The present invention relates to a method for the production of a carbon nanotube structure which has substantially aligned carbon nanotubes (CNTs) and to a temperature-controlled flow-through reactor.
There is increasing demand for lightweight materials with high strength and stiffness, especially when combined with high electrical and thermal conductivity. Products formed from aggregates of CNTs have been manufactured but their properties fall short of their theoretical capabilities. A major reason for this shortfall is imperfect alignment of the molecular scale CNTs within the macroscale fibres produced by their aggregation.
CNTs are molecular-scale structures comprising sheets of carbon atoms linked by covalent bonds and formed into closed tubes. The wall of a CNT may consist of a single layer (a single-walled CNT (SWCNT)) or multiple layers (a multi-walled CNT (MWCNT)). Individual CNTs have diameters typically between 0.4 nm and 40 nm and lengths typically more than 100 times their diameter.
To form CNTs into structures such as fibres or mats for macroscale applications it is necessary to create an aggregation of large numbers of CNTs. When brought into close proximity, CNTs are attracted to each other by van der Waals forces and other atomic and molecular-level interactions. A method for the formation of multiple long fine strands each comprising very large numbers of CNTs is known as floating catalyst chemical vapour deposition (FCCVD). In this method a carbon-rich feedstock (for example methane or acetylene), together with catalytic precursors containing iron and sulphur (such as ferrocene and thiophene respectively) are introduced into a ceramic tube and raised to a very high temperature (typically exceeding 1000° C.). Following decomposition, the carbon atoms provided by the precursor form an aerogel which can be extracted from the ceramic tube to form a fibre or mat. FCCVD and an arrangement of equipment is disclosed in EP-A-3227231. In practice, it is found that the alignment of the CNTs forming the aerogel is poor. This results in the mechanical, electrical and thermal properties of the fibres falling far short of the values that could be obtained from bundles of well-aligned CNTs.
The essential elements of a conventional FCCVD temperature-controlled flow-through reactor are shown schematically in
Methods for the production of short well-aligned CNT fibres are known but are unsuitable for continuous production of long fibres. The use of electric fields has been reported (for example in CN-A-101254914) but in many instances these have been applied to very small-scale CNTs. Typical conventional arrangements comprise nano-scale channels or closely-spaced plates, each having a potential difference of a few volts applied across them. For example Chen et al, “Aligning single-wall carbon nanotubes with an alternating-current electric field”, Applied Physics Letters, Volume 78, No 23, June 2001 describes an arrangement of interdigitated electrodes spaced by approximately 25 μm and having an applied alternating voltage of 10 V peak-to-peak. Most investigators have described arrangements in which electric fields are applied to CNTs suspended in a liquid medium. While such arrangements cause CNTs to align, their motion in a liquid is slow and the field strengths that can be applied are limited by the properties of the liquid. Some investigators have applied alternating electric fields (see for example Liu et al, “Electric-field oriented carbon nanotubes in different dielectric solvents”, Current Applied Physics, Vol 4 (2004), pp 125-128). A method of alignment of CNT bundles growing orthogonal to the surface on which they formed is described by C Bower et al, “Plasma-induced alignment of carbon nanotubes”, Applied Physics Letters, Vol. 77 No 6, August 2000. Bower reported that in the presence of a field generated in a microwave plasma, nanotubes can be grown on contoured surfaces and aligned in a direction always perpendicular to the local substrate surface. This growth is analogous to a grass lawn with many closely-spaced fibres around 50 um long growing orthogonal to the surface on which they form. M. T. Cole and W. L. Milne, “Plasma Enhanced Chemical Vapour Deposition of Horizontally Aligned Carbon Nanotubes”, Materials, 2013, Volume 6, pp 2262-2273 also describe an arrangement employing a plasma to produce short aligned CNTs and observe that field strengths of the order of between 0.1 and 0.5 μV/m are required.
There has also been reported the growth of short aligned CNTs between a pair of plates across which a potential was applied (see for example Y. Avigal and R. Kalish, “Growth of aligned carbon nanotubes by biasing during growth”, Applied Physics Letters, 78, p. 2291-2293, 2001 and Q Bao and C Pan, “Electric field induced growth of well aligned carbon nanotubes from ethanol flames”, Nanotechnology 17 (2006) 1016-1021). A related arrangement is described by W. Merchan-Merchan et al, “Combustion synthesis of carbon nanotubes and related nanostructures”, Progress in Energy and Combustion Science, Vol. 36 (2010) pp 696-727.
The use of an alternating rather than static (DC) field was described by Chen et al “Quantitatively Control of Carbon Nanotubes Using Real Time Electrical Detection Dielectrophoresis Assembly”, Proceedings of the 15th IEEE International Conference on Nanotechnology, Jul. 27-30, 2015, Rome, Italy, pp 1029-1032.
A method for the creation of longer assemblages of CNTs was described by L. R. Bornhoeft et al (“Teslaphoresis of Carbon Nanotubes”, ACS Nano 2016, 10, 4873-4881, American Chemical Society). The method includes “explosive self-assembly” of powdered CNTs in air and slow alignment of a liquid CNT suspension.
US-A-2012/0282453 discloses a continuous method for producing a ribbon of CNTs which are aligned by applying a polymer spray to form a composite.
A combination of the use of FCCVD and the application of electric fields is described by Peng et al (Enrichment of metallic carbon nanotubes by electric field-assisted chemical vapor deposition, Carbon, Vol. 49 (2011), pp 2555-1560). However the electric field is oriented orthogonally to the direction of gas flow so continuous production of long aggregations of aligned CNTs is not possible.
None of the prior art methods is suitable for the production of continuous aligned macroscale fibres for engineering applications.
The present invention relates to a method and a temperature-controlled flow-through reactor by which CNT structures (eg fibres) may be manufactured continuously with improved alignment of the constituent CNTs which contributes to improved mechanical, electrical or thermal properties. In particular, the present invention relates to a floating catalyst (CVD) method in which there is direct interaction with the self-assembly of CNT bundles in the gas phase.
Thus viewed from a first aspect the present invention provides a method for the production of a carbon nanotube structure comprising:
Typically the continuous flow of the carrier gas follows a substantially linear flow path.
Preferably the electric field is oriented substantially parallel to the flow path of the carrier gas. Particularly preferably the electric field is oriented substantially coaxial with the flow path of the carrier gas.
Preferably the temperature-controlled flow-through reactor comprises:
The electrode may be positioned partially inside the elongate refractory housing. For example, the electrode may extend upstream from the upstream end.
Preferably the electrode is oriented substantially parallel to the flow path of the carrier gas. Particularly preferably the electrode is oriented substantially coaxial with the flow path of the carrier gas.
The electric field may be generated by an electric field generator having a first terminal (eg a metal case) connected electrically to ground and a second terminal connected electrically to the electrode.
In step (a), the metal catalyst precursor may be introduced axially or radially into the temperature-controlled flow-through reactor. The metal catalyst precursor may be introduced through a probe or injector. The metal catalyst precursor may be introduced at a plurality of locations.
The metal catalyst precursor may be suspended in the carrier gas as solid particles (preferably solid nanoparticles).
The metal catalyst precursor may be a metal compound of at least one of the group consisting of Fe, Ru, Co, W, Cr, Mo, Rh, Ir, Os, Ni, Pd, Pt, Ru, Y, La, Ce, Mn, Pr, Nd, Tb, Dy, Ho, Er, Lu, Hf, Li and Gd.
The metal catalyst precursor may be a metal complex or organometallic metal compound.
Preferably the metal catalyst precursor is sulphur-containing.
The metal catalyst precursor may be introduced in step (a) together with a sulphur-containing additive. The sulphur-containing additive may be thiophene, iron sulphide, a sulphur-containing ferrocenyl derivative (eg ferrocenyl sulphide), hydrogen sulphide or carbon disulphide.
Typically the particulate metal catalyst is a nanoparticulate metal catalyst. Preferably the nanoparticles of the nanoparticulate metal catalyst have a mean diameter (eg a number, volume or surface mean diameter) in the range 1 to 50 nm (preferably 1 to 10 nm). Preferably 80% or more of the particles of the nanoparticulate metal catalyst have a diameter of less than 30 nm. Particularly preferably 80% or more of the particles of the nanoparticulate metal catalyst have a diameter of less than 12 nm. The concentration of the particulate metal catalyst may be in the range 106 to 1010 particles cm−3.
In step (c), the source of carbon may be released axially or radially into the temperature-controlled flow-through reactor. The source of carbon may be introduced through a probe or injector. The source of carbon may be introduced at a plurality of locations.
The source of carbon may be an optionally substituted and/or optionally hydroxylated aromatic or aliphatic, acyclic or cyclic hydrocarbon (eg alkyne, alkane or alkene) which is optionally interrupted by one or more heteroatoms (eg oxygen). Preferred is an optionally halogenated C1-6-hydrocarbon (eg methane, propane, ethylene, acetylene or tetrachloroethylene), an optionally mono-, di- or tri-substituted benzene derivative (eg toluene), C1-6-alcohol (eg ethanol or butanol) or an aromatic hydrocarbon (eg benzene or toluene).
The generation of particulate metal catalyst may be initiated in step (b) by thermal decomposition or dissociation of the metal catalyst precursor into metal species (eg atoms, radicals or ions). The generation of particulate metal catalyst in step (b) may comprise nucleation of the metal species into nucleated metal species (eg clusters). The generation of particulate metal catalyst may comprise growth of the nucleated metal species into the particulate metal catalyst.
In a preferred embodiment, the carrier gas includes dispersed substrate particles. Typically the substrate particles are finely divided. The substrate particles serve to promote nucleation in the first temperature zone by forming substrate-supported particulate metal catalyst dispersed in the carrier gas. The substrate particles may be Si or SiO2 particles.
Preferably the method further comprises introducing substrate particles into the continuous flow of the carrier gas.
In a preferred embodiment, steps (a) and (c) are concurrent.
The first and second temperature zones may extend over at least the range 600 to 1300° C.
The carrier gas is typically one or more of nitrogen, argon, helium or hydrogen. The flow rate of the carrier gas may be in the range 1000 to 50000 sccm (eg 30000 sccm).
The carbon aggregate may comprise multi-walled carbon nanotubes (eg double-walled carbon nanotubes) and/or single-walled carbon nanotubes.
The carbon aggregate may take the form of a 3D continuous network (eg an aerogel).
Preferably the carbon aggregate is an aerogel.
The carbon nanotube structure may be a powder, fibre, wire, film, ribbon, strand, sheet, plate, mesh or mat.
The carbon nanotube aggregate or carbon nanotube structure may comprise carbon nanotube bundles (ie arrays of substantially parallel CNTs (typically 3-20 CNTs) mutually attracted by Van-der-Waals forces).
The carbon nanotube aggregate or carbon nanotube structure may comprise carbon nanotube bundles with a median diameter (eg as measured by SEM and manual image analysis) of 16 nm or more, preferably 20 nm or more, particularly preferably 25 nm or more, more preferably more than 50 nm, even more preferably 75 nm or more. Preferably the diameter of the carbon nanotube bundles follows a log normal distribution.
The carbon nanotube aggregate or carbon nanotube structure may comprise carbon nanotube bundles with a median diameter (eg as measured by SEM and manual image analysis) which is variable axially (ie along the length). Preferably the diameter of the carbon nanotube bundles varies axially from a normal distribution to a log normal distribution.
Viewed from a further aspect the present invention provides a temperature-controlled flow-through reactor for the production of a carbon nanotube structure comprising:
The temperature-controlled flow-through reactor may further comprise a second electrode. The electric field generator may be electrically connected to the second electrode so as to apply a high potential or a low potential thereto. Preferably the second electrode is electrically connected to ground.
The temperature-controlled flow-through reactor may further comprise a third electrode. The electric field generator may be electrically connected to the third electrode so as to apply a high potential or a low potential thereto. Preferably the third electrode is electrically connected to ground. The third electrode may be used to control the form, intensity and position of the electric field.
The temperature-controlled flow-through reactor may further comprise multiple additional electrodes which are positioned outside the elongate refractory housing. The multiple additional electrodes may be alternately connected to the electric field generator at a high potential and to ground.
The (or each) electrode may be an elongate electrode (eg an elongate solid or elongate hollow electrode). The (or each) electrode may be substantially cuboidal, cylindrical or annular. Typically the (or each) electrode is substantially coaxial with the elongate refractory housing.
The first electrode may be positioned at least partially inside the elongate refractory housing (eg at or near to the upstream end of the elongate refractory housing). The first electrode may be positioned at or near to (eg adjacent to) the second temperature zone. The first electrode may be positioned upstream from the second temperature zone.
The (or each) electrode is typically formed from a conductive material able to withstand the temperature and chemical environment inside the refractory tube. Suitable materials include molybdenum or vitreous carbon. The (or each) electrode may be equipped with an inert sleeve (eg an alumina sleeve). The sleeve may leave only the downstream tip of the electrode exposed.
Preferably the electric field is substantially coaxial with the elongate refractory housing.
Preferably the collector is electrically connected to ground. By virtue of its effective connection to the collector during use, the carbon nanotube aggregate is grounded.
In a first preferred embodiment, the first electrode is positioned inside the elongate refractory housing at or adjacent to the second temperature zone and the collector is connected electrically to ground. Preferably a grounded part (eg terminal) of the electric field generator is electrically connected to the collector.
In a second preferred embodiment, the temperature-controlled flow-through reactor further comprises a second electrode outside the elongate refractory housing and the first electrode is positioned inside the elongate refractory housing at or adjacent to the second temperature zone. Particularly preferably a grounded part (eg terminal) of the electric field generator is electrically connected to the collector.
In the second preferred embodiment, the second electrode may be electrically connected to the thermal enclosure and the thermal enclosure may be grounded. This serves to ground the second electrode. For example, the second electrode may be electrically connected to a metal case of the thermal enclosure.
In a third preferred embodiment, the first electrode is positioned outside the elongate refractory housing adjacent to the second temperature zone. Particularly preferably a grounded part (eg terminal) of the electric field generator is electrically connected to the collector.
In a fourth preferred embodiment, the temperature-controlled flow-through reactor further comprises a second electrode positioned outside the elongate refractory housing, wherein the first electrode is positioned outside the elongate refractory housing and the second electrode is electrically connected to ground.
In a fifth preferred embodiment, the temperature-controlled flow-through reactor further comprises a second electrode positioned inside the elongate refractory housing, wherein the first electrode is positioned inside the elongate refractory housing and the second electrode is electrically connected to ground.
The first electrode may be positioned adjacent to the second temperature zone. The tip of the first electrode may be positioned upstream of the midpoint of the elongate refractory housing.
The second electrode may be positioned adjacent to the second temperature zone. The tip of the second electrode may be positioned downstream of the midpoint of the elongate refractory housing.
Preferably the electric field generator applies an AC potential (eg in the range 500 V and 5000 V peak-to-peak).
Preferably the electric field generator is an AC source. An AC electric field serves advantageously to align continuously the CNTs in-situ before they form dense networks and an aerogel. Specifically an AC field produces a CNT stiffening effect (z-pinch) induced by a Lorentzian force. By way of illustration, it was determined in one example that CNT bundle diameters broadened from 16 to 25 nm and there was a dramatic increase in the electrical and tensile properties (up to 90 and 380% respectively) without modifying the fundamental nature of the constituent nano building blocks (as verified by Raman spectroscopy). The enhanced properties were correlated to the degree of CNT alignment within the textile as quantified by small-angle X-ray scattering and innovative SEM image analysis. Clear alignment (T2=0.5) was achieved relative to the pristine material (T2=0.2) at applied field intensities in the range 0.5-1 kV cm−1.
Preferably the electric field generator applies an AC potential at a field intensity in the range 0.1 to 2.0 kV cm−1, particularly preferably 0.5 to 1.0 kV cm−1, more preferably 0.35 to kV cm−1.
Preferably the electric field generator is operable at radio-frequency (RF). Particularly preferably the electric field generator is operable at high radio-frequency (HF) (for example a frequency in the range 10 to 20 MHz).
Preferably the temperature-controlled flow-through reactor further comprises a third feed for introducing substrate particles into the continuous flow of the carrier gas.
The first, second and third feed may be an injection nozzle, lance, probe or a multi-orificial injector (eg a shower head injector).
The elongate refractory housing may be substantially cylindrical (eg tubular).
Typically the thermal enclosure contains thermal insulation material. The thermal enclosure may be a metal case which is grounded.
The axial temperature variation may be non-uniform (eg stepped). The temperature of the temperature-controlled flow-through reactor may be controlled by resistive heating, plasma or laser.
The temperature-controlled flow-through reactor may be substantially vertical or horizontal.
The collector is typically electrically-conductive (eg metallic). The collector may be a rotary spindle, reel or drum.
The method and reactor of the invention facilitate control of the size and distribution of CNT bundles (ie arrays of substantially parallel CNTs (typically 3-20 CNTs) mutually attracted by Van-der-Waals forces) by (for example) adjusting electric field intensity.
Viewed from a yet further aspect the present invention provides a carbon nanotube aggregate or carbon nanotube structure which comprises carbon nanotube bundles with a median diameter (eg as measured by SEM and manual image analysis) of 16 nm or more, preferably 20 nm or more, particularly preferably 25 nm or more, more preferably more than even more preferably 75 nm or more.
Preferably the diameter of the carbon nanotube bundles follows a log normal distribution.
Viewed from an even yet further aspect the present invention provides a carbon nanotube aggregate or carbon nanotube structure which comprises carbon nanotube bundles with a median diameter (eg as measured by SEM and manual image analysis) which is variable axially along the carbon nanotube aggregate or carbon nanotube structure.
Preferably the diameter of the carbon nanotube bundles varies axially from a normal distribution to a log normal distribution.
The present invention will now be described in a non-limitative sense with reference to the accompanying Figures in which:
In the embodiments of
For a refractory tube 1 having a diameter of 55 mm, it was found that the voltage required to provide CNT alignment by alternating electric fields is typically between 500 V and 5000 V peak-to-peak. The maximum field strength that may be used is below that which causes the generation of corona discharges or the formation of a plasma within the refractory tube 1. The optimum axial position of the electrodes and the field strength between electrodes is a function of the diameter of the refractory tube 1, the identity and flow rate of reactive and transport gases within the refractory tube 1, the temperature profile along the axis of the refractory tube 1 and the configuration of the high-voltage electrode(s) and the grounded electrode(s). While the frequency of the applied field may be in the range 13.553-13.567 MHz, other frequencies may be used.
It is convenient to generate the electric field using a radio-frequency generator whose output is applied to a circuit arrangement configured to be resonant at the selected operating frequency. An exemplary embodiment of such a circuit arrangement is shown in
A stray (parasitic) capacitance 36 exists between the metallic outer case 2 of the furnace and the high voltage electrode and associated conductive connections. The effect of this stray capacitance is to load the resonant circuit 31, 33 resulting in reduced output voltage at the output port 35. The effect of the stray capacitance 36 may be reduced by connecting an inductor 37 in parallel therewith. The effective value of the inductor 37 Is chosen to create a parallel resonance with the stray capacitance 36 at the operating frequency.
A port 38 is connected by means of a radio-frequency transmission line to a resistive termination typically having a value of 50 ohms. A monitoring port 39 together with a galvanically connected conductive loop 48 and a capacitor 40 are provided to enable the output voltage to be measured after a one-time calibration process to relate the output voltage at the monitoring port 39 to a much lower voltage at the output port 35. After calibration, the voltage at the output port 35 may be estimated by measuring the low voltage at the output port 35 using (for example) a standard oscilloscope. This arrangement removes any requirement for frequent measurements of high radio-frequency voltages which may create hazards to personnel operating the equipment.
The radio-frequency generator connected to the input port 30 provides a selectable level of output power and contains arrangements to reduce output power in the event that the reflected power increases beyond a level that could create damage. Monitoring the reflected power provides an indication of changes within the reactor such as the incipient formation of corona or other electrical discharges or contact between the grounded CNT aerogel and the high voltage electrode. Monitoring information may be provided by a digital interface to the radio-frequency generator and may be used to control the rate of withdrawal of the aerogel from the refractory tube or the flow rates of reagents.
A bespoke cabinet was fabricated to act as an RF shielded compartment for the HV components thereby ensuring personnel and equipment safety. The system housed a 300 W RF generator (Dressler Cesar 1312) working at the license-free 13.56-MHz band. The generator's output was connected to a 50-ohm load through a series-connected L-C circuit tuned to 13.56 MHz. Such an arrangement resulted in a high voltage being generated at the connection between the inductor and the capacitor. A second variable capacitor (C1) was connected in parallel with the inductor so its effective reactance could be varied. To project the system's generated HV into the reactor, the L-C junction was connected to an RF electrode. The voltage was tuned by modifying the reactance of the main capacitor and the parallel combination of the inductor and its capacitor according to equation (1):
where Q is known as the voltage magnification factor, L is the inductance, C is the capacitance and V is the output voltage.
The RF output voltage was measured by connecting a resistive voltage divider (985 kΩ+1 kΩ) across the high voltage output of the network and measuring the voltage across the 1 kΩ resistor using an oscilloscope (72-8705A Tenma) and a 1:1 probe with 30 W applied input power. A correction was applied to account for the stated input impedance of the probe. As the output voltage is proportional to the square of the output power, the measurements at W were appropriately scaled
The field distribution inside the furnace was modelled using the AC/DC module of COMSOL Multiphysics. The small dimensions of the furnace interior (overall length 500 mm) compared with the free-space wavelength (22 m) allowed the field to be modelled on a quasi-DC basis. In such a model, the form of the electric field is independent of the applied voltage. The reactor component dimensions and material properties were faithful to the real-life system. The CNT aerogel seen in
The FCCVD reactor was equipped with a single RF graphite electrode aligned along the central axis of the tube. Conceptually the electrically conductive CNT aerogel forming at the end of the reactor acted as a grounded electrode (see
Fibres were weighed using a microbalance (Sartorius SE2-F) and their length was measured to calculate the linear density of each sample in g km−1 (tex). Fibre linear resistance was determined by measuring the resistance of a 100 mm section of each sample using a bespoke four-point probe jig connected to a milliohm meter (Aim-TTi BS407). Specific electrical conductivity was calculated by normalizing the linear conductance (inversely proportional to the linear resistance) according to the linear density of each sample. Specific electrical conductivity values (S m2kg−1) were averaged according to a set of at least three samples.
Fibre tenacity (ultimate tensile stress normalized by linear density) and strain at failure were determined using an Instron mechanical tester (5500R) equipped with a 10 N load cell. The initial gauge length was 20 mm and the sample displacement rate was 1 mm min−1. Sample pretension was fixed at 0.1 N. To prevent slippage, the ends of the CNT fibre samples were sandwiched and glued between aluminium foils before clamping to the grips. Fibre tenacity and strain at failure values were averaged according to a set of at least three samples.
Raman analysis was conducted in a Horiba XploRA PLUS confocal microscope system using a 638 nm laser, 50× objective, 1200 grating, 25% laser power and three accumulations of Spectra are presented with baseline correction applied. G/D ratios were averaged according to a set of at least three repeats on three different samples.
2D SAXS patterns of CNT materials were collected at ALBA synchrotron light facility (Barcelona, Spain) at BL11-NCD-SWEET non-crystalline beamline, equipped with Dectris (Pilatus 1M) photon counting and Rayonix LX255-HS CDD detectors. Scattering of the samples was collected using a microfocus spot of ˜10-μm in diameter and at a radiation wavelength of λ=1.0 Å. Before collecting the patterns, the position of the sample holder was calibrated using silver behenate (AgBh). The collected patterns were first corrected for the background scattering and then analysed using DAWN software (v. 2.20) obtaining azimuthal profiles after radial integration over Q range of 0.7 to 0.8 nm-1. The intensities were normalized by the scattering invariant Q obtained from Kratky plots, q2·I(q) vs q.
For HRTEM imaging, specimens were prepared by sonicating ˜10 mg of CNT material in 200 ml of 1-methyl-2-pyrrolidinone (NMP 99% purity; Merck) for 60 minutes in an ultra-sonicator (Hielscher, UP400ST). 1 ml of the dispersion was pipetted on a Lacey Formvar/Carbon TEM grid (Ted Pella) and was left undisturbed for 1 minute to be then blotted away. The residual NMP was dried by baking the grid in a vacuum oven at 70° C. overnight. Imaging was done in high-resolution mode using a monochromated FEI Titan 80-300 TEM operated at 300 KV.
The FCCVD reactor was equipped with two electrodes aligned along the central axis of the 50 mm (OD) alumina tube (Almath Crucibles; see
The CNT specimens were imaged using a MIRA3 field emission gun-SEM (Tescan). Imaging was done at an acceleration voltage of 5 kV using the In-Beam SE detector at a 3-5 mm working distance. The specimens were not sputter coated. For alignment quantification, images were acquired at a 50k× magnification using a 4096×3072 raster. In case alignment was visually evident, images were manually taken at an angle that most CNTs were parallel to the long axis of the rectangular frame. At these imaging parameters, the resolution was calculated to be at 2.9-4.7 pixels per CNT bundle (based on the finding that the CNT bundles median diameter was between 16-26 nm as shown in the results section) and as such the number of CNTs per frame should be higher than 500. The resolution and number of CNTs per frame satisfied what was required for successful image analysis. SEM image analysis was performed to acquire the image orientational distribution function (ODF) and further extract the orientational order parameter (namely the second moment which is the average of the Chebyshev polynomial T2). The analysis was done by the use of the open-access Fibre COP program. The program parameters were set for 5 scans, bin size of 0.25, with a filter interval of 5. The number of peaks was set to 3, while each peak was Lorentzian fitted. Acquiring the average T2 orientation parameter for each twin electrode setup was based on the analysis of at least 3 SEM images (a total of more than 1500 CNTs). SEM images for CNT bundle diameter analysis were taken using the same configuration as described above but with a 200k× magnification. 200 CNT bundle diameters were manually measured using Fiji, and the histogram was fitted by a log-normal distribution using OriginPro 2021.
CNT alignment with alternating electric fields can be described using the worm-like chain model with energy contributions from bending, electric polarization and the additional electromagnetic interactions due to the z-pinch stiffening effect.
Current, Pressure and Force
As a first approximation, any variation of the current magnitude in the CNT along its contour and in time was neglected. Hence a constant current J in the CNT is postulated. In the derivation of the Lorentz pressure, a continuous CNT with a finite wall thickness is assumed. Using Ampère's law, it is possible to compute the magnetic field strength inside the CNT wall. The axial electric current and circumferential magnetic field are shown in
By further integrating over the surface at each point along the contour, parametrized by s, the following restoring line force density can be derived:
were A=πR2 is the cross-sectional area of the CNT and {circumflex over (t)}(s) is the tangent vector along the CNT. Hence the pressure resulting from the current will always work against the curvature of the chain. The pressure and restoring force are illustrated for a 2D continuum model of a CNT in
Energy Contributions
Using variational methods, the energy contribution of the restoring force density due to z-pinch stiffening is computed:
F
q
=−pA[∫
0
L/2
ds{circumflex over (t)}(0)·{circumflex over (t)}(s)+∫L/2Lds{circumflex over (t)}(L)·{circumflex over (t)}(s)] (4)
This energy has the natural interpretation of both halves of the chain being pulled in the direction of their respectively closest ends with the mid-point of the chain being fixed in place.
The current and the resulting pressure need to be externally induced in the CNT. This can be done by applying an electric field E across the CNT. Assuming a simple model where charges can only move tangentially within the CNT, the following energy contribution of the electric field itself has been proposed:
where A is again the cross-sectional area of the CNT.
Combining the energy terms discussed above with the regular curvature term of the WLC yields the full free energy functional of the model:
where α simply denotes the bending stiffness of the CNT.
Harmonic Approximation
For the present purposes, it is sufficient to assume that the CNT is already strongly aligned with the electric field. Without loss of generality, the electric field point is allowed along the z-axis and has magnitude E. The tangent vector and its derivative to second order in the x and y components of the tangent vector θ(s) may then be expanded to then arrive at the following harmonic approximation for the free energy, up to an additive constant:
This approximate model is the basis for the present results and can be solved exactly using methods from Gaussian statistical field theory.
The field alignment adapted FCCVD rig used a graphite electrode (the RF electrode) which was connected to the HV unit and inserted through the reactor head. The electrically conductive CNT aerogel (continuously synthesized in the reactor) was collected on an earthed bobbin to act as the grounded electrode (see
Due to the rapid radial growth of VGCF whiskers on the RF electrode and the inevitable electrical contact with the ceramic tube, a low resistance was created within a few seconds between the RF electrode and the ground. This rendered the HV setup off-tune and led to a massive drop in voltage and field intensity. Due to this, the RF electrode was retracted 100 mm upstream of the midpoint. At this position, the RF electrode was at least 10 mm further upstream to where VGCF whiskers were detected growing, thus avoiding an RF short circuit during the continuous run. In such a setup, it was visually apparent that no radial growth of VGCF whiskers occurred during the runs but some axial whisker growth could be detected (see
Trials with this setup were run with the RF power supply set to 0 (reference), 200, 250, and 300 W (maximal power output). In this setup, the applied field intensity could not be assessed as the inter-electrode gap was unknown. However as V∝P1/2, the increment in field intensity should be proportional to the square root of the RF generator power. Electrical measurements on the different samples revealed an evident increase of 75-90% in specific electrical conductivity compared to the reference samples (0W), while there was no apparent change in the G/D ratios retrieved from Raman spectroscopy (see
To get a direct evaluation of the degree of alignment, additional SAXS analysis was performed on the samples.
Z-Pinch Stiffening
The CNT is modelled as a continuous shell with vanishing thickness. As a mean-field approximation, it was assumed that the current density within the CNT wall is constant along the entire CNT contour. The current in a CNT is limited by scattering of the electrons with optical phonons. Modelling of the current-carrying modes within an SWCNT suggests that electric currents for RF electric fields should exceed the maximum saturation current of a CNT wall of J0≈25 μA. Hence, as current saturation is assumed, it is assumes that a SWCNT carries the saturation current J0 when an RF AC field is applied. This contrasts with a simple DC field, where no current will flow after the initial polarization of the CNT. Furthermore experiments suggest that in bundles of SWCNTs and MWCNTs, each CNT wall carries its own saturation current. Hence the total current scales proportionally with the number of walls present in the CNT fibre.
The axial electric current in the CNT then induces a circumferential magnetic field within the CNT wall as shown in
If a curved CNT segment is considered, it is clear that the side facing towards (away from) the centre of curvature is compressed (stretched). Hence there is more surface area for the Lorentz pressure to act on the side facing away from the centre of curvature, leading to an effective restoring force. As this force counteracts any curvature, the CNT is stiffened by the z-pinch effect. An illustration of the pressure and restoring force is shown in
The main measure used to quantify alignment is the two-dimensional orientational order parameter T2 defined by:
T
2=2cos θ2D
−1
where θ2D denotes the two-dimensional alignment angle of the CNT with the electric field. This quantity can be easily measured in two-dimensional SEM images of CNT materials, hence allowing for the direct comparison of the present theoretical model with experimental data. The mean value of T2 varies along the CNT, being lowest at the CNT ends and highest at the mid-point of the CNT. As a conservative measure of CNT alignment, the minimum value T2,min found at the CNT ends was chosen
Intuitively CNT alignment improves with increasing electric field strength and CNT length up to a certain point. For DC, there is a clear change in behaviour where T2,min no longer depends on the CNT length above a threshold length (see
The strength of z-pinch stiffening is limited by current saturation in SWCNTs. However the saturation current scales proportionally to the number of CNT walls in a bundle of SWCNTs or single MWCNTs. Hence z-pinch stiffening should be significantly more pronounced in both cases.
As a means of controlling and increasing the applied field intensity and its lateral occurrence in the reactor volume, an additional two electrode setup (see
Due to the rapid radial growth of VGCF whiskers on the RF electrode and the inevitable HV setup going off-tune leading to a massive drop in voltage and field intensity even for a short period (˜5 s) of applied HV, it was apparent that the setup has a substantial influence on the formation and alignment of the CNT aerogel. This can be easily inferred from
As the amount of material produced in the twin-electrode setup was meagre, quantifying the degree of alignment as a function of the applied field intensity could only be done through SEM image analysis. An open-access program (Fibre COP) dedicated to quantifying the uniaxial orientational order based on 2D images was used to accommodate such a need. For orientational distributions derived from 2D images, the software computed the average of the second moment of the Chebyshev (as opposed to Legendre) polynomial according to a Lorentzian fibre orientation distribution. Thus the calculated orientational order parameter is referred to in this section as T2 rather than the more common Herman's parameter (P2), which is suitable for data derived from a ‘3D bulk sample, for example obtained from x-ray diffraction. It was also noted that T2 values based on a Lorentzian distribution always show lower values than P2 on the same dataset. Hence one should not directly compare present values of T2 to Herman's parameters published elsewhere, but instead use it as an internal scale of alignment. As shown in
This novel approach utilizes external electrical fields (eg up to an intensity of ˜1 kV cm−1) to form a substantial effect on the self-assembly mechanism of CNTs in the gas phase, as manifested by apparent CNT bundle thickening from ˜16 to ˜25 nm. The system enables the continuous in-situ manipulation of the nanomaterials whilst being collected to form macroscopic textiles. As determined by SAXS, the method has proven to generate distinctive alignment patterns compared to the isotropic nature of the original bulk material. The microstructural reorganization correlates nicely with the transition of the textile's mechanical behaviour from ductile to brittle-like, increasing the elastic moduli by up to 375%. As the alignment led to a higher portion of load-bearing nanotubes resisting tensile load, the specific stress to failure increased by up to 358%. This also led to fewer resistive CNT-CNT junctions with an associated electrical enhancement of up to 90%. Interestingly the electric field did not influence the CNT synthesis as no apparent changes could be detected using Raman spectroscopy. A well-developed model acknowledged the feasibility of MWCNT bundle alignment to occur below the carrier gas breakdown threshold and revealed the benefits of applying an AC rather than a DC field.
There is confidence that this novel use of external fields to manipulate and control the assembly process of CNT networks in the gas phase will unlock the full potential of high aspect ratio (˜104) CNT-based textiles without sacrificing the cost-effectiveness of the basic process.
Number | Date | Country | Kind |
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2016334.1 | Oct 2020 | GB | national |
Filing Document | Filing Date | Country | Kind |
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PCT/GB2021/052675 | 10/15/2021 | WO |