4 7 μ Қλ7λ 0

184 84 7 Қλλθ ηκ θ7 κқ Қ θ Kovalchuk N Starov V Langston P Reversible coagulation of colloidal suspension in shallow potential wells: direct numerical simulation ζ ζλ μ Қλκζθκ 77 μ 97 Қ5 78 ζ μ 9 ηη0 79 Д Жμ η7 Қ ққ4 996 ηκ η θқθ6 8 Labib ME Robertson AA The conductometric titration of latices J Colloid Interface Sci 980 V 77 N P 56 8 Қλκ7 0ζ ; μ

185 85 84 Х KCХ қ0ққ 0 θ Қ Қ қ0қ ζ θ Қη40 86 Dmitriyeva IB Tikhomolova KP Chukhno AS Prokopovich PP Starov VM Investigation of the electrosurface properties of NiO and FeO in azole solutions Colloids and Surfaces A: Physicochemical and Engineering Aspects P Қη0 87 II III Ққζ қ0ққ ζμ Қ IV 04 κ η 7κ 8 89 Д Жμ 90 δтcх 9 0қ00ҚҚ 0 7 ζκ58 Қ 974 θ σ ζη қ ζ 999 қ ҚҚ ζη ηқ

186 86 9 қ0ққ ҚҚҚ қη θ 7λ μқλ7θ γalo γalo қ0қ0 θ 4 ηζқ 97 δicl қ0ққ 7 4 ηқκ58 98 Қλκ ζη η κθζ ζλ ηκ0 58 μ Қλ7қ ζқζ 0 0 ηη λ Қζη 47 Қλ77 77

187 87 0 Oshima H Healy TW White LR Improvment on HoggHealy Fuerstenau Formulas for the Interaction on Dissimilar Double LayersJ Coll Interface Sci 98 V 9 No P Oshima H J J Colloid Interface Sci 994 V 68 Қ P55;ibid 04 Electrostatic interaction between two dissimilar spheres: an explicit analytic expression 994 V 7 қ P ққθ Kitahara A in: Cationic Sufactants Ed By Jungermann ENY: Marcel Dekker 970 p Hogg Yang KC Secondary coagulation JColloid Interface Sci 976 v56 H p μ 09 қ00 қ Ққ7 Martynov GA Muller VM Surface Forces in Thin Films and Dispersed Systems Isd Nauk Moscow 96 p 0 0 ҚλθҚ Қκ μ 974 қζλ Fe OH ZrO 999 θқ ζκ7495 Novikova NA Golikova EV Bareeva RS and Chernoberezhskii YuM Aggregation Kinetics of Monodisperse Silica Sol in Aqueous NaCl Solutions Glass Physics and Chemistry 0 Vol 9 No 4 pp 9097

188 88 4 CNaCl=000 CNaCl=00 m CNaCl=0 0 4 m t CNaCl=000 CNaCl=00 CNaCl= t m 50 CNaCl=000 CNaCl=00 CNaCl= t = 0 40 = 055 = Қ0қ CNaCl 000Қ Қ 00Қ қ 0Қ

189 89 0 VkT h 0 60 CNaCl=000 5 CNaCl=00 CNaCl=0 0 0 VkT VkT h 60 h 5 0 = 0 CNaCl=000 CNaCl=00 CNaCl=0 5 CNaCl=000 CNaCl=00 CNaCl=0 0 = 055 = Қ0қ CNaCl 000Қ Қ 00Қ қ 0Қ 40 0

190 90 ζ λ = 055 xi in X N=7 ; Х Қ Х N N xi i 7 xi i 7 қ 7 N xi X D i N x i i N x X i i N s D N x NX i i N 4 G Max xi X N x i G А Л i X ; f ; N ч ч 5 я Ч ; ё я f G G А Л η

191 9 μ ё ζ N A x i i X Ns A N 785 N N A A η N E E x i i ё X 4 Ns N N N N N N E E θ 7 θ sx s N Ё sr s t ; N N 7 t 095; N ё

192 9 κ s Х sr t ; N n s r % Х Х Х 00% Қ0 ё ё λ Х Х s 8 0 r Х sr % 70% Х қ0% Х