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Transcript:

000 μ 05

Дқ Ж қ N N 4

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 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 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 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 IIIηҚ 57 IIIηқ 59 6 65 86 қ 88

8 : қ0

9

0 ; μ ; NaCl ; ; ; ; :

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

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

: 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 04 04 Saint Petersburg; II Қ7 «қ0қζ ; 05» 05; V «қ0ққ ;» I μ Қλ қ0 қζ қ0қη

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 : ; ;

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

6 [9] [0]

7 I [] [45] [6]

8 қθ% ζ7% қ0 0 % [7] ζζ ζ [8]

9 Дқλ0Ж ДҚЖ ДқЖ ДЖ

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

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

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

ηη0 [4045] I

4 Қκ7λ ДηЖ XX ДηζЖ ; ДηηЖ ДηθЖ

5 Дη7Ж ДηκЖ φd φd Дηλθ0Ж φd φd

6 ДθҚЖ Д6] φd [665] φ d φd

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

8 κ= 6 09 0 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

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

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

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

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

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

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

5 I [] μ

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

7 μ = А ℎ 9 h [940] Қ Ққ Ққ қ Д940Ж

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

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

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

4 μ ДҚқ6Ж ДҚқ7] ДҚ8Ж

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]

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

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

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

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 Қ [5] Қ қ W Қ ДҚ54Ж [5] I4

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

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

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

5 ДҚ7Ж ДҚ7Ж Vr μ ДҚ7] μ ДҚ74]

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

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

54 ДҚ78] ДҚ798Ж

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

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

59 6 0 S s S ; ρs Қ ққ 0 055 0 4 % 9 8 5 00 00 000 54 68 080 09 90 085 86 5 04 078 060 6 045 04 60 7 050 0 005 COOH NH NaCl 55 65 SОЯОЧεЮХЭТ εоэхоыtшхонш σкτh [8Ж қ

60 800 R Sc R Sc 00 50 600 400 VNaOH 0 00 4 4 6 VNaOH қ = Қ0қ = 0Қλ [8]: 6 0 N s Қ N ρs ; 000қ% зқ 0 зқ 07 0 λ0

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

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

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 0 00 0 00 Қ00 000 қη

64 қη h 0λ704 ; 0қҚС 07λС [58] [89] 0қҚ С қθ 06 04 0 0 0 0 04 06 08 қθ = 0ηη NaCl = 0 Қ0 NaCl Қ0 Қ0

65 II қ Uef κ= С 0 6 09 0 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 W W y0 kt e 8 ζ II II ДҚλ498Ж 4 қλ қλ nt θқ0 ηқ ққ0

67 = 0ηη η қ0% 7 n*0 4 0 50 l =60 l =5 00 50 00 50 t 00 қ0 a = 055 an n t wt қ 9 қλ n ant wt 9 a nt t w t

68 μ n 00 Д95] 0қ ққ a = 0ζқ n η NaCl n0 қ0% қ n0 = 9 06 06 0

69 8 7 n*0 7 6 5 4 0 50 00 50 50t 00 00 қ = 0ζқ Қ қ = 0 76 [99] VҚҚ 7 n*0 4 0 8 6 4 0 50 00 50 00 50 t 00 қққ a = 0қ Қ қ

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

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 '

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

7 ққζ D 55 θη ққζ D ққζ lgdlg Қ n =қθ7 = 0ққ =0Қλ Қζ% 0% 0 D lgd 45 05 55 65 75 85 0 04 lgλ 04 0 06 0 08 0 00 00 400 500 600 700 λ y = 67x + 6 800 4 ққζ = 0Қλ = 5 7κ0

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 A a V m 7 7 h p p< 05 A a 4 5 70 5 9 V m 6 0 0 0 h p8 p4 p 0η <p < 4 p = h А [05] 59 0 7 08 Д06] ққ ққζ W ққημ = [ Vu + exp ] [ + exp Viu ] ; VАu u = hr 5 ққθ: = «+ + + 6» W ққ7[07]: = +ℎ { } ℎ + exp{ } 7

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 4: = 4 R D μ = 5

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

79 Uef*084 а = 055 а = 0 а = 04 *c 0 4 5 6 7 Н 8 9 4 Қ = 055 Қ; = 0 = 04 000Қ қ NaCl 8 Uef*0 4 а = 055 а = 0 а = 04 *c 0 4 5 6 7 Н 8 9 4 қ = 055 = 04 Қ; = 0 00Қ σкcх қ

80 NH ζ Uef 8 Uef*0 4 а = 055 а = 0 а = 04 *c 0 4 5 6 7 Н 8 9 4 = 055 Қ; = 0 σкcх = 04 қ 0Қ 0Қη ζ Қ σкcх

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

8 қ; η 80 70 60 50 40 0 0 0 4 η 5 6 7 ph 8 9 = 055 εкхяоычгоэкьтгоыσкчшгs Қ қ NaCl = 00Қ η λ0 7% III

8 ДЖ 44' 4 Д08] «= 055» θ СNaCl = 000 70 СNaCl =00 60 Н Н 40 50 40 0 0 0 0 0 0 θ = 055 NaCl = 00Қ 0 0 40 50 ы NaCl ζ0 қ = 000Қ Қ

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

85 Қ Қ r = 0қ Sm қ W Sm r NaCl = 0ηη = 000Қ W r = Қ0қ Sm W 0 608 5* 5 8554 79* 79 586 4* 4 40 47 7* 7 664 8 4 04 4 54 586 00 504 540 688 566 68 847 48 444 90 00 58 677 686 59 640 84 59 549 = 00Қ NaCl 0 94 * 949 5* 5 7486 9* 9 40 808 0* 0 907 5 60 6889 4 4 586 795 56 4 9075 569 607 680 498 47 90 795 554 6 9075 569 607 680 540 56 NaCl = 0Қ 0 048 7* 7 640 44* 44 8895 0* 0 40 005 5* 5 6879 46 46 845 9* 9 586 00 6* 6 6857 54 550 846 97 409 90 00 65* 65 6857 54 550 845 49 50 * қη Қ = 0 r 7% = 055 = 0 = 0 ққ%

86 70 60 50 40 CNaCl = 000 CNaCl = 00 0 CNaCl = 0 0 0 0 4 5 7 6 7 CNaCl = 000Қ CNaCl = 0Қ 9 ph = 0 8 Қ CNaCl = 00Қ 7 λ μ 0 λ0 0 = 0қ =0қ = 0ηη σкcх қ 7%

87 70 60 50 40 0 CNaCl=000 CNaCl=00 0 CNaCl=0 0 4 5 κ = 055 6 7pH 8 9 CNaCl = 000Қ Қ CNaCl = 00Қ қ CNaCl = 0 ζ0 λ0 0 = 0қ = 0ηη = 0қ ҚҚκ Қ00 = 0 қθκ = 0ηη

88 70 CNaCl=000 60 CNaCl=00 CNaCl=0 50 40 0 0 0 4 λ 6 7pH 8 9 = 0 5 CNaCl = 000Қ CNaCl = 0Қ Қ CNaCl = 00Қ Қ0 CNaCl = 00Қ 70 60 50 40 0 а = 0 а = 055 а = 0 0 0 0 4 5 Қ0 = 0 CNaCl = 00 6 7pH 8 9 Қ; = 055 қ = 0 қ

89 III5 = 0ζқ = 0Қλ қ қ ζ r = 0Қλ 5 NaCl = 000Қ Sm W = 0ζқ Sm r W 0 8 49 64 099 89 455 40 0 455 609 98 8 405 586 99 98 5 9 0* 0 90 99 4* 4 9 97* 97 NaCl = 00Қ 0 76 58 5 60 09 0 40 699 46 45 548 78 87 586 6976 * 89 54 88* 88 90 6976 98* 60 54 65* 65 NaCl = 0Қη 0 5 0 7 4896 65 67 40 07 5 4 4878 77* 77 586 06 4* 4 4876 4* 4 90 06 76* 76 4876 9* 9 * = 09 4% = 04 NaCl θθ қ0%

90 ҚҚ Ққ 70 CNaCl=000 60 50 CNaCl=00 CNaCl=05 40 0 0 0 0 ҚҚ CNaCl = 000Қ 4 5 6 7 Қ CNaCl = 00Қ 8 9 ph = 0Қλ қ CNaCl = 0Қη 70 CNaCl=000 60 50 CNaCl=00 CNaCl=05 40 0 0 0 0 Ққ CNaCl = 000Қ 4 5 6 7 Қ CNaCl = 00Қ 8 9 ph = 0ζқ қ CNaCl = 0Қη

9 Қ = 0Қλ Қ = 0ζқ қ NaCl 00Қ 0κη = 0ζқ 07κ = 09 70 60 а=09 а=04 50 40 0 0 0 0 Қ Қ = 0ζқ 4 5 6 7 8 ph қ 9 CNaCl = 00Қ = 0Қλ

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

9 4 m 0 50 00 50 00 50 00 t 4 = 0 0 CNaCl = 00Қ Қ n0 = 07 n0 = 6 0 III a = 0 III Э я ч a = 0βγ 0 CNaCl = 000 00Қ 0Қ η Қη CNaCl = 000Қ m = Қ Қ CNaCl = 00Қ η m = 5 m = қ7 қ CNaCl = 0Қ = 0 λ0 NaCl Қθ

94 4 m CNaCl=000 CNaCl=00 CNaCl=0 0 50 00 50 00 50 00 t Қη = 0 0 Қ 00Қ қ 0Қ NaCl: 000 ; n0 = 6 0 4 m CNaCl=000 CNaCl=00 CNaCl=0 0 50 4 00 50 00 CNaCl=0 t CNaCl=00 00 CNaCl=000 m 50 0 50 00 50 00 50 00 t Қθ = 0 σкcхμ 000Қ n0 = 07 Қ 00Қ қ 0Қ λ0 ;

95 η Қθ CNaCl = 000 00Қ 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 a = 0 t =0T t =T 0 λ0 n0 = 07 СNaCl n0 = 6 0 а m't=0t* m't=t 000 00 0 000 5 9 8 5 00 0 0 9 9 000 0 0 586 00 0 000 0 5 0 0Қ 90 00 0 0 5 0Қ 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 Қ ζ0 λ0 t = T m lgcnacl CNaCl = 0Қ t =0T 7 4 5 ph 0 ph 40 ph λ0 m't=0t 0 5 0 5 0 05 lgcnacl 5 0 ζ0 m't=t 0 λ0 5 0 5 0 05 lgcnacl Қ7 a = 0 NaCl 090 t = 0T t = T Қη Қ7 mt NaCl

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 W = = 0 λ0 NaClμ 000Қ 00Қ 0 Қκ Қ қ 0 CNaCl=000 0 VkT CNaCl=00 CNaCl=0 00 0 40 60 h VkT VkT 0 0 0 0 40 60 0 0 0 40 60 h CNaCl=000 CNaCl=00 CNaCl=0 80 h CNaCl=000 CNaCl=00 CNaCl=0 Қκ = 0 λ0 NaCl 0 : 000 00 0 W 4 W

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 000 0 0 004 000 455 6 00 44 000 00 аа а ау я W W 0 6 00 0 >00 708 0 46 >00 884 0 00 89 >00 69 005 06 0 8 >00 5 000 5899 0 00 8 >00 549 00 465 04 0 >00 76 0 0 6 7 * 00 0 0 40 0 586 0 90 * Vm = 0 kt

0 NaCl = 0қ 9 λ NaCl 0 V 5 0 05 00 lgcnacl Қλ λ0 = 0 NaCl kt CNaCl = 000Қ V = 6 kt CNaCl = 0Қ λ0 қ0 t = 0T t = T

0 5 m't=0t m' m't=t 0 5 0 05 00 0 6 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 = 000 00Қ 0Қ Қ

0 NaCl n = 7 06 ққ қ n = 75 06 λ0 ққ n*0 6 4 CNaCl=000 CNaCl=00 CNaCl=0 0 50 8 7 6 CNaCl=00 CNaCl=0 50 00 50 t 00 8 CNaCl=000 n*0 00 7 n*0 6 CNaCl=000 CNaCl=00 CNaCl=0 4 4 0 0 50 00 50 00 50 00 t 0 50 00 50 00 50 00 t = 055 0 0 λ0 NaCl: 000 00 0 8 6 = 055 η n0 = 06 NaCl: 000 00

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 0 40 586 90 m't=0t m't=0t 000 00 0 7 0 0 7 000 0 0 00 0 000 0 0 0 4 0 0 00 0 000 0 0 0 0 0 00 0 0 0 nt С а С <0 0 С <0 С >0 С <0 NaCl

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

06 0 ζ0 5 m't=0t λ0 0 5 0 05 lgcnacl 5 m't=0t 0 ζ0 0 λ0 5 0 05 lgcnacl қ a = 055 σкcх 0λ0 t = 0T t = 0T

07 я IIIβγβ ч = 0ηη ч ч Л = 055 NaCl 000Қ 00Қ 0Қ II 0 CNaCl = 000 00Қ 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

08 0 ph VkT CNaCl=000 CNaCl=00 CNaCl=0 5 0 0 40 60 80 h ph6 ph9 VkT 5 VkT 0 0 40 60 0 80 0 h 60 CNaCl=000 40 CNaCl=00 CNaCl=0 80 CNaCl=000 h CNaCl=00 CNaCl=0 = 055 0 0 n0 = 06 90 NaCl : 000 00 = 055 λ0 NaClμ 000Қ 00Қ

09 0 kt W Қ қ W 6 6 = 0ηη σкcх 0 λ0 ph 0 40 586 90 CNaCl M Vmа kt hmax V kt hmin 000 46 00 00 8 4 0 7 000 W W 6 >00 9 04 68 80 40 7 0 875 09 00 0 >00 848 00 80 0 45 >00 54 0 8 06 7 49 >00 0 000 6449 0 00 68 >00 06 00 5968 0 0 >00 769 0 45 0 8 7 >00 000 6869 0 00 75 >00 069 00 5968 0 0 >00 77 0 45 0 8 7 >00 а аа ау я CNaCl = 0Қ Қκ kt қ ; θ λ0

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

0 m't=0t lgc = 0ηη σкcх W λ0 қ 0 қ5 5 қη 0 lgw ζ0 0 W λ0 5 = 0ηη σкcх 0 0 90 05 00 lgc NaCl CNaCl = 00Қ 0 Қ0 CNaCl = 0 lgw = Қ 0 λ0 C lgwlgc η W NaCl қ6 m't=0t 0 90

mtv 090 0 NaCl CNaCl > 000Қ қθ W Vmax = 8 kt ζ0 λ0 қθ Қ V V ~ 0 kt V қ6 5 m't=0t 0 = 0ηη 5 0 0 ζ0 0 λ0 05 λ0 t = 0T 00 0 4V kt 5

III4 a = 0 IIIβζ Э я ч a = 0β = 0 n0 = 0 06 a = Қ0қ 0 NaCl = 000 0Қ қ7 0 7 n*0 5 0 5 CNaCl=000 CNaCl=00 CNaCl=0 0 50 00 50 00 50 = 0 00 t қ7 0 NaClμ 000Қ ; n0 = 0 06 0 Қ 00Қ қ 0Қ CNaCl = 000Қ 00Қ Қn = 94 06 Қ Қn = 0 06 η қ n0 = 0 06 NaCl 0Қ

4 Қn 06 06 η Қn = 0 λ0 7 n*0 қκ NaCl 0 5 CNaCl=000 CNaCl=00 CNaCl=0 0 5 0 50 00 50 00 50 t 00 0 7 n*0 CNaCl=000 5 CNaCl=00 CNaCl=0 0 5 0 50 00 50 00 50 00 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

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

6 7 a = Қ0қ n0=0 06 СNaCl 000 00 0 000 00 0 000 00 0 000 00 0 0 40 586 90 m't=0t m't=0t 5 5 0 0 7 0 0 С а 000Қ >0 >0 >0 45 mt=0t 5 0 ζ0 5 λ0 5 05 lgcnacl қλ a = 0 σкcх 0λ0 t = 0T

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

8 CNaCl=000 VkT CNaCl=00 CNaCl=0 0 0 40 60 80 h 4 4 VkT VkT 0 0 40 60 0 h 80 0 60 80 h CNaCl=000 40 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

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 000 5 7 008 00 7 9 000 86 00 CNaCl W W 57 08 7 09 8 5 6 00 095 >00 445 6 4 05 6 >00 7 0 84 6 9 7 0 000 646 0 00 08 >00 54 00 477 08 0 87 >00 9 0 849 05 8 6 >00 0 000 947 0 00 5 >00 567 00 844 0 0 05 >00 4 0 49 0 4 69 >00 0 а аа ау я 0 40 586 90

0 CNaCl = 0Қ λ0 κ 4 kt 0 ; W > 00 κ W Қ0 σкcх = Қ0қ NaCl V Қ 7 6 5 ζ0 4 λ0 0 lgcnacl Қ = Қ0қ NaCl ζ0 90 VlgCNaCl V V = 4 6 kt CNaCl = 000Қ kt CNaCl = 0Қ κ

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 λ0 05 0 = Қ0қ lgc NaCl қ σкcх ζ0 90 κ ζ0 λ0 Қ қ CNaCl = 00Қ

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

m CNaCl=000 CNaCl=00 CNaCl=05 0 m 50 00 50 00 50 7 7 CNaCl=000 6 5 CNaCl=00 CNaCl=05 00 t CNaCl=000 m 6 5 CNaCl=00 CNaCl=05 4 4 0 50 00 50 00 50 00 t 0 50 00 50 00 50 00 t 7 CNaCl=000 m 6 5 CNaCl=00 CNaCl=05 4 0 50 00 50 00 00 t 50 = 09 0 λ0 σкcхμ 000Қ Қ 00Қ n0 = 8 0 қ 0Қη λ0μ n0 = 0 06 0 :

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

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

6 CNaCl = 0Қη Vmax = 4 kt 4 V = kt λ = 09 σкcх 0 90 ph 0 40 586 90 CNaCl M Vmа kt hmax V kt hmin 000 08 07 00 00 068 0 05 5 000 W W 758 >00 487 0 7 >00 75 04 7 4 09 90 09 00 08 >00 944 00 044 06 0 6 >00 7 05 68 04 7 4 >00 000 665 09 00 059 >00 85 00 5 0 99 05 50 05 4 07 69 000 8 6 00 785 648 50 00 5 0 9 05 49 а аа ау я 05 = 0Қλ 4 CNaCl = 000Қ λ0

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

8 0 00 VkT CNaCl=000 80 CNaCl=00 CNaCl=05 60 40 0 0 0 40 60 h 0 0 00 VkT CNaCl=000 80 60 CNaCl=00 CNaCl=05 40 0 0 5 0 4 = 09 σкcхμ 000Қ Қ 00Қ қ 0Қη 0 λ0 0 h

9 III6 а = 04 III6 Э я ч a = 04 0 λ0 NaCl = 000Қ 00Қ 0Қη 5 n0 = 9 06 0 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

0 m CNaCl=000 CNaCl=00 CNaCl=05 0 00 50 CNaCl=000 m 50 CNaCl=00 CNaCl=05 00 50 00 CNaCl=000 m t CNaCl=00 CNaCl=05 0 50 00 50 00 50 0 00 t 50 50 00 50 00 t CNaCl=000 m 00 CNaCl=00 CNaCl=05 0 50 00 50 00 50 00 t 5 = 04 000Қ 0 Қ n0 = 9 06 NaCl η = 00Қ 00Қ қ λ0 0Қη σкcхμ m = Қκ

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 0 40 586 90 m't=0t m't=0t 05 0 0 0 0 0 000 00 05 000 6 7 00 05 000 5 6 6 9 5 00 5 4 7 000 00 05 a = 04 σкcх t = 0T t = 0T 0λ0 6

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

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

4 ҚҚ = 0ζқ σкcх 0 90 ph 0 40 CNaCl Vmа kt hmax V kt hmin 000 86 09 0 00 96 07 05 88 000 00 W W 68 >00 69 04 >00 9 07 44 6 06 0 40 00 956 >00 5 70 04 >00 9 000 454 4 004 887 >00 79 00 0 7 05 89 08 4 6 54 0 670 708 8 а аа ау я 05 586 05 90 000 00 05 ζ0 CNaCl = 000Қ Vh 7 Қ Қ0 W > 00 0ζ kt W =қλ қ

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

6 40 40 CNaCl=000 0 0 CNaCl=000 VkT 0 CNaCl=00 CNaCl=05 VkT CNaCl=00 CNaCl=05 0 0 0 0 0 0 40 0 60 h 40 h 60 CNaCl=000 0 0 0 CNaCl=00 CNaCl=05 5 VkT 0 0 40 h 5 0 7 = 0ζқ 0 λ0 σкcхμ 000Қ Қ 00Қ қ 0Қη 60

7 σкcх 0 NaCl κ CNaCl = 000Қ kt 44 kt CNaCl = 0Қη 0 5 logw V 4 5 0 05 00 0 0 5 0 5 0 lgcnacl κ = 0ζқ W NaCl = 0ζқ W λ0 σкcх κ CNaCl = 00Қ 0

8 Қ0 0 λ m't=0t V 0 0 05 kt CNaCl = 0Қη 44 kt 5 05 0 0 0 04 λ 06 = 04 0λ0 t = 0T 0 ζ0 λ0 NaCl

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

40 4 m a = 0 a = 055 a = 0 0 50 00 50 00 00 t 50 40 = 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

4 W = Қη W = Қθ 0 W = W = Қη W = 6 W = ДЖ V Vmax Қ 9 8 4 a= 0 a = 055 a = 0 7 6 5 = 0 VkT Қ 4 0 0 қ 0 = 0ηη 40 60 h 80 = Қ0қ CNaCl = 00

4 Ққ a 05 c CNaCl 00 n0 07 m't=0t 0 Vmа kt 44 V kt 0 0 40 055 586 0 қ Қ06 0 45 8 0 90 0 қ0 Қ06 49 4 ё m't=0t Қ 4 = 0 = 055 = 0 = 0 t m Д09 05]

4 ζқ 5 VkT 50 00 0 0 0 0 h 50 VkT a = 0 a= 055 a= 0 00 50 5 00 = 0қ Қ = Қ0қ = 0ηη қ 50 0 0 0 h III8 ДқҚЖ μ x = +Сa С V Қ :

44 f't = 0 tmax ft φ0 ζ 00 50 ζ 00 050 000 000 V 00 00 00 400 500 V kt μ а n0 = + 6 Г r а Қ IIIIIIқθ t = 0T 0T Қ T

45 ; 90 0 40 a*05 c n0*07 m't=0t 0 0 5 0 00 7 0 90 0 40 90 0 а r *05 а φ *07 kb 0 0 6 645 09 7 068 79 45 9 00 0 08 9 5 58 08 8 06 0 0 04 90 55 894 54 04 0 07 9 56 08 8 06 0 0 07 86 60 769 0 004 00 0 07 9 56 08 9 06 0 07 86 60 769 0 0 04 00 5 04 76 8 7 00 044 80 9 4 5 07 0 5 46 95 6 04 775 6 65 4 05 0 7 46 8 57 4 56 0 00 0 00 04 75 65 05 0 49 894 0 464 9 9 0 00 07 747 07 67 08 9 06 05 0 60 05 8 07 7484 07 67 08 7 06 7 074 7478 07 68 08 49 06 40 00 586 00 055 0 04 0 0 0 4 а 096 00 586 6 00 586 а CNaCl 484 54 4 4 8 0 λ V > 0 kt =0қ ё ё V 0kT

46 t = 0T ζқ m t=0t 00 m't=0t 00 00 000 000 050 00 50 ζζ m't=0t m't=0t 0η ё m't=0t m't=0t

47 τ >τ τ τ = 0ζқ ζ5 t = 0T 5 m't=0t ζη 5 m't=0t 05 0 500 000 500 а қ0 ζ00 = 0ζқ = 700 Ққ00

48 m' ζ6 00 m' m't=0t m't=0t m't=0t 46 50 m't 00 050 000 500 000 500 000 500 а 000 а η Қ ДҚ74Ж

49 r ζ7 5 m' m't=0t 4 m't=0t m't=0t ζ7 m' r 0 0 0 0 0 40 50 60 r *05 50 05 r r r η 6 05 r [74Ж қ Қ0 07 r r ДҚ7Ж φ = 4

50 φ ζ8 50 m't=0t m't=0t m't=0t m't ζκ 50 m't φ 050 000 00 00 00 400 500 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

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

5 Қ4 = 0Қλ 0 40 586 a 05 c CNaCl 00 05 00 05 09 n0 0 8 00 а m't=50t m't=5000t 0 6 6 7 6 45 7 4 8 4 8 00 r 05 5 7 50 6 0 0 76 04 9 04 76 04 9 04 kb 07 05 4 07 05 45 79 04 6 07 а φ η mt φ Қ05 Қ =0қ Қ4 <Қ μ ζ0 NaCl = 00Қ t = T ДҚ7]: = = + 8 9

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 + 5 6 7 + ns t =c exp nsd t = 8 9 ё

54 ё μ 4 nsd ns ё 0 56 9 μ ns = exp nsd = exp t t Қn t= ζ0 nsd NaCl = 00Қ t=t n = 055 07 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

55 5 φ = 07 kb = 05 r = 6 05 III а = 055 III а = 04 49 = 055 = 04 NaCl = 000Қ 40 ҚμҚ Қ 07 θқκ ζққ + 405 +қ0 ζ0 m = m = 0 ζ0 μ қη0

56 η0 ζ0 η0 m pн ph 40 0 50 00 50 00 50 00 t 49 = 055 = 04 NaCl = 000Қ 40 а = 0 III а = 09 = 09 = 0 NaCl ҚμҚ = 000Қ ζ0 5 m 0 ph ph 40 5 0 50 00 50 00 50 00 t 50 = 0 = 09 NaCl = 000 40

57 ηζ0 + 5 7 +540 40 m = Ққλ η η0 Ққ0 50 қ m = ηζ ζ0 m = Қ0κ қ00 III4 ζ0 II = 045 +ζқ қ «Д40Ж» 5

58 σкcх қ қ NaCl = 0Қη = 050 ζλ λ 60 50 ФИ Ц ФИ Ц 5 40 NaCl 0 0 0 0 5 NaCl = lg C 000Қ Қζ m = 9 η

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 0 0 50 00 50 00 50 t 00 5 Қ ζη Қζ 5; III5 III5

60 [79] 5 μ +η 4 60 : : : : +қλη D=09 D=0 D=09 D=0 40 0 0 0 5 0 5 0 % 4 0 40 60 5 = 0қ = 0Қλ 4

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

6 4 % % % 4 m 4 0 50 00 50 00 50 00 t 4 % % % 4 m 4 0 0 50 00 50 00 50 00 t 54 = 0Қλ Қ ζ = 0қ NaCl = 000 55 = 0қ = 0Қλ NaCl = 000 Қ ζ η5 Қζ% m = қζ η m = w = Қκ%

6 w = қθ% μ Қ0 μ Қζ% m = ққ Қλ% m = Қη қθ% m = 9 қ0% Ққ0 4 4 % 0 % 6 % 4 m 4 0 50 00 50 00 50 00 t 00 50 00 t 4 4 % 0 % 6 % 4 m 4 0 50 00 50 55 = 0 = 09 ζ NaCl = 000Қ Қ

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

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

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

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8 7 қ0 Қλ7λ 7қ0 40 қ00κ ηқ λ ηθ58 9 қ00λ 8 Қ μ : 96 4 Hidi GM Reply to comments of N A FЮМСЬ τч ЭСО BЫШаЧТКЧ МШКРЮХКЭТШЧ ШП КОЫШЬШХЬ J Colloid Int Sci 966 V N P 0 4 Sontag H Strenge K Coagulation kinetics and structure formation Berlin: VEB Deutscher Verlag der Wisscnschhaften 987 4 Gillespie JJ An extension of Goodeve's impulse theory of viscosity to pseudoplastic systems Jl of Colloid Sci 960 V 5 Is P 9 44 Smoluchowski M Versach einer mathematischen Theorie der Coagulationkinetik colloider Lösungen PhyzChem 97B9S968 45 Tuorila P KolloidBeih Über die rasche und langsame Koagulation von polydispersen Systemen 96 P 944 46 47 Қλκ ζη λλ995 Kruyt HR Die Ausflockungsgeschwindigkeit des Selensols Kolloid Z 9 B S9 48 Wiegner G Tuorila P Ueber die rasche Koagulation polydisperser Systeme Colloid Polym Sci 96 V 8 N P 49 εǘххоы H ГЮЫ TСОШЫТОНОЫ ОХОФЭЫТМСОЧ ХКНЮЧР ЮЧН НОЫ KШКРЮХКЭТШЧ НОЫ Kollide Koll Beihefte 98 V 6 H 8 9 P 57

8 50 εǘххоы H ГЮЫ AХХРОЧОТЧОЧ TСОШЫТО НОЫ ЫКЬМСОЧ KШКРЮХКЭТШЧ DТО Koagulation von stäbchen und Blättenkooliden; die Therie beléebig polydisperser Systeme und der Strömungs Koagulation Koll Beihefte 98 V 7 H P 56 5 қ00κ 70 θ 7θη77 5 Stechemesser H and Sonntag H Ohuslav Dobias Hansjoachim Stechemesser 005 C88 5 54 0 7ζ Қλ 8 Adachi J Dynamic aspects of coagulation and floculation AdvColloid Intrface Sci 995V56P 55 56 98400 Honig EP Roebersen GJ and Wiersema PH Effect of hydrodynamic interaction on the coagulation rate of hydrophobic colloids J Colloid Interface Sci 6 97 9709 57 58 984 ζθ қ ққη0 Lyklema J Progress in interfacial chemistry in relation to colloid stability Pure ApplChem98 V ҚҚ P9909 59 60 μ Қλ7λ 05 Shulepov SY Frens G Surface roughness and the particle size effect on the rate of slow perikinetic coagulation J Colloid Interf Sci 995 V 70 P44

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 P88 6 994 ηη η θζқ 647 6 Smith AL Thompson L J Colloid Interf Sci 98 V 77 P557 64 Thompson DL Pryde D Weak aggregation of nonionic surfactant stabilised dispersions J Chem Soc Faraday Trans 98V 77 P405 65 Thompson DL Editor Modern Methods for Multidimensional Dynamics Computations in Chemistry World Scientific Singapore 998 66 Cahill J Cummins PG Staples EJ and Thompson L Size distribution of aggregates in flocculating dispersions J Colloid Interf Sci 987 V 7 P40644 67 Jeffrey GC Ottewil RH Reversible aggregation Part Kinetics of reversible aggregation Colloid Polym Sci 990 V 68 N P 7989 68 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 P8790 69 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 80 70 Dukhin SS Sjoblom J Emulsion and Emulsiom Stability Ed Sjoblom J New York: Marcel Decker 996 P4 7 μ Қλ7λ 0

84 7 Қλλθ ηκ 64 7 005 θ7 κқ9 74 75 008 70 Қ θ Kovalchuk N Starov V Langston P Reversible coagulation of colloidal suspension in shallow potential wells: direct numerical simulation 009 7 ζ ζλ7 506 76 μ Қλκζθκ 77 μ 97 Қ5 78 ζ μ 9 ηη0 79 Д Жμ 000 80 8 995 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

85 84 Х KCХ қ0ққ 0 θ Қ007 85 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 007 00 P Қη0 87 II III Ққζ қ0ққ ζμ Қ0 0 88 IV 04 κ η 7κ 8 89 Д Жμ 90 δтcх 9 0қ00ҚҚ 0 7 ζκ58 Қ 974 θ σ ζη7 46 9 қ ζ 999 қ ҚҚ ζη ηқ

86 9 қ0ққ ҚҚҚ 94 96 қη θ 7λ74 95 96 μқλ7θ γalo γalo қ0қ0 θ 4 ηζқ 97 δicl қ0ққ 7 4 ηқκ58 98 Қλκ ζη η κθζ869 99 00 0 987 ζλ ηκ0 58 μ Қλ7қ ζқζ 0 0 ηη λ Қζη 47 Қλ77 77

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 48449 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 P487495 05 06 986 ққθ Kitahara A in: Cationic Sufactants Ed By Jungermann ENY: Marcel Dekker 970 p 89 07 Hogg Yang KC Secondary coagulation JColloid Interface Sci 976 v56 H p575576 08 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

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

89 0 VkT 5 0 0 40 h 0 60 CNaCl=000 5 CNaCl=00 CNaCl=0 0 0 VkT 0 5 5 VkT 0 0 0 40 60 0 40 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

90 ζ λ = 055 xi in X N=7 ; Х Қ Х N N xi i 7 xi 5 07 8 06 7 i 7 қ 7 N xi X D i N x i i 7 8 06 7 N x X i i N s D 7 0 0 957 00 6 N x NX i i 957 00 09 05 N 4 G Max xi X N x i G А Л i X 6 0 08 7 957 00 095; f ; N 7 077 ч ч 5 я Ч ; ё я f 08 077 G G А Л η

9 μ ё ζ N A x i i X Ns A 785 0 6 7 09 0 5 N 785 N N 00 6 7 5 7 7 00 5 A A η N E E x i i ё X 4 Ns 4 805 0 7 09 0 5 4 6 7 N N N 77 7 85 85 85 N N N 5 7 7 7 5 6 85 E E θ 7 θ sx s N 09 0 5 7 7 7 0 5 8 Ё sr s t ; N 09 0 5 646 76 0 5 9 N 7 t 095; N 7 646 ё

9 κ s Х sr t ; N n 8 0 6 76 0 5 0 s r 76 0 5 70% Х 8 0 6 70 00 Х Х 00% Қ0 ё ё λ Х Х s 8 0 r 6 8 05 Х sr 76 05 00 % 70% Х 8 0 6 қ0% Х