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Exam
infoDate
&
time:Form:Allowed
material:21/10
8.30-12.30
M-housequestions
-
what,
how,
why,easy
calculationsorder
of
magnitude
estimationknow
central
equations
&
discussdiscuss
&
explain
phenomenaPhysics
Handbook
(or
equivalent)Pocket
calculatorDictionaryDon’t
forget
to
register!ProjectinfoHand
in:Form:Grading:14/10
at
the
lecture3-5
pages
(longer
is
ok)references
(especially
figures)passed/not
passed(not
passed=correct
&
hand
in
again)good
report
can
help
total
course
gradeno
separate
credits
for
projectPresentation:14/10
at
the
lecturemax
2
minmax
1
slide
-
plastic“elevator
pitch”Self-assemblySelf-assemblyCharacteristics
of
self-assemblywhat,
how,
whySelf
assembly
with
surfactants
&
amphiphileswhat/typesenergiesaggregation
geometries
&
phase
behaviourSelf
assembly
with
polymersphase
separationstructures4
Characteristics
of
Soft
Matteri) Length
scales:-
Structures
of
≈10-1000
nm
determine
the
propertiesTime
scales:
processes
from
10-12
-
103
sDynamics
processes
over
a
wide
time
scales
10-12
-
103
sVery
slow
processes
in
non-equilibrium
configurationsiii)
Weak
interactions-
Interactions
between
molecules
and
molecular
structures
≈
kTSelf
assemblyHierarchical
arrangement
of
structuresCompetition
between
interaction
energy
and
entropySelf-assemblyHierarchical
arrangement
of
structuresCompetition
between
interaction
energy
and
entropyStructures
of
≈10
to
>1000
nm
formed
and
determinethe
properties
of
the
materialSurfactants
and
amphiphilesAmphiphilic
molecule:two
parts
with
very
different
affinitiesSurfactant:an
amphiphilic
molecule
with
a
tendency
to
adsorbonto
free
surfaces
and
interfacesSmall
molecules
Mw≈100-1000Surfactants
and
amphiphilesAmphiphilic
molecule:two
parts
with
very
different
affinitiesEx.
hydrophilic
head
and
hydrophobic
taila
single
molecule
is
never
really
comfortable
in
a
solvent-> aggregation
to
minimize
the
interfacial
energy->
micro-phase
separation,
thermodynamically
stableaggregates
-
micellesSurfactants
and
amphiphilesAmphiphilic
molecule:two
parts
with
very
different
affinitiesEx.
hydrophilic
head
and
hydrophobic
tailHydrophobic
tail:
CH3(CH2)n-Hydrophilic
head:
anioniccationicnon-ionicblock-copolymersSurfactants
and
amphiphilesAmphiphilic
molecule:two
parts
with
very
different
affinitiesEx.
hydrophilic
head
and
hydrophobic
tailSurfactants
and
amphiphilesEx.
hydrophilic
head
and
hydrophobic
tailSelf-assembly
of
molecules
in
order
to
minimise
free
energy-> minimising
the
contact
between
water
(solvent)
andhydrophobic
tail
while
keeping
the
hydrophilic
head
incontact
with
waterMacro
vs.
micro
phaseseparationSimple
liquids
(water
&
oil):free
energy
when
a
molecule
joins
anaggregateN
-
number
of
molecules
in
the
aggregateg-
interfacial
energy,
v
-
molecularvolumeeN
-
monotonic
decreasing
function
of
N->
infinite
aggregates
-
macroscopic
phaseseparationAmphiphiles:->
finite
size
of
aggregates
-
microscopic
phase
separationWhy?无法显示该图片。Macro
vs.
micro
phaseseparationAmphiphiles:->
micro-phase
separation->
finite
size
of
aggregates->
entropic
considerations
more
importantWhy?
Balance
between
protecting
the
hydrophobictailand
keeping
the
head
in
contact
with
the
waterassociating
tails
vs.
repulsion
of
head
groupsShape
of
aggregatesBasic
shapes:spherescylindersbilayersvesiclesSuperstructures:micellar
crystalslamellar
phasesbicontinuous
networks-
…micellesShape
of
aggregatesFactors
determining
the
shapeOptimum
head
group
are,
a0Critical
chain
length,
lcHydrocarbon
volume,
vlc
- length
of
fully
extended
tailv
- volume
of
the
tail#
of
tails,
side
groups,
…vlcOptimum
head
group
area,
a0a0
controlled
byrepulsive
forces:electrostatic
or
steric
repulsion(can
be
altered
by
e.gsalt
concentration)attractive
forces:protecting
the
tailShape
of
aggregatesSpheres
-
smallest
area/volumeVolume:4pr3/3=Nv(N
-
#
of
molecules
in
aggregate)Surface
area:4pr2=Na0->
r=3v/a0but
rmax≤lcv/lca0
≤
1/3
for
spherical
micellsShape
of
aggregatesSpheres:v/lca0
≤
1/3Cylinders:1/3≤
v/lca0
≤
1/2Bilayer:v/lca0
>
1/2Spherical
micellesSpheres
formed
when:v/lca0
≤
1/3Size
of
micelles
finite
->eN
has
a
minimum
value
at
anoptimum
number
MXN
-
volume
fraction
of
micelleswithNmolecules无法显示该图片。size
distributionCritical
Micelle
Concentrationf
-
volume
fraction
of
amphiphilef
<
fc
-
monomersf
>
fc
-
micelles
of
average
size
Mfc
=
exp(-∆e/kBT)-
CMC无法显示该图片。Cylindrical
micellesSpheres
formed
when:1/3<v/lca0
≤
1/2Size
of
micelles
finite
but
eN
has
a
no
minimum
-energy
of
a
molecule
in
thecylinder
is
independent
ofthe
size
->
only
2∆Eend->
forming
larger
micelles
leads
toenergy
gain,
but
a
loss
in
entropy无法显示该图片。Cylindrical
micellesIf
∆Eend
is
large
->
very
longcylinder >µmPolymer-like
system
but:Polymer
length
fixedMicelles
form
and
breakMicellar
size
varies
withexternal
conditionsChange
in
dynamicpropertiesBilayersBilayers
formed
when:v/lca0
>
1/2A1/2∆Eedge(A) (A
-
area
of
a
layer)dependent
on
the
size
of
the
bilayer->
formation
of
infinite
layersVesicles
-
closed
surface
by
a
bilayer->
model
for
cell
membranes->
drug
delivery
systems->
colloidal
behaviourBilayersCell
membranes
-
phospholipid
bilayersTwo
tails
give
a
largevolume,
vv/lca0
>
1/2BilayersBilayers
are
not
flat
-
highly
crumpledPersistence
length:k
-
bending
modulus
of
membraneFor
r
>
x
direction
in
membrane
is
lostLamellar
phases
can
anyway
be
obtainedwith
very
large
d
->
confinement
betweentwo
adjacent
planes
leads
to
loss
in
entropy无法显示该图片。BilayersLamellar
phase
can
be
distorted
by
fluctuationsforming
complex
geometriesPhase
behaviourSelf
assembled
structuresare
rich
in
phases->
response
by
changingsize
and
shape
andarrangement
of
micelles->
dramatic
change
inpropertiesSelf-assemblyMore
complexity
from:several
types
of
amphiphilesmixed
solventschanging
pH,
temperature,
…Self
assembly
inpolymersMixingpolymersGenerally
polymers
don’t
mix
-
why?Free
energy
of
mixing:(two
molecular
liquids)无法显示该图片。entropicinteraction
energyInteraction
parameter
c:
c
<
2
always
single
phasec
>
2
phase
separationregular
solution
modelMixingpolymers(Flory-Huggi
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