Carbon 172 (2021) 772e780 Contents lists available at ScienceDirect Carbon journal homepage: www.elsevier.com/locate/carbon Research Article Ultra-long carbon nanotube forest via in situ supplements of iron and aluminum vapor sources Hisashi Sugime a, b, *, Toshihiro Sato a, Rei Nakagawa a, Tatsuhiro Hayashi c, Yoku Inoue c, Suguru Noda a, b a b c Department of Applied Chemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo, 169-8555, Japan Waseda Research Institute for Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo, 169-8555, Japan Department of Electronics and Materials Science, Shizuoka University, 3-5-1 Johoku, Naka-ku, Hamamatsu, 432-8561, Japan a r t i c l e i n f o a b s t r a c t Article history: Received 1 September 2020 Received in revised form 16 October 2020 Accepted 21 October 2020 Available online 24 October 2020 A carbon nanotube forest with a length of 14 cm grew with an average growth rate of 1.5 mm s1 and a growth lifetime of 26 h. Several key factors to realize this unprecedented long growth such as catalyst conditions, growth conditions in chemical vapor deposition, and reactor system were clarified. It was found that the combination of the catalyst system of iron/gadolinium/aluminum oxide (Fe/Gd/Al2Ox) and the in situ supplements of Fe and Al vapor sources at very low concentration was crucially important. A cold-gas system, where only the substrate is heated while keeping the gas at room temperature, was employed to suppress unnecessary reactions and depositions. The long carbon nanotube forest enabled macroscopic measurements of the tensile and electrical properties of the carbon nanotube wires, and it gave several important insights for industrial applications of the carbon nanotubes in the future. © 2020 Elsevier Ltd. All rights reserved. Keywords: Vertically aligned carbon nanotube forest Chemical vapor deposition Growth termination Gadolinium Catalyst 1. Introduction Over the several decades after the discovery of carbon nanotube (CNT) [1], technology has progressed to a point where chemical vapor deposition (CVD) enables the growth of large amounts of CNTs on supports with fixed catalysts [2], or in gas phase with floating catalysts [3]. Growth of CNTs in large scale is one of the main challenges to utilize the attractive properties of CNTs in variety of applications [4]. When CNTs grow from the fixed catalysts with a certain number density, especially for the base-growth mode, the CNTs form vertically-aligned forests which are advantageous in terms of length and alignment of the tubes. After several pioneering works on the growth of multi-wall CNT (MWCNT) forests [5e7], the forest growth of single-wall CNTs (SWCNTs) [8] was reported, which was soon followed by the growth of 2-mm-long SWCNT forest [9], To date, several groups have reported the growth of centimeter-scale CNT forests, and the maximum length that has been reached is ~2 cm using an iron-gadolinium (Fe-Gd) catalyst on * Corresponding author. Department of Applied Chemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo, 1698555, Japan. E-mail address: sugime@aoni.waseda.jp (H. Sugime). https://doi.org/10.1016/j.carbon.2020.10.066 0008-6223/© 2020 Elsevier Ltd. All rights reserved. an aluminum oxide (Al2O3) support [10,11]. Nevertheless, with the conventional approaches, there seemed to exist a ceiling preventing growth beyond ~2 cm. In the past, growth of a half-meter-long individual CNT was reported with the tip-growth mode [12], but the number density of the CNTs (~104 cm2, ten tubes per 1 mm) was at least ~105 times lower than that of the forest growth (~1 109e1013 cm2) [13,14]. Therefore, to utilize the advantage of the productivity that comes from the high CNT number density, it is necessary to realize a method that achieves longer CNT forests while alleviating the growth termination. It is known that the alignment disorder of the tubes [13,15,16] along with the increase of the tube diameter [17,18] progresses before the growth termination, and these phenomena mainly come from the structural change of the catalyst nanoparticles [19]. The catalyst nanoparticles inherently exist closely to each other with high number density in the base-growth mode, thus the influence of coarsening by sintering and/or by Ostwald ripening is much stronger than that of the tip-growth mode. In addition, the effect of the subsurface diffusion of the catalyst nanoparticles has been a serious problem [18,20,21], since it causes the depletion of the active catalysts on the surface of substrates resulting in the growth termination [18]. Therefore, it is essential to establish a method that alleviates these problems simultaneously, since even one factor can terminate the growth by H. Sugime, T. Sato, R. Nakagawa et al. Carbon 172 (2021) 772e780 A n-type Si (dopant: phosphorus, resistivity: 0.002e0.004 U cm) with a size of 0.5 4 cm2 (thickness: 0.6 mm) was used as substrates. Al (5 nm), Gd (0.8 nm), and Fe (2 nm) were sequentially deposited by a conventional radio frequency (RF) magnetron sputtering apparatus under Ar atmosphere (~1 Pa). All the samples were exposed to air between the depositions, which resulted in partial oxidation of each metal layer. Fe (i.e. catalyst) was deposited only in the center area of the substrate (0.5 1 or 0.5 2 cm2) by covering other areas during the deposition to prevent the CNT growth. The edges of the Si substrate were scratched by a diamond scriber to have good electrical contact with the tungsten wires (Fig. S1). Except for the growth experiment for the mass measurement, to enhance the growth rate, the center area of the substrate was also scratched to obtain the CNT forest that was separated into multiple bundles so that the gas diffusion is enhanced and the inter-bundle interaction is suppressed (Fig. S1). schematic of the cold-gas CVD apparatus is shown in Supplementary data, Fig. S2. The substrate was fixed to a pair of electrodes (tungsten wires) to apply voltage. The temperature of the substrate, monitored by a pyrometer (CHINO, IR-CAT), was quickly ramped up to 750 C in ~1 min by Joule heating with a direct current (DC, ~9 V, ~5 A) under CO2/H2/Ar flow. A portion of Ar (carrier gas) was supplied through the glass tubes at room temperature (~20 C) which were filled with powders of ferrocene (Fc) or aluminum isopropoxide (AIP). After reaching 750 C, the temperature was maintained for 2 min for catalyst pretreatment (reduction), and then C2H2 was added to grow CNT forests. The standard gas condition during the CNT growth was C2H2 (0.3 vol%)/CO2 (0.5 vol%)/H2 (5 vol%)/Fc (0.6 ppmv)/AIP (0.03 ppmv)/Ar (94 vol%). The total gas flow rate was 500 sccm for the growth longer than 70 min, while it was 1000 sccm for the growth to measure the mass change in 30 min. The flow rate of each gas during the catalyst pretreatment (temperature ramp) and the growth is summarized with a table in Supplementary data, Table S1. To investigate the effect of Fc or AIP, the growth without these vapors was also carried out. The concentration of Fc and AIP were estimated from the vapor pressures of Fc (0.6 Pa [23]) and AIP (0.02 Pa [24]) at 20 C. The growth behavior was recorded by taking pictures at 1-min intervals using a digital camera. After the growth period, all the gases except for Ar were turned off, and the substrate was cooled down to room temperature. 2.2. Growth of CNT forests by cold-gas CVD method 2.3. Characterization of the as-grown CNTs The growth of CNT was carried out with a custom-made “coldgas CVD” apparatus which we reported previously [22]. A The as-grown samples were characterized by scanning electron microscope (SEM, HITACHI, S-4800), transmission electron deactivating the catalysts. In this report, we found several important conditions that realizes the breakthrough method for the growth of long CNT forests of 14 cm. 2. Experimental 2.1. Catalyst preparation by sputtering Fig. 1. (a) Pictures of the CNT forest growing with the cold-gas CVD method. The substrate temperature was set to 750 C. (b) CNT forest after 32 h growth and the corresponding TG-DTA result. (c) Growth curves of the CNT forests with/without ferrocene (Fc) and/or aluminum isopropoxide (AIP) using Fe/Gd/Al2Ox catalyst (blue circle, red square, green circle, and pink square), and with both Fc and AIP using Fe/Al2Ox catalyst (skyblue triangle). The inset shows the enlarged growth curves of the CNT forests in 70 min under different growth conditions. (A colour version of this figure can be viewed online.) 773 H. Sugime, T. Sato, R. Nakagawa et al. Carbon 172 (2021) 772e780 2 h 30 min, then kept at 2800 C for 1 h. The detailed temperature profile was shown in Fig. S5. microscope (TEM, JEOL, JEM-2100F), and Raman spectroscopy with an excitation wavelength of 488 nm (Horiba, HR800). For the SEM observation, a bundle of the CNTs was separated from the CNT forest and was attached to the Si substrate with carbon tapes (Figs. S3 and S4). For the TEM observation, some parts of the CNT bundle were cut into small pieces and transferred to a Cu-grid to observe several positions of the CNT bundles. Thermogravimetricdifferential thermal analysis (TG-DTA, Rigaku TG8120) of the CNT forest was carried out at a ramp rate of 5 C min1 in air. The areal mass of the CNT forests (mg cm2) was calculated from the area of the substrates and the mass gain obtained by weighing the samples before and after the CNT growth. The mass density (mg cm3) was calculated by dividing the mass gain by the volume of the CNT forests. 3. Results and discussion 3.1. Growth behavior of CNT forests We first show a typical growth behavior of the CNT forest at 750 C for 32 h (Fig. 1a). A growth movie edited by arranging pictures taken every 1 min is also available in Supplementary data (Movie S1). We employed a cold-gas CVD apparatus where only the Si substrate was heated by Joule heating with DC while the temperature of the gas and the chamber wall was kept at near room temperature [22]. The CNT forest in the glass tube chamber (diameter: 5.5 cm) could be clearly observed in this apparatus as only the Si substrate (shown with an arrow in Fig. 1a), which was held and electrically connected to tungsten wires, was heated to 750 C. The CNT forest only grew in an area of 0.5 1 cm2 at the center of the Si substrate where Fe was deposited (total substrate area: 0.5 4 cm2, thickness: 0.6 mm, Fig. S1). Other areas of the Si substrate were covered during the Fe deposition resulting in the region with only Gd/Al2Ox on Si (without Fe). The CNT forests had a packed morphology at the initial growth period. Then the top part gradually split into several bundles as the growth progressed (after ~400 min). This split was caused by tiny differences of the growth rates of the CNT forests which depended on the position of the substrate. The side part of the CNT forest hit the glass chamber after growing longer than ~5 cm in ~400 min. However, the growth at the center part was not mechanically inhibited as the CNT bundles were flexible. The final length of the CNT forest after 32 h growth reached ~14 cm (Fig. 1b), and the TG-DTA showed that the amount of impurities in the CNT forest, which were not burned during the TG-DTA measurement, was under the detection limit, indicating that unnecessary depositions did not occur (inset in Fig. 1b). The growth lifetime was ~26 h which was unprecedentedly long considering the rapid average growth rate of ~1.5 mm s1 in 26 h (blue circle plot in Fig. 1c). As summarized in the inset in Fig. 1c, the initial growth rate in 30 min was approximately 2 mm s1 under any conditions investigated herein. Supplementary data related to this article can be found at https://doi.org/10.1016/j.carbon.2020.10.066. We herein describe several key factors which are necessary to realize such long and rapid growth. Firstly, we used Fe/Gd/Al2Ox catalyst in which the addition of the small amount of Gd between Fe and Al2Ox prolongs the catalyst lifetime significantly. It was found in our previous report that Fe and Gd form an alloy (or oxide compound), which prevents the structural change of the catalyst nanoparticles in the lateral direction during the CNT growth by decreasing the interaction between Fe and carbon [18]. In this report, the forest growth terminated in ~20 min when Fe/Al2Ox catalyst (without Gd) was used as shown in the growth curve in Fig. 1c (skyblue triangle plot). Secondly, to enhance the growth rate, the substrate surface was scratched with a diamond scribe as shown in Fig. S1. By making sub-millimeter spaces, the diffusion of the carbon feedstock was enhanced and the inter-bundle interaction was suppressed, realizing a similar growth condition to the edge of the CNT forest. The initial growth rate (i.e. average growth rate in 30 min) enhanced from ~1 mm s1 to ~2 mm s1 by the scratching. We note that the spacing was not optimized in detail, therefore further optimization of the spacing could realize faster growth. Thirdly, by growing the CNT forest parallel to the chamber axis (and the gas flow), the CNT forest was grown without the restriction of the chamber diameter (5.5 cm herein), which is different from the conventional method where CNT forests grow perpendicularly to the chamber axis. It is noteworthy that the 2.4. Fabrication of CNT wires and tensile and electrical measurement CNT wires with a length of ~14 cm was fabricated by passing the CNT bundles through a hole that had a circular shape with a diameter of 100 mm. The tensile test was carried out by a tensile testing system (Shimadzu, EZ-L). At different positions of the wires, a piece of ~10 mm was cut and fixed on a paper mount using a cyanoacrylate adhesive. The gauge length was set to 10 mm. The high wettability of the cyanoacrylate adhesive to CNTs ensured good fixing of the entire CNT bundle to the test fixture. The crosshead speed was set to 0.1 mm min1 and the strain was measured by a non-contact extensometer (Shimadzu, TRViewX). The stress s (Pa) and strain ε is given by the following equations. s¼ F S ε ¼ L1 L2 In these equations, F (N) is tensile force, S (m2) is cross-sectional area of the CNT wire, L1 (m) is the measured length, and L2 (m) is the gauge length. The Young’s modulus E (Pa) was calculated in the range where the strain ε is less than 0.2% with the following equation. E ¼ s ε The specific strength ss (N tex1) and specific modulus Es (N tex1) were calculated by the following equations where r (g cm3) is the mass density of the CNT wires. ss ¼ Es ¼ s r E r Based on these relationships, 1 tex ¼ 1 g km1. Therefore, the dimension of N tex1 is the same as GPa g1 cm3. The mass of the CNT wires was measured for a bundle with several-ten mm length at a resolution of 0.1 mg using a microbalance (Mettler Toledo, XP2UV). To assess the electrical properties of the CNT wire, the edges of the CNT wires were fixed with Cu plates to apply DC voltage. The electrical conductivity was obtained from the I-V measurement with the two-probe method by fitting the I-V curves linearly. For the ampacity measurement, the voltage was swept until the CNT wire broke under the pressure of 1.5 103 Pa. The annealing of the CNT wires under Ar at atmospheric pressure was carried out in a carbon crucible. The temperature was ramped up in 774 H. Sugime, T. Sato, R. Nakagawa et al. Carbon 172 (2021) 772e780 direction of the gas flow did not affect the CNT forest growth unless it touched the chamber wall, as we confirmed that the same growth occurred when the CNT forest grew perpendicularly to chamber axis (and the gas flow). Last and most importantly, the CVD conditions were carefully customized. We employed the CO2-assisted CVD [25] where 0.5 vol% of CO2 was added as a mild oxidant, similar to that of the ppm-level H2O [9], to prolong the catalyst lifetime. In addition, vapors of ferrocene (Fc, ~0.6 ppmv) and aluminum isopropoxide (AIP, ~0.03 ppmv) were supplied at extremely low concentration by passing a portion of Ar (carrier gas) through quartz glass tubes at room temperature (~20 C), which were filled with powders of Fc or AIP (Fig. S2). The in situ supplement of Fc was first reported by Eres et al. to change the growth behavior [26], although the mechanism had not been clearly discussed. In our previous report, we also showed the effectiveness of supplying Fc during growth for cold-gas CVD by obtaining a CNT forest of ~2 cm. Considering the crucial effect of the subsurface diffusion of Fe into Al2Ox layer on the depletion of Fe followed by the growth termination [18,20,21], the in situ supplement of Fc through gas phase is effective to alleviate the depletion. It is reasonable that the necessary concentration of Fc was ppm-level (supplement without heating Fc source) since the role of the supplement is to compensate for the amount of subsurface diffusion of Fe into Al2Ox which is considered to be less than the initial amount of Fe deposited by sputtering (nominal thickness of 2 nm). The effect of the Fc supplement was clearly observed in the growth curves without Fc with AIP (green circle plot in Fig. 1c) and without neither Fc nor AIP (pink square plot in Fig. 1c), both of which terminated in ~60 min. We Fig. 2. Areal mass and mass density of the CNT forests grown with/without supplement of AIP during the catalyst pretreatment and/or the growth period (four different conditions). “w/w” denotes the condition where AIP was supplied both during the pretreatment and the growth period. “w/wo” denotes the condition where AIP was supplied only during the pretreatment period. “wo/w” denotes the condition where AIP was supplied only during the growth period. “wo/wo” denotes the condition where AIP was not supplied. All the growth conditions are the same with the one in Fig. 1 except for the growth time of 30 min, the total gas flow rate of 1000 sccm, and the scratching process of the center area of the substrates for the mass measurement. (A colour version of this figure can be viewed online.) Fig. 3. (a) Picture of 14-cm-long CNT bundle separated from the CNT forest grown for 32 h. (b) SEM and TEM images of the CNTs at each position shown with the dashed circles in (a). (c) CNT diameter and the wall number at different positions which correspond to (a) and (b). (d) Side-view Raman spectra of the CNT forest and (e) corresponding IG/ID ratio at each position. (A colour version of this figure can be viewed online.) 775 H. Sugime, T. Sato, R. Nakagawa et al. Carbon 172 (2021) 772e780 Fig. 4. (a) SEM image of the CNT wire. The inset shows a cross-sectional image near the top part of the wire which is shown with an arrow. (b) Mass density of the CNT wire at different positions. (c) Typical strain-stress curves of the CNT wire at different positions. (d) Tensile strength, (e) specific strength, (f) Young’s modulus, and (g) specific modulus of the CNT wires at different positions. (A colour version of this figure can be viewed online.) became significantly shorter (~15 h) resulting in the CNT forest with a length of ~5 cm (red square plot in Fig. 1c). To further clarify the effect of the AIP supplement, we investigated the areal mass and the mass density of the CNT forests in 30 min growth under four different conditions changing the timing of the AIP supplement (during catalyst pretreatment and/or CNT growth). As shown in Fig. 2, the growth results with/without AIP during catalyst pretreatment and/or growth period showed that the supplement of note that the ppm-level of Fc was too small to initiate growth of the CNT forests on Gd/Al2Ox layer, therefore no CNT forests grew even at 750 C from areas where Fe was not initially deposited by sputtering. In the same way with Fc, we supplied AIP to suppress the structural change of the catalyst nanoparticles for longer growth lifetime. The growth rate decayed more rapidly without the AIP supplement (with Fc supplement only) and the growth lifetime 776 H. Sugime, T. Sato, R. Nakagawa et al. Carbon 172 (2021) 772e780 AIP during the growth period (“w/w” and “wo/w” in Fig. 2) increased both the areal mass and the mass density of the CNT forests compared to the conditions without AIP (“wo/wo” in Fig. 2). Moreover, even lower areal mass and mass density were obtained when AIP was supplied only in the catalyst pretreatment period (“w/wo” in Fig. 2). This indicated that the decrease of the number density caused by the structural change of the catalyst nanoparticles was suppressed by AIP supplement. Although the elucidation of the detailed mechanism is a future work, it was found that the supplement of AIP clearly changes the growth behavior, possibly influencing the structural change of the catalyst nanoparticles similar to that of the Fc supplement. We note that the mass change of the samples during 30 min reaction (Fig. 2) without carbon source (no CNT growth) was negligible indicating that the mass change by Fc and/or AIP deposition is negligible. Since Fc and AIP were supplied constantly during the growth, unnecessary reactions/depositions needed to be minimized, thus the cold-gas CVD apparatus played an important role for the growth of long CNTs. As we explained in our previous paper [22], “cold-wall CVD” is also effective to suppress unnecessary reactions/depositions compared with conventional hot-wall CVD by keeping the chamber wall at low temperature. The advantage of the cold-gas CVD over the coldwall CVD is that it minimizes the unnecessary reactions/depositions more efficiently by making the heating zone even smaller. For these reasons, satisfying these four conditions described above are inevitable for the growth of the long CNT forests. growth time, further optimization to alleviate both the depletion and the structural change of the catalyst nanoparticles could potentially lead to the ideal growth of the CNT forest without spontaneous growth termination. 3.3. Tensile properties of the CNT wires The advantage of growing long CNTs is that it is possible to conduct macroscopic tensile tests with the continuous CNTs. To investigate the tensile properties of the CNTs with different growth period, we fabricated CNT wires without twisting (diameter: 30e80 mm) by passing the CNT bundles through a hole and carried out the tensile tests at three different parts of the CNT forests (top, middle, bottom) using a standard tensile test with a gauge length of 10 mm. Fig. 4a shows typical SEM images near the top of the CNT wire (diameter: ~75 mm) with an enlarged image of the cross section of the wire in the inset corresponding to the part shown with an arrow in Fig. 4a. The mass densities of the CNT wires at each position, obtained from all the samples for the tensile and electrical measurements (Figs. 4 and 5), were 0.23 ± 0.081, 0.17 ± 0.052, and 0.11 ± 0.049 g cm3 at the top, middle, and bottom, respectively (Fig. 4b). The decrease of the mass density from the top to the bottom was due to the decreased number of CNTs in the specimens at the lower parts. Typical stress-strain (SS) curves of the CNT wires at each position are shown in Fig. 4c. The tensile strength and the specific strength at the top part show the highest values of 76 ± 18 MPa and 0.45 ± 0.11 N tex1, which both decreased at lower parts (Fig. 4dee). The degradation trend from the top to the bottom was also observed with the Young’s modulus and the specific modulus; the top part showed the highest values of 6.2 ± 2.4 GPa and 37 ± 13 N tex1 with decreasing values at lower parts (Fig. 4feg). One of the main reasons for these degradations of the tensile properties from the top to the bottom is the decrease of the mass density (Fig. 4b), which stems from the decreasing number density of the CNTs during the growth as shown in the SEM images (Fig. 3b). However, the decrease of the specific strength and the specific modulus, in which the effect of the mass density is subtracted, cannot be explained solely by the decrease of the mass density. Since the microscopic defects did not increase (i.e. constant IG/ID ratio in the Raman spectra, Fig. 3e), the increase of the wall number (Fig. 3c) and the periodical buckling of the CNTs also needed to be considered. The increase of the wall number resulted in the stress concentration on the outer walls which lead to the deterioration of the specific strength and the specific modulus [28]. As for the specific modulus, the periodical buckling of the CNTs as shown in the SEM images in Fig. 3b resulted in the elongation behavior of the CNT bundles, which lead to the lower specific modulus especially at the bottom part. Although much research has been done on the tensile properties of individual CNT, due to the limitation of the CNT length, most of them were carried out with a gauge length of several mm or less [29e36]. The tensile strength has been reported as 10e80 GPa, and the Young’s modulus reached a value of 1100 GPa. However, since the graphene layers were only used in terms of the cross-sectional area in the reports, the nominal strength and modulus, in which the inner space of CNTs is also included for the cross-sectional area, became significantly smaller: 0.8e60 GPa for the tensile strength and 40e160 GPa for the Young’s modulus [28]. The gauge length also had a significant effect on the tensile properties, since the number of fatal defects, which are more prone to fracture, increased as the gauge length increased. Recently, the tensile strength and the Young’s modulus of several millimeter-long MWCNTs using a standard tensile tester were reported to be 0.85 GPa and 35 GPa, respectively [37]. It was concluded that the larger numbers of CNTs in the specimens lead to the increase of the 3.2. Characterization of the as-grown CNT forest We characterized the as-grown CNT forests (32 h growth, Fig. 1b) by SEM, TEM, and Raman spectroscopy. The longest parts of the CNT forests were CNT bundles with a length of ~14 cm (Fig. 3a). The SEM images with low magnification showed that the bundles consisted of continuous CNT without obvious discontinuous parts (Fig. S3). The detailed analysis of the CNT forest at different positions (as shown with dashed circles in Fig. 3a) by SEM showed that the alignment of the CNTs became worse and worse gradually from top to bottom part (Fig. 3b). This alignment disorder progressed because of the gradual decrease of the active catalyst nanoparticles resulting in the lower number density of the CNTs [13,19]. In addition, the TEM images showed that the diameter increased from 5.4 ± 0.74 to 8.1 ± 1.7 nm (average ± standard deviation) and the wall number increased from 2.0 to 3.8 ± 0.93, which are summarized in Fig. 3c. This continuous change of the CNT diameter is similar to that of previous studies of millimeter-scale forest growth [17,18], and thus solidifies the possibility of continuous growth of the CNTs herein. The Raman spectra showed the G-band peak at ~1590 cm1 and the D-band peak at ~1350 cm1 with a constant intensity ratio (IG/ID) of ~1.4 from top to bottom, which is a typical value for MWCNT forests (Fig. 3dee) [11]. Compared to the previous CNT forests, the behavior of the morphological change of the forests and the diameter change of the individual CNT were generally the same. The difference was that the ratio of growth rate to the rate of structural change of the catalyst nanoparticles was much higher. However, the morphological change of the forest, which possibly stems from the structural change of the catalyst nanoparticles, was not completely suppressed resulting in the decay of the growth rate and the eventual growth termination (blue plot in Fig. 1c). By the SEM observation of the CNT forest without AIP supplement (Fig. S4), the morphological change of the forest was similar but more rapid from top to bottom compared to the one with AIP supplement (Fig. 3b) indicating the suppression of the structural change of the catalyst nanoparticles by the AIP supplement. We note that as the detailed optimization of the Fc and AIP flow conditions was not conducted this time, especially for the longer 777 H. Sugime, T. Sato, R. Nakagawa et al. Carbon 172 (2021) 772e780 Fig. 5. (a) Electrical conductivity and (b) specific conductivity of the CNT wires (before annealing) at different positions. (c) SEM and TEM images and (d) Raman spectra of the CNT wires at different positions after annealing at 2800 C for 1 h. Comparison of (e) electrical conductivity and ampacity, and (f) specific conductivity and scaled ampacity (ampacity per CNT) at the middle of the CNT wires before and after annealing. (A colour version of this figure can be viewed online.) 3.4. Electrical properties of the CNT wires and annealing effect fatal defects, which resulted in lower strength and modulus. This explanation applies well with the lower values herein compared to the ones measured using individual CNT [34]. Considering the gauge length of 10 mm and the number of CNTs in the specimens at an order of ~108, the obtained nominal tensile strength of 0.54 GPa (¼ 0.45 N tex1 1.2 g cm3) and the nominal Young’s modulus of 44 GPa (¼ 37 N tex1 1.2 g cm3), measured at the top part, are reasonable values. We note that the average mass density of 1.2 g cm3 for individual CNT was calculated from the CNT diameter and wall number in TEM observation [38], Fig. S6. In a similar manner to the tensile tests, we evaluated the electrical properties of the CNT wires. As observed in the tensile properties, the electrical properties of the CNT wires showed the same trend from the top to the bottom of the CNT forests. The top part showed the highest electrical conductivity and the specific conductivity of 220 ± 48 S cm1 and 680 ± 12 S cm2 g1, which decreased at lower parts (Fig. 5a and b). The specific conductivity was comparable with that of the millimeter-scale MWCNTs, including 670 S cm2 g1 (0.9 mm in length and 10 nm in diameter) 778 H. Sugime, T. Sato, R. Nakagawa et al. Carbon 172 (2021) 772e780 [39] and 230 S cm2 g1 (6 mm in length and 10e20 nm in diameter) [40], reported so far. We note that in the electrical measurement, since the perimeter CNTs in the bundle had a better connection to the electrode than the inner CNTs, the perimeter CNTs dominantly contributed to charge transport. By comparing the specific conductivity of the CNT wires herein (450e680 S cm2 g1) with the reported values of the assembled CNTs, including yarns or sheets which consist of millimeter-scale CNTs (440e1360 S cm2 g1 [41e43]), an important insight was obtained. The conductivity of the assembled CNTs was generally considered to be governed by the contact resistance between CNTs. However, the comparable values revealed that the electrical conductivity of the assembled MWCNTs was mainly governed by the conductivity of each CNT rather than the contact resistance between CNTs. We also characterized the CNT wires after annealing at 2800 C for 1 h under Ar flow (the detailed temperature profile is shown in Fig. S5). As shown in the SEM images in Fig. 5c, compared with the bundles before annealing (Fig. 3b), CNT bundles with an even more packed morphology were observed, which was most obvious at the higher parts. In addition to the slightly straighter structure of the graphene walls in the TEM images (Fig. 5c), Raman spectra showed an obvious difference after annealing with an IG/ID ratio of ~10, which is ~6 times higher than that before annealing (Fig. 3e). The effect of this improvement in CNT crystallinity appeared in the electrical properties of the CNTs. The electrical conductivity and the ampacity of the CNT wires at the middle part increased from 140 ± 28 S cm1 and 6.7(±1.4) 103 A cm2 to 350 ± 47 S cm1 and 8.8(±1.2) 103 A cm2 (Fig. 5e), respectively. To subtract the effect of the increased mass density of the CNT wires caused by annealing (from 0.21 to 0.22 g cm3), the relationship between the specific conductivity and the ampacity per CNT (scaled ampacity) were summarized in Fig. 5f. We note that the mass density of 1.2 g cm3 was used for individual CNT to calculate the scaled ampacity as mentioned in the previous section for the tensile properties. The specific conductivity and the scaled ampacity were 610 ± 7.3 S cm2 g1 and 4.0(±0.38) 104 A cm2 before annealing, but it became 1600 ± 57 S cm2 g1 and 4.8(±0.24) 104 A cm2 after annealing. This significant increase in specific conductivity was surely brought by the reduction of the defects which was observed in the Raman spectra. Also, the more packed morphology of the CNT wires in the SEM images (Fig. 5c) implied further bundling by improved van der Waals interaction caused by high graphitization of CNTs, which improved lateral electrical connection. It was concluded that the increase in the conductivity of the CNT wire by heat treatment was due to the synergistic improvement of the conductivity of the CNT itself and the parallel conduction in the bundle. On the other hand, the improvement of the scaled ampacity was not as significant as that of the specific conductivity possibly because the large defects, which became the breaking point, could not be repaired by annealing at this temperature [44]. So far, many studies on the ampacity of short-range CNTs have been carried out by in situ measurements using an electron microscope, and extremely high values of 107e109 A cm2 have been reported [45e47]. However, macroscopic ampacity measurement of millimeter-scale CNTs has not been reported. This study is the first to report on the ampacity of the macroscale continuous CNTs and it could contribute to the practical applications of the CNT wires in the future. Under the high electrical current, CNTs can be heated and evaporated, especially at the crystal defects (i.e. higher resistance) due to Joule heating. Therefore, it is consistent that the ampacity of the CNT bundles herein with the long measurement length of 10 mm was significantly lower than that obtained by the microscopic measurement, because the number of defects increased. In addition, Kuroda et al. predicted that the CNT ampacity decreases drastically as the length increases [48], because the heat dissipation becomes worse for longer CNTs. Recently, a neat p-doped CNT yarn with high specific conductivity of 2.6 104 S cm2 g1 has been reported with a scaled ampacity of 1.6 104 A cm2 [49]. Compared with this report, the CNT bundles herein have a higher ampacity but an inferior specific conductivity, possibly due to the high heat dissipation performance by the continuous crystallinity. 4. Conclusions A breakthrough method for growing a 14-cm-long CNT forest with an average growth rate of 1.5 mm s1 and a growth lifetime of 26 h was developed. Several important factors such as the catalyst conditions, the CVD conditions, and the reactor system were clarified. It was found that the combination of the catalyst system of Fe/ Gd/Al2Ox and the in situ supplements of Fe and Al vapor sources at very low concentrations was crucially important for the long growth. The cold-gas CVD apparatus was also shown to play an important role in suppressing unnecessary reactions and depositions on the CNT forests. The long CNT forests enabled a detailed investigation of the tensile and electrical properties of the CNTs at different growth periods through macroscopic measurements. Several important insights, such as position dependence and the governing factors for these properties, were obtained from the measurements. These results will pave the way for developing industrial applications of the CNTs in the future. CRediT authorship contribution statement Hisashi Sugime: Conceptualization, Validation, Formal analysis, Investigation, Writing - original draft, Writing - review & editing, Supervision, Project administration, Funding acquisition. Toshihiro Sato: Validation, Formal analysis, Investigation, Writing - review & editing. Rei Nakagawa: Validation, Formal analysis, Investigation, Writing - review & editing. Tatsuhiro Hayashi: Validation, Formal analysis, Investigation, Writing - review & editing. Yoku Inoue: Validation, Formal analysis, Writing - original draft, Writing - review & editing. Suguru Noda: Validation, Writing - review & editing. Declaration of competing interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. Acknowledgements This work was supported by JSPS KAKENHI Grant Number 19K22090. The authors thank S. Enomoto at Kagami Memorial Research Institute for Materials Science and Technology, Waseda University for TEM observation. The authors also thank B. Chen of Noda-Hanada lab at Waseda University for TG-DTA data acquisition. Appendix A. Supplementary data Supplementary data to this article can be found online at https://doi.org/10.1016/j.carbon.2020.10.066. References [1] S. Iijima, Helical microtubules of graphitic carbon, Nature 354 (6348) (1991) 56e58. 779 H. Sugime, T. Sato, R. Nakagawa et al. Carbon 172 (2021) 772e780 [2] H.J. Dai, A.G. Rinzler, P. Nikolaev, A. Thess, D.T. Colbert, R.E. 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