Steffen Kurzhals1, Ronald Zirbs1, Erik Reimhult1. 1. Institute for Biologically Inspired Materials, Department of Nanobiotechnology, University of Natural Resources and Life Sciences, Vienna , Muthgasse 11, A-1190 Vienna, Austria.
Abstract
Superparamagnetic nanoparticles have been proposed for many applications in biotechnology and medicine. In this paper, it is demonstrated how the excellent colloidal stability and magnetic properties of monodisperse and individually densely grafted iron oxide nanoparticles can be used to manipulate reversibly the solubility of nanoparticles with a poly(N-isopropylacrylamide)nitrodopamine shell. "Grafting-to" and "grafting-from" methods for synthesis of an irreversibly anchored brush shell to monodisperse, oleic acid coated iron oxide cores are compared. Thereafter, it is shown that local heating by magnetic fields as well as global thermal heating can be used to efficiently and reversibly aggregate, magnetically extract nanoparticles from solution and spontaneously redisperse them. The coupling of magnetic and thermally responsive properties points to novel uses as smart materials, for example, in integrated devices for molecular separation and extraction.
Superparamagnetic nanoparticles have been proposed for many applications in biotechnology and medicine. In this paper, it is demonstrated how the excellent colloidal stability and magnetic properties of monodisperse and individually densely grafted iron oxide nanoparticles can be used to manipulate reversibly the solubility of nanoparticles with a poly(N-isopropylacrylamide)nitrodopamine shell. "Grafting-to" and "grafting-from" methods for synthesis of an irreversibly anchored brush shell to monodisperse, oleic acid coated iron oxide cores are compared. Thereafter, it is shown that local heating by magnetic fields as well as global thermal heating can be used to efficiently and reversibly aggregate, magnetically extract nanoparticles from solution and spontaneously redisperse them. The coupling of magnetic and thermally responsive properties points to novel uses as smart materials, for example, in integrated devices for molecular separation and extraction.
Entities:
Keywords:
core−shell nanoparticles; iron oxide nanoparticles; magnetic heating; polymer shell grafting; responsive PNIPAM brush
Iron oxide nanoparticles
have found widespread use in the biomedical field as well as for biotechnological
applications. They are already in commercial use as contrast agents
and as part of biomolecule extraction and purification systems;[1−3] their uses in biosensors and for drug delivery are under increasingly
intense development.[3,4] A crucial point for all biomedical
and biotechnological applications is the ability to disperse the nanoparticles
and to control their state of aggregation. Most often, a highly solvated
polymer brush is used to suspend nanoparticles, which for pharmaceutical
applications almost exclusively is PEG or dextran.[1] The formed can be grafted to the particle surface; however,
the latter is used as a physisorbed shell around the particle cores
which yields poor control over surface and colloidal properties.Poly-N-isopropylacrylamide (PNIPAM) brushes are
interesting alternatives to form the hydrophilic polymer shell around
the iron oxide core and their introduction could open up a large range
of new applications. For example, a PNIPAM brush shell allows dispersion
of superparamagnetic iron oxide nanoparticles in aqueous medium, but
it could also allow for reversible aggregation and dispersion due
to its drastic change in solvation at ∼32 °C. This lower
critical solution temperature (LCST) for PNIPAM was first described
by Heskins and Guillet.[5] Reversible temperature-induced
aggregation at biologically relevant temperatures of well-dispersed
particles is useful for many diverse applications,[6] e.g., for drug delivery,[7,8] self-healing
materials, sensors and self-tuning catalysts,[6] synthetic cells and organelles,[9,10] efficient
separation of NPs, emulsions and captured ligands[6,11−13] or as building blocks in responsive membranes.[14] The latter two are interesting novel technologies
for molecular separation and fishing. Although the biocompatibility
of PNIPAM for in vivo applications is still in question, biotechnological
applications only require that the particles can perform their function
in various molecularly and colloidally complex environments.Superparamagnetic iron oxide cores, which have diameters below 15
nm, are individually not easily translocated or extracted from solution
by a magnetic field gradient. The field of even a lab-type permanent
magnet is not sufficient for this purpose. Stabilization of individual
particles by a PNIPAM shell is in light of this particularly interesting;
such particles could (a) be easily and stably dispersed in, e.g.,
a biofluid, (b) be separated by magnetic fields after temperature
induced aggregation,[11] which increases
the effective magnetic particle size, and (c) the aggregation could
be induced by local magnetic heating in alternating magnetic fields[14−17] without direct change of the global temperature. Making use of increasingly
sophisticated and precisely controlled iron oxide core–PNIPAM
shell nanoparticles, such possibilities have started to be investigated.
For example, Lu and co-workers showed that magnetic nanoparticles
coated by copolymers including PNIPAM blocks could be used as draw
solution for desalination where the nanoparticles later were partly
removed by heat-induced aggregation and application of a magnetic
field.[11] Additionally, the introduction
of self-quenching fluorophores in thermoresponsive shells has been
suggested and demonstrated as a way to determine the local temperature
of magnetic particles in a biological environment or subject to alternating
magnetic fields.[18−20] Riffle and co-workers also showed that thermally
induced aggregation of iron oxide nanoparticles greatly increases
the T2 contrast used for magnetic resonance
imaging,[19] which suggests dynamic and enhanced
performance for biomedical imaging of nanoparticles that can undergo
externally controlled aggregation. Using thermoresponsive, aggregating
iron oxide nanoparticles it was also recently shown that the expulsion
of water from close to the core above the LCST makes it possible to
use such nanoparticles as nanoscopic thermometers to measure and image
temperature change by magnetic resonance imaging.[21]Encapsulation of iron oxide magnetic cores in thermoresponsive
polymer shells has previously been attempted by a number of groups.
Most research has focused on the formation of microgels or other large
and disordered assemblies of thermoresponsive polymer and multiple
magnetic cores.[7,22−26] The coarse encapsulation in such systems leads to
large particles with multiple cores and high polydispersity. Structurally
more well-defined and smaller responsive nanoparticles would be beneficial
when molecular-scale applications are approached and the bottom-up
assembly of smart, responsive materials based on nanoparticle building
blocks is desired. In several cases, the cores have been encapsulated
by block copolymers,[8,11,24,27,28] where one
of the blocks is thermoresponsive (typically PNIPAM). In most cases,
a core–shell structure has not been shown, which can be attributed
to the common use of electrostatic, hydrophobic, or other weak multivalent
anchoring of initiator or polymer to the cores.[8,27,28] Transmission electron microscopy (TEM) inspection
often show morphologies indicative of multiple core aggregates. The
predominance of such aggregates was corroborated by hydrodynamic diameters
far exceeding 100 nm, which is incompatible with individually stabilized
core–shell architectures.[23,24]It is
advantageous for all applications to have as well-defined nanostructures
as possible, and for responsive nanoparticles this means that core–shell
structures are typically preferred.[6] A
well-defined core–shell nanoparticle has individually stabilized
spherical cores of low polydispersity, coated with a densely grafted
polymer brush shell of defined thickness.[1] A controlled and monodisperse architecture ensures uniform properties
that can be optimized for the application. We have therefore studied
different approaches to graft PNIPAM brush shells onto monodisperse
superparamagnetic iron oxide nanoparticles.The common ways
to functionalize nanoparticles with individual polymer dispersant
shells and achieve a core–shell structure can be divided into
“grafting-from” and “grafting-to” polymer
grafting approaches. The grafting density that can be achieved is
an important criterion to ensure the colloidal stability of core–shell
nanoparticles. For superparamagnetic iron oxide nanoparticles, grafting
densities of >0.5 chains/nm2 of PEG-dispersants in the
3–10 kDa range have been reported necessary for colloidal stability;[1,29] for reversibly thermally actuated nanoparticles the required grafting
density might even be higher.Grafting-to[26] and grafting-from[25,27,30−35] for the preparation of metal/metal oxide–PNIPAM core–shell
nanoparticles was performed on different cores (gold,[32,36,37] silicon oxide,[35] iron oxide,[25,26,30,38] zinc oxide[33])
and with different polymerization methods (atom transfer radical polymerization
(ATRP),[32,34,35,39] nitroxide mediated polymerization (NMP),[30] and reversible addition–fragmentation
transfer radical polymerization (RAFT)).[38,40] Quite often, the generated core–shell materials are analyzed
via TGA, but no statement about the surface coverage is made.[25,26,30,31,33,34] Only a few
papers reported on the grafting density of PNIPAM by grafting-from
approaches with values of 0.3 chains/nm2 on iron oxide,[38] 0.45 chains/nm2 on silicon oxide,[35] and 0.9 chains/nm2 on gold.[32] For grafting-to of PNIPAM, no literature value
was found with respect to the grafting density but similar hydrophilic
but not thermoresponsive polymers such as PEG have been studied. In
particular, recent works have shown the challenge to achieve high
grafting density with the grafting-to approach when the displacement
of oleic acid from synthesis of monodisperse cores is required.[29,41] We recently compared one-step and two-step grafting-to reactions
of functionalized PEGs onto iron oxide nanoparticles.[29] Direct oleate ligand exchange with a nitrodopamine-PEG
dispersant resulted in densities of ≤ 0.5 chains/nm2, whereas modification of the surface with an amino-functionalized
anchor and subsequent grafting of PEG under melt conditions led to
grafting densities of 2–3 chains/nm2 of PEG (5 kDa)[29] and an unusual star polymer-like shell density
profile.[42] For both grafting-from and grafting-to,
the grafted polymer requires a chain termination binding to the inorganic
nanoparticle core that replaces the oleic acid and forms a stable
covalent bond.An important aspect is that anchoring of the
thermoresponsive dispersant should be through a linker that binds
irreversibly and can withstand actuation at temperatures much higher
than room temperature.[1,4] The low average and with time
decreasing grafting density resulting from using the strongly binding
but reversible anchor dopamine[43] to anchor
pH- and thermoresponsive shells to magnetic nanoparticles has been
described by Schmalz and co-workers;[39] this
results in increasing aggregation and increasingly difficult redispersion
of nanoparticles under induced aggregation. Nitrocatechols represent
a class of ligands that gives irreversible binding of a grafted polymer
to iron oxide and that also withstands heating and other severe challenges.[4,15,29,43] For thermally and especially magnetically actuated core–shell
nanoparticles, this stability to heating is particularly important
due to the high local temperatures expected from magnetic heating
and the stress induced by strong deformation of the polymer shells.
Therefore, our polymer dispersants and initiators were modified with
nitrodopamine to serve as anchors to the nanoparticle surface.In the few previous studies where PNIPAM-coated magnetic particles
have been described, the spontaneous redispersion upon cooling of
thermally aggregated particle suspensions is not discussed or redispersion
is referred to as possible after sonication.[19] This indicates that the grafting density or dispersant stability
of all particles were not sufficient to keep the cores separated after
aggregation; strong van der Waals attraction between cores at close
proximity prohibits easy redispersion. The different grafting methods
investigated in this work were therefore evaluated on their ability
to produce individually dispersed NPs in water and the possibility
to thermally and magnetically, completely and reversibly actuate aggregation
of the NPs. The results suggest that densely grafted linear polymers
of sufficiently high molecular weight are a necessary requirement
to ensure spontaneous reversible aggregation and deaggregation of
PNIPAM coated core–shell nanoparticles.
Results and Discussion
Core Synthesis
The oleic acid functionalized iron oxide nanoparticles were prepared
with an adapted protocol described by Hyeon et al.[44] using thermal decomposition of iron pentacarbonyl in dioctyl
ether and oleic acid for stabilization and size regulation. The superparamagnetic
magnetite nanoparticles are monocrystalline and display high sphericity
and narrow size distributions as judged from transmission electron
microscopy. Size determination was done using the freeware Pebbles[45] giving nanoparticle size distributions of 3.9
± 0.3 nm and 10.7 ± 0.9 nm for the cores used for grafting-to
modification and 5.6 ± 0.5 nm for the cores used for the grafting-from
polymerization. After synthesis, the iron oxide cores are covered
by a nonpolar shell of strongly bound oleic acid, which has to be
replaced with the PNIPAM dispersant or a surface binding initiator.
Polymer Shell Synthesis and Grafting
For the grafting-to
approach, acid terminated poly(N-isopropylacrylamide)
was prepared by ATRP using 2-methyl-2-bromopropionic acid as the initiator
(Scheme ). Polymers
in the molecular weight range of 5 to 20 kDa could be prepared with
low polydispersity (1.1–1.2). These precursor polymers were
modified with 6-nitrodopamine using COMU as coupling agent (Scheme ). Excess of the
low molecular weight catechol was removed by dialysis, as it would
compete with the polymer dispersant for binding sites on the nanoparticle
surface.
Scheme 1
Synthesis of Nitrocatechol Functionalized PNIPAM
(a) ATRP of NIPAM with acid functionalized initiator (water/methanol
9/1), CuBr, CuBr2, tris[2-(dimethylamino)ethyl]amine (Me6Tren), (b) 6-nitrodopamine hydrogensulfate, COMU, DMF, N,N-diisopropylethylamine, (c) grafting
onto iron oxide nanoparticles, DMF, ultrasonication.
Synthesis of Nitrocatechol Functionalized PNIPAM
(a) ATRP of NIPAM with acid functionalized initiator (water/methanol
9/1), CuBr, CuBr2, tris[2-(dimethylamino)ethyl]amine (Me6Tren), (b) 6-nitrodopamine hydrogensulfate, COMU, DMF, N,N-diisopropylethylamine, (c) grafting
onto iron oxide nanoparticles, DMF, ultrasonication.The nitrodopamine-modified polymers were then reacted
with oleic acid-capped iron oxide nanoparticles of different sizes
(Table , Scheme ) to graft PNIPAM
chains onto the nanoparticle surface. An excess of polymer, most often
equivalent to 3 polymer chains/nm2 (iron oxide surface),
was chosen to facilitate the ligand exchange. DMF was chosen as solvent
for the ligand exchange, because it allows dissolution of both PNIPAM
and oleic acid. The reaction was conducted under ultrasonication to
disperse the nanoparticle cores in the reaction medium. Higher MW
PNIPAM was chosen for the large core particles than for the small
core particles to increase the shell thickness and thereby reduce
potential interparticle interactions. After precipitation, the nanoparticles
were purified by dialysis to remove excess dispersant and other reaction
byproducts.
Table 1
PNIPAM Iron Oxide
Core–Shell Nanoparticles by Grafting-to and Grafting-from
core diameter (nm)a
Mn PNIPAM-NDA (kDA)b
polydispersity Đb
weight loss (200–600 °C) (wt %)c
inorganic fractionc (wt %)
grafting density
σ (chains/nm2)c
3.9 ± 0.3d
10
1.1
72
25
0.6
10.7 ± 0.9d
20
1.2
74
21
1.0
5.6 ± 0.5e
70
1.5
91
5
0.8
Core diameter determined
by Pebbles[45] analysis of TEM images (≥100
particles).
Molecular weight
determination by GPC in DMF (5 wt % LiBr), a correction factor ∼2.7
was estimated from comparing GPC Polystyrene (PS) equivalent mass
of an acid terminated PNIPAM (target MW 10 000 g/mol) with Mn determined by MALDI-TOF MS (see the Supporting Information, Figure S8).
Weight loss (200–600 °C)
and inorganic fraction determined by TGA and grafting density calculated
from average molecular weight, weight loss (200–600 °C),
inorganic fraction and average core diameter (see the Supporting Information for example calculation),
100 wt % is the sum of weight loss 200–600 °C, inorganic
fraction and mass loss from 25 to 200 °C (solvent traces, humidity).
Particles functionalized by
grafting-to.
Particles functionalized
by grafting-from.
Synthesis of Surface Binding Initiator 4 and “Grafting-from” Polymerization of N-Isopropylacrylamide
(a) KOH, (b) 2-methyl-2-bromopropionyl
bromide, triethylamine, (c) N-hydroxysuccinimide,
6-nitrodopamine hydrogensulfate, triethylamine, (d) ligand exchange
reaction, (e) SI-ATRP of N-isopropylacrylamide.We additionally investigated the grafting-from
approach. For the surface-initiated polymerization, initiator 4 was prepared in a three-step process, starting with base
catalyzed hydrolysis of ω-6-hexadecenlactone (Scheme ). Subsequently, the terminal
hydroxyl group was esterified with 2-methyl-2-bromopropionyl bromide.
The final step is the amidation with 6-nitrodopamine to generate initiator 4. Initiator particles were then prepared by ligand exchange
of the oleic acid coated particles with initiator 4 in
DMF. Analysis of the initiator particles (size 5.6 ± 0.5 nm)
by thermogravimetric analysis (TGA) gave a weight loss in the interval
200–600 °C of 59 wt % and an inorganic fraction of 37.7
wt %; this translates into a grafting density of 7.6 molecules/nm2 of initiator 4 on the iron oxide surface (assuming
only initiator 4 in the shell). IR spectroscopy of these
particles revealed a new band at 1725 cm–1, which
was assigned to the carbonyl group of the bromoisobutyrate. Free and
bound remaining oleic acid were still detected (for a detailed IR-analysis,
see the Supporting Information, Figure
S7). This explains the overestimate of the grafting density of the
initiator (higher than the theoretical highest grafting density),
which was caused by the additional oleic acid mass in the sample.
Scheme 2
Synthesis of Surface Binding Initiator 4 and “Grafting-from” Polymerization of N-Isopropylacrylamide
The particles were then used for the surface-initiated ATRP of N-isopropylacrylamide (NIPAM). From literature, it is known
that the ATRP of NIPAM proceeds in a living fashion in the presence
of water.[46,47] The hydrophobic initiator particles were
not soluble in water or water/methanol mixtures and thus had to be
dispersed through sonication. In the course of the polymerization,
the nanoparticles become soluble in the reaction solvent, due to growth
of the hydrophilic shell. Coarse purification of the nanoparticles
was done by dissolving the crude product in tetrahydrofuran (THF),
precipitation in diethyl ether and subsequent magnetic decantation.
Residual free polymer was removed by dialysis in water using membranes
with a cutoff size of 1000 kDa to take into account the large coil
size of PNIPAM in water. The high molecular weight cutoff corresponds
to a pore size >30 nm, which ensures that the PNIPAM in hydrated
coil conformation can pass through the pores while nanoparticles were
retained. To verify that all free PNIPAM was removed, dialysis for
an additional day was performed, which resulted in no further reduction
of organic content measured by TGA. For molecular weight determination,
the shell polymer was cleaved off by treating the core–shell
nanoparticles with diluted hydrochloric acid (1 M). GPC analysis of
the cleaved off polymer gave a molecular weight of 70 kDa and a polydispersity
of 1.5, which is in the range of controlled radical polymerization.
Characterization of the Polymer Shell
Figure shows attenuated total reflection-Fourier
transform infrared spectroscopy (ATR-FTIR) measurements of the grafting-to
and grafting-from samples. The spectra of the grafting-to samples
confirm successful ligand exchange from oleic acid to catechol-modified
PNIPAM, with new bands at 3280, 1640, and 1540 cm–1 that can be assigned to the NH protons and the amide bond of the
grafted polymer.[48] The broad band in the
range of 400 to 600 cm–1 can be assigned to the
presence of the iron oxide core. The spectrum of the grafting-from
sample resembles the grafting-to products, which demonstrates successful
polymerization of PNIPAM shells on the cores. A small sideband at
1725 cm–1 is attributed to the ester bond of the
surface bound initiator. The presence of bound oleic acid cannot be
excluded by evaluating characteristic bands in the range from 1420
to 1550 cm–1, because the polymer bands dominate
the spectrum in this region. However, a characteristic peak of free
or physisorbed oleic acid[49,50] at 1702 cm–1 was not present in the final product. The difficulty of totally
replacing oleic acid even with a more strongly binding dispersant
was recently demonstrated.[41]
Figure 1
ATR-FTIR measurements
for oleic acid coated iron oxide nanoparticles and PNIPAM functionalized
nanoparticles synthesized with both the grafting-to and grafting-from
methods. Characteristic peak for free or physisorbed oleic acid (marked
by *) is absent for the PNIPAM-iron oxide core–shell particles.
Characteristic bands at 3280, 1640, and 1540 cm–1 marked with light blue shadow can be assigned to the NH protons
and the amide bond of the grafted PNIPAM.
ATR-FTIR measurements
for oleic acid coated iron oxide nanoparticles and PNIPAM functionalized
nanoparticles synthesized with both the grafting-to and grafting-from
methods. Characteristic peak for free or physisorbed oleic acid (marked
by *) is absent for the PNIPAM-iron oxide core–shell particles.
Characteristic bands at 3280, 1640, and 1540 cm–1 marked with light blue shadow can be assigned to the NH protons
and the amide bond of the grafted PNIPAM.TGA was performed in synthetic air (to combust completely
all organic material[51]) to estimate the
total organic content (TOC) of the nanoparticle sample corresponding
to the amount of grafted polymer. The total organic content was calculated
from the weight loss from 200 to 600 °C. Below 200 °C, mass
loss is mainly due to evaporation of solvent and the combustion of
the shell is completed at 600 °C. The mass loss curves exhibit
a two-step profile (see the Supporting Information, Figure S3). The average grafting density of PNIPAM can be calculated
by dividing the weight loss (200–600 °C) by the total
surface area of the particles (calculated from the particle size and
the inorganic weight fraction) and by assuming the average molecular
weight of the PNIPAM dispersant. A grafting density of ∼0.6
chains/nm2 was calculated from TGA for the grafting-to
particles with 3.9 nm cores and ∼1.0 chains/nm2 for
the grafting-to particles with 10.7 nm cores (see Table ). Such grafting densities have
previously been discussed as a threshold for colloidal stability of
superparamagnetic nanoparticles in complex media and under thermal
actuation.[1,29,43] The relatively
high grafting density for the grafting-to approach when compared to
planar surfaces and previous reports, can be explained by the care
taken to minimize the coil size of the PNIPAM-nitrodopamine during
ligand replacement. The coil size footprint determines the grafting
density if sufficiently high affinity can be achieved for the polymer
anchor group under conditions that solubilize the oleic acid covering
the core surface.[29] On a highly curved
nanoparticle surface the effective highest achievable grafting density
will be higher than on a planar surface has more severe steric constraints.[1]Core diameter determined
by Pebbles[45] analysis of TEM images (≥100
particles).Molecular weight
determination by GPC in DMF (5 wt % LiBr), a correction factor ∼2.7
was estimated from comparing GPC Polystyrene (PS) equivalent mass
of an acid terminated PNIPAM (target MW 10 000 g/mol) with Mn determined by MALDI-TOF MS (see the Supporting Information, Figure S8).Weight loss (200–600 °C)
and inorganic fraction determined by TGA and grafting density calculated
from average molecular weight, weight loss (200–600 °C),
inorganic fraction and average core diameter (see the Supporting Information for example calculation),
100 wt % is the sum of weight loss 200–600 °C, inorganic
fraction and mass loss from 25 to 200 °C (solvent traces, humidity).Particles functionalized by
grafting-to.Particles functionalized
by grafting-from.The grafting-from
particles with 5.6 nm cores had a grafting density of ∼0.8
chains/nm2. The relatively low density of the surface initiated
polymerization can be attributed to low surface coverage of initiator.
IR analysis of the initiator particles showed residual free and bound
oleic acid (see the Supporting Information, Figure S7). Even if a minor, in the case of the grafting-to samples
undetected, fraction of oleic acid could still be present on the surface
as described above,[52] this would not significantly
affect the determination of the grafting density due to the much higher
molecular weight of the grafted PNIPAM than of oleic acid. In summary,
all achieved grafting densities are sufficient to achieve colloidal
stability at physiological temperatures when compared to literature.[1] The grafting density achieved for the large core
particles by grafting-to and by grafting-from should also be sufficient
for smart materials applications where cores might aggregate and have
to redisperse.[6,43,53] However, in none of the cases was a grafting density achieved that
is expected to go beyond a spherical brush to a star polymer-like
density profile as was recently reported for core–shell particles.[42,54]The PNIPAM-grafted core–shell nanoparticles were inspected
by TEM and showed highly monodisperse, individually separated nanoparticles
dried on the grid, with no change to core morphology (Figure ). For particles produced by
grafting-from, some clusters of cores could be observed on the grid
(see the Supporting Information, Figure
S9). Although the bulk aggregation state of nanoparticles cannot be
directly determined after drying onto TEM grids, it is possible that
the difficulty to disperse the initiator-coated cores in water mixtures
at the start of the polymerization led to some growth proceeding from
aggregated clusters of cores and that it is those aggregates that
are observed on the TEM grid. The cores in such clusters would effectively
share a common dense PNIPAM shell. The grafting-from samples had a
much lighter color than the grafting-to samples; this is also indicative
of a nonhomogenous distribution of cores at the same concentration.
If clusters are indeed present, it means that the local grafting density
for the exposed surface of the grafting-from particles presented in Table should be adjusted
slightly upward; however, it also results in an intrinsic higher polydispersity
due to the fraction of clusters.
Figure 2
TEM images of iron oxide–PNIPAM
core–shell nanoparticles formed by ligand exchange grafting-to
synthesis, (A) core, 3.9 nm, PNIPAM 10 kDa; (B) core 10.7 nm, PNIPAM
20 kDa; or grafting-from polymerization (C) core 5.6 nm, PNIPAM 70
kDa.
TEM images of iron oxide–PNIPAM
core–shell nanoparticles formed by ligand exchange grafting-to
synthesis, (A) core, 3.9 nm, PNIPAM 10 kDa; (B) core 10.7 nm, PNIPAM
20 kDa; or grafting-from polymerization (C) core 5.6 nm, PNIPAM 70
kDa.
Thermally Induced Aggregation
and Redispersion
The size and reversible aggregation of the
individually stabilized core–shell nanoparticles at a concentration
of one mg/mL in ultrapure water were studied by dynamic light scattering
(DLS) (Figure ). The
hydrodynamic sizes determined at room temperature (20 °C) by
DLS were 19 nm for the 3.9 nm/10 kDa PNIPAM and 45 nm for the 10.7
nm core/20 kDa PNIPAM particles. The grafting-from particles had a
hydrodynamic diameter of 30–40 nm, but possibly due to the
presence of clustered cores some uncertainty in the determination
of the hydrodynamic diameter was observed. The DLS detector count
rate (Figure B,D,F)
is a sensitive measure of aggregation due to its strong scaling with
aggregate size, and it provides a less biased measure than the main
number peak size determined by the built-in CONTIN algorithm (Figure A,C,E). However,
the count rate recorded at a single angle in DLS is susceptible to
the influence of many parameters of the sample, such as changes in
size and refractive index that change the scattering angle distribution
and thereby the count rate at a fixed detector angle. The interpretation
of a change in count rate is therefore not unambiguous. Nonetheless,
it provides a sensitive indicator to determine the temperature-induced
onset of aggregation and deaggregation through a mere change in count
rate.
Figure 3
Dynamic light
scattering data showing hydrodynamic diameter (main peak of the number
weighted size distribution) and intensity count rate vs temperature.
Heating (red diamonds) and cooling steps (blue squares) were 1 °C
with 5 min to equilibrate at each measurement point, symbols represent
mean values from 3 runs with error bars giving the standard deviation,
(A and B) grafting-to 3.9 nm core/PNIPAM 10 kDa, (C and D) grafting-to
10.7 nm core/PNIPAM 20 kDa, (E and F) grafting-from 5.6 nm core/PNIPAM
70 kDa.
Upon heating, a distinct increase in the count rate followed
by an increase in the main peak size is observed at temperatures corresponding
closely to the LCST of free PNIPAM in water (32 °C for 10.7 nm/20
kDa, 33 °C for 3.9 nm/10 kDa and 32 °C for the grafting-from
particles). The small difference in observed LCST between the samples
is not likely to be due to a real difference in LCST of the polymer
due to differences in grafting, because the determination of the LCST
is sensitive to the few data points acquired within the transition
region. Although a clear increase in size and count rate was measured,
visual inspection of the solutions (concentration: 1 mg/mL) above
their respective LCST did not show any turbidity; this indicates a
low level of weak aggregation and only small cluster size. Increasing
the concentration to 5 mg/mL resulted in turbid samples and some reversible
precipitation; this confirms the expectation of a concentration dependent
aggregation and precipitation for weakly aggregating colloids.Dynamic light
scattering data showing hydrodynamic diameter (main peak of the number
weighted size distribution) and intensity count rate vs temperature.
Heating (red diamonds) and cooling steps (blue squares) were 1 °C
with 5 min to equilibrate at each measurement point, symbols represent
mean values from 3 runs with error bars giving the standard deviation,
(A and B) grafting-to 3.9 nm core/PNIPAM 10 kDa, (C and D) grafting-to
10.7 nm core/PNIPAM 20 kDa, (E and F) grafting-from 5.6 nm core/PNIPAM
70 kDa.Significant hysteresis was observed
in DLS upon cooling. The hysteresis was more pronounced in the main
hydrodynamic size peak than in the count rate. Indeed, the small nanoparticles
spontaneously never fully recovered to the initial count rate and
size values during the measurement. Although, the difference between
the small and large nanoparticles could be related to size, we hypothesize
that this incomplete recovery is related to the lower dispersant density
and thinner shell grafted to the 3.9 nm/10 kDa nanoparticles. A thinner
polymer shell leads to closer proximity of the cores during aggregation
and therefore stronger particle–particle adhesion that has
to be overcome when the PNIPAM rehydrates below the LCST. Additional
energy input through mild agitation redispersed also these nanoparticles
at room temperature.Our results show the LCST to be independent
of grafting method and grafting density within the investigated interval
of grafting densities. Such independence has been observed for planar
PNIPAM brushes at lower grafting density than on our nanoparticles
but for similar PNIPAM molecular weight. However, recent reports[55,56] have described large increases in the LCST of PNIPAM hydro- and
microgels with increasing concentration of incorporated iron oxide
nanoparticles. In view of our results, it is likely that the increase
in LCST in these studies is related to the increasing direct interaction
of PNIPAM chain segments with the unfunctionalized iron oxide nanoparticle
surfaces as the nanoparticle concentration is increased. In our core–shell
nanoparticle system, the PNIPAM chains are densely end-grafted through
the nitrodopamine anchor, which limits the access of free chain segments
to the iron oxide surface, and neither dependence on grafting density
nor on particle concentration is observed for the LCST. Further support
for this interpretation is lent by previous findings for PNIPAM adsorbed
to silica, showing a loss of responsiveness when directly adsorbed
to colloid surfaces at low density and recovered responsiveness at
higher surface densities that force extension of more polymer segments
away from the particle surface.[57]The aggregate hydrodynamic size measured by DLS stayed at almost
the same value at temperatures above the LCST. This behavior was previously
observed for individually stabilized (small; 4 nm and polydisperse)
thermoresponsive nanoparticles,[23] and was
then suggested to indicate the ability to tailor cluster size by nanoparticle
properties. It can be observed that the small (3.9 nm core/10 kDa)
nanoparticles produced clusters with negligibly larger sizes than
the individual particles, indicative of only a few cores per aggregate.
However, the large (10.7 nm core/PNIPAM 20 kDa) nanoparticles produced
aggregates that were 1 order of magnitude larger than the individual
nanoparticles; large aggregate size will facilitate magnetic separation.
Thanks to the dense and thick shell (high grafting density and high
PNIPAM dispersant molecular weight) of the 10.7 nm core/PNIPAM 20
kDa, these particles also showed spontaneous redispersion upon cooling
as monitored by the scattering intensity, which is additionally beneficial
for magnetic separation applications.The grafting-from particles
also have a dense and thick PNIPAM shell. These particles also displayed
spontaneous and complete redispersion upon cooling as monitored by
the scattering intensity. The hydrodynamic diameter measured for these
samples was too variable to make any conclusions about size changes
and thermally aggregated cluster sizes. The scattering intensity increases
strongly with size, although other factors such as changes in refractive
index and precipitation also have a strong influence; it is likely
that the hypothesized clustered cores in a fraction of the sample
strongly influence the determination of the main number weighted peak
size plotted in Figure . Summing up, combined with the result for the large grafting-to
cores, this result supports the conclusion that a dense and thick
spherical brush end-grafted to the inorganic core is key to full,
spontaneous, and reversible thermal actuation.Interestingly,
in early studies on PNIPAM encapsulating, multiple magnetic cores
or on large PNIPAM-gel particles coated with magnetic particles the
hydrodynamic diameter was measured to decrease with increased temperature.[23−25] The relative decrease in size in these studies was always minor
compared to the known volume change of PNIPAM above the LCST. This
might again be due to the uncontrolled direct interaction of polymer
with the nanoparticle surface for such colloids leading to a loss
of responsiveness.[57] Thus, the small relative
volume change and the reduction instead of increase in size point
to weak desolvation and lack of aggregation; this would be disadvantageous
to applications relying on particle extraction as will be demonstrated
below. The individually stabilized thermoresponsive core–shell
nanoparticles presented in our work display a more desirable behavior
in this respect.
Thermally Induced Aggregation and Magnetic
Extraction
Well-stabilized core–shell superparamagnetic
nanoparticles cannot be aggregated and extracted by the field of even
a strong permanent magnet or magnetic column. However, if the hydration
of the shell is reduced and weak aggregation of the nanoparticles
occurs, the aggregates can be extracted by much lower magnetic field
gradients. The low LCST of PNIPAM makes this transition possible at
temperatures that are compatible with handling biomolecules. PNIPAM-grafted
superparamagnetic particles could therefore be of interest to enhance
performance of magnetic extraction columns for fishing, e.g., proteins
out of complex biological fluids.Figure A shows the stability of the 10.7 nm core/20
kDa PNIPAM superparamagnetic particles to the magnetic field produced
by a strong permanent magnet at room temperature below the LCST; all
the individually stabilized particles remain dispersed. Upon heating
to 40 °C (above the LCST of 32 °C), the core–shell
particles weakly aggregate as shown by the DLS measurements above.
The aggregates in the turbid particle dispersion can then be attracted
by the same magnetic field (Figure B). The almost complete extraction of nanoparticles
observed at moderate heating with a standard magnet contrasts to the
incomplete withdrawal demonstrated earlier by nanoparticles with a
physisorbed block copolymer PNIPAM shell architecture[11] or by polydisperse PNIPAM-grafted nanoparticles.[19] Upon cooling below the LCST, the brown precipitate
was redissolved by gentle shaking, demonstrating the reversibility
of the process and the stability of the core–shell nanoparticles
against thermal stress.
Figure 4
Sample (10.7 nm/PNIPAM 20 kDa, 5 mg/mL) in a
poly(methyl methacrylate) (PMMA) cuvette placed upon a neodym magnet,
(A) at room temperature, (B) at 40 °C. In plastic cuvettes, a
discoloration of the cuvette wall remains, interpreted as a high affinity
of the dehydrated PNIPAM for the cuvette walls.
Sample (10.7 nm/PNIPAM 20 kDa, 5 mg/mL) in a
poly(methyl methacrylate) (PMMA) cuvette placed upon a neodym magnet,
(A) at room temperature, (B) at 40 °C. In plastic cuvettes, a
discoloration of the cuvette wall remains, interpreted as a high affinity
of the dehydrated PNIPAM for the cuvette walls.
Magnetic Heating
Superparamagnetic nanoparticles interact
with an externally applied oscillating magnetic field of the right
frequency to produce heat by Néel relaxation.[4] Large ferromagnetic particles coated by random block copolymer
with PNIPAM blocks have been shown to not pass a size exclusion column
during the application of an alternating magnetic field that raised
the bulk temperature of the solution above the LCST.[58] It is conceivable that desolvation of the shell leading
to aggregation of the nanoparticles could be achieved exclusively
through the application of an alternating magnetic field, because
the heat produced by magnetic heating is locally produced in the center
of the PNIPAM polymer brush grafted to the nanoparticle core surface.
That magnetic heating changes the solvation of the shell without change
in the bulk temperature above the LCST is suggested by results by
Rinaldi and co-workers on iron oxide nanoparticles with a PNIPAM shell
incorporating fluorophores.[18] To investigate
this hypothesis applied to magnetic separation, we exposed the largest
nanoparticle (10.7 nm core/20 kDa PNIPAM) at a concentration of 5
mg/mL in water to a magnetic field at 228 kHz using an Ambrell magnetic
heater. The largest cores are expected to lead to the most efficient
magnetic heating response. After 5 min actuation, the initially clear
brown solution (Figure A) turned turbid (Figure B). The bulk solution temperature at this point was 32.4 °C,
which equals the LCST of the PNIPAM in the shell. A brown precipitate
was visible after actuation for additionally 5 min (Figure C), at which point the bulk
solution temperature had increased to 35.7 °C. After cooling
down, the precipitate easily redispersed by gentle shaking (Figure D), proving the reversibility
of the magnetic heating cycle just as for the purely thermally actuated
particles. Analogous experiments with the same sample at a concentration
of 1 mg/mL did not show turbidity or aggregation after prolonged magnetic
actuation for 20 min (bulk solution temperature: 37.2 °C), although
particle aggregation was clearly shown for purely thermal heating
at this concentration by DLS.
Figure 5
Magnetic actuation of iron oxide PNIPAM nanoparticles
(grafting-to, core 10.7 nm/PNIPAM 20 kDa), dissolved in water (5 mg/mL),
(A) clear dispersion before magnetic actuation, solution temperature
24 °C, (B) aggregation and turbidity after 5 min actuation, solution
temperature 32.4 °C, (C) precipitation after 10 min actuation,
solution temperature 35.7 °C, (D) redispersion of aggregated
particles after cooling down to below the LCST.
Magnetic actuation of iron oxide PNIPAM nanoparticles
(grafting-to, core 10.7 nm/PNIPAM 20 kDa), dissolved in water (5 mg/mL),
(A) clear dispersion before magnetic actuation, solution temperature
24 °C, (B) aggregation and turbidity after 5 min actuation, solution
temperature 32.4 °C, (C) precipitation after 10 min actuation,
solution temperature 35.7 °C, (D) redispersion of aggregated
particles after cooling down to below the LCST.Turbidity will be observed when particles with desolvated
shells collide and aggregate to aggregates that on average are large
enough to scatter light strongly. This transition should therefore
depend on the concentration of the sample (controlling the frequency
of collisions) and the degree of desolvation and collapse of the PNIPAM
shell (controlling the probability to aggregate upon collision and
the probability to desorb from an aggregate). The latter will depend
on the local temperature, which is a balance of the heat produced
by the magnetic core in the oscillating magnetic field and the heat
transfer (diffusion) from the core to the bulk liquid.Our result
demonstrates that magnetic heating can be used to efficiently and
reversibly aggregate PNIPAM-grafted superparamagnetic nanoparticles.
However, at least at concentrations up to 5 mg/mL of large 10.7 nm
core/PNIPAM 20 kDa superparamagnetic nanoparticles and with a standard
magnetic heater without optimization, the difference in the rates
of heat generation and heat diffusion is not large enough to dehydrate
the entire shell and thereby cause sufficient particle–particle
affinity to cause aggregation upon nanoparticle collision; this only
occurs after the magnetic heating has led to a global rise in temperature.
Heat diffusion in water is fast and apparently sufficiently efficient
for the outer part of the shell of suspended nanoparticles to still
be highly solvated and serve to prevent the core−shell nanoparticles
from aggregating. The heat generation in our quite concentrated nanoparticle
system was, however, sufficiently efficient to heat the entire bulk
solution to the LCST within 5 min, at which point aggregation was
observed; strong aggregation and precipitation was observed after
10 min of magnetic heating.It is important to note that precipitation
was not the result of nanoparticle destruction; the nanoparticles
could easily be redispersed after cooling. This stability can only
be observed when an anchor chemistry like nitrodopamine is used that
can withstand the high local temperature that is produced by the Néel
relaxation heating of the magnetic core.For the grafting-from
sample, the same experiment was conducted (see the Supporting Information, Figure S1). The time until the solution
turned turbid was longer (8 min) in accordance with the lower volume
fraction of iron oxide. The bulk solution temperature was again 32
°C when the onset of turbidity was observed. Additional actuation
for 10 min, which increased the bulk temperature to 36 °C, did
not lead to stronger aggregation and precipitation. Also, this sample
redissolved spontaneously upon cooling. The difference in the strength
of aggregation between the grafting-from and grafting-to samples could
be explained by the thicker shell (higher PNIPAM molecular weight)
of the grafting-from samples. This would facilitate the separation
of the core–shell structures and also possibly lead to higher
interparticle repulsion in the outer parts of the shell, especially
during magnetic heating. Testing of more comprehensibly varied samples
to also rule out any particle concentration effects would be required
to verify such an effect.
Conclusions
We
have demonstrated that colloidally stable superparamagnetic iron oxide
core nanoparticles with densely grafted PNIPAM shells can be obtained
by both grafting-to and grafting-from methods to form the thermoresponsive
polymer brush shell. Grafting-to and grafting-from yielded similar
grafting densities. The lower than expected grafting density obtained
by grafting-from highlighted the difficulty to replace oleic acid
by an active hydrophobic initiator efficiently. The achieved grafting
density is still in the upper range of grafting densities reported
for metal/metal oxide–PNIPAM core–shell nanoparticles.
Additionally, dispersion of initiator-coated particles under conditions
where efficient polymerization could be performed was challenging,
and seemed to result in small, but stable, clusters forming within
a single shell. Still, grafting-from allowed us to reach high molecular
weights of the brush polymer, translating into higher brush thickness,
which would be unlikely to achieve by grafting-to in a direct ligand
exchange reaction where the polymer coil size during ligand replacement
determines the maximum achievable grafting density.High grafting
density and molecular weights ≥20 kDa PNIPAM were observed
necessary for fully reversible thermal or magneto-thermal aggregation
of nanoparticles with rapid redispersion upon cooling. Sufficient
grafting densities of >0.5 chains/nm2 for this molecular
weight could be reached also by the grafting-to method. The key to
this achievement is the use of the high-affinity single anchor group
nitrodopamine and grafting during conditions of low coil size. The
use of end-grafted PNIPAM brushes resulted in retained LCST independent
of grafting density. These achievements opened exciting opportunities
to explore thermal heating combined with magnetic extraction and redispersion
as well as aggregation and redispersion controlled exclusively by
magnetic heating through an externally applied alternating magnetic
field. These possibilities were demonstrated with aggregation being
possible within minutes at relevant concentrations using magnetic
heating. The thermally stable anchoring of the PNIPAM dispersant through
nitrodopamine to the iron oxide nanoparticle surface ensured that
the process could be reversibly repeated without observable deterioration
in particle properties.Interesting next steps would be, e.g.,
the addition of binding sites to the PNIPAM shell that would allow
for controlled capture, magneto-thermal aggregation, extraction and
release of specifically bound biomolecules in integrated systems,
as well as enhanced targeted magnetic resonance imaging and therapy
utilizing the stronger response of induced particle aggregates.
Experimental Section
Materials
All
chemical were purchased from Sigma-Aldrich and were used without further
purification except N-isopropylacrylamide (NIPAM),
which was recrystallized from hexane/toluene v/v: 1/1. Synthesis of
oleic acid coated iron oxide nanoparticles is described in detail
in Zirbs et al.[29]
Synthesis of Acid Terminated
PNIPAM (Mn 10 000 g/mol)
NIPAM (1 g, 8.8 mmol), CuBr (13 mg, 0.09 mmol), CuBr2 (2
mg, 0.009 mmol), and 2-methyl-2-bromopropionic acid (16.7 mg, 0.1
mmol) were weighed in a flask, and 9 mL of Milli-Q water and 1 mL
of methanol were added. The flask was closed with a septum and the
solution was purged for 20 min with nitrogen. The solution was cooled
in an ice bath. Tris[2-(dimethylamino)ethyl]amine (Me6Tren)
(40 μL, 0.15 mmol) was dissolved in Milli-Q water (1 mL), and
the solution was purged with nitrogen for 20 min. The ligand solution
was injected to the monomer solution to start the polymerization.
After 24 h, the flask was opened to air. The polymer was isolated
by heating the solution to 50 °C. The supernatant was disposed.
After drying, the crude product was dissolved in THF and precipitated
in cold diethyl ether. The polymer was collected via centrifugation
and dried in a desiccator. Yield: 980 mg (98%).
Synthesis of
NDA Terminated PNIPAM (Mn 20 000
g/mol)
Acid-terminated PNIPAM (2 g, 0.1 mmol), COMU (51 mg,
0.12 mmol) and DIPEA (17 μL, 0.1 mmol) were weighed in a flask.
The mixture was dissolved in DMF (20 mL), purged with nitrogen for
5 min, and stirred for 1 h, during which the solution turned yellow.
6-Nitrodopamine hydrogensulfate (89 mg, 0.3 mmol) in DMF (1 mL) and
DIPEA (34 μL, 0.2 mmol) were added, and the resulting solution
was stirred at room temperature for 3 days. The solution was acidified
with a few drops of 2 M HCl. The polymer was precipitated by dropping
the solution in cold diethyl ether, collected via centrifugation,
dissolved in water and dialyzed against distilled water until the
water remained clear (membrane cutoff size 3.5 kDa). The NDA terminated
polymer was obtained after freeze-drying in a yield of 1.4 g (70%). 1H NMR (300 MHz, CD3OD, δ): 7.56 (s, 1H),
6.71 (s, 1H), 3.97 (s, 1H, PNIPAM), 3.48 (m, 2H), 3.05 (t, 2H), 0.91–2.36
(m, 9H, PNIPAM), functionality (60–70%).
“Grafting-to”
for the Preparation of Iron Oxide – PNIPAM Core–Shell
Nanoparticle
As synthesized oleic acid capped nanoparticles
(300 mg, inorganic fraction, 30 wt %; core diameter, 10.7 nm) and
NDA terminated PNIPAM (1.4 g, Mn: 20 000
g/mol) were suspended/dissolved in DMF (20 mL). The solution was purged
for 10 min with nitrogen and then sonicated for 24 h. Subsequently,
the core–shell NPs were precipitated in diethyl ether, washed
with n-hexane and air-dried. The crude product was
dissolved in Milli-Q water and dialyzed against distilled water for
24 h (membrane cutoff size 1000 kDa). The resulting solution was filtered
and freeze-dried to obtain PNIPAM-grafted iron oxide nanoparticles
(200 mg).
“Grafting-from” Polymerization
NIPAM
(1 g, 8.80 mmol) and PMDETA (55 μL, 0.26 mmol) were dissolved
into a mixture of water (3.13 mL) and methanol (0.35 mL). The solution
was purged with nitrogen for 15 min and then added to a nitrogen-purged
flask containing copper(I) bromide (13 mg, 0.09 mmol) and copper(II)
bromide (2 mg, 0.009 mmol). After stirring for 30 min, the solution
was transferred to a nitrogen-purged flask containing initiator particles
(for synthesis, see the Supporting Information) (35 mg) suspended in methanol (1 mL) and stirred at maximum speed.
The polymerization was quenched after 20 h by opening the reaction
flask to air. The core–shell particles were isolated by heating
the solution to 50 °C, dried, dissolved in THF and precipitated
into cold diethyl ether. The precipitate was coarsely purified by
magnetic decantation. The black, rubber-like material was dried, dissolved
in water, and dialyzed for 24 h against Milli-Q water (membrane cut
off size: 1000 kDa). Yield: 290 mg.
Analytics
TEM
Transmission electron micrographs were recorded on a FEI Tecnai G2,
with 160 kV acceleration voltage on silicon monoxide coated grids.
Nanoparticle size distributions were calculated with the freeware
Pebbles based on the analysis of ≥100 particles.[45]
ATR-FTIR
IR spectra were recorded
on a Bruker Tensor 37 FTIR spectrometer.
DLS
Hydrodynamic
size, LCST, and temperature cycling experiments were conducted on
a Malvern Zetasizer Nano-ZS. Mean values and standard deviation were
calculated from 3 runs. Samples were dissolved in Milli-Q water at
a concentration of 1 mg/mL and filtered with a RC filter 0.45 μm.
This concentration was chosen due to the absence of visible precipitation
while yielding observable temperature-dependent aggregation.
TGA
Thermal gravimetric analysis was performed on a Mettler Toledo
TGA/DSC1, with 80 mL/min synthetic air as reactive gas and 20 mL/min
nitrogen as protective gas and a heating rate 10 K/min from 25 to
600 °C.
NMR
1H- and 13C NMR were measured on a BRUKER AV III 300 spectrometer. Chemical
shifts were recorded in ppm and referenced to residual protonated
solvent (CDCl3: 7.26 ppm (1H), 77.0 ppm (13C). DMSO-d6: 2.50 ppm (1H), 39.4 ppm (13C). D2O: 4.79 ppm (1H)).
MALDI-TOF MS
MALDI mass spectra were measured on a
Bruker Autoflex speed. Matrix (dithranol in THF (20 mg/mL)) was mixed
with the sample and dropped on the sample holder. No salt was added.
GPC
For GPC measurements, an adapted Dionex HPLC was utilized
with a P680 HPLC pump, an ASI-100 autosampler and a STH585 column
oven. The GPC setup consists of three MZ Gel SDPlus columns (a precolumn
followed by two columns with separation ranges of 10–2000 and
1–40 kDa, respectively). As a detector, a Knauer Smartline
RI Detector 2300 was applied. As eluent, DMF with 5 wt % LiBr was
used. Samples with a concentration of 3 mg/mL were injected and measured
at 60 °C with a flow rate of 0.8 mL/min. As software Chromeleon
6.80 with the extension pack V02 was used. Polystyrene standards 1.5–651
kg/mol were used for external calibration.
Magnetic Actuation
Magnetic heating of the nanoparticles was performed with an Ambrell
Easy Heat LI, with a current of 438.9 A and a frequency of 228 kHz,
coil dimension (height × outer diameter × coil thickness
× number of turns = 37 mm × 37 mm × 2 mm × 6).
The sample was dissolved in Milli-Q water at a concentration of 5
mg/mL and filtered with a RC filter 0.45 μm.
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