Single-Handed Helical Polybissilsesquioxane Nanotubes and Mesoporous Nanofibers Prepared by an External Templating Approach Using Low-Molecular-Weight Gelators

Chiral low-molecular-weight gelators (LMWGs) derived from amino acids can self-assemble into helical fibers and twisted/coiled nanoribbons by H-bonding and π–π interaction. Silica nanotubes with single-handed helices have been prepared using chiral LMWGs through sol–gel transcription. Molecular-scale chirality exists at the inner surfaces. Here, we discuss single-handed helical aromatic ring-bridged polybissilsesquioxane nanotubes and mesoporous nanofibers prepared using chiral LMWGs. This review aims at describing the formation mechanisms of the helical nanostructures, the origination of optical activity, and the applications for other helical nanomaterial preparation, mainly based on our group’s results. The morphology and handedness can be controlled by changing the chirality and kinds of LMWGs and tuning the reaction conditions. The aromatic rings arrange in a partially crystalline structure. The optical activity of the polybissilsesquioxane nanotubes and mesoporous nanofibers originates from chiral defects, including stacking and twisting of aromatic groups, on the inner surfaces. They can be used as the starting materials for preparation of silica, silicon, carbonaceous, silica/carbon, and silicon carbide nanotubes.


Single-Handed Helical Mesoporous Nanofibers
The chiral cationic LMWGs shown in Figure 1 can self-assemble into helical nanofibers or twisted nanoribbons in deionized water or ethanol [45][46][47][48][49][50][51]. Single-handed helical mesoporous polybissilsesquioxane nanofibers, including methylene-, 1,2-ethylene-, 1,2-ethenylene-, 1,4-phenylene-, and 4,4 -biphenylene-bridged nanofibers, have been successfully prepared by sol-gel polymerization using these chiral cationic LMWGs. HCl, NaOH, and ammonium hydroxide are usually used as the catalysts. When the reactions are carried out under acid conditions, sponge-like materials are obtained ( Figure 2) [45,46]. The fibrous structure is visible to the naked eye when they are suspended in methanol. Right-handed helical mesoporous 1,4-phenylene-bridged polybissilsesquioxane bundles have been synthesized using 1 or DD-2. Left-handed helical 1,4-phenylene-, 1,3-phenylene-, 1,2-ethylene-, and 1,2-ethenylene-bridged polybissilsesquioxane bundles have also been prepared using LL-2. These helical bundles can be aligned under shear flow. The pore channels are coiled around the long axes of the nanofibers and do not arrange in a periodic fashion. The mesoporous bundles exhibit nitrogen Brunauer-Emmett-Teller surface areas larger than 500 m 2 /g, and they seem to be a suitable material for catalyst support applications. The X-ray diffraction patterns indicate that 1,4-phenylene-bridged polybissilsesquioxanes synthesized using HCl as the catalyst do not have high molecular-scale periodicity [46,60]. When the reactions are carried out under basic conditions, powders are usually obtained. For example, right-handed twisted 4,4 -biphenylene-bridged mesoporous nanoribbons have been prepared using the self-assemblies of 3 as the template and NaOH as the catalyst [50]. The X-ray diffraction patterns typically show peaks at 2θ = 7.46 • , 14.76 • , 21.09 • , 30.83 • , and 38.00 • , indicating a lamellar structure [61]. The smallest repeat units of the samples arrange with a high degree of order.
The formation and alignment of the mesoporous polybissilsesquioxane bundles occurs as follows: first, helical gel bundles are constructed by self-assembly of LMWGs and they align under shearing; second, polybissilsesquioxane oligomers penetrate into the gel bundles and adsorb on the surfaces of the helical single-strand gel fibers as a result of electrostatic interactions; third, sol-gel polymerization of the polybissilsesquioxane oligomers occurs; finally, after removing the templates, aligned single-handed helical polybissilsesquioxane mesoporous bundles are obtained. The pore channels should be inner helical and their length can reach 100 µm. Because the handedness of polybissilsesquioxane nanofibers can be controlled using chiral LMWGs and the periodic arrangement of the pore channels can be controlled using achiral surfactants, it is preferable to synthesize chiral compounds that can control both handedness and pore arrangement. When sol-gel transcriptions are performed using L-or D-4, single-handed helical 1,4-phenylene-bridged polybissilsesquioxane nanorods are obtained ( Figure 3) [50]. Both the transmission electron microscopy (TEM) images and X-ray diffraction (XRD) patterns indicate a two-dimensional hexagonal symmetry (p6mm). The formation of the hexagonal structure has been investigated by taking field-emission scanning electron microscopy (FESEM) images after different reaction times. After 1,4-phenylene-bridged bis(silsesquioxane) drops into the reaction mixture, D-4 and the hybrid silica oligomers coassemble into right-handed helical bundles. With increasing reaction time, hexagonal rods form. Apparently, this structural transition drives formation of single-handed nanorods with periodic mesopores. Based on this structural transition, an artificial frustule has also been prepared [62]. Because the handedness of polybissilsesquioxane nanofibers can be controlled using chiral LMWGs and the periodic arrangement of the pore channels can be controlled using achiral surfactants, it is preferable to synthesize chiral compounds that can control both handedness and pore arrangement. When sol-gel transcriptions are performed using L-or D-4, single-handed helical 1,4-phenylene-bridged polybissilsesquioxane nanorods are obtained ( Figure 3) [50]. Both the transmission electron microscopy (TEM) images and X-ray diffraction (XRD) patterns indicate a two-dimensional hexagonal symmetry (p6mm). The formation of the hexagonal structure has been investigated by taking field-emission scanning electron microscopy (FESEM) images after different reaction times. After 1,4-phenylene-bridged bis(silsesquioxane) drops into the reaction mixture, D-4 and the hybrid silica oligomers coassemble into right-handed helical bundles. With increasing reaction time, hexagonal rods form. Apparently, this structural transition drives formation of single-handed nanorods with periodic mesopores. Based on this structural transition, an artificial frustule has also been prepared [62].

Single-Handed Helical Nanotubes
Single-handed helical polybissilsesquioxane tubular nanoribbons and nanotubes have also been prepared using chiral cationic LMWGs [47][48][49]. Generally, the transcriptions were performed in ethanol or a mixture of ethanol and water. Under these conditions, the hydrolysis speed of bis(silsesquioxane) is slow. Formation of the tubular structures can be described as follows. Firstly, helical one-dimensional nanostructures are constructed by the chiral LMWGs in the reaction mixture; secondly, the bis(silsesquioxane) molecules hydrolyze and the formed polybissilsesquioxane oligomers adsorb and polymerize on the surface of the gel fibers; finally, after removing the templates, polybissilsesquioxane nanotubes are obtained. Aromatic ring-bridged polybissilsesquioxane nanotubes have been synthesized in ethanol using compounds LL-7, DD-7, LL-8, and DD-8 ( Figure 4) [47,48]. Right-handed helical nanotubes composed of double-coiled nanoribbons have been prepared using 8 in a mixture of ethanol and water [49].

Single-Handed Helical Nanotubes
Single-handed helical polybissilsesquioxane tubular nanoribbons and nanotubes have also been prepared using chiral cationic LMWGs [47][48][49]. Generally, the transcriptions were performed in ethanol or a mixture of ethanol and water. Under these conditions, the hydrolysis speed of bis(silsesquioxane) is slow. Formation of the tubular structures can be described as follows. Firstly, helical one-dimensional nanostructures are constructed by the chiral LMWGs in the reaction mixture; secondly, the bis(silsesquioxane) molecules hydrolyze and the formed polybissilsesquioxane oligomers adsorb and polymerize on the surface of the gel fibers; finally, after removing the templates, polybissilsesquioxane nanotubes are obtained. Aromatic ring-bridged polybissilsesquioxane nanotubes have been synthesized in ethanol using compounds LL-7, DD-7, LL-8, and DD-8 ( Figure 4) [47,48]. Right-handed helical nanotubes composed of double-coiled nanoribbons have been prepared using 8 in a mixture of ethanol and water [49]. For sol-gel transcriptions using anionic LMWGs, addition of co-structure-directing agents is essential [52][53][54][55][56][57][58][59]. The co-structure-directing agents link the anionic self-assemblies by electrostatic interactions and H-bonding, and the bridged silsesquioxanes by covalent bonding. A cooperation self-assembly mechanism was proposed. For example, the morphologies of the self-assemblies of anionic gelator 9 change with addition of 3-aminopropyltrimethoxysilane (APTMS) ( Figure 5) [52]. Before addition of APTMS and 1,4-phenylene-bridged bis(silsesquioxane), only nanospheres are identified (Figure 5a). Twisted nanoribbons are then identified at 90 s ( Figure 5b). The change of the morphology is due to interactions between gelator 9 and APTMS. Up to now, single-handed helical nanotubes and coiled/twisted tubular nanoribbons have been prepared using anionic LMWGs with the addition of a co-structure-directing agent. For sol-gel transcriptions using anionic LMWGs, addition of co-structure-directing agents is essential [52][53][54][55][56][57][58][59]. The co-structure-directing agents link the anionic self-assemblies by electrostatic interactions and H-bonding, and the bridged silsesquioxanes by covalent bonding. A cooperation self-assembly mechanism was proposed. For example, the morphologies of the self-assemblies of anionic gelator 9 change with addition of 3-aminopropyltrimethoxysilane (APTMS) ( Figure 5) [52]. Before addition of APTMS and 1,4-phenylene-bridged bis(silsesquioxane), only nanospheres are identified (Figure 5a). Twisted nanoribbons are then identified at 90 s ( Figure 5b). The change of the morphology is due to interactions between gelator 9 and APTMS. Up to now, single-handed helical nanotubes and coiled/twisted tubular nanoribbons have been prepared using anionic LMWGs with the addition of a co-structure-directing agent. This cooperation self-assembly process is also found in other sol-gel transcriptions. Although the morphologies of the L-10 and D-10 self-assemblies are not sensitive to the surrounding conditions (including the pH value, concentration, and ethanol/water volume ratio), handedness inversion of the 4,4′-biphenylene-bridged polybissilsesquioxane nanostructures is found by tuning these conditions [55,59]. Namely, the handedness inversion is driven by cooperation self-assembly. For example, left-handed twisted nanotubes were obtained using D-10 at pH = 8.05 and a concentration of 5.0 g·L −1 . However, right-handed twisted nanoribbons were obtained at pH = 11.93 and a concentration of 5.0 g·L −1 ; and right-handed twisted nanotubes were obtained at pH = 9.89 and a concentration of 10.0 g·L −1 [55]. When the ethanol/water volume ratio decreases from 1.8/2.2 to 1.5/2.5, polybissilsesquioxanes with opposite handedness are obtained [59]. Not only aromatic ring-bridged polybissilsesquioxane nanotubes, but also ethylene-, ethenylene-, and methylene-bridged ones can be prepared using 11, indicating that this approach is powerful to control the morphologies of bridged polybissilsesquioxanes [57]. Single-handed twisted nanoribbons have also been prepared using the 14 dipeptide in a mixture of ethanol and water under a basic condition. After carbonization and silica removal, single-handed twisted carbonaceous tubular nanoribbons with optical activity were obtained [58].
Formation of polybissilsesquioxane nanotubes and mesoporous nanofibers prepared by this external templating approach is summarized in Figure 6. For the preparation of mesoporous nanofibers ( Figure 6, Routes A-C), the reactions are usually carried out in water [1]. Under this condition, the rate of hydrolysis of the bis(silsesquioxane) is rapid. The bis(silsesquioxane) oligomers penetrate into the organic self-assemblies and adsorb on the surfaces of single gel fibers. Due to the interactions between LMWG molecule and bis(silsesquioxane) oligomer, the morphologies of the hybrids might change during this step. Mesoporous structures form after the templates are removed. For the preparation of nanotubes and double-twisted nanoribbons ( Figure 6, Routes D-G), the reactions are usually carried out in alcohols or a mixture of alcohol and water [47,49]. Under these conditions, the rate of hydrolysis of the bis(silsesquioxane) is slow, and the bis(silsesquioxane) oligomers adsorb on the surfaces of the thick gel nanofibers or nanoribbons. Finally, tubular structures are obtained after the templates are removed. Namely, the hydrolysis rate of bis(silsesquioxane) plays an important role in controlling the tubular and mesoporous structures. This cooperation self-assembly process is also found in other sol-gel transcriptions. Although the morphologies of the L-10 and D-10 self-assemblies are not sensitive to the surrounding conditions (including the pH value, concentration, and ethanol/water volume ratio), handedness inversion of the 4,4 -biphenylene-bridged polybissilsesquioxane nanostructures is found by tuning these conditions [55,59]. Namely, the handedness inversion is driven by cooperation self-assembly. For example, left-handed twisted nanotubes were obtained using D-10 at pH = 8.05 and a concentration of 5.0 g·L −1 . However, right-handed twisted nanoribbons were obtained at pH = 11.93 and a concentration of 5.0 g·L −1 ; and right-handed twisted nanotubes were obtained at pH = 9.89 and a concentration of 10.0 g·L −1 [55]. When the ethanol/water volume ratio decreases from 1.8/2.2 to 1.5/2.5, polybissilsesquioxanes with opposite handedness are obtained [59]. Not only aromatic ring-bridged polybissilsesquioxane nanotubes, but also ethylene-, ethenylene-, and methylene-bridged ones can be prepared using 11, indicating that this approach is powerful to control the morphologies of bridged polybissilsesquioxanes [57]. Single-handed twisted nanoribbons have also been prepared using the 14 dipeptide in a mixture of ethanol and water under a basic condition. After carbonization and silica removal, single-handed twisted carbonaceous tubular nanoribbons with optical activity were obtained [58].
Formation of polybissilsesquioxane nanotubes and mesoporous nanofibers prepared by this external templating approach is summarized in Figure 6. For the preparation of mesoporous nanofibers ( Figure 6, Routes A-C), the reactions are usually carried out in water [45]. Under this condition, the rate of hydrolysis of the bis(silsesquioxane) is rapid. The bis(silsesquioxane) oligomers penetrate into the organic self-assemblies and adsorb on the surfaces of single gel fibers. Due to the interactions between LMWG molecule and bis(silsesquioxane) oligomer, the morphologies of the hybrids might change during this step. Mesoporous structures form after the templates are removed. For the preparation of nanotubes and double-twisted nanoribbons ( Figure 6, Routes D-G), the reactions are usually carried out in alcohols or a mixture of alcohol and water [47,49]. Under these conditions, the rate of hydrolysis of the bis(silsesquioxane) is slow, and the bis(silsesquioxane) oligomers adsorb on the surfaces of the thick gel nanofibers or nanoribbons. Finally, tubular structures are obtained after the templates are removed. Namely, the hydrolysis rate of bis(silsesquioxane) plays an important role in controlling the tubular and mesoporous structures.

Optical Activity of the Aromatic Ring-Bridged Polybissilsesquioxanes
Because aromatic compounds are UV-active, the optical activity of the aromatic ring-bridged polybissilsesquioxanes can be characterized by circular dichroism (CD) and diffuse reflectance CD (DRCD). The CD spectra are usually taken in water or ethanol in suspension states. The optical activity should originate from chiral defects. For example, 4,4′-biphenylene-bridged polybissilsesquioxane tubular nanoribbons prepared using D-10 and L-10 exhibit optical activity [59]. When they shrink to form nanoribbons, the inner surfaces merge. Because the chiral defects are partially destroyed, the intensity of the CD signals decreases. For a better understanding of the origin of the CD signals, the CD spectra of 4,4′-biphenylene-bridged bis(silsesquioxane) and 1,4-phenylene-bridged bis(silsesquioxane) dimers have been simulated.
Time-dependent density functional theory (TD-DFT) at the B3LYP/6-311++G** level has been used to calculate the CD spectrum of the 1,4-phenylene-bridged bis(silsesquioxane) dimer (Figure 7) [51]. When the phenylene groups stack in a right-handed fashion, a positive signal at 260 nm and a negative one at 235 nm are present in the simulated CD spectrum. Electron transfer between the phenylene groups is found. Although the signal at 260 nm is not usually observed in the experimental data, the signal at 235 is strong enough to be observed [51]. The stacking handedness can be determined from the sign of this signal. The relationship between the chirality of 1,4-phenylene-bridged polybissilsesquioxanes at the nanoscale and molecular-scale can be fully understood based on the results of FESEM and CD characterization. Although left-handed coiled 1,4-phenylene-bridged polybissilsesquioxane nanoribbons have been prepared using L-6 and 13, they exhibit the opposite optical activity [51]. The results indicated that there is no strong relationship between the chirality at the angstrom level and the handedness at the nanolevel.

Optical Activity of the Aromatic Ring-Bridged Polybissilsesquioxanes
Because aromatic compounds are UV-active, the optical activity of the aromatic ring-bridged polybissilsesquioxanes can be characterized by circular dichroism (CD) and diffuse reflectance CD (DRCD). The CD spectra are usually taken in water or ethanol in suspension states. The optical activity should originate from chiral defects. For example, 4,4 -biphenylene-bridged polybissilsesquioxane tubular nanoribbons prepared using D-10 and L-10 exhibit optical activity [59]. When they shrink to form nanoribbons, the inner surfaces merge. Because the chiral defects are partially destroyed, the intensity of the CD signals decreases. For a better understanding of the origin of the CD signals, the CD spectra of 4,4 -biphenylene-bridged bis(silsesquioxane) and 1,4-phenylene-bridged bis(silsesquioxane) dimers have been simulated.
Time-dependent density functional theory (TD-DFT) at the B3LYP/6-311++G** level has been used to calculate the CD spectrum of the 1,4-phenylene-bridged bis(silsesquioxane) dimer (Figure 7) [51]. When the phenylene groups stack in a right-handed fashion, a positive signal at 260 nm and a negative one at 235 nm are present in the simulated CD spectrum. Electron transfer between the phenylene groups is found. Although the signal at 260 nm is not usually observed in the experimental data, the signal at 235 is strong enough to be observed [51]. The stacking handedness can be determined from the sign of this signal. The relationship between the chirality of 1,4-phenylene-bridged polybissilsesquioxanes at the nanoscale and molecular-scale can be fully understood based on the results of FESEM and CD characterization. Although left-handed coiled 1,4-phenylene-bridged polybissilsesquioxane nanoribbons have been prepared using L-6 and 13, they exhibit the opposite optical activity [51]. The results indicated that there is no strong relationship between the chirality at the angstrom level and the handedness at the nanolevel.

Optical Activity of the Aromatic Ring-Bridged Polybissilsesquioxanes
Because aromatic compounds are UV-active, the optical activity of the aromatic ring-bridged polybissilsesquioxanes can be characterized by circular dichroism (CD) and diffuse reflectance CD (DRCD). The CD spectra are usually taken in water or ethanol in suspension states. The optical activity should originate from chiral defects. For example, 4,4′-biphenylene-bridged polybissilsesquioxane tubular nanoribbons prepared using D-10 and L-10 exhibit optical activity [59]. When they shrink to form nanoribbons, the inner surfaces merge. Because the chiral defects are partially destroyed, the intensity of the CD signals decreases. For a better understanding of the origin of the CD signals, the CD spectra of 4,4′-biphenylene-bridged bis(silsesquioxane) and 1,4-phenylene-bridged bis(silsesquioxane) dimers have been simulated.
Time-dependent density functional theory (TD-DFT) at the B3LYP/6-311++G** level has been used to calculate the CD spectrum of the 1,4-phenylene-bridged bis(silsesquioxane) dimer (Figure 7) [51]. When the phenylene groups stack in a right-handed fashion, a positive signal at 260 nm and a negative one at 235 nm are present in the simulated CD spectrum. Electron transfer between the phenylene groups is found. Although the signal at 260 nm is not usually observed in the experimental data, the signal at 235 is strong enough to be observed [51]. The stacking handedness can be determined from the sign of this signal. The relationship between the chirality of 1,4-phenylene-bridged polybissilsesquioxanes at the nanoscale and molecular-scale can be fully understood based on the results of FESEM and CD characterization. Although left-handed coiled 1,4-phenylene-bridged polybissilsesquioxane nanoribbons have been prepared using L-6 and 13, they exhibit the opposite optical activity [51]. The results indicated that there is no strong relationship between the chirality at the angstrom level and the handedness at the nanolevel. Biphenyls typically exhibit a twisted conformation, with twisting angles of about 30 • -45 • . The CD spectrum of the 4,4 -biphenylene-bridged bis(silsesquioxane) dimer has been also simulated ( Figure 8). The simulated CD signals are present at 319 and 278 nm [49]. If the biphenyl groups stack in right-handedness, the CD signal at 319 nm is positive. If the biphenyl group twists in right-handedness, the CD signal at 278 nm is negative. The simulated CD spectrum is similar as the experimental one [44]. When the distance between neighbor biphenyl groups increases, the CD signals shift to short wavelength. Because biphenyl typically exhibits a twisted conformation and the handedness of the conformation can be revealed by CD spectroscopy, it can be used as a chirality sensor for silicas to reveal the chirality at the angstrom level [49,63]. Biphenyls typically exhibit a twisted conformation, with twisting angles of about 30°-45°. The CD spectrum of the 4,4′-biphenylene-bridged bis(silsesquioxane) dimer has been also simulated ( Figure 8). The simulated CD signals are present at 319 and 278 nm [49]. If the biphenyl groups stack in right-handedness, the CD signal at 319 nm is positive. If the biphenyl group twists in right-handedness, the CD signal at 278 nm is negative. The simulated CD spectrum is similar as the experimental one [45]. When the distance between neighbor biphenyl groups increases, the CD signals shift to short wavelength. Because biphenyl typically exhibits a twisted conformation and the handedness of the conformation can be revealed by CD spectroscopy, it can be used as a chirality sensor for silicas to reveal the chirality at the angstrom level [49,63].

TEM, XRD, and N2 Sorption Characterizations
The handedness and helical pitch of the single-handed helical structures can be identified using FESEM and electron tomography [64]. The pore architectures are characterized using TEM. For the helical nanofibers, the pore channels are coiled around the long axes (Figure 2d). For the hexagonal rods, the pore channels arrange in a two-dimensional hexagonal structure (Figure 3b,d). Lattice fringes are found in the TEM images of the helically hexagonal rods [50]. The periodicity of the pore channels can be also identified using XRD. For the helical nanofibers, the pore channels do not arrange in a high degree of order. Only one broad diffraction peak is identified in the small angle [46]. When the pore channels arrange in a two-dimensional hexagonal structure, three diffraction peaks are identified at the small angle [50]. The XRD patterns of the aromatic ring-bridged polybissilsesquioxanes usually show several peaks at wide angle, which originate from the lamellar packing of the smallest repeat units and the π-π stacking of the aromatic rings [49,50]. The N2 sorption plots of the mesoporous polybissilsesquioxanes usually show typical IV isotherms, indicating rodlike pore channels [50]. The pore diameters are usually about 2-4 nm.

Other Nanotubes Prepared Using LMWGs
Single-handed helical platinum [65], Ta2O5 [20,21], TiO2 [20,22], ZrO2 [23], and CdS [24] nanotubes or tubular nanoribbons have been prepared using sol-gel transcription. The formation mechanism is similar to that of polybissilsesquioxane nanotubes. Although single-handed twisted platinum and palladium tubular nanoribbons can be prepared using LL-5 and DD-5, gold and silver tubular nanoribbons cannot be obtained. The interactions between the metal ion and the amide group of the gelator have been suggested to drive this structural transcription. All of these single-handed twisted platinum and palladium tubular nanoribbons exhibit optical activity. Based on TD-DFT calculations, the optical activity of these nanotubes has been suggested to originate from chiral defects. The TiO2 nanotube could be used as an asymmetric catalyst. The tube should exhibit chirality at the angstrom

TEM, XRD, and N 2 Sorption Characterizations
The handedness and helical pitch of the single-handed helical structures can be identified using FESEM and electron tomography [64]. The pore architectures are characterized using TEM. For the helical nanofibers, the pore channels are coiled around the long axes (Figure 2d). For the hexagonal rods, the pore channels arrange in a two-dimensional hexagonal structure (Figure 3b,d). Lattice fringes are found in the TEM images of the helically hexagonal rods [50]. The periodicity of the pore channels can be also identified using XRD. For the helical nanofibers, the pore channels do not arrange in a high degree of order. Only one broad diffraction peak is identified in the small angle [46]. When the pore channels arrange in a two-dimensional hexagonal structure, three diffraction peaks are identified at the small angle [50]. The XRD patterns of the aromatic ring-bridged polybissilsesquioxanes usually show several peaks at wide angle, which originate from the lamellar packing of the smallest repeat units and the π-π stacking of the aromatic rings [49,50]. The N 2 sorption plots of the mesoporous polybissilsesquioxanes usually show typical IV isotherms, indicating rodlike pore channels [50]. The pore diameters are usually about 2-4 nm.

Other Nanotubes Prepared Using LMWGs
Single-handed helical platinum [65], Ta 2 O 5 [19,20], TiO 2 [19,21], ZrO 2 [22], and CdS [23] nanotubes or tubular nanoribbons have been prepared using sol-gel transcription. The formation mechanism is similar to that of polybissilsesquioxane nanotubes. Although single-handed twisted platinum and palladium tubular nanoribbons can be prepared using LL-5 and DD-5, gold and silver tubular nanoribbons cannot be obtained. The interactions between the metal ion and the amide group of the gelator have been suggested to drive this structural transcription. All of these single-handed twisted platinum and palladium tubular nanoribbons exhibit optical activity. Based on TD-DFT calculations, the optical activity of these nanotubes has been suggested to originate from chiral defects. The TiO 2 nanotube could be used as an asymmetric catalyst. The tube should exhibit chirality at the angstrom level [66]. Moreover, although the Ta 2 O 5 nanotubes prepared using L-12 and D-12 are straight, they also exhibit optical activity. The results indicate that the optical activity does not have a Gels 2017, 3, 2 9 of 12 strong relationship with the morphology. Organic polymer nanotubes have been also prepared by this approach. Both 3-aminophenol-formaldehyde and 1,3-diamniobenzene-formaldehyde resin nanotubes have been prepared [24]. N-doped carbonaceous nanotubes are obtained by carbonization. Based on TD-DFT calculations, the optical activity is suggested to originate from π-π stacking of the aromatic compounds formed by carbonization.

Summary and Outlook
Polybissilsesquioxane nanotubes and mesoporous nanofibers with single-handed helices have been synthesized using self-assemblies of chiral LMWGs as external templates through an external templating approach. They form by a hard templating or cooperation self-assembly process. Because the self-assembly structures of the LMWGs are sensitive to pH value, temperature, and polarity of solvents, both the handedness and the pore architecture of polybissilsesquioxanes can be controlled by tuning the reaction conditions. The optical activity of aromatic ring-bridged polybissilsesquioxanes has been suggested to originate from the π-π stacking and the chiral conformation of aromatic groups. There is no strong relationship between the handedness at the nanolevel and the chirality at the angstrom level. Chiral defects should exist on the inner surfaces of the nanotubes or pore channels. These chiral polybissilsesquioxanes can potentially be used as a chiral stationary phase for enantioseparation. Moreover, carbonaceous and SiC nanotubes can be prepared by carbonization and carbothermal reduction of polybissilsesquioxane nanotubes, respectively. Based on this external templating approach, single-handed helical metal, metal oxide, metal sulfide, and organic polymeric nanotubes can also be prepared. Based on cooperation self-assembly mechanisms, a variety of architectures can be formed, such as artificial frustules and hexagonal rods. Therefore, external templating is a powerful approach for controlling the morphology and pore architecture of nanomaterials.