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1. Film Formation of
Waterborne Coatings
Joe Keddie
University of Surrey
Guildford,
iS
Emulsion Polymerization Procassss Course
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2. Idealised View of Latex Film Formation
Polymer-in-water dispersion
O O O 0 O
OO
O
O O O O
O O O O
0
O
O Water loss
O
Homogenous Film
Close-packing of particles
T > MFFT
lnterdiffusion
and coalescence
Deformation
of particles
Optical Clarity
T » T Dodecahedral structure
(honey-comb)
g
Emulsion Polymerization Processes Course
16 September Euctâș, Donostia-can Sebastian
J.L. Keddie - Copyright reserved 2005
3. Sta es of Latex Film Formation
Dark field optical
microscopy
Atomic force microscopy
TEM on C replica
4. Overview
J.L. Keddie - Copyright reserved 2005
âą Factors affecting Minimum Film Formation
Temperature MFFT
âą Lateral and vertical drying
âą Particle packing
âą Fundamental driving forces for particle
deformation
⹠Diñusion and particle coalescence
âą Factors influencing surfactant distribution
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16 September 2005, Donostia-San SebastiĂĄn
5. ical Mor holooies
J.L. Keddie - Copyright reserved 2005
Randomly-packed array of
deformable particles in dry film
Source: A. Tzitzinou e 000)2695
H O L Y
Particles are flattened at their
boundaries in dry film
|JITl X
A
F
M Images
1
âą
ym x1.5 ym
E ..:.ion y e z
a
o
o âuce se33ou2
16 September Euctâș, Donostia-can Sebastian
uniyer sJond del Pais /asea
6. ical Mor holooies
16 September Euctâș, Donostia-can Sebastian
J.L. Keddie Copyright reserved 2005
Voids in randomly-packedarray of particles:
Yetfilm is optically transparent
Emulsion Polymerization Processes Course
7. Percolating Phase within Deformed Particles
From: R. Mezzenga ef a/., âTemplating Organic Semiconductors via Self-
Assembly of Polymer Colloids,â Science 299 (2003) p. 1872.
ay EmuIs PoI P Cou
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J.L.Keddie -Copyright reserved atâș05
8. Measurin
J.L. Keddie - Copyright reserved 2005
MFFT
Picture courtesy of Dr P. Sperry, Rohm and Haas
Emulsion Polymerization Processes Course
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9. Hot
+10°C
J.L. Keddie - Copyright reserved 2005
-10°C
Clear
Formation Temperature
(MFFT)
C l o u d y
Picture courtesy of Dr P. Sperry
Emulsion Pol merization Processes Course
16 September 2005, Donostia-San SebastiĂ n
10. Factors Affecting FFT
J.L.Keddie -Copyright reserved atâș05
âąMFFThasanimprecise definition - subjectto
h
u
ma
nperception
âą Usually is within a few degrees of the glass
transition temperature of the polymer
âąOptical claritycanincrease over time w
i
t
hfurther
coalescence ofparticles
âą For the same polymer, MFFT decreases with
particle size. Driving force for coalescence is
higher for smaller particles. Also, there is an optical
eñect: less light scattering from smaller voids!
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11. Effect of Particle Size on FT
J.L.Keddie -Copyright reserved atâș05
ae-
0 1OO 500 800
ZOO 300 400
Particle Size (rim)
" Th Ot the latex is
37 - 40 O
Âą
Source: D.P. Jensen & L.W. Morgan, 1. Appl. Pol. Sci., 42 (1991) 2845.
Emulsion Polymerization Procassss Course
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12. EffectofParticle Sizeo
n FT
1.0
0.0 0.2 0.4 0.8 0.8
Fraction of 458 nm Particles
m
B
l
endof6
3n
mand4
5
8
n
mparticles w
i
t
ha
n
averageTtof3
8°C.
Source: D.P. Jensen & L.W. Morgan, 1. Appl. Pol. Sci., 42 (1991) 2845.
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13. i Latex il
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15. Films dr first in the thinnest re ions
Hard particles
Film
âą = SI min
Relevant when coating large surface areas:
lateral transport of water is observed
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17. Theory: Reduced capillary pressure
Emulsion Polymerization Processes Course
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J.L. Keddie - Copyright reserved 2005
controls /afera/ ryi
âą Reduced capillary pressure, pâ can pin the
water at the film edge.
20
* 75
âą a = particle size
âą H = film thickness
âą E â
â
evaporation rate
A.F. Routh and W.B. Russel, A.I.Ch.E.J., 44 (1998) 2088.
* " * ' H Surface tension;
viscosity;
solids fraction
18. Wet,
colloidal
dispersion
imagi lateral
22 mm
J.M. Salamanca et at., Langmuir, 17 (2001) 3202.
Emulsion Polymerization Procassss Course
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2.6 mm
Packed
particle
bed filled
with water
MR Image
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19. 109
160
Emulsion Polymerization Processes Course
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J.L. Keddie - Copyright reserved 2005
W
a
t
e
ris n
n
e
da
tt
h
efilme
d
g
e
PC 1.0
w
h
e
nthereisa P
c
PC 420
22 mm
2.4mm
time (hr)
22 mm
H = 1.2 mm and a = 25 nm H 0.32 mm and a 4.4 ym
20. O
.
5
Emulsion Polymerization Processes Course
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J.L. Keddie - Copyright reserved 2005
0
.
4
0
.
3
_ 02
0.1
Experime
10-2
10â
theory
Lower t
h
i
c
k
n
e
s
s
,
larger par
t
i
cl
e
size, a
n
dslower
evaporation r
a
t
e
e
n
c
o
u
r
a
g
e
uniform lateral
drying
21. Experimentai Evidence for
Verticai Non-Uniformity
Cryogenic
SEM
Densely-packed
particle layer
E. Sutanto et a/., in
Film Formation in
Coatings, ACS
Symposium Series 790
(2001) Ch. 10
22. Theory: Peclet number for
vertical dryi uniformity
âą Competition between Browcian diffusion that
re-distributes pai1icles and evaporation that
causes particles to accumulate at the surface
Emulsion Polymerization Processes Course
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J.L. Keddie - Copyright reserved 2005
The Univer siry of the Bcsrr a Com ry
23. Experimental Observation of
Brownian Movement
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Phenomenon was
first reported by a
Scottish botanist
named Brown (19
cent.)
Brown observed the
motion of pollen
grains but realised
that they were not
living.
Brownian motion
26. muiations of the Vertical
Distribution of Pai1icles
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Close- *mâ ,
packed
0.5
0.45
0
Pe= 0.2 ,,
02 0.4 0.6
Top
Vertical Position " z
27. Close-.
packed
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mulations of the Vertical
istribution of Particles
0.5
n 0.2 0.4 0.6
Vertical Position
1
28. mulations of the Vertical
istribution of Particles
0
.
O
0
.
2 0.1 0
.
8
Pe 10
Vertical Position
D.8
m inamâșmâči i miyiâč*mimm*imâči i i «m «
l6SepmmberzU0b,Donosta<an:âșebasâčan
JL.KxNe-CpydgMmaenmdssB
t-0.1
1
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29. GARField depth profiling magnet
for planar samples
Characteristics :
âą 0.7 T permanent magnet
(Bo)
âą 17.5 T.m-1 gradient in the
vertical direction (Gb)
P. M. Glover, et al., J.
Magn. Reson. (1999)
139, 90.
Gravity
B,
Abilities :
âą accommodates samples of 2
c
mby 2c
marea
âą achieves better than 10 ym
pixel resolution!
B,
RF Coil
Emulsion Pol merization Processes Course
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Signal inJensity
30. " " " " " â E y e f ? B P ? 8 f
with simulations
0.45
0.3
* 0.I fi
0
â
50 U
âą Slow evaporation rate, small particle size, low film
thickness and low serum viscosity favor uniform
vertical drying.
High humidity Pe = 0.2
H 255 ym, E = 0.2 x 10-8 ms-1, D = 3.23 x 10-12 m2s-1
0.75
W 10hours
â
a
â14 hours
8o
.
J.-P
. G
o
r
c
e et
al., Eur Phys J
E, 8 (2002) 421
Height (qm)
Emulsion Pol
September 2005, Donoctia-San 5ebasti8n
J.L.Kaddie- Copyright racarvad2XIS
31. with simulations
âą High evaporation rate, large particle size, high film
thickness and high serum viscosity favor non-uniform
vertical drying.
Flowing Air Pe 16
D = 3.23 x 10 1* m2
sâ1
H = 340 yâčm, E = 15 x 10â8 msâ1
.2 0.7
05
:c 0.1
ttiinute.s
There is no
$ =0.15 discontinuity
inthew
a
t
e
r
oncentration.
32. ixed modes of ryi
Flowing air: High E and Static air: Low E and non-
vertical uniformity of water uniformit of water vertically
Time
Emulsion Pol merization Processes Course
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33. i I acki
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34. Particle Packin
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J.L. Keddie - Copyright reserved 2005
Defects
Requires monodisperse
particle sizes
Slow drying favours
ordering
FcC
Packing defects are often-
associated with particles of,.
differing size!
Particles of âwrongâ size
Emulsion Pol me
BCC
35. Solids Fraction of Packed Particles
16 September 2005, Donostia-San SebastiĂ n
J.L. Keddie - Copyright reserved 2005
âąIfmonosized particles packinto aface-
centered array, thevolume fraction of solids, g
,
is0.74 - thedensest possible for hard spheres.
âą If the particles are randomly-packed, g= 0.6
âą If smaller particles fit into the void space
between larger particles, then g will be higher.
âą Also, if an electric double-layer prevents
particle-particle contact, then g will be lower at
âclose packing".
Em on Po er at o P ocesse Cou e
36. Effect of Double-Layers
Confinement of particles but without
particle/particle contact
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37. Solids Fractions of Hard Particles
Emulsion Polymerization Processes Course
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J.L. Keddie - Copyright reserved 2005
Solids fraction is
74 voIO
âșt for FCC
packing of both sma
and large particles
If small particles fit into the
voids between large
particles1the packing
fraction can be increased!
38. Cubic
stal Structure
# Nearest
Nei hbors
Large/Small
Ratio
CsCI(Simple) 8 1.37:1
NaCI (Face-centred) 6 2.41:1
ZnS(Diamond) 4 4.45:1
Formation of loidal Crystals
Emulsion Polymerization Processes Course
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These size ratios are required to create various types of
colloidal crystal:
This strategy requires tight control of particle sizes and
controlled drying conditions.
An alternative approach is to disperse large particles in
a continuous phase of small particles.
40. Critical Volume of Particle to Achieve
a Continuous Phase
Enough small particles
to percolate around
larger particles
Large/Small Ratio
41. Example of Morphologyfrom the
Packing of BimodalParticles
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Atomic force microscopy images of a latex film made by
blending 80 wtO
âș300 nm particles with 20 wto
A 50 nm particles
1.5 km x 1.5 ym
Source: A. Tzitzinou et al., Macromolecules, 33 (2000) 2695.
42. In Latex with Bimodal Size Distribution:
Number Fraction x Weight Fraction
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Example: 10:1 ratio of Large:Small Particles
Weight/Vol. Fraction Large, Number Fraction Large
0.01 0.00001
0.10 0.00011
0.50 0.00100
0.95 0.01865
0.97 0.03132
0.99 0.90082
Actual sizes are irrelevant. Calculations assume large and
small particles have the same density.
43. Effects of Shear Stress
on Colloidal Dispersions
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With no shear under a shear stress
RS Bulletin, Feb â04, p. 88 Confocal Microscope Images
44. ec i
i I eformati
esce ce
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47. ParticieCoaiescence
Same polymer volume before and after coalescence:
Surface area of N particles:
4/Vx/*
Sur1ace area of particle made
from coalesced particles:
4x/Y
Change in area, bA - 4xz*(/V-V 3)
In1Lofl
a
t
e
x(50%solids), w
i
t
haparticle diameter o
f
200nm, N is -1.3 x104m2
101
7
particles. Then bA
Emulsion Polymerization Processes Course
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48. rĂxi Force for Coal
Reductionin Free
nce:
nergy
Decrease in Gibbs Free Energy, ĂłG, with particle
coalescence:
bG ybA
y = interfacial energy (J m 2)
bA change in inteJacial area
Coalescence is favorable when G is reduced (ĂłG < 0).
For coalescence of N 10â7 particles with a 200 nm
diameter, with y = 3 x 10-2 J m-2, ĂłG = 390 J.
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49. Concept of EnergyBaiance
J.L. Keddie - Copyright reserved 2005
Energy âgainedâ by the reduction in surface
area with particle deformation is âspentâ on the
deformation of pai1icles:
D
e
f
o
r
m
a
t
i
o
n iseitherelastic. v
i
s
c
o
u
s(i.e. f
l
o
w
)
o
rviscoe
l
as
t
i
c (i.e.bot
h)
Em on Po er at o P ocesse Cou e
16 September 2005, Donostia-San SebastiĂ n
50. TypicaiVal
Emulsion Polymerization Processes Course
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J.L. Keddie - Copyright reserved 2005
i rfaciai nergy
y(10* J m2)
Interface
Water/Air
Polymer/Water
Polymer/Air
1
51. Particle Deformation Mechanisms
Emulsion Polymerization Processes Course
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Water recedes before particles
are deformed. Reduction of
the polymer/air interfacial
energy is the driving force.
Dry Sintering: yha
Particles are deformed before
water has evaporated.
Reduction of the
polymeriwater interfacial
energy is the driving force.
Wet Sintering: ypw
52. Particle Deformation Mechanisms
16 September Euetâș, Donostia-van Sebastian
J.L. Keddie - Copyright reserved 2005
&OLY
gp 12.9yâ
r
For ywa 3 x 10-2 Jm-
2 and r= 150 nm,
ĂłP is MPa!
Capillary Action: Y
w
a
Emulsion Polymerization Processes Course
53. Particle Deformation Mechanisms
16 September Euctâș, Donostia-can Sebastian
J.L. Keddie - Copyright reserved 2005
In those cases in which the water distribution is
non-uniform A ND
in which wet sintering is favoured,
skin formation is predicted to occur.
Skin Formation
Emulsion Polymerization Processes Course
55. Theory: Deformation mechanism is a function of
the dimensionless arameters, ÂŁ and Pe
J.L. Keddie - Copyright reserved 2005
y *
*
^ Low T: Near T
h
, H Dry Sintering: yp
10000
Receding Water Front
100
Capilla Deformation: -
Wet Sintering: ypW
T- Ty > 15 âC
0
pÄ
Partial Skinnin
' Skinning
1 6x: RHE
A.F. Routh & W.B. Russel, Langmuir, 15 (1999) 7762-73.
Emulsion Polymerization Processes Course
16 September Euctâș, Donostia-can Sebastian
kT
57. Water
durin
Emulsion Polymerization Processes Course
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ncentratio
iatex film formation
Acrylic Latex near T :
Uniform water recession
from surface
* fJ.2
Time
0
-TO
Consistent with dry sintering
50 100 150 200 2fi0
Height
(» ) âč
with some particle deformation
59. I I terdi i
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60. Example of Good Coalescence
Hydrated film
Immediate film formation
upon drying!
61. Coaiescence and inte iffusi n
âą Particles can be deformed without being coalesced.
(Coalescencemeans that the boundary between particles
no longer exists!)
âą Molecules must diffuse across the boundary between
particles to achieve coalescence: analogy to crack
healing.
âą If the molecules entangle over a distance on the order of
the radius of gyration of the polymer, then the film is
stronger. Otherwise, the boundaries will be weak.
Emulsion Polymerization Processes Course
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63. Factorsthat infiuence Diffusivit
, D
âą Molecular weight, M:
âąTe^ eâąâątuâąeâąT: = D exp(
-E p T )
âą Particle membranes: e.g. hydrophilic acrylica
c
i
d
c
o
p
o
l
y
m
e
r o
rs
e
r
u
mp
h
a
s
ea
tpapicle b
o
u
n
d
a
r
i
e
s
âą Crosslinking:C
a
nentirely p
r
e
v
e
n
t diflusion!
⹠Molecular branching: Slows downdiñusion
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64. Coalesci Aids Increase Diffusivity
J.L. Keddie - Copyright reserved 2005
âą Volatile solvents can decrease the T
h Âżtnd MFFT of the
polymer, enhance the rate of polymer interdiffusion and
then evaporate to create a hard (high Th) fiImâą
âą A c
o
m
m
o
n e
x
a
m
p
l
e o
f a c
o
a
l
esc
i
ng aid is 2,2,4-
trimethyI-1,3-pentanediolmonoisobutyrate(
T
e
x
a
n
o
l TM).
âą A negative aspect is that the use of coalescing aids
increases the VOC concentration of a waterborne
system!
Emulsion Polymerization Processes Course
16 September Euctâș, Donostia-can Sebastian
65. Factors in Selecting a Coalescing Aid
J.L. Keddie - Copyright reserved 2005
âą Evaporation rate: D
e
t
e
r
m
i
n
e
s h
o
wlongt
h
e
plasticizer r
e
m
a
i
n
si
nt
h
efilm.
âą Solvent Ty: Determines theextent of
plasticization; T
hztpproximately 2T /3.
âą Solubility: Determines the amount of solvent
in thepolymer and aqueous phases and
hencethe extentof plasticization.
âą Ab
a
l
a
n
c
eo
ft
h
Ăš
s
ef
a
c
t
o
r
sisrequired t
o
achieve thebestfilm formation andahard
finalcoating.
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69. Serum hase can revent coalescence
Particles are not
coalesced in this
acrylic Iatex with a
bimodal panicle
size
Goodcoalescence
is achieved when
the sameIatex has
been âcleaned" via
dialysis
73. Measurin
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diffusion and mixin
Phe
Phe
Phe
Phe Phe
Phe
Phe
Phe =
Phenanthrene
r
An â
Anthracene
Phe
r'he
Phe
Phe
Phe
Phe
Phe
For Phe and An, energy transfer is instantaneous when
r is < 12 A and very slow when r > 50 Ăą.
74. nergy Transfer Tech
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Fluorescence
Intensity
Time (ns)
Fraction mixing
1.0
0
.
8
âč
Time
0
.
0
2
O
0 400 600 8
0
O
Tizoe (min.)
Source: M.A. Winnik et a/.,1. Coatings Techn., 64, No. 811, (1992), 51-61.
75. Exam Ie Diffusion Coefficients from NRET
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Pol mer
PBMA
Tern
70
Diff. Coeñ. (10-16 cm2s-1)
-1
PBMA 90 10
PBMA 120 100 â
1000
PMMA 130 6
PMMA 170 800
See J.L. Keddie, Mat. Sci. Eng. Rep. (1997) R23, 101.
76. Effect of Texanol on PBMA Diffusion Coefficients
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Texanol Content wt.% *DiV. Coeff. (cm2s-1)
0 1 x 10 â8
3 2 x 10 '7
6 1 x 10-16
8 8 x 10â16
10 2 x 10-1
12 1 x 10â14
* D measured when fraction of mixing is 0.5
See J.L. Keddie, Mat. Sci. Eng. Rep. (1997) R23, 101.
77. rfacta ist i i
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J.L. Keddie -Copyright âčeseâčved atXt5
78. Surfactant Trans ort Mechanisms
âą During the drying stage, surfactant must be
either:
âą Adsorbed on particle surfaces, where it moves
along with the particles OR....
⹠Diñusing in the latex serum OR....
âą Adsorbing on particles, described by adsorption
isotherm OR...
âą Desorbing from particles, as particles compact
together.
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79. Changi me ncentration
of Adsorbed Surfactant, F
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3âsurfi!*pol
Micelles
po|increases as water
evaporates and particles
pack together
80. Changi me ncentration
of Adsorbed Surfactant, F
Emulsion Polymerization Procassss Course
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âsurf
//surf
6surf iS given by a Langmuir isotherm as a
function of surfactant concentration/sur. which
increases over time.
81. Surfactant desor tion
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Desorption might be caused by the repulsion from
anionic head groups forced into close proximity.
âą It might be opposed by particle rigidity.
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82. Wide variety of surfactant distributions
J.L. Keddie - Copyright reserved 2005
HTAB SDS
sodium dodecyl sulfate
Height
hexadecyl trimethyl
ammonium bromide
Height
sur
HPCI
hexadecyl pyridinium
chloride
Sli1'
NP10
polyethoxylated
nonyl phenol
Height Height
C.L. Zhao, et al., Coll. Polym. Sci., 265 (1987) 823
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83. Further Reading
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âą Books on Latex Film Formation and Wb Coatings:
Film Formation in Waterborne Coatiângs, T. Provder, M.A. Winnik, and M.W.
Urban, ed., ACS Symposium Series, Vol. 648, 1996.
Film Formatlo I in Coatings. Mechanisms, Properties and Morphology, T.
Provder and M.W. Urban, ed., ACS Symposium Series. Vol. 790, Oxford
University Press, 2001.
âą Review Articles on Latex Film Formation:
J.L. Keddie, Mater. Sci. Eng. Reports, 21 (1997) 101.
J. Hearn, P.A. Steward, M.C. Wilkinson, Adv. Co//o/d /n/er/., 86 (2000) 195.
M.A. Winnik, Curr. Opinion Coll. Interf. Sci., 2 (1997) 192.
âą Process model of film formation:
A.F. Routh and W.B. Russel, Langmuir, 15 (1999) 7762.
âą Review of experimental work on film formation:
A.F. Routh and W.B. Russel, Ind. Eng. Chem. Res., 40 (2001) 4302.
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