Yashu Kharbanda1, Mateusz Urbańczyk1, Ossi Laitinen2, Kirsten Kling3, Sakari Pallaspuro4, Sanna Komulainen1, Henrikki Liimatainen2, Ville-Veikko Telkki1. 1. NMR Research Unit, University of Oulu, 90014 Oulu, Finland. 2. Fibre and Particle Engineering Research Unit, University of Oulu, 90014 Oulu, Finland. 3. National Centre for Nano Fabrication and Characterization, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark. 4. Materials and Mechanical Engineering, Centre for Advanced Steels Research (CASR), University of Oulu, 90014 Oulu, Finland.
Abstract
Highly porous cellulose nanofiber (CNF) aerogels are promising, environmentally friendly, reusable, and low-cost materials for several advanced environmental, biomedical, and electronic applications. The aerogels have a complex and hierarchical 3D porous network structure with pore sizes ranging from nanometers to hundreds of micrometers. The morphology of the network has a critical role on the performance of aerogels, but it is difficult to characterize thoroughly with traditional techniques. Here, we introduce a combination of nuclear magnetic resonance (NMR) spectroscopy techniques for comprehensive characterization of pore sizes and connectivity in the CNF aerogels. Cyclohexane absorbed in the aerogels was used as a probe fluid. NMR cryoporometry enabled us to characterize the size distribution of nanometer scale pores in between the cellulose nanofibers in the solid matrix of the aerogels. Restricted diffusion of cyclohexane revealed the size distribution of the dominant micrometer scale pores as well as the tortuosity of the pore network. T 2 relaxation filtered microscopic magnetic resonance imaging (MRI) method allowed us to determine the size distribution of the largest, submillimeter scale pores. The NMR techniques are nondestructive, and they provide information about the whole sample volume (not only surfaces). Furthermore, they show how absorbed liquids experience the complex 3D pore structure. Thorough characterization of porous structures is important for understanding the properties of the aerogels and optimizing them for various applications. The introduced comprehensive NMR analysis set is widely usable for a broad range of different kinds of aerogels used in different applications, such as catalysis, batteries, supercapacitors, hydrogen storage, etc.
Highly porous cellulose nanofiber (CNF) aerogels are promising, environmentally friendly, reusable, and low-cost materials for several advanced environmental, biomedical, and electronic applications. The aerogels have a complex and hierarchical 3D porous network structure with pore sizes ranging from nanometers to hundreds of micrometers. The morphology of the network has a critical role on the performance of aerogels, but it is difficult to characterize thoroughly with traditional techniques. Here, we introduce a combination of nuclear magnetic resonance (NMR) spectroscopy techniques for comprehensive characterization of pore sizes and connectivity in the CNF aerogels. Cyclohexane absorbed in the aerogels was used as a probe fluid. NMR cryoporometry enabled us to characterize the size distribution of nanometer scale pores in between the cellulose nanofibers in the solid matrix of the aerogels. Restricted diffusion of cyclohexane revealed the size distribution of the dominant micrometer scale pores as well as the tortuosity of the pore network. T 2 relaxation filtered microscopic magnetic resonance imaging (MRI) method allowed us to determine the size distribution of the largest, submillimeter scale pores. The NMR techniques are nondestructive, and they provide information about the whole sample volume (not only surfaces). Furthermore, they show how absorbed liquids experience the complex 3D pore structure. Thorough characterization of porous structures is important for understanding the properties of the aerogels and optimizing them for various applications. The introduced comprehensive NMR analysis set is widely usable for a broad range of different kinds of aerogels used in different applications, such as catalysis, batteries, supercapacitors, hydrogen storage, etc.
Aerogels are the lightest solid materials
on Earth, and they have
a complex pore structure and a high inner surface area.[1] Due to their exceptionally good electronic, mechanical,
acoustical, optical, microstructural, and thermal properties, aerogels
are ideal materials for various applications as adsorbents,[2−4] thermal insulators,[5,6] biomedical materials,[7,8]etc.In recent years, a new type of aerogels
derived from nanocellulose
has become widely applied.[4] The nanocellulose
aerogels are composed of elongated cellulose nanofibers (CNFs) or
rod-shaped nanocrystals with the typical width of 2–4 nm and
length reaching even 1 mm. These aerogels have a high porosity and
ultralow density. Additionally, due to the base material of which
they are made (cellulose) they are biodegradable and environmentally
friendly. The nanocellulose aerogels can be readily tailored by surface
modifications or by incorporating nanoadditives. Therefore, they are
excellent materials for several applications such as catalysis and
selective collection of oil and chemical spills from the environment.[9−13]Porous structure including pore size distribution and pore
interconnectivity
has a critical role in the applications of aerogels, and therefore,
it is highly important to characterize it accurately and thoroughly.[12] There are, however, many problems related to
porous structure analysis by standard techniques. For example, scanning
electron microscopy provides typically only a 2D view of the surface
of the aerogel, and it is difficult to fully understand complex 3D
structures or even pore sizes from the planar pictures. Furthermore,
high compressive forces of mercury porosimetry may collapse the solid
framework of aerogels,[14] and nitrogen adsorption
technique may not be able to capture the whole range of pore sizes.[15]NMR spectroscopy is one of the most powerful
tools in chemical
analysis.[16] It provides versatile chemical,
dynamic, and spatial information. The radiofrequency radiation used
in the technique is nondestructive and can penetrate inside even optically
opaque materials. Therefore, NMR is an ideal method for investigating
dynamics and adsorption phenomena of fluids in porous materials.[17−22] Furthermore, the fluids may provide detailed information about porous
structures from nano- to millimeter scale. NMR cryoporometry is based
on the fact that the melting point of a liquid in a small pore is
lower than that of bulk liquid, and the melting point depression is
inversely proportional to the pore size.[23,24] The method relies on the same principle as thermoporosimetry,[25] but it differs in the detection. While the thermoporosimetry
utilizes differential scanning calorimeter (DSC), in the NMR cryoporometry
the amount of unfrozen liquid in the sample is measured using a spin
echo technique filtering out the signal of frozen liquid to determine
the melting point distribution, and the distribution is converted
into the pore size distribution using the Gibbs–Thomson equation.
A thorough comparison between two methods has been provided by Gane
et al.[26] The methods can be used to determine
pore sizes in the nanometer scale. NMR is also one of the rare methods
for measuring self-diffusion of molecules without tracers.[27] The walls of porous materials restrict the diffusion
of adsorbed fluids, and therefore the diffusion experiments provide
information about pore sizes in micrometer scale as well as pore connectivity.[28−31] Magnetic resonance imaging (MRI) technique, which also relies on
the NMR phenomenon, can in turn be used to characterize millimeter
scale pores.[32]NMR is also a useful
tool for characterization of aerogels. For
example, solid-state NMR has been exploited in the investigation of
chemical structures of aerogels.[33,34] Pore structures
of aerogels have been studied by MRI and diffusion measurements of
gases, such as methane as well as hyperpolarized xenon and helium,
adsorbed in aerogels.[35−40] Nanopore size distributions of silica aerogels have been studied
with NMR cryoporometry.[41,42]In this article,
we demonstrate that the combination of three different
advanced NMR techniques, namely NMR cryoporometry, diffusion NMR,
and T2 relaxation weighted MRI, can be
used for comprehensive determination of pore sizes of CNF aerogels
from nanometer to millimeter scale, as well as the tortuosity of the
pore network. The CNF aerogels were manufactured from waste cellulose
fibers (recycled milk container board). The manufacturing process
included a pretreatment based on a green deep eutectic solvent (DES)
and mechanical grinding to form a nanofiber hydrogel, followed by
freeze-drying and hydrophobic modification (silylation).[43] The resulting CNF aerogels have ultralow density
(down to 0.0029 g/cm3) and high porosity (up to 99.81%).[43] Furthermore, they own outstanding absorption
properties for several oils and organic solvents (absorption capacities
of up to 142.9 g/g)[43] and are considered
as superabsorbents. They are reusable; the absorbed liquids can be
recovered by mechanical squeezing, and high absorption capacity is
maintained at least for 30 cycles.[43]
Materials and Methods
Materials
Recycled milk container board (MCB) was used
as raw materials for fabrication of cellulose nanofibers. MCB was
pulped without any additional chemicals using a Kenwood KM020 pulper
(U.K.) at a consistency of 15% using temperature of 45 °C. Pulping
time was 10 min with rotor speed of 2 (i.e., ∼ 250 rpm). After
pulping MCB pulp was washed and screened using a Somerville apparatus
(Lorentzen & Wettre, Sweden).A deep eutectic solvent (DES)
was prepared by heating 1620 g of choline chloride and 1223 g of urea
in a 5 dm3 beaker at 100 °C until the mixture melted.
Next 25 g (abs) of MCB pulp (moisture content of ∼30%) was
dosed to the DES for 2 h at 100 °C. Then, the pulp was washed
with water using a Somerville apparatus (Lorentzen & Wettre, Sweden)
until clear rinsewater was obtained.Nanofibrillation of MCB
was performed using a Masuko supermasscolloider
grinder MKCA6–2J (Japan) to obtain cellulose nanofibers (CNF)
using negative gap values of −20, −40, −50, −70,
and −80 μm to obtain gel-like MCB CNF.Methyltrimethoxysilane
(MTMS) and hexadecyltrimethoxysilane (HDTMS)
in ethanol were used for cross-linking and hydrophobization of the
CNF. Freshly prepared MTMS and HDTMS solutions (20 wt %) were mixed
using a magnetic stirrer for 10 min. Then, 25 wt % of freshly prepared
silane solutions (MTMS and HDTMS, ratio of 50:50) against CNF amounts
were added by micropipette to the CNF suspensions and stirred with
a magnetic stirrer at room temperature for 2 h.Silylated MCB
CNF suspensions were placed directly into 10 mm NMR
sample tubes (5 cm height pillar) with various consistencies (i.e.,
0.3%, 0.5%, 0.75%, and 1.0%), frozen in liquid nitrogen, and freeze-dried
using Scanvac Coolsafe 55–15 Pro (Denmark) for 72 h to obtain
hydrophobized and cross-linked CNF aerogels for NMR-analysis. Similarly,
aerogel samples around 30 cm3 were prepared for the FESEM
analysis using 100 mL plastic beakers. The detailed characteristics
of the aerogels are presented in our previous work.[43]For the magnetic resonance analysis the samples were
immersed in
cyclohexane (purchased from Merck). The volume of the solvent was
chosen to cover whole sample. The NMR tube was then sealed with a
cap and which was tightened with Parafilm to avoid solvent evaporation
during experiment.
NMR
The experiments were performed by Bruker AVANCE
III spectrometer with the static field strength of 11.7 T and 1H resonance frequency of 500 MHz, using a 10 mm broad band
observe (BBO) probe.
NMR Cryoporometry
For the T2 relaxation and NMR cryoporometry analysis, a series of CMPG experiments
was performed over the temperature range of 239.7–287.4 K,
from low to high temperatures. From 239.70 to 266.2 K, the temperature
step was about 2 K, from 267.2 to 283.2 K, the step was about 1 K,
and from 285.2 to 287.4 K, the step was about 2 K. The experiment
series was set using modified TReNDS acquisition script.[44] After each temperature change system was let
to stabilize for 7.5 min. Then the probe was automatically tuned and
a CPMG experiment was acquired with 8 scans, 512 echoes, 1 ms echo
time, 30 s relaxation delay and experiment time of 4 min. The overall
heating rate was about 10 and 5 K/h for the steps of 2 and 1 K, respectively,
which are slow enough for keeping the sample well in thermal equilibrium.
We note that, although the air-filled aerogels are excellent thermal
insulators (as the immobilized air is a great thermal insulator),
the aerogel filled by cyclohexane is not, and thermal equilibrium
is reached relatively fast.According to the Gibbs–Thomson
equation,[45] the melting point depression
isHere, T0 and T are the melting points of bulk and confined liquids, respectively, K is a constant characteristic
of the liquid, and R is the pore radius. In the NMR cryoporometry analysis, the K of 190.1 K nm was used for
cyclohexane.[46]By assuming that the
intensity of NMR signal, I, is proportional to the
volume of the pores containing molten liquid
at a given temperature, the pore size distribution can be calculated
by the following equation:[24,47]The T2 relaxation
time distributions
were reconstructed from CPMG data using ITAMeD[48] in MATLAB. After the reconstruction, the region corresponding
to the liquid phase (T2 > 6 ms) was
integrated
for the NMR cryoporometry analysis. The effect of the temperature
dependence of the thermal polarization on the intensity was compensated
out according to the Curie law,[49] and the
NMR cryoporometry pore distributions were calculated using eq .
NMR Diffusometry
The apparent diffusion coefficients D were measured by pulsed gradient stimulated echo (PGSTE)
NMR. The diffusion times Δ used in the experiments were 50,
100, 200, 400, and 800 ms and the corresponding gradient pulse lengths
were 2, 2, 1.5, 1.06, and 0.75 ms. The experiments were performed
at temperature 285 K with 8 scans and 12 s relaxation delay. The gradient
strengths were linearly increased from 0.963 to 47.187 G/cm (total
32 values).The apparent diffusion coefficients were calculated
using ITAMeD program.[48] Surface to volume
ratios were determined by fitting the following equation to the initial
part of the D vs Δ data:[21]Here, S is the surface
of the pores, V is the volume of the pores, and D0 is
the diffusion coefficient of bulk liquid.The tortuosity, α,
was determined by fitting the following
equation to the whole D vs Δ data:[28]Here, c is defined asand θ is a scaling constant proportional
to the pore size. Further, the pore diameter was calculated using
the following equation introduced by Lawrence et al.:[24,28−30]The fittings were done by using Origin
2018b (S/V and tortuosity) and Microsoft
Excel 2018 for
the diameter.
MRI
MRI experiments were performed by the Bruker Avance
III 300 MHz spectrometer equipped with Micro2.5 microimaging unit
with x, y, and z gradients, using a 10 mm RF insert. The multi-slice multi-echo (MSME)
sequence was used in the experiments. The number of echoes was 16,
and the echo time was 20 ms. Altogether eight slices were measured
from each sample with 500 μm slice thickness and a field of
view of 1 cm. The image was acquired on the grid of 300 × 300
points, and the size of individual pixel was 33 μm. The image
was averaged 16 times with the repetition time of 48 s. The axial
images were acquired for all four samples, and for the 1% consistency
sample, an additional coronal image was acquired.After the
acquisition, the analysis was performed in MATLAB software. For each
pixel the T2 value was calculated. Then
all the pixels with T2 within the range
350–650 ms where assigned as macro-pores and selected for further
analysis. The selected pixels where grouped according to connections
with other pixels to separate shapes corresponding to single pore.
For each pore the ellipsis was fitted to determine the length, width
and angle of main axis. The analysis was possible by using MATLAB
functions “bwlabel” and “regionprops”
from Image processing toolbox. The pore diameter was defined to be
a mean of the longer and shorter axis of the ellipsis.
FESEM
A FEI Quanta 200 FEG ESEM was used for FESEM
analysis of the aerogels. The samples were Au-coated using a Quorum
Q150T ES (Quorum Technologies, Ashford, Kent, UK) sputter coater for
140 s with a current of 20 mA. A deposition rate of 20 nm/min is typically
achieved, however, the porosity and resulting high surface area of
the aerogel lead to a much thinner coating (<10 nm thickness on
average) throughout the sample. Samples were imaged with an Everhardt
Thornley detector (ETD) for secondary electrons at 10 kV in high vacuum.
The pore size analysis followed the MRI method. Each FESEM picture
was imported to MATLAB. The pixels were classified as part of a pore
if they had the intensity lower than 40% of the most intense pixel.
Then pixels were grouped and fitted with ellipsis identically to that
in MRI analysis
Optical Laser Microscopy
The CNF aerogel samples were
examined under a 3D Laser Scanning Confocal Microscope, VK-X200 by
Keyence Ltd. To acquire the high-resolution images, the aerogel samples
were prepared in circular Petri dishes (90 × 15 mm). Random,
representative, and macroscopically flat areas (1.4 × 1.06 mm)
were used to obtain the images. The photoreceptor detects the reflected
light at each pixel by dividing the planar field of view into 2048
× 1536 pixels to scan a layer of an image. The intensity of each
pixel at every position on the Z-axis was obtained
with a pitch of 0.1 μm by changing the position of the objective
lens. With the Z axis position of the highest intensity being the
focal point, the height information and the laser intensity were detected
through the aerogel to a depth where no pores could be longer detected.Such information provides three types of images: a deep field color
image, a laser intensity image, and a height map. The final maps were
created in the way that the latter two images were overlaid creating
a laser intensity image with height information encoded with color.
Results and Discussion
Four hydrophobic CNF aerogel
samples with the initial consistencies
(mass of cellulose in solvent before freeze-drying during manufacturing)
of 0.3%, 0.5%, 0.75%, and 1% were prepared for the NMR analysis. Reference
data was collected by field emission scanning electron microscopy
(FESEM) and laser microscopy.
Nanometer Scale Pores
These inside the solid matrix
of the CNF aerogel were investigated by NMR cryoporometry. Before
the analysis, the samples were submerged in cyclohexane in an NMR
tube at room temperature. No visible changes in the size and shape
of the samples after addition of solvent were observed. 1H CPMG temperature series of the adsorbed cyclohexane was performed
over the temperature range of 239.7–328.4 K. Figure A shows the T2 distributions resulting from the Laplace inversion[48] of the CPMG data of the aerogel sample with
a consistency of 0.3%. Above the melting point of bulk cyclohexane
(280 K), there is only a single component visible with T2 over 100 ms. Below the melting point, cyclohexane forms
cubic plastic crystal[50] with a long T2 (slightly below 5 and 1 ms at the higher and
lower temperatures, respectively) as compared to typical solids. Below
265 K, the distributions include another, minor component with T2 around 10 ms and intensity smaller than 10%
of the main component. That minor component was observed from all
the aerogel samples and a neat cyclohexane sample as well, and it
was tentatively assigned to arise from crystal defects of cyclohexane.[51]
Figure 1
(A) 1H T2 distributions
of cyclohexane adsorbed in the CNF aerogel with the consistency of
0.3% as the function of temperature. (B) Integrals of liquid cyclohexane
signals (T2 > 6 ms) of the CNF aerogels
with variable consistency (0.3–1%) as well as of the bulk cyclohexane
sample. (C) Nanopore size distribution derived from the integrals
using the Gibbs–Thomson equation. (D) Mean and median pore
sizes of the aerogels.
(A) 1H T2 distributions
of cyclohexane adsorbed in the CNF aerogel with the consistency of
0.3% as the function of temperature. (B) Integrals of liquid cyclohexane
signals (T2 > 6 ms) of the CNF aerogels
with variable consistency (0.3–1%) as well as of the bulk cyclohexane
sample. (C) Nanopore size distribution derived from the integrals
using the Gibbs–Thomson equation. (D) Mean and median pore
sizes of the aerogels.Figure B plots
the integral of the liquid component (T2 > 6 ms) with temperature for all the aerogel samples as well
as
for bulk cyclohexane. The aerogel samples show significantly higher
liquid intensities below 280 K than the bulk cyclohexane sample due
to the lowered melting point of cyclohexane in the nanopores of the
aerogels. The changes of the integrals revealed the melting point
distributions, which were converted into pore size distributions by
using the Gibbs–Thomson equation as explained in Materials and Methods. The distributions (see Figure C) include a dominant peak
around 0–200 nm, which was interpreted to arise from interfibrous
nanopores between the cross-linked cellulose nanofibers, as the size
range matches with the widths of the CNF observed by transmission
electron microscopy (TEM, 2–80 nm).[43] Previously, a notably smaller pore size of 8 nm with very narrow
size distribution obtained from Barrett–Joyner–Halenda
analysis of BET measurements was reported for the cellulose nanocrystal
(CNC) based aerogels.[52] However, these
CNCs had significantly smaller diameter of <10 nm compared to the
CNF used in the present work. The nanopore size distributions of CNF
aerogels were similar for all four samples, and the median and mean
pore sizes (Figure D) varied between 70 and 110 nm. It is likely that interfibrous voids
are more affected by cross-linking chemistry and colloidal forces
between the CNFs, and a small variation in CNF consistency has only
a minor effect on nanoporosity.
Micrometer Scale Pores
These are the dominant pores
in the CNF aerogels and were studied via diffusion of adsorbed cyclohexane.
The self-diffusion coefficients (D) were determined
by the pulsed-field-gradient stimulated-echo (PGSTE) sequence[53] including two magnetic field gradient pulses
separated by a diffusion delay Δ, and the results are shown
in Figure A. The observed
apparent D become shorter with increasing diffusion
time because the molecules experience more the restrictions caused
by pore walls, and the initial slope of D vs Δ
is proportional to the surface-to-volume ratio (S/V) of the material (see Materials
and Methods).[21] The S/V values derived from the initial slopes increases
with increasing sample consistency from 1.2 × 104 to
2.6 × 104 m–1 (see Figure B). The values were converted
into pore diameters by assuming a cylindrical pore geometry (see Figure C). Naturally, the
pore geometry of the CNF aerogels is very complex and irregular, but
based on FESEM pictures, the cylindrical model was the most appropriate
approximation. Opposite to nanopores, here a clear correlation between
pore size and consistency of aerogels was noted as the average pore
size decreased with increasing consistency from 4.9 to 2.5 μm.
Figure 2
(A) Apparent
diffusion coefficients of cyclohexane adsorbed in
CNF aerogels as a function of diffusion times. The solid lines show
the fits of eq to the
data. (B) Surface-to-volume ratios derived from the initial slope
of the D vs. Δ curves. (C) Pore diameters calculated
from the S/V values assuming a cylindrical pore geometry. (D) Tortuosities
of the pore networks resulting from the fits.
(A) Apparent
diffusion coefficients of cyclohexane adsorbed in
CNF aerogels as a function of diffusion times. The solid lines show
the fits of eq to the
data. (B) Surface-to-volume ratios derived from the initial slope
of the D vs. Δ curves. (C) Pore diameters calculated
from the S/V values assuming a cylindrical pore geometry. (D) Tortuosities
of the pore networks resulting from the fits.The tortuosity factor α is defined as a ratio
between the
diffusion coefficients corresponding to 0 and infinite diffusion delay
(D0 and D∞), and it was determined by fitting eq to the D vs Δ data (see Materials and Methods).[21] The tortuosity of the CNF aerogels was high (see Figure D) due to open and interconnected
structure of the porous networks. The tortuosity decreased from 0.95
to 0.92 when the consistency of the samples increased from 0.3% to
1%.For comparison, the micrometer scale pore structures were
investigated
by FESEM as well. The FESEM images of the CNF aerogel samples are
shown in parts A–D of Figure . The mean and median pore sizes resulting from the
automatized analysis of the FESEM images (see Materials
and Methods) are plotted in Figure E. Similar to diffusion NMR analysis, the
FESEM analysis shows the decreasing trend of the pore size with increasing
consistency. However, the pore size values given by FESEM (about 1-
3 μm) are slightly smaller than the values measured by NMR (about
2–5 μm) presumably because the diffusion NMR experiments
explore the real 3D pore space, while the FESEM analysis is based
on 2D projections.
Figure 3
(A–D) FESEM pictures of the aerogel samples with
the consistencies
of 0.3%, 0.5%, 0.75%, and 1%. (E) Mean and median pore diameters estimated
from the FESEM images. (F) Pore diameter distributions.
(A–D) FESEM pictures of the aerogel samples with
the consistencies
of 0.3%, 0.5%, 0.75%, and 1%. (E) Mean and median pore diameters estimated
from the FESEM images. (F) Pore diameter distributions.The micrometer scale pores of the aerogels are
attributed to hierarchical
ordering of nanofibers to larger aggregates due to cross-linking and
hydrogen bonding. These pores exist between and within the aggregated,
sheet-like areas as illustrated by FESEM images (Figure A–D).[43] In addition, the ice crystal formation during aerogel fabrication
creates assembled structures of the CNFs within the aerogel.[52] Decreasing trend of micropore size against aerogel
consistency is logical due to density increase of the aerogels (presented
in our previous work[43]) which decreases
the available open space. Overall, the NMR and FESEM analysis are
in good qualitative agreement and even quantitatively close to each
other, confirming the reliability of the NMR analysis.
Submillimeter Pores
The CNF aerogel samples included
also some larger pores with the pore size close to 1 mm, which existed
as few inhomogeneous patches between the large sheet-like aggregated
areas (Figure ). These
pores were investigated by high-resolution microscopic MRI. Figure A shows the spin-density
image (slice thickness 500 μm, resolution 33 μm) of cyclohexane
adsorbed in the CNF aerogel with the consistency of 1%. There are
significant differences in the amounts of adsorbed cyclohexane in
different parts of the sample due to the millimeter range heterogeneities
of the sample. Corresponding T2 map is
shown in Figure B.
The T2 maps were utilized to identify
the largest, submillimeter pores. T2 relaxation
time of bulk cyclohexane at room temperature was determined to be
420 ms. The values in the T2 maps in the
range of 350–650 ms were interpreted to arise from bulk like
cyclohexane in the large pores. Based on this criterion, the T2 maps were converted into submillimeter pore
maps (see Figure C),
and the size distributions as well as mean and median pore sizes were
calculated (Figure , parts E and F). The mean and median pore sizes were about 200 and
160 μm and quite similar for all the aerogel samples.
Figure 4
(A) Axial spin-density
MR image of cyclohexane in the CNF aerogel
of 1% consistency. (B) Corresponding T2 map. (C) Image of the submillimeter pores derived from the T2 map using the T2 = 500 ± 150 μs selection criterion. (D) Coronal plane T2 map of the same sample. (E) Distributions
of the submillimeter pore diameters in all the aerogel samples. (F)
Mean and median values of the pore diameters.
(A) Axial spin-density
MR image of cyclohexane in the CNF aerogel
of 1% consistency. (B) Corresponding T2 map. (C) Image of the submillimeter pores derived from the T2 map using the T2 = 500 ± 150 μs selection criterion. (D) Coronal plane T2 map of the same sample. (E) Distributions
of the submillimeter pore diameters in all the aerogel samples. (F)
Mean and median values of the pore diameters.For the comparison, the submillimeter pores were
also investigated
using a 3D laser scanning confocal microscope. In the laser microscopy
images shown in parts A–D of Figure , a clear transition from low to high consistency
of aerogels is seen, the reddish and blueish colors indicating higher
and lower depths, respectively. The bluish regions highlight the largest
pores, and the mean and median sizes of these submillimeter pores
were determined from the images (see Figure E). The values vary between 140 and 200 μm,
and they are in good agreement with the values given by the MRI analysis
(Figure F), which
supports its reliability. In the MRI analysis, the pore size distribution
was actually derived from eight slices measured from different heights
of the sample, resulting in the overall surface area of the analysis
of 50 mm2, while in the laser microscopy images the analyzed
are was only 1.5 mm2 to ensure sufficient resolution. Therefore,
in this regard, the MRI analysis was statistically more comprehensive,
and the small deviations between the MRI and laser microscopy values
are addressed to the low coverage of the laser microscopy analysis.
Figure 5
(A−D)
Superimposed laser microscopy image and height map
of the CNF aerogels with consistencies of 0.3%, 0.5%, 0.75%, and 1%,
respectively. Red and blue colors correspond to high and low levels,
and the large continuous blue regions represent the submillimeter
pores. (E) Mean and median pore diameters derived from the laser microscopy
images.
(A−D)
Superimposed laser microscopy image and height map
of the CNF aerogels with consistencies of 0.3%, 0.5%, 0.75%, and 1%,
respectively. Red and blue colors correspond to high and low levels,
and the large continuous blue regions represent the submillimeter
pores. (E) Mean and median pore diameters derived from the laser microscopy
images.
Overall Porous Structure
The results of the mean pore
sizes measured by different methods are summarized in Figures and 7. The complex and hierarchical 3D structure of aerogels is reflected
as trimodal pore size distribution and can be provided by the combination
of three different independent NMR techniques, namely NMR cryoporometry,
diffusion NMR, and T2 relaxation weighted
MRI. The interfibrous small voids between the cross-linked nanofibers
are illustrated as nanometer size pores, the size of which is relative
independent of aerogel density. The larger micrometer and submillimeter
pores are attributed to patches between the aggregated nanofibers,
and the size of micrometer pores clearly decrease as a function of
aerogel density, while the few submillimeter voids have a relatively
constant size. The comparison of results from microscopic visualization
with NMR based techniques show good similarity and indicates good
reliability of the obtained results.
Figure 6
Summary of mean pore diameters determined
by different methods.
Figure 7
Pore size distributions combined from all NMR methods.
The intensity
of each method is normalized separately. The micrometer scale pores
were visualized by assuming a Gaussian pore size distribution with
the mean and standard deviation corresponding to the mean pore diameter
and statistical error measured by diffusion NMR, respectively.
Summary of mean pore diameters determined
by different methods.Pore size distributions combined from all NMR methods.
The intensity
of each method is normalized separately. The micrometer scale pores
were visualized by assuming a Gaussian pore size distribution with
the mean and standard deviation corresponding to the mean pore diameter
and statistical error measured by diffusion NMR, respectively.The interaction between the aerogel material and
cyclohexane solvent
during the adsorption process may change the structure of the material,
and therefore, the NMR analysis may not represent precisely the structure
of intact, dry aerogel. However, the changes are expected to be minor,
because we did not observe visually any changes in the dimensions
of the aerogel piece during the adsorption process. On the other hand,
NMR provides the information about the material structure in the conditions
for which it was designed, which can be considered to be a strength
of the method. As discussed earlier, the CNF aerogel is an organic
specific superabsorbent, and therefore, it is highly important to
know its structure during the interaction between the solvent and
material.
Conclusions
We have proved that combination of a set
of advanced NMR techniques
can be used for comprehensive analysis of porous networks of novel,
environmentally friendly, recyclable, superabsorbing CNF aerogels.
NMR cryoporometry provided information about the size distribution
of nanometer scale pores in between the cross-linked cellulose nanofibers.
The observed pore sizes (0–200 nm) were similar to the widths
of the nanofibers and did not vary much with the consistency of the
samples. Diffusion NMR experiments revealed the mean pore diameters
of the dominant, micrometer pores as well as the tortuosity of the
pore network. The mean pore diameter decreased from 4.9 to 2.5 μm
when the consistency of the sample increased from 0.3% to 1%. The
observed tortuosity was very high due to the open structure of the
pore network, and it decreased from 0.95 to 0.92 with increasing consistency.
Relaxation filtered MRI showed that the sample included also some
larger submillimeter pores with the pore size of about 200 μm.
FESEM and laser microscopy confirmed the reliability of the NMR analysis.
The NMR toolbox introduced in this article can be broadly applied
in the analysis of the pore networks in various aerogels and other
porous media including very heterogeneous pore structures.
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