Jingfang
Yu
a,
Chunping
Chen
a,
James B.
Gilchrist
b,
Jean-Charles
Buffet
a,
Zhonghua
Wu
c,
Guang
Mo
c,
Fei
Xie
c and
Dermot
O'Hare
*a
aChemistry Research Laboratory, Department of Chemistry, University of Oxford, 12 Mansfield Road, Oxford, OX1 3TA, UK. E-mail: dermot.ohare@chem.ox.ac.uk; Tel: +44 (0)1865 272686
beBIC, Diamond Light Source, Oxfordshire, OX11 0DE, UK
cBeijing Synchrotron Radiation Facility, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, 100049, P. R. China
First published on 6th September 2021
Whilst applying a coating layer to a polymer film is a routine approach to enhance the gas barrier properties of the film, it is counter-intuitive to consider that the gas barrier performance of the film would improve by ageing the coating dispersion for weeks before application. Herein, we report that the oxygen barrier performance of a 12 μm PET film coated with a dispersion of inorganic nanosheets in polyvinyl alcohol can be significantly enhanced by ageing this coating dispersion for up to 8 weeks before application. We found up to a 37-fold decrease in the oxygen transmission rate (OTR) of the PET coated film using aged dispersions of [Mg0.66Al0.33(OH)2](NO3)0.33 layered double hydroxide nanosheets (Mg2Al-LDH NS) in polyvinyl alcohol (PVA) compared to the film coated with an equivalent freshly prepared LDH/PVA dispersion. A limiting OTR value of 0.31 cc m−2 day−1 was achieved using the PET film coated with a 3 week aged LDH NS/PVA dispersion. X-ray diffraction experiments show that the degree of in plane alignment of LDH NS on the PET film surface increased significantly from 70.6 ± 0.6 to 86.7 ± 0.6 (%) (100% represents complete alignment of LDH NS platelets on the film surface) for the 4 week aged dispersion compared to the freshly prepared layer. We postulate that when the Mg2Al-LDH NS are aged in PVA the coiled PVA aggregates start to unwrap and attach onto the Mg2Al-LDH NS through hydrogen bonding and eventually form a hydrogen bonded ordered network that facilitates the alignment of nanosheet dispersions during the coating process. Our results suggest that the ageing of inorganic nanosheet dispersions in PVA or other potential hydrogen bonding adhesive systems could be a general approach to improve the alignment of the nanosheets on the polymer film surface once applied and thus improve their performance characteristics for barrier coating applications.
New conceptsOur work describes the first demonstration that application of an aged dispersion of inorganic nanoplatelets in an adhesive to a polymer film significantly increases the oxygen barrier performance. We discovered that upon ageing a dispersion of layered double hydroxide nanosheets (LDH NS) and polyvinyl alcohol (PVA) in water, a weakly hydrogen bonded network connecting the LDH particles with the PVA chains formed. This network facilitates the alignment of LDH NS on the surface of the polymer film during the coating process. The oxygen transmission rate of a coated PET film exhibited a 37-fold decrease using an 8 week aged LDH/PVA dispersion compared to the film coated with an equivalent freshly prepared LDH/PVA dispersion. We observe an improved degree of in-plane alignment of LDH NS on the PET substrate surface. We suggest that ageing of inorganic nanosheet dispersions in PVA or other potential hydrogen bonding adhesive systems could be a general approach to improve the barrier performance of coated polymeric films. |
Gas barrier coated film is a common packaging material used to protect moisture or gas-sensitive products such as electronics, foods, and medical supplies from deterioration. Aluminium (metallised) film is the current industry standard to achieve a high gas barrier packaging material. However, due to difficulties in recycling and pollution, recyclable and eventually biodegradable gas barrier packaging materials that meet future requirements must be developed. For example, the flexible electronics industry requires a water vapour transmission rate13 at the order of 10–3 to 10−6 g m−2 day−1 and the food industry requires an oxygen transmission rate at the order of 10−1 cc m−2 day−1. A well-recognised approach to improve the gas barrier properties of a polymeric film is to introduce a longer gas diffusion pathway, namely a tortuous pathway,14,15 by aligning inorganic nanosheets. Previous studies have shown that inorganic platelet samples such as MMT,15,16 LAPONITE®,17 graphene oxide18,19 as well as layered double hydroxides (LDH)20,21 can significantly enhance oxygen barrier performance once aligned in a polymeric film surface. Much effort has been invested into both the design of an efficient alignment method such as the layer-by-layer method22,23 or tailoring the aspect ratio of the impervious inorganic filler.16,22 However, hydrogen bonding has rarely been recognised as a credible approach to improve the alignment of nanosheets on a polymer film substrate.
Herein, we report that the oxygen barrier performance of polyethylene terephthalate (PET) films can be significantly enhanced by applying a coating layer comprised of an aqueous dispersion of layered double hydroxide nanosheets ([Mg0.66Al0.33(OH)2](NO3)0.33; Mg2Al-LDH NS) and polyvinyl alcohol (PVA) that has been aged for 5–6 weeks. In fact, the oxygen transmission rate (OTR) of a 12 μm PET film coated with a layer consisting of PVA (Mw of 67000 g mol−1) and the Mg2Al-LDH NS decreases as the ageing time of the aqueous Mg2Al-LDH NS/PVA dispersion increased (Scheme 1). Remarkably, the OTR (tested at 0% RH and 23 °C) of the coated PET film displayed a ca. 60-fold decrease by simply ageing the coating dispersion for 6 weeks. Structural characterisation of a freshly coated film compared to one prepared with the same coating 4 weeks later showed that the degree of in-plane alignment of LDH NS on the coating layer increased significantly from 70.6 ± 0.6 to 86.7 ± 0.6 (%), which according to conventional torturous path theory will directly contribute to the gas barrier enhancement. IR experiments suggest that hydrogen bonding interactions form between the hydroxyl groups of the PVA and surface formamide groups (–COOH and –NH2 groups) on the Mg2Al-LDH platelets when the coating dispersion is aged. We postulate that when the Mg2Al-LDH NS are aged in PVA the coiled PVA aggregates start to unwrap and attach to the Mg2Al-LDH NS through hydrogen bonding (phase II) and eventually form a hydrogen bonded network (phase III) that facilitates the alignment of nanosheet dispersions during the coating process (Scheme 1). We have also observed the same ageing effect in glycine containing LDH NS and in other inorganic nanosheet dispersions such as bentonite dispersed in PVA. Our results indicate that the formation of a hydrogen bonded network by ageing the coating dispersion could be a general strategy to enhance the gas barrier performance of inorganic nanosheets dispersed on a polymer film.
A 12 μm PET substrate film was coated using a bar coating method21 where a coating rod giving a 6 μm wet coating layer thickness was used to coat all the films discussed in this paper. The dried coated films are transparent and their transparency is similar to the uncoated PET substrate (Fig. 2a). We have measured the transmittance of film samples coated with 0.6L1.6P and 6L4P dispersion samples (Fig. S2, ESI†). The transmittance of PET films coated with a freshly prepared 6L4P dispersion is 85.7%. The transmittance of the coated PET film stayed similar at 85.7% when the same 6L4P coating dispersion was aged for 1 week before application. The transmittance of the coated PET film increased to 86.0 and 86.8% when the same 6L4P coating dispersion was aged for 2 and 3 weeks, respectively, before coating onto the PET substrate. Similarly, the transmittance of the PET film coated with a freshly prepared 0.6L1.6P dispersion is 80.3%. The transmittance of the coated PET film increased to 81.3 and 83.5% when the same 0.6L1.6P coating dispersion was aged for 2 and 6 weeks, respectively, before coating onto the PET substrate. AFM experiments were performed (Fig. S3, ESI†) to measure the thickness of the coating layers: 89 ± 18, 122 ± 37, and 272 ± 56 nm for the freshly coated 0.6L1.6P, 1.6L0.6P, and 6L4P films, respectively (Fig. 2b). A 12 μm PET substrate film was intentionally coated four times with a freshly prepared 1.6L0.6P LDH/PVA dispersion to show the cross-sectional area (the thickness of the four-time coated film corresponds roughly to four times the thickness of the one-time coated film measured using AFM). The cross-sectional SEM images and EDX mapping (Fig. 2c) confirm the presence of Mg and Al in the 1.6L0.6P film. The cross-sectional TEM (Fig. 2d) images reveal that the LDH nanosheets are aligned in the coating layer to provide a tortuous pathway.
We further studied the effect of temperature on the ageing of the coating dispersion. Two coating dispersions containing the same composition of 0.6 wt% LDH NS mixed with 1.6 wt% PVA (0.6L1.6P) were prepared but aged under different conditions. One was stirred and heated at 40 °C for a week before ageing at room temperature and the other was aged at room temperature continuously. The OTR of the PET substrate film coated with the freshly prepared 0.6L1.6P dispersion (aged at 40 °C for a week before ageing at room temperature) (Fig. 3c in blue) is 27.60 cc m−2 day−1. When coating the PET substrate with a 3-day-old 0.6L1.6P solution aged at 40 °C, the OTR of the coated film was found to decrease to 8.96 cc m−2 day−1. The OTR of the coated film further decreased to 3.36 cc m−2 day−1 when the same 0.6L1.6P dispersion was aged at 40 °C for 1 week. The OTR values of coated PET were 4.38 and 3.74 cc m−2 day−1 when the 0.6L1.6P dispersion was cooled down to room temperature and then aged for another 2 to 3 weeks (the 3rd and 4th week), respectively. This may be attributed to changes in the PVA associated with temperature fluctuations26,27 and a less uniform dispersion as the continuous stirring was stopped. The OTR values of PET coated with an 0.6L1.6P dispersion aged for an additional 5 and 7 weeks (6 and 8 weeks in total) at room temperature were 2.33, and 0.74 cc m−2 day−1, respectively. This represents a 37-fold enhancement in the oxygen barrier (decrease in OTR) by simply allowing the coating dispersion to age before application.
Similarly, the O2 transmission rate of the film coated with the 0.6L1.6P dispersion aged continuously at room temperature (Fig. 3c in dark cyan) decreased rapidly when the dispersion was aged compared with the OTR value of the freshly coated film (29.75 cc m−2 day−1). For example, the OTR of the coated film is 17.70 and 15.55 cc m−2 day−1 when the 0.6L1.6P dispersion is aged for 3 days and a week at room temperature, respectively (Fig. 3c in dark cyan). The OTR of the coated film decreased to 8.72 and 7.60 cc m−2 day−1 when the 0.6L1.6P dispersion is further aged at room temperature for 3 to 4 weeks, respectively. The OTR of the coated film further decreased to 4.09 cc m−2 day−1 at the 6th week of ageing and then increased to 4.19cc m−2 day−1 when the dispersion is aged for 8 weeks. This represents only ca. 7-fold decrease in OTR, which is in sharp contrast with the 37-fold decrease in OTR observed in the dispersion containing the same composition of LDH and PVA (0.6L1.6P) but aged under different conditions (aged at 40 °C under stirring for a week before ageing at room temperature), indicating that raising the ageing temperature to 40 °C whilst stirring has a significant effect on the ultimate oxygen barrier performance of the coated PET films. It might be that when the Mg2Al-LDH NS are aged in PVA at a higher temperature under stirring, the unwrapping of coiled PVA aggregates and the mixing of LDH and PVA are facilitated, which together leads to a rapidly growing hydrogen bonded network that promotes the alignment of nanosheet dispersions during the coating process (Scheme 1).
The effect of ageing the aqueous dispersion of the pure Mg2Al-LDH NS on the oxygen barrier was also investigated. The Mg2Al-LDH NS were aged in water for 7 weeks before being mixed with PVA to prepare a coating dispersion containing 1.6 wt% LDH and 0.6 wt% PVA [1.6L(Aged)0.6P]. The freshly coated PET film exhibited an OTR of 50.7 cc m−2 day−1 (Fig. S6, ESI†), much higher than that of the PET film freshly coated with the 1.6L0.6P without ageing the Mg2Al-LDH NS (Fig. 3c). Upon ageing the 1.6L(Aged)0.6P dispersion for 1 week, the OTR of the coated film decreases to 7.72 cc m−2 day−1, whereas on extending the ageing time to 2 weeks, the OTR of the coated film slightly increases to 12.4 cc m−2 day−1. The OTR of the coated film stabilises with a small increase to 13.25 cc m−2 day−1 (within error) when the coating dispersion is aged for 5 weeks. To explain this phenomenon, AFM measurements were carried out to monitor the aspect ratio (Fig. S7a, ESI†) of the LDH NS aqueous dispersion aged (10 wt% solid content) for 6.5 (Fig. S8a, ESI†), 8.5 (Fig. S9a, ESI†), and 9.5 months (Fig. S10a, ESI†), respectively. The mean diameter (Fig. S7b, ESI†) as well as the mean thickness (Fig. S7c, ESI†) of the LDH NS sample increased as the LDH NS sample is aged in water. For example, the mean diameter of the freshly prepared LDH NS sample was 208 ± 52 nm and the value increased to 285 ± 92 nm after 6.5 months of ageing (Fig. S8b, ESI†) further increasing to 281 ± 105 and 339 ± 53 nm for 8.5 (Fig. S9b, ESI†) and 9.5 months (Fig. S10b, ESI†), respectively. Similarly, the mean thickness of the LDH NS sample increased from 1.9 ± 0.9 to 12.8 ± 5.0 nm after being aged in water for 6.5 months (Fig. S8c, ESI†) and stabilised at 12.6 ± 3.2 nm after being aged for 8.5 months (Fig. S9c, ESI†). The mean thickness further increased to 17.6 ± 3.1 nm after the LDH NS was aged in water for 9.5 months (Fig. S10c, ESI†). As a result, the mean aspect ratio (Fig. S1d, ESI†) of the freshly prepared LDH NS sample decreased with ageing time due to the rapid increase of the mean thickness. The mean aspect ratio decreased from 118 ± 52 to 24 ± 11 when the sample was aged for 6.5 months (Fig. S8d, ESI†). The mean aspect ratio further decreased to 22 ± 7 and 20 ± 5 when the ageing time was 8.5 (Fig. S9d, ESI†) and 9.5 months (Fig. S10d, ESI†), respectively. Previous results14,15,22 have concluded that the relative permeability of a polymeric composite decreases as the mean aspect ratio of a platelet-like sample increases. The OTR of the PET film coated with 1.6L(aged)0.6P increased significantly compared with that of the OTR of the film coated with 1.6L0.6P (without ageing the LDH NS), due to the aspect ratio decrease after ageing the LDH NS sample in water. This indicates that the positive processes of ageing the Mg2Al-LDH NS in the presence of PVA are connected with the ageing of the Mg2Al-LDH NS in water. We believe that ageing the Mg2Al-LDH NS in PVA allows additional short-range ordering to develop through hydrogen bonding interactions between the Mg2Al-LDH NS and the PVA.
We measured the aspect ratio of the LDHs in the 5 week aged 0.6L1.6P coating dispersion to confirm the growth trend. The AFM measurements of individual LDH particles (Fig. S11a, ESI†) show that the mean aspect ratio of the LDH particles from 5 week aged 0.6L1.6P coating dispersion is ca. 62 ± 33 (Fig. S11b, ESI†), lower than that of the LDH particles (118 ± 52) from the freshly prepared sample. This is a result of the growth of the LDH in the PVA aqueous solution both in the ab-plane and c-directions. The mean thickness of the LDH particles aged in the 0.6L1.6P coating for 5 weeks is ca. 4.3 ± 1.8 nm (Fig. S11c, ESI†), which is ca. 2.3-fold thicker than the freshly prepared LDH sample. Meanwhile, the mean diameter of the 5 week aged LDH particles in the 0.6L1.6P coating dispersion is ca. 218 ± 46 nm (Fig. S11d, ESI†), only slightly larger than the freshly prepared LDH sample of ca. 208 ± 52 nm. It is obvious that upon ageing, the LDH thickness growth is faster than the growth in diameter giving a smaller aspect ratio.
We have observed a similar ageing effect when using the Mg2Al-LDH NS that were obtained by exfoliation using a calcination and reconstruction in glycine solution method as our previously reported.22 The glycine reconstructed Mg2Al-LDH NS [L(Gly)] were mixed with PVA to prepare a coating dispersion containing 3 wt% L(Gly) and 2 wt% PVA [3L(Gly)2P]. The OTR of the PET substrate freshly coated22 with the 3L(Gly)2P is 1.9 cc m−2 day−1. The OTR of the PET substrate (Fig. S12a, ESI†) decreased to 0.4 cc m−2 day−1 when the coating dispersion was aged for 6 days (6D). The OTR value further decreased to 0.1 cc m−2 day−1 when the ageing time reached 6 weeks (6WK). A coating dispersion containing 0.6 wt% bentonite and 1.6 wt% PVA (0.6Bentonite1.6P) was also prepared. The OTR value of a 12 μm PET film freshly coated with a 0.6Bentonite1.6P dispersion was 36.6 cc m−2 day−1 (Fig. S12b, ESI†). The OTR value was rather stable at 38.5, 32, and 33.6 cc m−2 day−1 when the 0.6Bentonite1.6P dispersion was aged for 3 days (3D), one week, and two weeks, respectively. Upon further ageing, the OTR value of the coated film decreased to 26.0, 21.0, and 18.2 cc m−2 day−1 when the ageing time was 3, 4 and 6 weeks, respectively. These results suggest that the effects of ageing inorganic nanosheets in a PVA dispersion should now be studied more generally.
The aged Mg2Al-LDH NS/PVA dispersion was also studied using AFM (Fig. S13, ESI†). For both the formamide (Fig. S13a and b, ESI†) and glycine (Fig. S13c and d, ESI†) exfoliated Mg2Al-LDH NS samples the PVA polymer particles typically adopt rod or circular-like shapes with no sharp edges and attach to the Mg2Al-LDH NS surface. The TEM images (Fig. S14, ESI†) of the formamide (Fig. S14a, ESI†) and glycine exfoliated (Fig. S14b, ESI†) LDH NS and PVA dispersions clearly show PVA chains attached to the Mg2Al-LDH NS surface. The Mg2Al-LDH platelets grow both in diameter and in thickness while dispersed in water, which is a result of particle agglomeration and Ostwald ripening.28,29 The PVA polymer chains may act as particle growth inhibitors attaching to the surface of an LDH platelet. Thus, in a mixed Mg2Al-LDH NS/PVA dispersion, the aspect ratio of the Mg2Al-LDH NS is stable.
We further tested the oxygen transmission rate of the barrier films at 38 °C and under 50% relative humidity (Fig. S15, ESI†). The uncoated 12 μm PET substrate and freshly prepared 2.2 wt% PVA coated PET substrate film show OTR values of 198.5 and 75.8 cc m−2 day−1, respectively which are both higher than the same films tested at room temperature and zero relative humidity. It is a known phenomenon30 that gas permeability is usually higher when tested at a higher temperature and under a higher relative humidity. The 8 week aged 0.6L1.6P dispersion (aged at 40 °C for a week before ageing at room temperature) coated PET film has an OTR value of 3.49 cc m−2 day−1, which still shows a good barrier under humidity.
PVA adsorbed on the Mg2Al-LDH nanosheet surface forming a cross-linked structure essentially increases the effective volume fraction of the LDH particles with time. PVA can dissolve in water at an elevated temperature to form hydrogen bonding between the hydroxyl groups of the polymer chains and water molecules as well as the hydroxyl groups from the LDH surface and the functional groups on formamide molecules. PVA aqueous solutions are metastable and their property changes with ageing time. These are due to the formation of supramolecular particles of crystalline features that have been recognised as the ageing effect.35,36 Thus, LDH particles are easier to align as ageing time increases under shear stress, which is probably related to the increased effective volume fraction.37
We further characterised the viscosity of the four coating dispersion samples using rheometer. First, we measured the viscosity of two coating dispersion samples containing the same LDH and PVA weight ratio and solid content (0.6L1.6P) but aged under different conditions: one aged at 40 °C for a week then aged at room temperature (Fig. S20a, ESI†) and the other aged at room temperature continuously (Fig. S20b, ESI†). We observed that with time, the aged dispersion showed either a slightly higher viscosity (Fig. S20a, ESI†) at the 9th week of ageing, or a similar viscosity compared with the freshly prepared dispersion (Fig. S20b, ESI†). Moreover, regardless of the ageing conditions, all of the aged dispersions showed shear thinning behaviour very similar to the freshly prepared dispersion indicating that the gel did not form in the dispersion with 9 weeks of ageing time. Similarly, we measured the viscosities of two 1.6L0.6P coating dispersions: one aged at 40 °C for a week before ageing at room temperature (Fig. S20c, ESI†) and the other aged at room temperature continuously (Fig. S20d, ESI†). Again, regardless of the ageing conditions, all of the aged dispersions showed shear thinning behaviour and a viscosity very similar to the freshly prepared dispersion.
The surface roughness of the PET films coated with freshly prepared, 2 day, and 4 week aged 1.6L0.6P Mg2Al-LDH NS/PVA dispersions were also analysed using AFM. Representative AFM images show that the surface roughness of the coated film decreased when the ageing time of the coating dispersion increased. The root mean square (Rq) surface roughness of the freshly coated PET substrate is 82.8 nm and the height range (Rz) of the film surface is ca. 577.0 nm (Fig. S21a and b, ESI†). The Rq and Rz of the PET substrate decreased to 76.2 and 528.6 nm when the film was coated after 2 days of ageing the dispersion (Fig. S21c and b, ESI†) and the values further decreased to 31.8 and 257.2 nm when the ageing time was increased to 4 weeks (Fig. S21e and f, ESI†). The results show that using an aged coating dispersion produces a significantly smoother coating on the film, which is probably due to a more uniform dispersion and alignment of the Mg2Al-LDH NS in the PVA matrix.
Due to the large coating layer thickness difference, it is necessary to calculate the oxygen relative permeability of the barrier film using the permeability of a pure PVA coating film with the same coating layer thickness as the barrier film. We predicted the permeability of the pure PVA coating layer using a linear regression method. The OTR values of the PET film coated with a dispersion of pure 2.2 wt% PVA with coating layer thicknesses of 43 (6 μm rod) and 210 nm (24 μm rod) (Fig. S24, ESI†) are 31.5 and 19.25 cc m−2 day−1, respectively (Table S2, ESI†). The OTR value of a PVA coated film with a coating layer thickness of 890 nm previously reported by our group22 was also used to do the regression (Fig. S25, ESI†). The predicted permeability values of pure PVA coating layers with thicknesses of 435, 323, and 332 nm are 0.126, 0.100, and 0.102, respectively (Table S2, ESI†). Thus, the calculated relative permeability of the barrier coating layer is 0.2626 ± 0.0346, 0.0496 ± 0.0052, and 0.0102 ± 0.0026 for the PET films coated with the freshly prepared, 4 and 8 week aged 0.6L1.6P coating dispersions, respectively (Table S2, ESI†).
We used a 2D XRD technique to measure the order parameter (S)41,42 within the aged film samples (Fig. 5d). The intensity profiles were subtracted to allow a more accurate comparison between the samples. The order parameter is 0.281, 0.353, and 0.355 for the fresh, 4 week, and 8 week aged films, respectively. This result indicates that the LDH alignment in the coating layer improves when the substrate PET film is coated with an aged dispersion.
To better understand the ageing mechanism, we modified three established models40,43,44 that predict the relative permeability of nanoparticle filled polymer composite films with different assumed platelet size distributions and array types. We focused on the models based on particles with platelet morphology. The particle size distribution and array type of the models are briefly described in (Table S3, ESI†). The three models were further modified using the Dil45 modification factor, , to add order parameters to the equation (Table S3, ESI†). The Dil model is a modification based on the Bharadwaj model39 that improves the prediction precision of empirical models used here. Fig. 5e shows the plot of the relative permeability as a function of particle aspect ratio and S. The aspect ratio ranges of 118 ± 66 and 62 ± 33 were used to plot the relative permeability of the fresh, and 4 and 8 week samples, respectively. The measured relative permeability of the fresh sample deviated from all the predicted values, which might be due to aggregation of the LDH particles (insufficient mixing). Aggregation of nanoparticles is known46 to significantly decrease the effective aspect ratio in composite films, thus the barrier layer shows a higher relative permeability than the prediction. Interestingly, the relative permeabilities of the 4 and 8 week samples fit the prediction by the Cussler random43 and Gusev–Lusti44 models. The results agree with the AFM measurements that the LDH aspect ratio has a relatively wide distribution and indicate that the LDH particles formed randomly spaced arrays in the coating layers.
We set the volume fraction as 0.346 and used the measured relative permeability and S of the fresh, 4 week, and 8 week samples to calculate the aspect ratios predicted by the different models (Table S4, ESI†). These aspect ratio values range from 25 ± 3 to 145 ± 15, which are within the range observed using AFM measurements (Fig. S1 and S11, ESI†). The classic Nielsen model (Bharadwaj model is derived from this model) describes the relative permeability of composite systems filled with ribbon-like particles (mono-size distribution) of regularly spaced arrays in the polymer matrix. Previous studies47 have shown that the Nielsen model best describes systems of filler concentration in the dilute regime (typically <10 vol%), which is not the situation in our system. The Cussler random43 model attempts to address systems with mono-sized disks also in the dilute concentration regime that formed randomly spaced arrays in the polymer matrix. This model is able to predict the aspect ratio for the 4 and 8 week aged coated films, and the predicted values are within the experimentally observed ranges, but is unable to predict the aspect ratio of the fresh sample probably due to poor LDH dispersion in the fresh sample. The Gusev–Lusti44 model considers random arrays of disks with poly-size distribution. Thus, it has shown that the aspect ratio values predicted by the Gusev–Lusti model for all the samples fall in the experimentally observed range indicating that, similar to previous observations,47 the finite element modelling approach best fits systems containing a distribution of particles sizes. Thus, the phenomena that the oxygen transmission rate of the coating film prepared using an aged coating dispersion decreased significantly compared to a film prepared from a freshly prepared dispersion is a combined effect of improved hydrogen bonding between LDH and PVA and improved LDH particle alignment within the coating layer.
The same ageing effect was observed in LDH NS prepared using another exfoliation agent and with a bentonite and PVA coating dispersion, suggesting this could be a general approach to improve the barrier properties of a coated substrate.
Footnote |
† Electronic supplementary information (ESI) available. See DOI: 10.1039/d1mh00433f |
This journal is © The Royal Society of Chemistry 2021 |