Andrea Camposeo1, Israel Greenfeld2, Francesco Tantussi3, Maria Moffa1, Francesco Fuso3, Maria Allegrini3, Eyal Zussman2, Dario Pisignano4. 1. National Nanotechnology Laboratory of Istituto Nanoscienze-CNR , via Arnesano, I-73100 Lecce, Italy. 2. Department of Mechanical Engineering, Technion-Israel Institute of Technology , Haifa 32000, Israel. 3. Dipartimento di Fisica "Enrico Fermi" and CNISM, Università di Pisa , Largo Bruno Pontecorvo 3, I-56127 Pisa, Italy ; Istituto Nazionale di Ottica INO-CNR , Sezione di Pisa, I-56127 Pisa ( Italy ). 4. National Nanotechnology Laboratory of Istituto Nanoscienze-CNR , via Arnesano, I-73100 Lecce, Italy ; Dipartimento di Matematica e Fisica "Ennio De Giorgi", Università del Salento , via Arnesano I-73100 Lecce, Italy.
Abstract
Polymer fibers are currently exploited in tremendously important technologies. Their innovative properties are mainly determined by the behavior of the polymer macromolecules under the elongation induced by external mechanical or electrostatic forces, characterizing the fiber drawing process. Although enhanced physical properties were observed in polymer fibers produced under strong stretching conditions, studies of the process-induced nanoscale organization of the polymer molecules are not available, and most of fiber properties are still obtained on an empirical basis. Here we reveal the orientational properties of semiflexible polymers in electrospun nanofibers, which allow the polarization properties of active fibers to be finely controlled. Modeling and simulations of the conformational evolution of the polymer chains during electrostatic elongation of semidilute solutions demonstrate that the molecules stretch almost fully within less than 1 mm from jet start, increasing polymer axial orientation at the jet center. The nanoscale mapping of the local dichroism of individual fibers by polarized near-field optical microscopy unveils for the first time the presence of an internal spatial variation of the molecular order, namely the presence of a core with axially aligned molecules and a sheath with almost radially oriented molecules. These results allow important and specific fiber properties to be manipulated and tailored, as here demonstrated for the polarization of emitted light.
Polymer fibers are currently exploited in tremendously important technologies. Their innovative properties are mainly determined by the behavior of the polymer macromolecules under the elongation induced by external mechanical or electrostatic forces, characterizing the fiber drawing process. Although enhanced physical properties were observed in polymer fibers produced under strong stretching conditions, studies of the process-induced nanoscale organization of the polymer molecules are not available, and most of fiber properties are still obtained on an empirical basis. Here we reveal the orientational properties of semiflexible polymers in electrospun nanofibers, which allow the polarization properties of active fibers to be finely controlled. Modeling and simulations of the conformational evolution of the polymer chains during electrostatic elongation of semidilute solutions demonstrate that the molecules stretch almost fully within less than 1 mm from jet start, increasing polymer axial orientation at the jet center. The nanoscale mapping of the local dichroism of individual fibers by polarized near-field optical microscopy unveils for the first time the presence of an internal spatial variation of the molecular order, namely the presence of a core with axially aligned molecules and a sheath with almost radially oriented molecules. These results allow important and specific fiber properties to be manipulated and tailored, as here demonstrated for the polarization of emitted light.
Fibers[1−4] are typically formed upon the solidification of a tiny filament
drawn from a viscous polymer solution or melt,[5−7] whose thinning
follows a very complex dynamics.[8−10] Understanding how polymer chains
modify their conformation at nanoscale, and to what extent they keep
their configuration in solid nanostructures, is fundamental for many
applications and for controlling the resulting physical properties
of fibers.[11,12] For example, polymers are typically
considered bad thermal conductors, but aligning their chains in 1-dimensional
(1D) nanostructures allows their thermal conductivity to be improved
approaching the single-molecule limit (about 350 W m–1 K–1 for polyethylene).[5] Similarly, charge mobilities (μ) in organic semiconductor
films are typically low (most often <10–1 V cm–2 s–1), although in single π-conjugated
polymer chains μ can be of the order of hundreds of V cm–2 s–1.[13] In the bulk, the disordered supramolecular assembly limits the charge
mobility, whereas 1D nanostructures show an increase of 1–3
orders of magnitude of μ.[14,15] The alignment of π-conjugated
molecules is also effective to improve the amplification of light
by stimulated emission,[16] the macroscopic
quantum spatial coherence of the exciton state,[17] and the polarization of emitted light. In general, stretching
a semidilute polymer solution by an electrostatic field is very effective
to prime the formation of fibers, potentially resulting in a structure
mostly composed of ordered and aligned chains.[18−20] Little is known
however about the nanoscale features induced by elongational dynamics
and about how these features can be exploited to tailor and control
macroscale properties of solid nanostructures.In this paper,
we employ the unique features of scanning near-field
optical microscopy (SNOM)[21−23] to investigate at nanoscale polymer
fibers produced by electrospinning. Absorption measurements with nm-spatial
resolution and polarization modulation provide insight into the nanoscale
variation of molecular alignment, evidencing an unexpected change
from axial to radial molecular orientation upon moving from the fiber
axis to its surface. The formation of such complex structures occurs
close to the polymer jet start, as demonstrated by modeling the evolution
of the conformation of the polymer chains network.
Experimental Section
Conjugated Polymer Nanofibers
Fibers
are produced by
electrospinning a solution (70–200 μM polymer) of poly[2-methoxy-5-(2-ethylhexyloxy)-1,4-phenylenevinylene]
(MEH-PPV) (molecular weight 380 000 g/mol, American Dye Source
Inc.). Sprayed films of microbeads and microfibers are obtained at
concentrations >200 μM. The polymer is dissolved in a 1:4
(weight:weight)
mixture of dimethyl sulfoxide (DMSO) and tetrahydrofuran (THF). The
electrospinning system consists of a microprocessor dual drive syringe
pump (33 Dual Syringe Pump, Harvard Apparatus Inc.), feeding the polymer
solution through the metallic needle at constant rate (10 μL/min).
A 11 kV bias is applied between the needle and a metallic collector
(needle-collector distance 6 cm), made of two Al stripes positioned
at a mutual distance of 2 cm. The MEH-PPV nanofibers are collected
on a 1 × 1 cm2 quartz substrate for optical investigation.
Arrays of uniaxially aligned nanofibers are also produced by using
a rotating collector (4000 rpm, corresponding to a linear velocity
of 30 m/s at the disk edge) for emission polarization measurements,
featuring similar morphology and optical properties as samples deposited
on the Al stripes. The fiber morphology is investigated by scanning
electron microscopy (SEM) using a Nova NanoSEM 450 system (FEI), with
an acceleration voltage of 5–10 kV.
Polarized Emission
Optical images of the fibers are
obtained by confocal microscopy, using an inverted microscope (Eclipse
Ti, Nikon) equipped with a confocal laser scanning head (A1R MP, Nikon).
An Ar+ ion laser (λ = 488 nm) excites the fibers through an oil immersion objective
with numerical aperture, N.A. = 1.4. The intensity of the light transmitted
through the sample, measured by a photomultiplier, is recorded synchronously
to the confocal acquisition of the laser-excited fluorescence. The
polarization of the emission of individual nanofibers at different
polymer concentrations is characterized by a microphotoluminescence
system, composed by a diode laser excitation source (λ = 405
nm) coupled to an inverted microscope (IX71, Olympus). The laser beam
propagates perpendicular to the substrate on which the fiber is deposited,
and it is focused on the sample through a 20× objective (N.A.
= 0.5, spot size 30 μm). Furthermore, the fiber is positioned
with its longitudinal axis almost parallel to the incident laser polarization.
The PL emitted by individual nanofibers is collected along the direction
perpendicular to the substrate, by means of an optical fiber, and
dispersed in a monochromator (USB 4000, Ocean Optics). The polarization
of the emission is analyzed by a polarization filter mounted on a
rotating stage and positioned between the emitting MEH-PPV nanofiber
and the collecting optics. The system response is precisely analyzed
in order to avoid artifacts due to the collection and measurement
apparatus.
SNOM
A polarization-modulation near
field microscopy
system is used to analyze the linear dichroism of tens of individual
MEH-PPV fibers. The SNOM system, operating in emission mode, excites
samples in the optical near-field of a tapered optical fiber probe
(Nanonics), with a nominal aperture of 50 nm, delivering a near-field
power up to the tens of nW range (λ = 473 nm). The signal transmitted
by the samples is collected by an aspherical lens (N.A. = 0.55, diameter
of 13 mm) and sent onto a photomultiplier. The polarization modulation
relies on a photoelastic modulator (PEM-100, Hinds Instruments), behaving
as a waveplate with periodically modulated retardation. The modulator
is followed by a λ/4 waveplate and the whole system is conceived
in order to send into the optical fiber probe radiation linearly polarized
along a direction periodically oscillating in the transverse plane.
The photomultiplier signal is split and sent into two different digital
dual lock-in amplifiers (Stanford Research SR830DSP). The first one,
referenced to the polarization modulator frequency, f, provides with an output (hereafter called AC) representative of
the sample response to polarized radiation, whereas the second lock-in,
referenced to a slow modulation frequency f′
(f/f′ >10) of the laser
amplitude,
is used to determine the optical transmission averaged over all polarization
states (DC output).The dichroic ratio of sample, γ =
((I∥ – I⊥)/(I∥ + I⊥)), where I∥ and I⊥ are the transmitted intensity
for polarization aligned along two mutually orthogonal directions,
respectively, is quantitatively evaluated from the ratio AC/DC. This
requires to model the behavior of the whole optical chain and to account
for the residual optical activity of its components, including the
optical fiber probe (see Supporting Information). Indeed, reference measurements performed on bare substrates provide
a dichroic ratio around zero as expected (see also Supporting Information). Moreover, the polarization state
of the light incident on the sample is also characterized, by rotating
the linear polarization of the light coupled into the SNOM fiber using
a λ/2 waveplate, and measuring the intensity transmitted by
a linear polarizer used as sample for each position of the λ/2
waveplate (see also Supporting Information). We have measured a ratio between the maximum and the minimum intensity
transmitted by the polarizer in the range 101–102. Overall, calibration experiments allow any contribution
of the measurement setup to the obtained results to be ruled out.
Results and Discussion
Figure 1 shows
SEM pictures of MEH-PPV fibers
produced by electrospinning solutions with different polymer concentrations.
The fibers generally feature a ribbon shape, with average width in
the range 500–600 nm and width:height ratio of about 10:1.
The average fiber width increases by roughly 30% upon increasing the
polymer concentration in the 70–200 μM range. In addition,
fibers emit bright light, allowing the chain order to be investigated
by optical methods (Figure 2a). Figure 2b shows the confocal transmission micrograph of
excitation laser light, collected by crossed polarizers (analyzer
axis perpendicular to the incident laser polarization), for nanofibers
positioned at 0°, 65°, and 90° with respect to the
incident laser polarization. A significant transmitted signal can
be measured only for fibers positioned at 65°, indicating optical
anisotropy which is expectedly the result of a preferential molecular
alignment along the fiber length.
Figure 1
SEM images of electrospun MEH-PPV fibers
realized by varying the
solution polymer concentration in the range 70–200 μM.
The corresponding polymer volume fraction, ϕ, is 0.025 (a),
0.036 (b), 0.054 (c), and 0.064 (d), respectively. Scale bar: 20 μm.
Inset in part c: Zoomed micrograph of an individual fiber highlighting
its ribbon shape. Scale bar: 2 μm.
Figure 2
(a) Fluorescence confocal micrograph of conjugated polymer fibers.
Scale bar: 10 μm. (b) Confocal map of the exciting laser intensity
transmitted by the fibers, collected simultaneously to the emission
map in part (a). The polarization of the excitation laser (highlighted
by the horizontal arrow) is aligned parallel to the longitudinal axis
of the horizontal fiber, whereas the axis of the analyzer (highlighted
by the vertical arrow) is positioned perpendicularly to the incident
laser polarization.
SEM images of electrospun MEH-PPV fibers
realized by varying the
solution polymer concentration in the range 70–200 μM.
The corresponding polymer volume fraction, ϕ, is 0.025 (a),
0.036 (b), 0.054 (c), and 0.064 (d), respectively. Scale bar: 20 μm.
Inset in part c: Zoomed micrograph of an individual fiber highlighting
its ribbon shape. Scale bar: 2 μm.(a) Fluorescence confocal micrograph of conjugated polymer fibers.
Scale bar: 10 μm. (b) Confocal map of the exciting laser intensity
transmitted by the fibers, collected simultaneously to the emission
map in part (a). The polarization of the excitation laser (highlighted
by the horizontal arrow) is aligned parallel to the longitudinal axis
of the horizontal fiber, whereas the axis of the analyzer (highlighted
by the vertical arrow) is positioned perpendicularly to the incident
laser polarization.Polarized near-field
absorption microscopy (Figure 3a) provides
a direct measurement of the spatial variation
of polymer alignment, through the map of the local dichroism, γ,
i.e. the normalized difference between the transmission of radiation
polarized along two mutually orthogonal directions. The map (Figure 3b) is determined by the distribution and anisotropy
of absorbing chromophores (see Supporting Information). Here, the most important finding is the spatial variation of dichroism
and, consequently, of molecular alignment (Figure 3c). Unexpectedly, the sign of the dichroic ratio, γ,
is not constant throughout the fiber, because of regions showing preferential
absorption of light polarized along or across the fiber axis (for
the scan shown, they correspond to negative or positive γ, respectively).
Figure 3
(a) Schematics
of the polarization-modulation SNOM measurement.
PEM: photoelastic modulator, PMT: photomultiplier. (b) Map of the
dichroic ratio of a single MEH-PPV fiber. The dichroic ratio is zero
for nonoptically active regions (background contribution subtracted,
see Supporting Information). (c) Line profile
analysis displaying the cross sections, along the dashed segment in
part b, of γ (continuous line) and of topography got simultaneously
with the optical data (dotted line). The change in sign of γ
when crossing the fiber (dashed horizontal line corresponding to γ
= 0) indicates different alignments of the polymer with respect to
the fiber axis.
(a) Schematics
of the polarization-modulation SNOM measurement.
PEM: photoelastic modulator, PMT: photomultiplier. (b) Map of the
dichroic ratio of a single MEH-PPV fiber. The dichroic ratio is zero
for nonoptically active regions (background contribution subtracted,
see Supporting Information). (c) Line profile
analysis displaying the cross sections, along the dashed segment in
part b, of γ (continuous line) and of topography got simultaneously
with the optical data (dotted line). The change in sign of γ
when crossing the fiber (dashed horizontal line corresponding to γ
= 0) indicates different alignments of the polymer with respect to
the fiber axis.These results suggest
the presence of a core, with width ∼40%
of fiber diameter, where chromophore dipoles preferentially align
along the fiber length, whereas molecules closer to the fiber border
show a preferential radial orientation. The decrease of the dichroic
ratio from positive to null values nearby the fiber edges (i.e., for
positions roughly ≤0.5 μm and ≥1.5 μm according
to the horizontal axis of Figure 3c) may be,
instead, affected by the local curvature of the ribbon-shaped fibers
and will not be considered in the following analysis. To learn more
about the origin of the found spatial variation of the molecular alignment,
we use a model of the polymer network and perform simulations of its
dynamics, as previously developed for fully flexible and semiflexible
polymer chains.[24−26] Simulations are here aimed at better rationalizing
the observed chain orientation in the core, and at assessing the relevant
process variables determining such orientation, thus ultimately allowing
the macroscopic physical properties of the electrospun fibers to be
tailored and controlled. In this approach, a semiflexible conjugated
polymer chain is modeled as a series of N rigid segments,
each of length b = nd (n spherical beads of diameter d ≅ 1.2 nm,
each bead consisting of two chemical monomers). The segment length b represents the average distance between two neighboring
bonding defects along the chain backbone, where a bonding defect introduces
local flexibility in the chain.[27] The corresponding
defects concentration, using two chemical monomers per bead, is (2n)−1 of monomers. The chain conformational
correlation is lost above the scale of a segment due to the bonding
defects, and therefore the rigid segment b is regarded
as a Kuhn segment, and a freely jointed chain model is assumed. Fully
flexible polymers are a particular case of the model (n = 1),[24] and generality is retained by
using the segmental aspect ratio parameter, n, to
specify the degree of chain flexibility.In general, the high
entanglement of chains creating a connective
network determines the viscoelastic property of semidilute solutions.
An entanglement can be simply defined as a topological constraint
that inhibits intercrossing of two chains. The conformation of the
entangled polymer network in the semidilute solution and the interactions
relevant to the solvent type are described by scaling laws. When the
segmental aspect ratio is high, an entanglement strand (i.e., a chain
section between two adjacent entanglements) has the same length scale
as the network correlation length (mesh size), ξ, the end-to-end
distance of an unperturbed subchain containing N rigid segments. Given the aspect ratio n, polymer volume fraction ϕ, and solution properties
expressed by Flory’s exponent,[28] ν and Flory’s interaction parameter, χ, the number
of rigid segments in a subchain for good solvents is (Supporting Information):and the corresponding correlation length is
ξ ≈ b[(1–2χ)/n]2N.[29] The exponent v is 0.5 for ideal chains, corresponding to θ-solvents,
and ∼0.6 for real chains, corresponding to good and athermal
solvents.The mapping of N as
a function of n2ϕ, for different
solvent qualities, is depicted in Figure 4a.
The effect of various solvents is discussed in detail in the Supporting Information. When the calculated N is above the N limit (upper dotted line, designating the overlap concentration
ϕ*), the polymer network is not sufficiently entangled for elastic
stretching. The limit n = 1 (lower dotted line) designates
the minimal selectable n value. For our solvent mixture
(THF:DMSO 4:1 weight:weight), the interaction parameter can be estimated
as χ ≅ 0.38,[30] and for our
polymer volume fraction, ϕ = 0.025, the transition from ideal
to real chain conformation occurs at n ≅ 2.7
beads (point B′ in Figure 4a). The corresponding
defects concentration (19% of monomers) is much higher than typical
values (<10%, equivalent to n > 5),[27] and therefore the conformation of subchains
is close to ideal (θ-solvent line in Figure 4a, right to point B′). At the high temperature limit
(athermal solvent), the transition from ideal to real conformation
occurs at n ≅ ϕ–1/3 ≅ 3.4 beads (point B in Figure 4a),
equivalent to 15% defects. Thus, as a chain is stiffer (higher n) it is more likely to be practically ideal, regardless
of the solvent quality, provided that sufficient entanglement exists.
At low concentration, when n < ϕ–1/2 (left to point A in Figure 4a), the subchain
consists of many segments and does not interact with other chains
[Figure 4b(i)]. When n ≈
ϕ–1/2 (point A in Figure 4a), the correlation length ξ is of the same scale as
the segment length b [Figure 4b(ii)].
Figure 4
(a) Plot of N vs n2ϕ and solvent quality. The θ-solvent
curve marks the crossover between good and poor solvents. The dotted
lines constitute the upper and lower limits for ϕ = 0.025. Polymer
molecular weight = 380,000 g/mol, equivalent to N = 730. Points B and B′,
plotted for ϕ = 0.025 for Flory’s interaction parameter
χ ≅ 0 and χ ≅ 0.38, respectively, mark the
transition from ideal subchains (right) to real subchains (left).
Prefactors are omitted for sake of simplicity. (b) Crossover (point
A in part a) of the polymer network conformation with respect to the
scale of the correlation length, ξ (circles) and the segment
length, b: (i) regular semidilute, ξ > b, (ii) crossover, ξ ≈ b,
and (iii) different chains intermix within a single correlation volume,
ξ ≈ b. (c) Simulation of subchains during
electrospinning. The axial mesh size ξ∥, radial
mesh size ξ⊥, and orientation parameter O are plotted vs the axial position, z,
along the jet. ξ∥ is compared to the theoretical
model (dotted line). The position close to full subchain extension
is designated by z.
Parameters used: ideal chain, ϕ = 0.025, n =
5 beads, d = 1.2 nm, ξ0 ≅
20 nm, N = 14 segments.
Jet dynamics is from Figure S4 (see Supporting
Information).
(a) Plot of N vs n2ϕ and solvent quality. The θ-solvent
curve marks the crossover between good and poor solvents. The dotted
lines constitute the upper and lower limits for ϕ = 0.025. Polymer
molecular weight = 380,000 g/mol, equivalent to N = 730. Points B and B′,
plotted for ϕ = 0.025 for Flory’s interaction parameter
χ ≅ 0 and χ ≅ 0.38, respectively, mark the
transition from ideal subchains (right) to real subchains (left).
Prefactors are omitted for sake of simplicity. (b) Crossover (point
A in part a) of the polymer network conformation with respect to the
scale of the correlation length, ξ (circles) and the segment
length, b: (i) regular semidilute, ξ > b, (ii) crossover, ξ ≈ b,
and (iii) different chains intermix within a single correlation volume,
ξ ≈ b. (c) Simulation of subchains during
electrospinning. The axial mesh size ξ∥, radial
mesh size ξ⊥, and orientation parameter O are plotted vs the axial position, z,
along the jet. ξ∥ is compared to the theoretical
model (dotted line). The position close to full subchain extension
is designated by z.
Parameters used: ideal chain, ϕ = 0.025, n =
5 beads, d = 1.2 nm, ξ0 ≅
20 nm, N = 14 segments.
Jet dynamics is from Figure S4 (see Supporting
Information).However, when chains are not fully flexible, the correlation
volume
is not completely occupied by a single segment, and further increase
of n and/or ϕ is possible. The network then
crosses over to a state where different chains intermix within a single
correlation volume [Figure 4b(iii)], increasing
the probability of interchain overlap. The increased interaction between
neighboring rigid segments may lead to nematic ordering and enhanced
orientation, according to Onsager theory. For the volume fraction
used in the experiment, ϕ = 0.025, this crossover occurs at n ≅ 8.6 beads, corresponding to defects concentration
of ∼6% of monomers.On these bases, the evolution of
the polymer conformation under
dynamic tension can be described by a beads-and-spring lattice model
and a 3D random walk simulation.[24] To this
aim, the calculated number of segments per subchain, N, the initial correlation length, ξ0, and the pertaining experimental conditions are used as input
to the simulations. The jet velocity is derived from the measured
jet radius a, subjecting each subchain to a hydrodynamic
force induced by the solvent, as well as to entropic elastic forces
applied by its neighboring subchains.The simulation results
are presented in Figure 4c. It is seen that
subchains fully extend within less than
1 mm from the jet start (position z), while contracting laterally, and their segments become fully
oriented along the jet axis. The theoretical expression for the axial
stretching (dotted line in Figure 4c), derived
for linear elasticity, is given by[24] ξII ≈ (v/v0)ξ0 = (a0/a)2ξ0, (a0 and v0 are the jet initial radius and
velocity, respectively), whereas the orientational parameter (dashed
line in Figure 4c) is defined as O = (3/2)⟨cos2δ⟩ – (1/2), δ
being the angle between a rigid segment of the polymer molecule and
the longitudinal axis. An example of the conformational evolution
of a single subchain under the same conditions is shown in Figure 5.
Figure 5
(a) Polymer network at rest. (b) Single chain
with N = 146. (c) Examples of single subchains, left N = 14 (n =
5, 10% defects),
right N = 67 (n = 3.4, 15% defects). (d) Stretched subchains, N = 14, z =
0.08 mm (top) and z = z = 0.16 mm (bottom).
The polymer chain is entangled with other
chains in the solution
(Figure 5a,b). Each subchain (an entanglement
strand) starts from an equilibrium conformation at the jet start (Figure 5c), proceeds through intermediate stretching, and
approaches full extension and lateral contraction (Figure 5d). The subchain conformation is sensitive to the
average concentration of defects. A change in the defects concentration
from 10% of monomers to 15% raises the subchain size from 14 to 67
segments and increases the correlation length. The lateral contraction
of individual subchains affects the conformation of the whole polymer
network, narrowing its radius a faster than the narrowing of the jet radius a. The dominant effect is of axial stretching and lateral contraction,
resulting in compacting of the network toward the jet core. Thus,
the model and simulation predict axial alignment at the jet center,
while closer to the jet boundary the stretching effect is not dominant
and other mechanisms prevail. These may include the influence of surface
charges as recently investigated in polyamide 6 nanofibers.[31] These charges can be tailored by changing the
polarity of the applied voltage,[32] and
can lead to distinct properties such as enhanced surface energy compared
to solution-processed films.(a) Polymer network at rest. (b) Single chain
with N = 146. (c) Examples of single subchains, left N = 14 (n =
5, 10% defects),
right N = 67 (n = 3.4, 15% defects). (d) Stretched subchains, N = 14, z =
0.08 mm (top) and z = z = 0.16 mm (bottom).In our model, full extension is approached when ξII ≈ bN, i.e.
at the axial position z and a corresponding jet radius a. The axial position of full stretching, omitting the effect
of n, scales as (Supporting Information):The estimated z for
various solvent qualities, allowing the axial position of full stretching
and consequently the resulting fiber properties for each particular
nanofabrication experiment to be predicted, is shown in Figure 6a. Typically z < 1 mm and a0/a = 2–10, close to the jet start.
Considering that the final radius reduction ratios in electrospinning
are typically 102–104, substantial stretching
occurs quite early in the process. For given polymer concentration
and molecular weight, when n is larger (i.e., longer
segments, equivalent to lower defects concentration), full stretching
is approached at a higher jet radius and lower z; however, at the same time, the number of
entanglements per chain N/Ns is higher and therefore the solution viscosity will be larger,
increasing z. In contrast
to the radius reduction ratio a0/a, the axial position z is strongly affected by the
jet rheology, resulting in a concentration dependence with a large
positive exponent, as well as added dependence on the molecular weight
(Figure 6a). In addition to its dependence
on the molecular weight and concentration as expressed in eq 2, z strongly depends on the intensity of the electrostatic field E and the jet initial velocity v0. It can be shown that this dependence may be approximated by z ∼ v01/2E-1,
meaning that a high strain rate, caused by high E and low v0, should result in earlier
stretching.
Figure 6
(a) Plot showing the axial position where subchains approach full
extension, z/a0, normalized by N3/2, vs the polymer volume fraction ϕ and solvent quality, for n = 1. The dotted line constitutes the lower limit imposed
by N < N. Prefactors are omitted for sake of simplicity. Points B and B′
are explained in Figure 4a. Insets: Plot of
the normalized nanofiber emission intensity vs the angle between the
fiber and the analyzer axis, measured on fibers electrospun from a
solution with ϕ = 0.03 (left inset) and on a sprayed film for
comparison (right inset). (b) Polarization ratio, r, vs solution volume fraction, ϕ.
The dashed line is a guide for the eyes. An unpolarized sample (sprayed
film) has r = 1. (c,
d) Confocal images of nanofiber polarized emission. The laser-excited
emission is filtered through an analyzer with axis (highlighted by
arrows) parallel and perpendicular to the fiber axis, respectively.
(e) Experimental distributions of the nanofiber polarization ratio, r, at different polymer concentrations.
(a) Plot showing the axial position where subchains approach full
extension, z/a0, normalized by N3/2, vs the polymer volume fraction ϕ and solvent quality, for n = 1. The dotted line constitutes the lower limit imposed
by N < N. Prefactors are omitted for sake of simplicity. Points B and B′
are explained in Figure 4a. Insets: Plot of
the normalized nanofiber emission intensity vs the angle between the
fiber and the analyzer axis, measured on fibers electrospun from a
solution with ϕ = 0.03 (left inset) and on a sprayed film for
comparison (right inset). (b) Polarization ratio, r, vs solution volume fraction, ϕ.
The dashed line is a guide for the eyes. An unpolarized sample (sprayed
film) has r = 1. (c,
d) Confocal images of nanofiber polarized emission. The laser-excited
emission is filtered through an analyzer with axis (highlighted by
arrows) parallel and perpendicular to the fiber axis, respectively.
(e) Experimental distributions of the nanofiber polarization ratio, r, at different polymer concentrations.A substantial axial stretching
of chains is therefore predicted
during the initial stage of the elongational flow, causing lateral
contraction of the polymer network toward the center of the jet, as
well as orientation of chain segments along the jet axis. Similar
results obtained for fully flexible chains (particular case with n = 1) have been confirmed by X-ray imaging of high strain
rate electrified jets.[24,25] In electrospinning, the electric
field provides the flow of the semidilute solution with a characteristic
increasing velocity along the jet axis, with a strain rate that continuously
increases the elastic stretching of the polymer network and reduces
network relaxation. Our model shows that full chain stretching is
approached at a higher jet radius as the chain is stiffer, at a region
where the mass loss rate due to evaporation is still low.When
stretching is less dominant (e.g., at low electric field and
high flow rate), the rapid solvent evaporation can adversely affect
the polymer matrix, creating a porous nanofiber structure. Dominant
evaporation can also lead to a rapid solidification of the jet surface,
limiting further solvent loss from the core.[33−35] The presence
of residual solvent content in the jet core would allow for chain
relaxation, thus disfavoring the retention of alignment in the core
as recently reported for electrospun polyvinyl-alcohol fibers.[36] Instead, when stretching is dominant as in the
present case, the polymer network compacts toward the center, producing
an increase of the density close to the jet axis.[26] The here observed ribbons (Figure 1) are hence likely affected by concurring effects rather than jet
skin collapse, such as flattening and relaxation processes occurring
at the impact onto the substrate. This would be consistent with the
presence of a slowly evaporating solvent component, i.e. with a jet
time-of-flight which is comparable with the drying time scale,[35,37] and supported by the joints observed in SEM micrographs of intersecting
deposited fibers (e.g., Figure 1b,c).This description is in agreement with polarization modulation measurements
(Figure 3), showing a change in the sign of
the dichroic ratio along the fiber radius, and indicating a preferred
axial alignment of molecules at the fiber core, whereas molecules
closer to the fiber boundary possess a preferred radial alignment.
Thus, at the jet center axial stretching is dominant, and one can
anticipate a propensity for interchain interaction and π–π
stacking and consequently high extent of local crystallinity.[38] At the boundary region of the jet, where the
polymer concentration is reduced,[25,26] entanglement
may be low or nonexistent, allowing partial or full relaxation of
chains back to their coil-shaped equilibrium state. This mechanism
is also supported by a recent study on entanglement loss in extensional
flow,[39] showing that the electrospinning
process causes partial untangling of the polymer network when stretching
is faster than the chains relaxation time.Overall, full extension
of the network occurs at an earlier stage
of the jet (lower z)
if the solution initial concentration, the polymer molecular weight,
and the solvent quality are lower, accounting for lower network entanglement.
Under such conditions, the likelihood that the extended conformation,
and the associated axial molecular alignment, will partially remain
in the polymer structure after solidification is higher. This enables
tailoring the physical properties of fibers, such as the far-field,
macroscale emission from fibers. The z(ϕ) diagram of Figure 6a clearly relates the chain alignment, and hence the resulting polarization,
to the polymer volume fraction (i.e., solution concentration). Indeed,
by our approach we obtain a fine-tuning of the polarization ratio
of the fiber emission (r = I∥/I⊥, given by the ratio between the photoluminescence
intensity parallel, I∥, and perpendicular, I⊥, to the fiber axis, respectively),
increasing up to about 5 by gradually decreasing the solution concentration
down to a volume fraction ϕ = 0.025, as shown in Figure 6b–e. This demonstrates the possibility of
tailoring specific fiber properties by the relevant process parameters.
The ultimate r values
may also benefit from the higher density in the core,[26] as well as from electronic energy-transfer mechanisms,
which strongly affect the emission properties of conjugated polymers.[40,41] Conjugated polymer fibers frequently show red-shifted absorption
compared to spincast films (Figure S1a and
ref (42)), a property
consistent with a longer effective conjugation length consequence
of the stretched conformation. In fact, the elongational dynamics
of solutions leads to extended structures having interchain alignment.
The bonding defects concentration, (2n)−1 of monomers, determines chain flexibility, and appears as a possible
key factor in controlling the desired morphology.
Conclusions
In summary, anisotropy at nanoscale is investigated in polymer
fibers by polarization modulation SNOM absorption measurements, evidencing
a variation of molecular orientation from axial to radial upon moving
from the fiber axis to its surface. Modeling the evolution of the
conformation of the chains network allows us to identify key parameters
for controlling molecular alignment, as demonstrated by the fine control
of the emission polarization. The found complex internal structure
and assessment of the key influencing process variables open new perspectives
for tailoring the molecular morphology and resulting fiber properties.
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