US20080217588A1 - Monodisperse single-walled carbon nanotube populations and related methods for providing same - Google Patents

Monodisperse single-walled carbon nanotube populations and related methods for providing same Download PDF

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US20080217588A1
US20080217588A1 US11/897,129 US89712907A US2008217588A1 US 20080217588 A1 US20080217588 A1 US 20080217588A1 US 89712907 A US89712907 A US 89712907A US 2008217588 A1 US2008217588 A1 US 2008217588A1
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swnts
carbon nanotubes
walled carbon
separation
semiconducting
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Michael S. Arnold
Mark C. Hersam
Samuel I. Stupp
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Northwestern University
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Assigned to NATIONAL SCIENCE FOUNDATION reassignment NATIONAL SCIENCE FOUNDATION CONFIRMATORY LICENSE (SEE DOCUMENT FOR DETAILS). Assignors: NORTHWESTERN UNIVERSITY
Priority to US12/959,990 priority patent/US9926195B2/en
Priority to US15/903,661 priority patent/US10689252B2/en
Priority to US16/904,914 priority patent/US11608269B2/en
Priority to US18/167,244 priority patent/US20240025748A1/en
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    • C—CHEMISTRY; METALLURGY
    • C01—INORGANIC CHEMISTRY
    • C01B—NON-METALLIC ELEMENTS; COMPOUNDS THEREOF; METALLOIDS OR COMPOUNDS THEREOF NOT COVERED BY SUBCLASS C01C
    • C01B32/00—Carbon; Compounds thereof
    • C01B32/15—Nano-sized carbon materials
    • C01B32/158—Carbon nanotubes
    • C01B32/168—After-treatment
    • C01B32/172—Sorting
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B82—NANOTECHNOLOGY
    • B82B—NANOSTRUCTURES FORMED BY MANIPULATION OF INDIVIDUAL ATOMS, MOLECULES, OR LIMITED COLLECTIONS OF ATOMS OR MOLECULES AS DISCRETE UNITS; MANUFACTURE OR TREATMENT THEREOF
    • B82B1/00—Nanostructures formed by manipulation of individual atoms or molecules, or limited collections of atoms or molecules as discrete units
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B82—NANOTECHNOLOGY
    • B82Y—SPECIFIC USES OR APPLICATIONS OF NANOSTRUCTURES; MEASUREMENT OR ANALYSIS OF NANOSTRUCTURES; MANUFACTURE OR TREATMENT OF NANOSTRUCTURES
    • B82Y30/00—Nanotechnology for materials or surface science, e.g. nanocomposites
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B82—NANOTECHNOLOGY
    • B82Y—SPECIFIC USES OR APPLICATIONS OF NANOSTRUCTURES; MEASUREMENT OR ANALYSIS OF NANOSTRUCTURES; MANUFACTURE OR TREATMENT OF NANOSTRUCTURES
    • B82Y40/00—Manufacture or treatment of nanostructures
    • C—CHEMISTRY; METALLURGY
    • C01—INORGANIC CHEMISTRY
    • C01B—NON-METALLIC ELEMENTS; COMPOUNDS THEREOF; METALLOIDS OR COMPOUNDS THEREOF NOT COVERED BY SUBCLASS C01C
    • C01B2202/00—Structure or properties of carbon nanotubes
    • C01B2202/02—Single-walled nanotubes
    • C—CHEMISTRY; METALLURGY
    • C01—INORGANIC CHEMISTRY
    • C01B—NON-METALLIC ELEMENTS; COMPOUNDS THEREOF; METALLOIDS OR COMPOUNDS THEREOF NOT COVERED BY SUBCLASS C01C
    • C01B2202/00—Structure or properties of carbon nanotubes
    • C01B2202/20—Nanotubes characterized by their properties
    • C01B2202/22—Electronic properties
    • C—CHEMISTRY; METALLURGY
    • C01—INORGANIC CHEMISTRY
    • C01B—NON-METALLIC ELEMENTS; COMPOUNDS THEREOF; METALLOIDS OR COMPOUNDS THEREOF NOT COVERED BY SUBCLASS C01C
    • C01B2202/00—Structure or properties of carbon nanotubes
    • C01B2202/20—Nanotubes characterized by their properties
    • C01B2202/36—Diameter

Definitions

  • Carbon nanotubes have recently received extensive attention due to their nanoscale dimensions and outstanding materials properties such as ballistic electronic conduction, immunity from electromigration effects at high current densities, and transparent conduction.
  • materials properties such as ballistic electronic conduction, immunity from electromigration effects at high current densities, and transparent conduction.
  • as-synthesized carbon nanotubes vary in their diameter and chiral angle, and these physical variations result in striking changes in their electronic and optical behaviors.
  • SWNTs single-walled carbon nanotubes
  • the band gap of semiconducting SWNTs scales inversely with tube diameter.
  • SWNTs produced by the laser-ablation method range from about 11 ⁇ to about 16 ⁇ in diameter and have optical band gaps that vary from about 0.65 eV to about 0.95 eV.
  • the unavoidable structural heterogeneity of the currently available as-synthesized SWNTs prevents their widespread application as high-performance field-effect transistors, optoelectronic near-infrared emitters/detectors, chemical sensors, materials for interconnects in integrated circuits, and conductive additives in composites. Accordingly, the utilization of SWNTs will be limited until large quantities of monodisperse SWNTs can be produced or otherwise obtained.
  • SWNT purification methods While several SWNT purification methods have been recently demonstrated, no pre-existing technique has been reported that simultaneously achieves diameter and band gap selectivity over a wide range of diameters and band gaps, electronic type (metal versus semiconductor) selectivity, and scalability. Furthermore, most techniques are limited in effectiveness, and many are only sensitive to SWNTs that are less than about 11 ⁇ in diameter. This is a significant limitation because the SWNTs that are most important for electronic devices are generally ones that are larger in diameter, since these form less resistive contacts (i.e. reduced Schottky barriers). The methods of dielectrophoresis and controlled electrical breakdown are both limited in scalability and are only sensitive to electronic type (not diameter or band gap).
  • the present teachings also relate to one or more methods and/or systems that can be used to separate structurally and/or characteristically heterogeneous carbon nanotubes, thereby addressing various deficiencies and shortcomings of the prior art, including those outlined above.
  • the present teachings are directed to a method of using a density gradient to separate single-walled carbon nanotubes, wherein the density gradient is provided by a fluid medium.
  • a method can include centrifuging a fluid medium including a density gradient and a composition including a first surface active component, a second surface active component and a mixture of single-walled carbon nanotubes to separate the mixture along the density gradient, and isolating from the fluid medium a separation fraction that includes separated single-walled carbon nanotubes.
  • the mixture of single-walled carbon nanotubes can include a range of nanotube diameter dimensions, chiralities and/or electronic types, and the ratio of the first surface active component to the second surface active component can be other than 4:1.
  • isolating a separation fraction typically provides complex(es) formed by the surface active component(s) and the mixture of single-walled carbon nanotubes where post-isolation treatment, e.g., removing the surface active component(s) from the SWNTs such as by washing, dialysis and/or filtration, can provide substantially pure or bare single-walled carbon nanotubes.
  • the first surface active component can be a bile salt and the second surface active component can be an anionic alkyl amphiphile.
  • the fluid medium and the composition can be centrifuged for a time and/or at a rotational rate sufficient to at least partially separate the mixture along the density gradient.
  • Such a method is without limitation as to separation by nanotube diameter dimensions, chiralities and/or electronic type.
  • single-walled carbon nanotubes in the mixture can independently have diameter dimensions up to about 20 ⁇ or more. In certain embodiments, dimensions can range from about 7 ⁇ to about 11 ⁇ , while in certain other embodiments, dimensions can be greater than about 11 ⁇ (for example, ranging from about 11 ⁇ to about 16 ⁇ ).
  • narrow distributions of separated single-walled carbon nanotubes can be provided in the separation fraction and subsequently isolated.
  • greater than about 70% of the separated single-walled carbon nanotubes can be semiconducting.
  • greater than about 50% of the separated single-walled carbon nanotubes can be metallic.
  • the method can include post-isolation treatment of the separated single-walled carbon nanotubes to provide bare single-walled carbon nanotubes.
  • the method can further include repeating the centrifuging and isolating steps using the separation fraction.
  • the present teachings also are directed to a method of using a density gradient to separate single-walled carbon nanotubes based on electronic type, wherein the density gradient is provided by a fluid medium.
  • a method can include centrifuging a fluid medium including a density gradient and a composition including a mixture of single-walled carbon nanotubes (including both semiconducting single-walled carbon nanotubes and metallic single-walled carbon nanotubes) and at least two surface active components (e.g., a first surface active component and a second surface active component) to separate the mixture along the density gradient, and isolating from the fluid medium a substantially semiconducting separation fraction or a substantially metallic separation fraction.
  • a substantially semiconducting separation fraction refers to a separation fraction that includes a majority of or a high concentration or percentage of semiconducting single-walled carbon nanotubes.
  • the substantially semiconducting separation fraction can include a higher concentration or percentage of semiconducting single-walled carbon nanotubes than the mixture.
  • a substantially metallic separation fraction refers to a separation fraction that includes a majority of or a high concentration or percentage of metallic single-walled carbon nanotubes.
  • the substantially metallic separation fraction can include a higher concentration or percentage of metallic single-walled carbon nanotubes than the mixture.
  • the separation fraction isolated after centrifugation can be substantially semiconducting.
  • the separation fraction isolated after centrifugation can be substantially metallic.
  • greater than about 70% of the single-walled carbon nanotubes in the separation fraction can be semiconducting single-walled carbon nanotubes.
  • greater than about 50% of the single-walled carbon nanotubes in the separation fraction can be metallic single-walled carbon nanotubes.
  • the fluid medium and the mixture can be centrifuged for a time and/or at a rotational rate sufficient to at least partially separate the mixture (i.e., complexes) along the density gradient.
  • single-walled carbon nanotubes in the mixture can independently have diameter dimensions up to about 20 ⁇ or more. In certain embodiments, dimensions can range from about 7 ⁇ to about 11 ⁇ , while in certain other embodiments, dimensions can be greater than about 11 ⁇ (for example, ranging from about 11 ⁇ to about 20 ⁇ or from about 11 ⁇ to about 16 ⁇ ).
  • the first surface active component can be a bile salt and the second surface active component can be an anionic alkyl amphiphile.
  • the method can include post-isolation treatment of the separated single-walled carbon nanotubes to provide bare single-walled carbon nanotubes.
  • the method can include repeating the centrifuging and isolating steps using the separation fraction. For example, centrifugation of a first separation fraction can lead to a second separation by electronic type. The second separation can provide a second separation fraction that has a higher concentration or percentage of the desired electronic type compared to the first separation fraction.
  • the method can include further separation by nanotube diameter dimensions and/or chiralities, for example, by repeating the centrifuging and isolating steps using the separation fraction.
  • repeating the centrifuging and isolating steps using a substantially semiconducting separation fraction can provide subsequent separation fractions that predominantly include semiconducting single-walled carbon nanotubes of a predetermined range of narrow diameter dimensions (for example, a diameter dimension of about 7.6 ⁇ , a diameter dimension of about 8.3 ⁇ , a diameter dimension of about 9.8/10.3 ⁇ , etc.).
  • the present teachings are directed to a method of enriching a population of single-walled carbon nanotubes with semiconducting single-walled carbon nanotubes.
  • Such a method can include isolating semiconducting single-walled carbon nanotubes from a mixture of semiconducting single-walled carbon nanotubes and metallic single-walled carbon nanotubes without irreversibly modifying the metallic single-walled carbon nanotubes.
  • the method can include separating the semiconducting single-walled carbon nanotubes from a mixture of semiconducting single-walled carbon nanotubes and metallic single-walled carbon nanotubes without irreversibly modifying the metallic single-walled carbon nanotubes (i.e., before isolating the semiconducting single-walled carbon nanotubes from the mixture).
  • the method can include treatment of the enriched population to provide bare single-walled carbon nanotubes.
  • the method can include centrifuging the mixture of semiconducting single-walled carbon nanotubes and metallic single-walled carbon nanotubes.
  • the method can provide a population of single-walled carbon nanotubes that includes at least 70% semiconducting single-walled carbon nanotubes.
  • the method can further enrich the substantially semiconducting population with a predetermined range of nanotube diameter dimensions and/or chiralities.
  • the method can provide substantially semiconducting populations further enriched with a diameter dimension of about 7.6 ⁇ , a diameter dimension of about 8.3 ⁇ , a diameter dimension of about 9.8/10.3 ⁇ , etc.
  • single-walled carbon nanotubes in the mixture i.e., before separation
  • dimensions can range from about 7 ⁇ to about 11 ⁇ , while in certain other embodiments, dimensions can be greater than about 11 ⁇ (for example, ranging from about 11 ⁇ to about 20 ⁇ or from about 11 ⁇ to about 16 ⁇ ).
  • the present teachings are directed to a method of enriching a population of single-walled carbon nanotubes with metallic single-walled carbon nanotubes.
  • a method of enriching a population of single-walled carbon nanotubes with metallic single-walled carbon nanotubes can include isolating metallic single-walled carbon nanotubes from a mixture of semiconducting single-walled carbon nanotubes and metallic single-walled carbon nanotubes.
  • current methods for separating metallic single-walled carbon nanotubes from an electronically heterogeneous mixture were reported to cause degradation of the nanotube sidewalls.
  • the present teachings further relate in part to a method of separating single-walled carbon nanotubes based on electronic type, wherein the method can provide a substantially metallic separation fraction that predominantly includes metallic single-walled carbon nanotubes that are structurally intact.
  • the method can include separating the metallic single-walled carbon nanotubes from a mixture of semiconducting single-walled carbon nanotubes and metallic single-walled carbon nanotubes (i.e., before isolating the metallic single-walled carbon nanotubes from the mixture).
  • the method can include treatment of the enriched population to provide bare single-walled carbon nanotubes.
  • the method can include centrifuging the mixture of semiconducting single-walled carbon nanotubes and metallic single-walled carbon nanotubes.
  • the method can provide a population of single-walled carbon nanotubes that includes at least 50% metallic single-walled carbon nanotubes.
  • the method can further enrich the substantially metallic population with a predetermined range of nanotube diameter dimensions and/or chiralities.
  • single-walled carbon nanotubes in the mixture can independently have diameter dimensions up to about 20 ⁇ or more. In certain embodiments, dimensions can range from about 7 ⁇ to about 11 ⁇ , while in certain other embodiments, dimensions can be greater than about 11 ⁇ (for example, ranging from about 11 ⁇ to about 20 ⁇ or from about 11 ⁇ to about 16 ⁇ ).
  • the present teachings also are directed to a method of using a density gradient to isolate metallic single-walled carbon nanotubes from a mixture of semiconducting single-walled carbon nanotubes and metallic single-walled carbon nanotubes.
  • the method can include providing a surface active component system, centrifuging a fluid medium including a density gradient and a composition including the surface active component system and a mixture of semiconducting single-walled carbon nanotubes and metallic single-walled carbon nanotubes to separate the mixture along the density gradient, and isolating from the fluid medium a substantially metallic separation fraction.
  • the surface active component system can include a first surface active component and a second surface active component, wherein the ratio of the first surface active component to the second surface active component is adjusted so that when the surface active component system is contacted and centrifuged with a mixture of single-walled carbon nanotubes, a substantially metallic SWNT-containing separation fraction that has a different density (e.g., is less dense or more dense) than another separation fraction that contains substantially semiconducting SWNTs.
  • the fluid medium and the mixture can be centrifuged for a time and/or at a rotational rate sufficient to at least partially separate the mixture along the density gradient.
  • the first surface active component can be a bile salt and the second surface active component can be an anionic alkyl amphiphile.
  • the ratio of the first surface active component to the second surface active component can be less than about one.
  • the method can include treatment, e.g., washing, of the substantially metallic separation fraction to provide bare metallic single-walled carbon nanotubes.
  • the method can include repeating the centrifuging and isolating steps using the substantially metallic separation fraction. For example, centrifugation of a first separation fraction can lead to a second separation by electronic type. The second separation can provide a second separation fraction that has a higher concentration or percentage of metallic single-walled carbon nanotubes compared to the first separation fraction.
  • the method can include further separation by nanotube diameter dimensions and/or chiralities, for example, by repeating the centrifuging and isolating steps using the substantially metallic separation fraction.
  • single-walled carbon nanotubes in the mixture can independently have diameter dimensions up to about 20 ⁇ or more.
  • dimensions can range from about 7 ⁇ to about 11 ⁇ , while in certain other embodiments, dimensions can be greater than about 11 ⁇ (for example, ranging from about 11 ⁇ to about 16 ⁇ ).
  • greater than about 50% of the single-walled carbon nanotubes in the separation fraction can be metallic.
  • the present teachings are directed to a method of using a density gradient to isolate semiconducting single-walled carbon nanotubes from a mixture of metallic single-walled carbon nanotubes and semiconducting single-walled carbon nanotubes.
  • the method can include providing a surface active component system, centrifuging a fluid medium including a density gradient and a composition including the surface active component system and a mixture of semiconducting single-walled carbon nanotubes and metallic single-walled carbon nanotubes to separate the mixture along the density gradient, and isolating from the fluid medium a substantially semiconducting separation fraction.
  • the surface active component system can include a first surface active component and a second surface active component, wherein the ratio of the first surface active component to the second surface active component is adjusted so that when the surface active component system is contacted and centrifuged with a mixture of single-walled carbon nanotubes, a substantially semiconducting SWNT-containing separation fraction that has a different density (e.g., is less dense or more dense) than another separation fraction that contains substantially metallic SWNTs.
  • the fluid medium and the mixture can be centrifuged for a time and/or at a rotational rate sufficient to at least partially separate the mixture along the density gradient.
  • the first surface active component can be a bile salt and the second surface active component can be an anionic alkyl amphiphile.
  • the ratio of the first surface active component to the second surface active component can be greater than about one.
  • the method can include treatment of the substantially semiconducting separation fraction to provide bare semiconducting single-walled carbon nanotubes.
  • the method can include repeating the centrifuging and isolating steps using the substantially semiconducting separation fraction. For example, centrifugation of a first separation fraction can lead to a second separation by electronic type.
  • the second separation can provide a second separation fraction that has a higher concentration or percentage of semiconducting single-walled carbon nanotubes compared to the first separation fraction.
  • the method can include further separation by nanotube diameter dimensions and/or chiralities, for example, by repeating the centrifuging and isolating steps using the substantially semiconducting separation fraction, to provide subsequent separation fractions that predominantly contain semiconducting single-walled carbon nanotubes of a predetermined range of diameter dimensions (e.g., a diameter dimension of about 7.6 ⁇ , a diameter dimension of about 8.3 ⁇ , a diameter dimension of about 9.8/10.3 ⁇ , etc.).
  • the nanotubes selectively separated can be identified spectrophotometrically and/or fluorimetrically, with such identification including comparison of absorbance and/or emission spectra respectively with a corresponding reference spectrum.
  • the present teachings also are directed to a method of using a surface active component to alter carbon nanotube buoyant density.
  • a method can include providing a fluid medium including a density gradient; contacting a mixture of single-walled carbon nanotubes varying by structure and/or electronic type with at least one surface active component, to provide differential buoyant density; contacting the medium and the composition mixture; centrifuging the medium and the composition for a time and/or at a rotational rate at least partially sufficient to separate the mixture (i.e., complexes) by buoyant density along the gradient; and selectively separating by structure and/or electronic type one group or portion of the nanotube mixture from the medium.
  • Useful fluid medium and substances incorporated therein, together with surface active components can be as described elsewhere herein.
  • differential buoyant density can, optionally, be altered or modulated by a combination of two or more surface active components, where such contact and/or interaction can be a function of structure and/or electronic type.
  • the nanotubes can be of a diameter dimension increasing with gradient density and their position therealong.
  • Those nanotubes selectively separated can include at least one chirality and/or at least one electronic type.
  • the selection can include iterative separation, as demonstrated elsewhere herein, to further partition the chiralities along a gradient.
  • the invention can include iterative separation, as demonstrated elsewhere herein, to further partition the electronic types along a gradient.
  • at least one such separation can vary by change in surface active component, medium composition or identity, medium density gradient, and/or medium pH, from one or more of the preceding separations.
  • the present teachings can also be directed to a system for separation of carbon nanotubes.
  • a system for separation of carbon nanotubes can include a fluid density gradient medium, and a composition including at least one surface active component and carbon nanotubes including a range of chiralities, diameter dimensions and/or electronic types, with the complexes of the surface active component(s) and nanotubes positioned along the gradient of the medium.
  • Diameter dimensions are limited only by synthetic techniques used in nanotube production. Without limitation, diameter dimension can range from less than or about 4 ⁇ to about 7 ⁇ , to about 16 ⁇ , or to about 20 ⁇ , or greater.
  • the nanotubes in such a system are not limited by chirality or electronic type. Without limitation, such chiralities can be selected from any one or combination discussed herein.
  • the nanotubes in such a system can be semiconducting and/or metallic.
  • a fluid density gradient medium and one or more surface active components, with or without a co-surfactant, can be selected in view of the considerations discussed elsewhere herein.
  • the nanotubes of such a system can be selectively separated by diameter and/or electronic type, such a characteristic as can correspond, by comparison using techniques described herein, to a respective manufacturing process and/or commercial source.
  • carbon nanotubes separated in accordance with the present teachings e.g., without limitation, single-walled carbon nanotubes
  • carbon nanotubes separated in accordance with the present teachings can be of and identified as substantially or predominantly semiconducting or metallic, or by a diameter ranging from about 7 ⁇ to about 16 ⁇ .
  • selectivity available through use of methods of the present teachings can be indicated by separation of carbon nanotubes differing by diameters less than about 0.6 ⁇ .
  • the nanotubes of such an electronic type or within such a diameter range can be of substantially one (n,m) chirality or a mixture of (n,m) chiralities, where n and m denote chiral centers.
  • the present teachings further relate to populations of single-walled carbon nanotubes that are substantially monodisperse in terms of their structures and/or properties.
  • populations generally have narrow distributions of one or more predetermined structural or functional characteristics.
  • the population can be substantially monodisperse in terms of their diameter dimensions (e.g., greater than about 75%, including greater than about 90% and greater than about 97%, of the single-walled carbon nanotubes in a population of single-walled carbon nanotubes can have a diameter within less than about 0.5 ⁇ of the mean diameter of the population, greater than about 75%, including greater than about 90% and greater than about 97%, of the single-walled carbon nanotubes in a population of single-walled carbon nanotubes can have a diameter within less than about 0.2 ⁇ of the mean diameter of the population, greater than about 75%, including greater than about 90% and greater than about 97%, of the single-walled carbon nanotubes in a population of single-walled carbon nanotubes can have a diameter
  • the population can be substantially monodisperse in terms of their electronic type (e.g., greater than about 70%, including greater than about 75%, greater than about 80%, greater than about 85%, greater than about 90%, greater than about 92%, greater than about 93%, greater than about 97% and greater than about 99%, of the single-walled carbon nanotubes in a population of single-walled carbon nanotubes can be semiconducting, or greater than about 50%, including greater than about 75%, greater than about 90%, greater than about 97%, and greater than about 99%, of the single-walled carbon nanotubes in a population of single-walled carbon nanotubes can be metallic).
  • their electronic type e.g., greater than about 70%, including greater than about 75%, greater than about 80%, greater than about 85%, greater than about 90%, greater than about 92%, greater than about 93%, greater than about 97% and greater than about 99%
  • the population can be substantially monodisperse in terms of their chiralities (e.g., greater than about 30%, including greater than about 50%, greater than about 75%, and greater than about 90%, of the single-walled carbon nanotubes in a population of single-walled carbon nanotubes can include the same chirality (n, m) type).
  • populations of carbon nanotubes of the present teachings are loose or bulk carbon nanotubes, which are different from carbon nanotubes that are grown on and adhered to a substrate for a particular end use thereon.
  • articles of manufacture that include a population of single-walled carbon nanotubes according to the present teachings, and those articles that include isolated or bare single-walled carbon nanotubes provided by the methods of the present teachings.
  • articles of manufacture include, but are not limited to, various electronic devices, optical devices, and optoelectronic devices. Examples of such devices include, but are not limited to, thin film transistors (e.g., field effect transistors), chemical sensors, near-infrared emitters, and near-infrared detectors.
  • Other examples of articles of manufacture according to the present teachings include transparent conductive films, interconnects in integrated circuits, and conductive additives in composites.
  • FIG. 1 illustrates different physical structures of carbon nanotubes.
  • FIG. 2 is a schematic of density gradient centrifugation.
  • FIGS. 3( a )-( c ) are schematic diagrams illustrating surfactant encapsulation and sorting via density.
  • FIG. 4 illustrates the layering of a density gradient and its redistribution during ultracentrifugation.
  • FIG. 4( a ) is a schematic depicting typical, initial density gradient.
  • FIG. 4( b ) shows graphically the redistribution of a density profile.
  • FIG. 5 is a photographic representation that illustrates how SWNTs can be concentrated via density gradient ultracentrifugation using a large step density gradient.
  • FIG. 6 shows the fitting of absorbance spectrum for determination of relative SWNT concentration.
  • FIG. 7 illustrates the separation of SC-encapsulated CoMoCAT-synthesized SWNTs (which have a diameter range of 7-11 ⁇ ) via density gradient ultracentrifugation.
  • FIG. 7( a ) is a photograph of the centrifugation tube after a one-step separation.
  • FIG. 7( b ) shows the optical absorbance spectra (1 cm path length) after separation using density gradient ultracentrifugation.
  • FIG. 8 illustrates the separation of SDBS-encapsulated CoMoCAT-synthesized SWNTs via density gradient ultracentrifugation.
  • FIG. 8( a ) is a photograph of the centrifugation tube after a one-step separation.
  • FIG. 8( b ) shows the optical absorbance spectra (1 cm path length) after separation using density gradient ultracentrifugation.
  • FIG. 9 shows optical spectra of (a) deoxycholate encapsulated SWNTs, (b) taurodeoxycholate encapsulated SWNTs, and (c) SDS-encapsulated SWNTs separated in single surfactant density gradients.
  • FIG. 10 illustrates the separation of SC-encapsulated laser ablation-synthesized SWNTs via density gradient ultracentrifugation.
  • FIG. 10( a ) is a photograph of the centrifugation tube after a one-step separation.
  • FIG. 10( b ) shows the optical absorbance spectra (1 cm path length) after separation using density gradient ultracentrifugation.
  • FIG. 11 shows the fitting of photoluminescence spectrum for determination of relative SWNT concentration.
  • FIG. 11( a ) plots photoluminescence intensity as a function of excitation and emission wavelengths (vertical and horizontal axes, respectively).
  • FIG. 11( b ) plots photoluminescence intensity versus excitation wavelength at 740 nm.
  • FIGS. 11( c ) and 11 ( d ) plot the partial derivatives of photoluminescence intensities as a function of excitation and emission wavelengths (vertical and horizontal axes, respectively), and versus excitation wavelength at 740 nm, respectively.
  • FIG. 12 plots photoluminescence intensities as a function of excitation and emission wavelengths for increasing refinement.
  • FIG. 13 are the corresponding optical spectra to the photoluminescence spectra in FIG. 12 .
  • FIG. 15 plots photoluminescence intensities as a function of excitation and emission wavelengths.
  • FIG. 15( a ) was obtained with a heterogeneous population of HiPCO-grown SWNTs before separation.
  • FIGS. 15( b ) and 15 ( c ) were obtained with a heterogeneous population of HiPCO-grown SWNTs after separation using a co-surfactant system (1:4 ratio by weight, SDS:SC).
  • FIG. 16 shows the optimization of separation by electronic type by using competing mixture of co-surfactants.
  • FIG. 16( a ) is a photograph showing isolation of predominantly semiconducting laser-ablation-synthesized SWNTs using a co-surfactant system (1:4 SDS:SC).
  • FIG. 16( b ) shows the optical absorbance spectra (1 cm path length) after separation using density gradient ultracentrifugation.
  • FIG. 17 shows the optical absorbance spectra of laser-ablation-synthesized SWNTs separated in co-surfactant systems optimized for separating predominantly metallic SWNTs (3:2 SDS:SC) and predominantly semiconducting SWNTs (3:7 SDS:SC).
  • FIG. 18 compares the optical absorbance spectra of the isolated predominantly metallic SWNT fraction using a 3:2 SDS:SC co-surfactant system (optimized, as open circles, FIG. 16 ) versus a 1:4 SDS:SC co-surfactant system (unoptimized, as open star symbols, FIG. 15( b )).
  • FIG. 19 compares the optical absorbance spectra of unsorted laser-ablation-synthesized SWNTs with sorted semiconducting laser-ablation-synthesized SWNTs, where the laser-ablation-synthesized SWNTs were obtained from three different sources: (a) raw, unpurified laser ablation-synthesized SWNTs obtained from Carbon Nanotechnologies, Inc. (Batch A); (b) nitric acid purified laser ablation-synthesized SWNTs obtained from IBM (Batch B); and (c) nitric acid purified laser ablation-synthesized SWNTs obtained from IBM (Batch C).
  • FIG. 20 shows the optical absorption spectra of unsorted (as open star symbols), sorted metallic (as open triangles), and sorted semiconducting (as open diamond symbols) laser-ablation-synthesized SWNTs obtained with improved signal-to-noise ratio.
  • the asterisk symbol at about 900 nm identifies optical absorption from spurious semiconducting SWNTs.
  • the asterisk symbol at about 600 nm identifies optical absorption from spurious metallic SWNTs.
  • FIG. 21 shows the baseline subtraction for measuring the amplitudes of absorption for sorted metallic SWNTs.
  • FIG. 21( a ) shows the measurement of absorption from metallic SWNTs.
  • FIG. 21( b ) shows the measurement of absorption from spurious semiconducting SWNTs.
  • FIG. 22 shows the baseline subtraction for measuring the amplitudes of absorption for sorted semiconducting SWNTs.
  • FIG. 22( a ) shows the measurement of absorption from metallic SWNTs.
  • FIG. 22( b ) shows the measurement of absorption from spurious semiconducting SWNTs.
  • FIG. 23 shows the baseline subtraction for measuring the amplitudes of absorption for unsorted SWNTs.
  • FIG. 23( a ) shows the measurement of absorption from metallic SWNTs.
  • FIG. 23( b ) shows the measurement of absorption from spurious semiconducting SWNTs.
  • FIG. 24 shows typical yields of sorting experiments by plotting the percentage of starting SWNTs against fraction number.
  • the data points in FIG. 24( a ) correspond to the starting material-normalized absorbance at 942 nm (S22) in the 1:4 SDS:SC sorting experiment for semiconducting laser-ablation-synthesized SWNTs ( FIGS. 16( a )-( b )).
  • the left-most arrow points to the orange band of semiconducting SWNTs ( FIG. 16( a )) and the right-most arrow points to the black aggregate band (towards the bottom of the centrifuge in FIG. 16( a )).
  • the data points in FIG. 24( a ) correspond to the starting material-normalized absorbance at 942 nm (S22) in the 1:4 SDS:SC sorting experiment for semiconducting laser-ablation-synthesized SWNTs ( FIGS. 16( a )-( b )).
  • FIGS. 7( a )-( b ) correspond to the starting material-normalized absorbance at 982 nm (the first order transition for the (6, 5) chirality) in the SC sorting experiment for CoMoCAT-grown SWNTs ( FIGS. 7( a )-( b )) based on diameter.
  • the arrow points to the magenta band ( FIG. 7( b )).
  • FIG. 25 shows electrical devices of semiconducting and metallic SWNTs.
  • FIG. 25( a ) is a periodic array of source and drain electrodes (single device highlighted).
  • FIG. 25( b ) shows a representative atomic force microscopy (AFM) image of thin film, percolating SWNT network.
  • FET field-effect transistor
  • 25( d ) shows the inverse of sheet resistance as a function of gate bias for semiconducting (open triangles) and metallic (open circles) SWNTs purified in co-surfactant density gradients.
  • the electronic mobility of the semiconducting SWNT networks was estimated by fitting the source-drain current versus the gate bias for a fixed source-drain bias in the “on” regime of the FETs to a straight line (inset).
  • FIG. 26( a ) is an image of semiconducting network acquired by AFM (scale bar 0.5 ⁇ m).
  • FIG. 26( b ) shows the same image with conducting pathways due to SWNTs traced in black.
  • compositions are described as having, including, or comprising specific components, or where processes are described as having, including, or comprising specific process steps, it is contemplated that compositions of the present teachings also consist essentially of, or consist of, the recited components, and that the processes of the present teachings also consist essentially of, or consist of, the recited processing steps. It should be understood that the order of steps or order for performing certain actions is immaterial so long as the method remains operable. Moreover, two or more steps or actions can be conducted simultaneously.
  • carbon nanotubes refers to single-walled carbon nanotubes (SWNTs) unless otherwise stated or inferred from the description.
  • SWNTs single-walled carbon nanotubes
  • the terms “carbon nanotubes,” “single-walled carbon nanotubes,” or “SWNTs” should be understood to include single-walled carbon nanotubes synthesized by any current or future techniques and having any physical properties (e.g., electronic type or chirality) or dimensions (e.g., individual diameter or length) achieved by such current or future techniques unless otherwise stated or inferred from the description.
  • SWNTs can have individual lengths ranging from about 1-10 7 nm (about 10 ⁇ to about 1 cm), and individual diameters ranging from about 0.5-10 nm (about 5-100 ⁇ ).
  • single-walled carbon nanotubes have been synthesized by processes including high pressure carbon monoxide decomposition (“HiPCO”), Co—Mo catalysis (“CoMoCAT”), laser ablation, arc discharge, and chemical vapor deposition, and the individual diameter of the SWNTs synthesized by one or more of these techniques can be up to about 10 ⁇ (e.g., from about 5 ⁇ to about 10 ⁇ ), up to about 20 ⁇ (e.g., from about 5 ⁇ to about 20 ⁇ , from about 5 ⁇ to about 16 ⁇ , from about 5 ⁇ to about 11 ⁇ , from about 7 ⁇ to about 20 ⁇ , from about 7 ⁇ to about 16 ⁇ , from about 7 ⁇ to about 11 ⁇ , from about 11 ⁇ to about 20 ⁇ , or from about 11 ⁇ to about 16 ⁇ ), and up to about 50 ⁇ (e.g., from about 5 ⁇ to about 50 ⁇ , from about 7 ⁇ to about 50 ⁇ , from about 11 ⁇ to about 50 ⁇ , from about 11
  • the present methods and systems can be applied to separate SWNTs regardless of their individual diameters, including SWNTs having individual diameters greater than those achieved by currently available synthesis methods.
  • the present teachings relate to methods for separating structurally and/or characteristically heterogeneous SWNTs.
  • Methods of the present teachings can allow separation of SWNTs as a function of structure and/or one or more other properties without modifying the nanotubes chemically or structurally.
  • Methods of the present teachings can achieve simultaneous selectivity of diameter and chirality, diameter and electronic type, electronic type and chirality, or diameter, electronic type, and chirality, and can be applied to separate SWNTs of a wide range of diameters.
  • methods of the present teachings are broadly general and scalable, and can be used in conjunction with existing automation.
  • the present teachings provide methods for separating carbon nanotubes by at least one selected property.
  • the at least one selected property can be one or more of chirality, diameter, band gap, and electronic type (metallic versus semiconducting). Some of these properties can be independent of the other properties, while others can be interrelated.
  • the diameter and the electronic type of a particular carbon nanotube can be determined if its chiral indices are known, as shown in FIG. 1 .
  • metallic SWNTs are labeled green
  • the methods can include contacting the carbon nanotubes with an agent that interacts differentially with carbon nanotubes that vary by the at least one selected property.
  • the agent can affect differentially the density of carbon nanotubes as a function of the at least one selected property.
  • methods of the present teachings can be directed to using a density gradient to separate carbon nanotubes, e.g., by means of density gradient centrifugation.
  • Methods of the present teachings can include creating or enhancing a density (mass per volume) difference among carbon nanotubes, e.g., SWNTs, of varying structures and/or properties (e.g., chirality, diameter, band gap, and/or electronic type).
  • the density difference can be a buoyant density difference.
  • the buoyant density of a SWNT in a fluid medium can depend on multiple factors, including the mass and volume of the carbon nanotube itself, its surface functionalization, and electrostatically bound hydration layers.
  • surface functionalization of the carbon nanotubes can be non-covalent, and can be achieved by encapsulating the carbon nanotubes with one or more surface active components (e.g., surfactants).
  • methods of the present teachings can include contacting single-walled carbon nanotubes of varying structures and/or properties with at least one surface active component (e.g., surfactant), to provide a differential buoyant density among the single-walled carbon nanotubes when the complexes formed by the surface active component(s) and the single-walled carbon nanotubes are placed in a fluid medium that includes a density gradient.
  • the differential buoyant density can be a function of nanotube diameter, band gap, electronic type and/or chirality, thereby allowing separation of the single-walled carbon nanotubes by diameter, band gap, electronic type and/or chirality.
  • density gradient centrifugation uses a fluid medium with a predefined variation in its density as a function of position within a centrifuge tube or compartment (i.e. a density gradient).
  • a schematic of the density gradient centrifugation process is depicted in FIG. 2 .
  • Species of different densities sediment through a density gradient until they reach their respective isopycnic points, i.e., the points in a gradient at which sedimentation stops due to a matching of the buoyant density of the species with the buoyant density of the fluid medium.
  • Fluid media useful with the present teachings are limited only by carbon nanotube aggregation therein to an extent precluding at least partial separation. Accordingly, without limitation, aqueous and non-aqueous fluids can be used in conjunction with any substance soluble or dispersible therein, over a range of concentrations so as to provide the medium a density gradient for use in the separation techniques described herein. Such substances can be ionic or non-ionic, non-limiting examples of which include inorganic salts and alcohols, respectively. In certain embodiments, as illustrated more fully below, such a medium can include a range of aqueous iodixanol concentrations and the corresponding gradient of concentration densities. Likewise, as illustrated below, the methods of the present teachings can be influenced by gradient slope, as affected by the length of the centrifuge tube or compartment and/or the angle of centrifugation.
  • aqueous iodixanol is a common, widely used non-ionic density gradient medium.
  • other media can be used with good effect, as would also be understood by those individuals.
  • any material or compound stable, soluble or dispersible in a fluid or solvent of choice can be used as a density gradient medium.
  • a range of densities can be formed by dissolving such a material or compound in the fluid at different concentrations, and a density gradient can be formed, for instance, in a centrifuge tube or compartment.
  • the carbon nanotubes, whether or not functionalized should also be soluble, stable or dispersible within the fluids/solvent or resulting density gradient.
  • the maximum density of the gradient medium should be at least as large as the buoyant density of the particular carbon nanotubes (and/or in composition with one or more surface active components, e.g., surfactants) for a particular medium.
  • any aqueous or non-aqueous density gradient medium can be used providing the single-walled carbon nanotubes are stable; that is, do not aggregate to an extent precluding useful separation.
  • iodixanol include but are not limited to inorganic salts (such as CsCl, Cs 2 SO 4 , KBr, etc.), polyhydric alcohols (such as sucrose, glycerol, sorbitol, etc.), polysaccharides (such as polysucrose, dextrans, etc.), other iodinated compounds in addition to iodixanol (such as diatrizoate, nycodenz, etc.), and colloidal materials (such as but not limited to percoll).
  • inorganic salts such as CsCl, Cs 2 SO 4 , KBr, etc.
  • polyhydric alcohols such as sucrose, glycerol, sorbitol, etc.
  • polysaccharides such as polysuc
  • a suitable density gradient medium include, without limitation, the diffusion coefficient and the sedimentation coefficient, both of which can determine how quickly a gradient redistributes during centrifugation.
  • the diffusion coefficient and the sedimentation coefficient both of which can determine how quickly a gradient redistributes during centrifugation.
  • a larger diffusion coefficient and a smaller sedimentation coefficient are desired.
  • Percoll® is a non-ionic density gradient medium having a relatively small water affinity compared to other media.
  • it has a large sedimentation rate and a small diffusion coefficient, resulting in quick redistribution and steep gradients.
  • cost can be another consideration, the methods of the present teachings tend to mitigate such concerns in that the media can be repeatedly recycled and reused.
  • aqueous iodixanol is relatively expensive as compared to other density gradient media, it can be recycled, with the iodixanol efficiently recovered at high yield, for reuse in one separation system after another.
  • a heterogeneous sample of carbon nanotubes e.g., a mixture of carbon nanotubes of varying structures and/or properties
  • the heterogeneous sample of carbon nanotubes can be introduced at a spatial point along the gradient where the density remains roughly constant over time even as the density gradient becomes steeper over the course of centrifugation.
  • Such an invariant point can be advantageously determined to have a density corresponding to about the buoyant density of the nanotube composition(s) introduced thereto.
  • the heterogeneous sample of carbon nanotubes Prior to introduction into the density gradient medium, the heterogeneous sample of carbon nanotubes can be provided in composition with one or more surface active components.
  • the one or more surface active components can include one or more surfactants selected from a wide range of non-ionic or ionic (cationic, anionic, or zwitterionic) amphiphiles.
  • the surface active component can include an anionic surfactant.
  • a surface active component can include one or more sulfates, sulfonates, carboxylates, and combinations thereof.
  • a surface active component can include one or more bile salts (including but not limited to cholates, deoxycholates, taurodeoxycholates and combinations thereof), or other amphiphiles with anionic head groups and flexible alkyl tails (referred interchangeably herein below as anionic alkyl amphiphiles; such as but not limited to dodecyl sulfates and dodecylbenzene sulfonates).
  • bile salts can include but are not limited to sodium cholate (SC), sodium deoxycholate, and sodium taurodeoxycholate.
  • amphiphiles with anionic head groups and flexible alkyl tails can include, but are not limited to, sodium dodecyl sulfate (SDS) and sodium dodecylbenzene sulfonate (SDBS). More generally, such bile salts can be more broadly described as a group of molecularly rigid and planar amphiphiles with a charged face opposing a hydrophobic face. As such, these bile salts (or other surface active components having characteristics similar to these bile salts) are capable of providing a planar and/or rigid structural configuration about and upon interaction with carbon nanotubes, which can induce differential nanotube buoyant density.
  • the surface active component can include a cationic surfactant.
  • such a component can be selected from amphiphiles with cationic head groups (e.g., quaternary ammonium salts) and flexible or rigid tails.
  • Density gradient centrifugation can be used with comparable effect for the separation of a wide range of surfactant-encapsulated SWNTs.
  • surfactant-based separation via density gradient centrifugation is believed to be largely driven by how surfactants organize around SWNTs of different structures and electronic types.
  • FIGS. 3( a )-( c ) illustrate how a single type of surfactant encapsulates carbon nanotubes of different structures (in this case, diameters) differentially. As such encapsulation contributes to a density difference proportional to the diameter of the carbon nanotubes, separation of such surfactant encapsulated SWNTs is possible via density gradient ultracentrifugation.
  • DNA functionalization has not been optimized for all embodiments. For instance, due to limited stability in aqueous density gradients, DNA-wrapped SWNTs may not be amenable to the refinements in purification gained from repeated centrifugation in density gradients. In addition, the complete removal of the DNA wrapping after enrichment can be problematic. Furthermore, the availability and cost of specific, custom oligomers of single-stranded DNA can be prohibitive. Sensitivity to electronic type (metallic versus semiconducting) also has yet to be fully explored.
  • the methods of the present teachings can be directed to use of a surface active component that does not include DNA or DNA fragments.
  • a surface active component that includes a single surfactant
  • an anionic amphiphile such as an anionic-alkyl surfactant or any of the bile salts described above can be used.
  • many surfactants contemplated for use with the present teachings cost orders of magnitude less than single-stranded DNA. The difference is significant when comparing, for instance, sodium cholate (98% purity) from Sigma-Aldrich (St.
  • SWNTs the surface active components disclosed herein to SWNTs is reversible and compatible with a wide range of tube diameters (e.g., SWNTs having a diameter in the range of about 7 ⁇ to about 16 ⁇ . More importantly, by using such a surface active component, the structure-density relationship for SWNTs can be easily controlled by varying the surfactant(s) included in the surface active component.
  • surfactants such as salts of bile acids, e.g. cholic acid, including sodium cholate, sodium deoxycholate, and sodium taurodeoxycholate.
  • cholic acid including sodium cholate, sodium deoxycholate, and sodium taurodeoxycholate.
  • separation in density gradients also can be achieved using other surface active components, such as surfactants, consistent with the principles and concepts discussed herein and the knowledge of those skilled in the art.
  • surfactants for the case of single surfactant separations, distinct structure-density relationships were observed for anionic-alkyl surfactants and bile salts as described in examples herein below.
  • Use of a single surfactant can be especially useful for separation by diameter.
  • the heterogeneous sample of carbon nanotubes can be provided in composition with at least two surface active components, where the at least two surface active components can be of the same type or of different types.
  • the at least two surface active components can competitively adsorb to the SWNT surface.
  • the at least two surface active components can be two different surfactants.
  • Such a competitive co-surfactant system can be used to achieve optimal separation between metallic and semiconducting single-walled carbon nanotubes.
  • the at least two surface active components can include two bile salts, or alternatively, a bile salt with a surfactant.
  • the metal-semiconductor selectivity observed using the present methods indicates a certain degree of coupling of the surfactant(s) and/or their hydration with the electronic nature of the underlying SWNTs. Additionally, the packing density of the surfactants and their hydration likely may be sensitive to electrostatic screening by the underlying SWNTs.
  • At least one separation fraction including separated single-walled carbon nanotubes can be separated from the medium.
  • Such fraction(s) can be isopycnic at a position along the gradient.
  • An isolated fraction can include substantially monodisperse single-walled carbon nanotubes, for example, in terms of at least one characteristic selected from nanotube diameter dimensions, chiralities, and electronic type.
  • fractionation techniques can be used, including but not limited to, upward displacement, aspiration (from meniscus or dense end first), tube puncture, tube slicing, cross-linking of gradient and subsequent extraction, piston fractionation, and any other fractionation techniques known in the art.
  • the medium fraction and/or nanotube fraction collected after one separation can be sufficiently selective in terms of separating the carbon nanotubes by the at least one selected property (e.g. diameter). However, in some embodiments, it can be desirable to further purify the fraction to improve its selectivity. Accordingly, in some embodiments, methods of the present teachings can include iterative separations. Specifically, an isolated fraction can be provided in composition with the same surface active component system or a different surface active component system, and the composition can be contacted with the same fluid medium or a different fluid medium, where the fluid medium can have a density gradient that is the same or different from the fluid medium from which the isolated fraction was obtained. In certain embodiments, fluid medium conditions or parameters can be maintained from one separation to another.
  • At least one iterative separation can include a change of one or more parameters, such as but not limited to, the identity of the surface active component(s), medium identity, medium density gradient and/or medium pH with respect to one or more of the preceding separations. Accordingly, in some embodiments of the methods disclosed herein, the choice of the surface active component can be associated with its ability to enable iterative separations, which, for example, is considered not possible for DNA wrapped SWNTs (due to, in part, the difficulties in removing the DNA from the SWNTs).
  • the present methods can include multiple iterations of density gradient centrifugation, whereby the degree of separation by physical and electronic structure can improve with each iteration. For instance, removal of undesired chiralities can be effected by successively repetitive density gradient centrifugation. Additionally, the surfactant(s) encapsulating the SWNTs can be modified or changed between iterations, allowing for even further refinement of separation, as the relationship between density and the physical and electronic structure will vary as a function of any resulting surfactant/encapsulation layer. Separation fractions isolated after each separation can be washed before further complexation and centrifugation steps are performed.
  • the selectivity of the fraction(s) collected can be confirmed by various analytical methods.
  • optical techniques including but not limited to spectroscopic techniques such as spectrophotometric analysis and fluorimetric analysis can be used.
  • Such techniques generally include comparing one or more absorbance and/or emission spectra with a corresponding reference spectrum.
  • the isolated nanotube fraction generally has a narrower distribution in the variance of the at least one selected property.
  • carbon nanotubes synthesized by currently known techniques including, without limitation, high pressure carbon monoxide (“HiPCO”) process, Co—Mo catalysis (“CoMoCAT”) process, and laser ablation process, typically have heterogeneous structures and properties.
  • HiPCO high pressure carbon monoxide
  • CoMoCAT Co—Mo catalysis
  • laser ablation process typically have heterogeneous structures and properties.
  • both the CoMoCAT and the HiPCO methods typically yield SWNTs having a diameter in the range of about 7 ⁇ to about 11 ⁇
  • the laser-ablation growth method typically yields SWNTs having a diameter in the range of about 11 ⁇ to about 16 ⁇ .
  • the heterogeneous sample of carbon nanotubes can have varying chiralities, diameter, and/or electronic type.
  • the diameter dimensions of the carbon nanotubes can range from about 7 ⁇ to about 20 ⁇ , from about 7 ⁇ to about 16 ⁇ , from about 7 ⁇ to about 15 ⁇ , from about 7 ⁇ to about 12 ⁇ , from about 7 ⁇ to about 11 ⁇ , from about 7 ⁇ to about 10 ⁇ , from about 11 ⁇ to about 20 ⁇ , from about 11 ⁇ to about 16 ⁇ , from about 11 ⁇ to about 15 ⁇ , from about 12 ⁇ to about 20 ⁇ , from about 12 ⁇ to about 16 ⁇ , or from about 12 ⁇ to about 15 ⁇ .
  • the heterogeneous sample of carbon nanotubes can include metallic carbon nanotubes and semiconducting carbon nanotubes.
  • the present teachings can provide a population of carbon nanotubes (e.g., SWNTs) in which >99.9%, >99%, >97%, >95%, >90%, >85%, >80%, >75%, or >50% of the carbon nanotubes can have a diameter differing by less than about 0.6 ⁇ or that >99.9%, >99%, >97%, >95%, >90%, >85%, >80%, >75%, or >50% of the carbon nanotubes can have a diameter within about 0.6 ⁇ of the mean diameter of the population.
  • the present teachings can provide a population of carbon nanotubes in which >99.9%, >99%, >97%, >95%, >90%, >85%, >80%, >75%, or >50% of the carbon nanotubes can have a diameter differing by about 0.5 ⁇ or that >99.9%, >99%, >97%, >95%, >90%, >85%, >80%, >75%, or >50% of the carbon nanotubes can have a diameter within about 0.5 ⁇ of the mean diameter of the population.
  • the present teachings can provide a population of carbon nanotubes in which >99.9%, >99%, >97%, >95%, >90%, >85%, >80%, >75%, or >50% of the carbon nanotubes can have a diameter differing by about 0.2 ⁇ or that >99.9%, >99%, >97%, >95%, >90%, >85%, >80%, >75%, or >50% of the carbon nanotubes can have a diameter within about 0.2 ⁇ of the mean diameter of the population.
  • the present teachings can provide a population of carbon nanotubes in which >99.9%, >99%, >97%, >95%, >90%, >85%, >80%, >75%, or >50% of the carbon nanotubes can have a diameter differing by about 0.1 ⁇ or that >99.9%, >99%, >97%, >95%, >90%, >85%, >80%, >75%, or >50% of the carbon nanotubes can have a diameter within about 0.1 ⁇ of the mean diameter of the population.
  • the present teachings can provide a population of carbon nanotubes in which >75% of the carbon nanotubes can have a diameter within about 0.5 ⁇ of the mean diameter of the population.
  • the present teachings can provide a population of carbon nanotubes (e.g., SWNTs) in which >99.9%, >99%, >97%, >95%, >92%, >90%, >85%, >80%, >75%, >50%, or >33% of the carbon nanotubes can be metallic.
  • a population of carbon nanotubes e.g., SWNTs
  • the present teachings can provide a population of carbon nanotubes in which >99.9%, >99%, >97%, >95%, >92%, >90%, >85%, >80%, >75%, or >67% of the carbon nanotubes can be semiconducting.
  • the present teachings can provide a population of carbon nanotubes in which >50% of the carbon nanotubes can be metallic.
  • the present teachings can provide a population of carbon nanotubes in which >70% of the carbon nanotubes can be semiconducting.
  • selectivity made possible by the present teachings can be indicated by separation of carbon nanotubes where >15% of such separated carbon nanotubes are of the same chirality (n,m) type.
  • the present teachings can provide a population of carbon nanotubes (e.g., SWNTs) in which >99.9%, >99%, >97%, >95%, >90%, >85%, >80%, >75%, >50%, >30%, or >15% of the carbon nanotubes can be of the same chirality (n,m) type.
  • the present teachings can provide a population of carbon nanotubes in which >30% of the carbon nanotubes can include the same chirality (n,m) type.
  • density gradient ultracentrifugation can provide a scalable approach for the bulk purification of carbon nanotubes by diameter, band gap, and electronic type.
  • the present teachings can purify heterogeneous mixtures of SWNTs and provide sharp diameter distributions in which greater than 97% of semiconducting SWNTs are within 0.2 ⁇ of the mean diameter.
  • the structure-density relationship for SWNTs can be engineered to achieve exceptional metal-semiconductor separation, for example, by using mixtures of competing co-surfactants, thus enabling the isolation of bulk quantities of SWNTs that are predominantly a single electronic type.
  • SWNTs purified by methods of the present teachings are highly compatible with subsequent processing techniques and can be integrated into devices, the present teachings also provide articles of manufacture (including electronic devices, optical devices, and combinations thereof) and other technological applications that require SWNTs with monodisperse structure and properties.
  • SWNTs of various diameters were explored by utilizing SWNTs produced by the CoMoCAT method (which yields tubes about 7-11 ⁇ in diameter), and the laser-ablation growth method (which yields tubes about 11-16 ⁇ in diameter).
  • CoMoCAT material was purchased from Southwest Nanotechnologies, Inc. (Norman, Okla.) as raw material purified only to remove silica.
  • the laser-ablation grown SWNTs were manufactured by Carbon Nanotechnologies Inc. (Houston, Tex.) and received in their raw form.
  • SWNTs were dispersed in solutions of 2% w/v surfactant via ultrasonication.
  • the sodium salt of deoxycholic acid was used in experiments and was formed by addition of equal molar concentrations of NaOH.
  • Ultrasonication (Sonic Dismembrator 500, Fisher Scientific) was implemented by immersing an ultrasonic probe (microtip extension, Fisher Scientific) into 3-15 mL of the SWNT solution. The probe was driven at 40% of the instrument's maximum amplitude for 60 minutes at 20 kHz. During sonication, the solution was immersed in a bath of ice-water to prevent heating. In some instances, after ultrasonication, large aggregations of insoluble material were removed via ultracentrifugation at 54 krpm for 14 minutes in a TLA100.3 rotor (Beckman-Coulter).
  • Density gradients were formed from aqueous solutions of a non-ionic density gradient medium, iodixanol, purchased as OptiPrep® 60% w/v iodixanol, 1.32 g cm ⁇ 3 , (Sigma-Aldrich Inc.). Gradients were created directly in centrifuge tubes by one of two methods, by layering and subsequent diffusion or by using a linear gradient maker. See J. M. Graham, Biological centrifugation , (BIOS Scientific Publishers, Limited, ebrary, Inc., 2001). In the layering and subsequent diffusion method, 3-6 layers, each consisting of discrete, decreasing iodixanol concentrations, were layered in a centrifuge tube.
  • an under-layer of 60% weight per volume iodixanol was inserted at the bottom of the gradient to raise the linear portion of the gradient in the centrifuge tube.
  • centrifuge tubes were filled with an over-layer consisting of only surfactant (0% w/v iodixanol). All the layers initially consisted of the same concentration of surfactant, which was typically 2% w/v.
  • SWNTs For the inclusion of SWNTs in linear gradients, several methods were utilized: (i) SWNTs, dispersed in aqueous solutions of surfactants (typically 2% w/v), were layered on top of the gradient before centrifugation; (ii) iodixanol was added to an aqueous solution of dispersed SWNTs to adjust its density and this solution was then inserted into a linear gradient via a syringe at the point in which the density of the preformed gradient matched that of the solution; and (iii) iodixanol was added to an aqueous solution of dispersed SWNTs and this solution was used as a layer of a step gradient. Due to the slower diffusion rate of the SWNTs compared with that of iodixanol, the SWNTs were observed to remain in their initial position during the diffusion step.
  • surfactants typically 2% w/v
  • Centrifugation was carried out in two different rotors, a fixed angle TLA1100.3 rotor and a swing bucket SW41 rotor (Beckman-Coulter), at 22 degrees Celsius and at 64 krpm and 41 krpm, respectively, for 9-24 hours, depending on the spatial extent and initial slope of a gradient.
  • FIGS. 4( a )-( b ) illustrate layering of a density gradient and its redistribution during ultracentrifugation.
  • FIG. 4( a ) is a schematic depicting a typical, initial density gradient. In between a dense underlayer and buoyant overlayer, a linear gradient of iodixanol is created and SWNTs are inserted into that layer before centrifugation.
  • FIG. 4( b ) shows graphically the redistribution of a density profile.
  • the density gradient media e.g., iodixanol
  • the gradient-portion of the centrifuge tube linearly varied from 7.5% w/v (1.04 g cm ⁇ 3 ) at the top to 22.5% w/v (1.12 g cm ⁇ 3 ) at the bottom or from 10% w/v (1.05 g cm ⁇ 3 ) at the top to 25% w/v (1.13 g cm ⁇ 3 ) at the bottom.
  • Typical centrifugation conditions were 12 hours at 41 krpm.
  • the chosen density and slope of a gradient are parameters that can be varied to optimize the effectiveness of density gradient ultracentrifugation. It is preferred that a density gradient be constructed to minimize the distance that the SWNTs must sediment before reaching their isopycnic point. Furthermore, it should be understood that during ultracentrifugation, the density profile (density as a function of height in the centrifuge tube) will redistribute as the density gradient medium responds to the centripetal force. Typically, this means that the density gradient will become steeper with time.
  • the re-distribution iodixanol and the separation of SWNTs during ultracentrifugation can be roughly predicted via numerical solutions to the Lamm equation if the buoyant densities of the SWNTs and their sedimentation coefficients are known. See J. M. Graham, Biological centrifugation , (BIOS Scientific Publishers, Limited, ebrary, Inc., 2001).
  • FIG. 5 is a photographical representation showing the concentration of SWNTs via density gradient ultracentrifugation using a large step density gradient.
  • the photograph on the left hand side shows the distribution of the SWNT solution (a), which includes sodium cholate, the encapsulating agent, and no iodixanol, and the stop layer (b), which includes 60% w/v iodixanol with the encapsulating agent added at the same concentration as layer (a), before concentration.
  • the photograph on the left hand side shows the concentrated SWNT solution after ultracentrifugation at ⁇ 200,000 g.
  • the sodium cholate-encapsulated SWNTs which have a buoyant density between ⁇ a and ⁇ b , have sedimented to the interface between layer (a) and layer (b).
  • the SWNT solution ( ⁇ ⁇ 1 g/mL) was layered directly on top of an OptiPrep® solution (60% w/v iodixanol solution, 1.32 g/mL). Surfactant was added to the OptiPrep® solution at the same weight per volume as in the SWNT solution (usually 2% w/v surfactant).
  • the isolated SWNTs with a buoyant density between 1.00 and 1.32 g/mL, sedimented to the interface between both layers.
  • the SWNTs at the interface were then withdrawn from the centrifuge tube via fractionation. This enabled the concentration of SWNTs by a factor of 3-5, as determined from optical spectrophotometry.
  • the concentrated SWNTs can be removed via fractionation.
  • SWNTs were removed from their density gradients, layer by layer, by fractionation.
  • a modified Beckman Fractionation System (Beckman-Coulter Inc.) was utilized in an upward displacement mode using Fluorinert® FC-40 (Sigma-Aldrich, Inc.) as a dense chase media. 25 ⁇ L fractions were collected.
  • a Piston Gradient Fractionator system was utilized (Biocomp Instruments, Inc., Canada). 0.5-3.0 mm fractions were collected (70-420 ⁇ L in volume). In both cases, fractions were diluted to 1 mL in 2% w/v surfactant solution for optical characterization.
  • optical absorbance spectra of collected fractions of separated SWNTs were measured using a Cary 500 spectrophotometer (Varian, Inc.) from 400 to 1340 nm at 1 nm resolution for 0.066-0.266 s integration time.
  • Samples of similar optical index of refraction similar iodixanol and surfactant concentrations were used as reference samples for subtraction of background absorbance (due to water, surfactant, iodixanol, etc.), using the two-beam mode of the Cary 500 (lamp illumination split between the sample of interest and the reference sample, with reference absorption subtracted from that of the sample).
  • a baseline correction was utilized to correct for varying instrument sensitivities with wavelength.
  • FIG. 6 shows the fitting of absorbance spectrum for determination of relative SWNT concentration.
  • the absorbance spectrum is plotted as open triangles (left axis).
  • the derivative of absorbance with respect to wavelength is plotted as open circles (right axis).
  • the effects of background absorbencies are minimized by using the amplitude of the derivative (depicted by arrows) rather than the absolute absorbance.
  • Density gradient centrifugation The Beckman SW41 rotor was utilized for this sorting experiment. Gradients were formed directly in SW41-sized polyclear centrifuge tubes (Beckman-Coulter) using the linear gradient maker by the following procedure. First, the bottom of a centrifuge tube was filled with 1.5 mL of an underlayer consisting of 60% w/v iodixanol, 2% w/v SC, as described previously.
  • a 1.1 mL solution consisting of already dispersed SWNTs (as described above), 2% w/v SC, and 20% w/v iodixanol was created.
  • Fractionation After sorting via density gradient ultracentrifugation, the gradient was fractionated into 0.5 mm segments (70 ⁇ L). Each fraction was diluted to 1 mL and optically characterized as described previously.
  • FIG. 7 illustrates the separation of SC-encapsulated CoMoCAT-synthesized SWNTs (which have a diameter range of 7-11 ⁇ ) via density gradient ultracentrifugation.
  • FIG. 7( a ) is a photograph of the centrifugation tube after a one-step separation. Referring to FIG. 7( a ), multiple regions of separated SWNTs are visible throughout the density gradient. The separation is evidenced by the formation of colored bands of isolated SWNTs sorted by diameter and band gap, with at least three different colored bands being clearly visible (from top to bottom: magenta, green, and brown). The different color bands correspond to different band gaps of the semiconducting tubes. Bundles, aggregates, and insoluble material sediment to lower in the gradient (as a black band).
  • FIG. 7( b ) shows the optical absorbance spectra (1 cm path length) after separation using density gradient ultracentrifugation.
  • SWNTs before purification are depicted as a dashed, gray line.
  • the amplitudes of optical absorbance for different transitions in the 900-1340 nm range also indicate separation by diameter and band gap. More specifically, the spectra illustrate that SWNTs of increasingly larger diameters are enhanced at increasingly larger densities.
  • the semiconducting first order transitions for SWNTs produced by the CoMoCAT method are spectrally located between 900-1340 nm, as described in the literature. Specifically, three diameter ranges of semiconducting SWNTs are highlighted (red, green, and blue; (6, 5), (7, 5) and (9, 5)/(8, 7) chiralities; 7.6, 8.3, and 9.8/10.3 ⁇ in diameter; maximized in the 3rd, 6th, and 7th fractions, respectively). As described above, absorbance spectra were fit in this spectral range to determine the concentration of different semiconducting (n, m) chiralities.
  • Density gradient centrifugation The Beckman TLA100.3 rotor was utilized for this sorting experiment. A gradient was formed directly in a TLA100.3-sized polycarbonate centrifuge tube (Beckman-Coulter) by layering. Three discrete solutions of 1.0 mL were layered on top of each other in the centrifuge tubes by hand using a Pasteur pipette. The bottom layer consisted of 40% w/v iodixanol, 2% w/v SDBS. The middle layer consisted of 20% w/v iodixanol, 2% w/v SDBS. The top layer consisted of 10% w/v iodixanol and 2% w/v SDBS. Specifically, this layer was created by mixing 166 ⁇ L 60% w/v iodixanol with 834 ⁇ L of SWNTs dispersed in 2% w/v SDBS.
  • the gradient was tilted to ⁇ 80 degrees from vertical for 1 hour to allow for diffusion of iodixanol into an approximately linear profile.
  • sorting was induced by ultracentrifugation at 64 krpm for 9 hours at 22° C.
  • Fractionation After sorting via density gradient ultracentrifugation, the gradient was fractionated into 25 ⁇ L segments. Each fraction was diluted to 1 mL and optically characterized as described above.
  • FIG. 8 illustrates the separation of SDBS-encapsulated CoMoCAT-synthesized SWNTs via density gradient ultracentrifugation.
  • FIG. 8( a ) is a photograph of the centrifugation tube after a one-step separation. Referring to FIG. 8( a ), it can be seen that, in contrast to SC-encapsulated SWNTs, all of the SDBS-encapsulated SWNTs are compressed into a narrow black band. In the corresponding optical spectra ( FIG. 8( b ), it can also be seen that neither diameter nor band gap separation is indicated. The difference in density from the top fraction to the bottom fraction was measured to be 0.096 g cm ⁇ 3 , and the density for the top fraction was measured to be 1.11 ⁇ 0.02 g cm ⁇ 3 .
  • SWNTs in the 11-16 ⁇ diameter range synthesized by the laser ablation growth method were purified using SC-encapsulations. Procedures identical to those described in Section A above were used except for the following changes: (1) SWNTs grown by the laser-ablation method were used instead of SWNTs grown by the CoMoCAT method; (2) 10.0% and 25.0% w/v iodixanol solutions were used instead of the 7.5% and 22.5% w/v iodixanol solutions, respectively, during linear density gradient formation; (3) the solution containing SWNTs was prepared as a 24.1% w/v iodixanol solution rather than a 20.0% w/v iodixanol solution before insertion into the gradient.
  • FIG. 10 illustrates the separation of SC-encapsulated laser ablation-synthesized SWNTs via density gradient ultracentrifugation.
  • FIG. 10( a ) is a photograph of the centrifugation tube after a one-step separation.
  • colored bands of SWNTs are apparent, suggesting separation by electronic-structure. Specifically, five or more colored bands are visible (from top to bottom: a first green band, an orange band, a yellow band, a second green band, and a brown band). Also the trend of increasing density with increasing diameter also was observed.
  • the difference in density from the top fraction to the bottom fraction was measured to be 0.026 g cm ⁇ 3 , and the density for the bottom fraction was measured to be 1.08 ⁇ 0.02 g cm ⁇ 3 .
  • FIG. 10( b ) shows the optical absorbance spectra (1 cm path length) after separation using density gradient ultracentrifugation.
  • SWNTs before purification is depicted as a dashed, gray line.
  • the second and third order semiconducting and first order metallic optical transitions are labeled S22, S33, and M11, respectively.
  • the diameter separation was observed as a red-shift in the emphasis in the S22 optical transitions (second-order optical absorbance transitions for semiconducting SWNTs, 800-1075 nm) with increasing density.
  • an enrichment of these SWNTs by electronic type was also detected.
  • the degree of isolation achieved after a single step of the technique is limited by the diffusion of SWNTs during ultracentrifugation, mixing during fractionation, and statistical fluctuations in surfactant encapsulation.
  • the centrifugation process can be repeated for multiple cycles. For example, after the first iteration of density gradient centrifugation, subsequent fractionation, and analysis of the optical absorbance spectra of the collected fractions, the fractions containing the largest concentration of the target chirality or electronic type of interest can be combined. The density and volume of the combined fractions can then be adjusted by the addition of iodixanol and water, both containing surfactant/encapsulation agent (usually at 2% w/v surfactant).
  • This sorted sample can then be inserted into a second density gradient, centrifuged, and the entire protocol can be repeated. This process can be repeated for as many iterations as desired. This enables the optimal isolation of a targeted electronic type or a specific chirality of SWNT.
  • SWNTs were then concentrated in preparation for the first iteration of density gradient ultracentrifugation.
  • Six SW41 polyclear centrifuge tubes (Beckman-Coulter) were each filled with 8.62 mL of 60% w/v iodixanol, 2% w/v SC, which served as stop layers. Then, on top of each of these dense stop layers, 3.0 mL of initially dispersed SWNTs was added to fill the centrifuge tubes to ⁇ 4 mm from their tops. The SWNTs were then concentrated via ultracentrifugation at 41 krpm at 22° C. for 7.5 hours, as depicted in FIG. 5 .
  • each centrifuge tube was fractionated and the concentrated SWNTs were extracted in 0.7 cm (0.98 mL) fractions.
  • the end result was a concentration by a factor of three. All of the concentrated fractions were combined and the buoyant density of the combined fractions containing the concentrated SWNTs measured 1.12 g cm ⁇ 3 .
  • the density of this combined solution was then reduced to 1.105 g cm ⁇ 3 by adding 2% w/v SC.
  • Density gradient centrifugation The Beckman SW41 rotor was utilized. Gradients were formed directly in SW41-sized polyclear centrifuge tubes (Beckman-Coulter) using the linear gradient maker. Underlayers or overlayers were not used. Stock solutions of ⁇ 100 mL of 8.9% w/v iodixanol, 2% w/v SC and of 25.9% w/v iodixanol, 2% w/v SC were prepared. 5.5 mL of each was added to the mixing and reservoir chambers of the linear gradient maker, respectively. The linear gradient was delivered from the output of the gradient maker to the bottom of a centrifuge tube using a piece of glass tubing.
  • SWNT solution (1.105 g cm ⁇ 3 ) was slowly inserted (0.1 mL min ⁇ 1 ) via a syringe needle and the height of the syringe needle was adjusted such that the SWNT solution was inserted where its density matched that of the local density gradient. Sorting occurred via ultracentrifugation at 40 krpm for 24 hours at 22° C.
  • each gradient was fractionated into 0.66 mm segments (93 ⁇ L). Some fractions were diluted to 1 mL and optically characterized. Other fractions were not diluted and were saved for further sorting in subsequent density gradients.
  • Photoluminescence spectra were measured using a Horiba Jobin-Yvon (Edison, N.J.) Nanolog-3 fluorimeter with a double excitation-side and a single emission-side monochromator, both set to band pass slit widths ranging from of 10-14.7 nm.
  • the photoluminescence was detected using a liquid nitrogen cooled InGaAs photodiode.
  • a 3-mm thick RG-850 Schott glass filter (Melles Griot, Carlsbad, Calif.) was used to block second order Rayleigh scattering in the emission monochromator.
  • FIG. 11 illustrates the fitting of photoluminescence spectra for determination of relative SWNT concentration.
  • FIG. 11( a ) plots photoluminescence intensity as a function of excitation and emission wavelengths (vertical and horizontal axes, respectively).
  • FIG. 11( b ) plots photoluminescence intensity versus excitation wavelength at 740 nm. Both broadly varying background photoluminescence from off resonance SWNTs and emission from the (7, 5) semiconducting SWNT were observed (black arrows). To minimize the effects of the slowly varying background, a derivative method similar to that applied to analyze absorbance spectra was then applied to extract the relative concentration of specific (n, m) chiralities. Specifically, the partial derivative of photoluminescence intensity versus excitation wavelength was computed ( FIGS. 11( c ) and 11 ( d )).
  • the strength of the (7, 5) chirality was determined from the amplitude of the partial derivative, depicted as a black line in FIG. 11( d ).
  • the effects of re-absorption of emitted photoluminescence and the decay the excitation beam intensities were also corrected.
  • the data obtained in this example illustrate how successive separations of SC-encapsulated SWNTs can lead to much improved isolation of specific, targeted chiralities and produce corresponding increasingly narrow diameter distributions of SWNTs.
  • FIG. 12 depicts the photoluminescence intensity of semiconducting SWNTs as a function of excitation and emission wavelengths before and after each of three iterations of density gradient centrifugation. After each iteration, the relative concentrations of the (6, 5) and (7, 5) chiralities of semiconducting SWNTs was observed to have increased. After enriching the (6, 5) chirality (7.6 ⁇ ) three times, bulk solutions of the SWNTs were achieved in which >97% of the SWNTs are of the (6, 5), (9, 1), and (8, 3) chiralities (7.6 ⁇ , 7.6 ⁇ , and 7.8 ⁇ in diameter, respectively) (Table 2).
  • FIG. 13 shows optical spectra corresponding to the photoluminescence spectra in FIG. 12 .
  • FIG. 13( a ) shows absorbance spectra from the (6, 5) optimization. Starting from the unsorted material (dashed grey line, unsorted), the relative strengths of the (6, 5) chirality optical transitions at 471 nm and 982 nm (highlighted) are increasingly reinforced with each iteration.
  • FIG. 13( b ) shows absorbance spectra from the (7, 5) optimization. Over three iterations of sorting, the (7, 5) optical transition at 1031 nm (highlighted) is strongly enhanced compared to the unseparated material (dashed grey line, unsorted).
  • the ratio (by weight) of an anionic alkyl amphiphile (e.g., SDS, SDBS, or combinations thereof) to a bile salt (e.g., SC, sodium deoxycholate, sodium taurodeoxycholate, or combinations thereof) can be about 1:10 to about 2:1, such as about 1:8, about 1:6, about 1:4, about 1:3, about 1:2, about 3:4, about 1:1, about 5:4, about 6:5, about 3:2, about 7:4, about 2:1.
  • the ratio can be about 1:10 to about 1:2, such as about 1:8 to about 1:3.
  • the ratio can be about 5:4 to about 2:1, such as about 6:5 to about 7:4.
  • each part of the gradient contained 0.4% w/v SDS and 1.6% w/v SC.
  • the SWNTs were still initially dispersed via ultrasonication in single surfactant solutions of SC and that co-surfactant, in all cases SDS, was only introduced at the density gradient ultracentrifugation stage.
  • HiPCO-grown SWNTs based on nanotube diameter dimensions using a co-surfactant system including 1:4 SDS:SC (by weight): Same procedures as those described immediately above for separation of CoMoCAT-grown SWNTs were followed except that HiPCO-grown SWNTs (raw, not purified) from Carbon Nanotechnologies, Inc. were used rather than CoMoCAT-grown SWNTs.
  • the gradient-portion linearly varied from 15% w/v (1.08 g cm ⁇ 3 ) at the top to 30% w/v (1.16 g cm ⁇ 3 ) at the bottom or from 20% w/v (1.11 g cm ⁇ 3 ) at the top to 35% w/v (1.19 g cm ⁇ 3 ) at the bottom.
  • FIGS. 14( a ) and 14 ( b ) Similar to FIGS. 14( a ) and 14 ( b ), the relative concentration of several different diameters (7.6, 8.3, and 9.8/10.3 ⁇ ) of SWNTs is plotted against density for a mixture of 1:4 SDS:SC (by weight) in FIG. 14( c ). Comparing FIG. 14( c ) to FIG. 14( a ), it can be seen that by adding SDS to compete with the SC for non-covalent binding to the nanotube surface, the SWNTs in the 8.3 and 9.8/10.3 ⁇ diameter regime shifted to significantly larger buoyant densities, enabling optimal separation of SWNTs near 7.6 ⁇ in diameter ((6, 5) chirality).
  • FIG. 15( a ) depicts the photoluminescence intensity of a heterogeneous population of HiPCO-grown SWNTs as a function of excitation and emission wavelengths before density gradient centrifugation.
  • one of the strongest signals were observed at an emission wavelength of about 980 nm (and an excitation wavelength of about 570 nm), which corresponds to a nanotube diameter dimensions of about 7.5 ⁇ .
  • a barely noticeable signal was observed at an emission wavelength of about 1190 nm (and an excitation wavelength of about 800 nm), and at an emission wavelength of about 1210 nm (and an excitation wavelength of about 790 nm), both of which correspond to a nanotube diameter dimensions of about 10.5 ⁇ .
  • one of the two separation fractions contained predominantly nanotubes that emit at an emission wavelength in the range of about 960 nm to about 980 nm. More specifically, the strongest signal was observed at an emission wavelength of about 980 nm (and an excitation wavelength of about 570 nm).
  • the spectra indicate that this separation fraction contained predominantly single-walled carbon nanotubes having a diameter dimension of about 7.5 ⁇ .
  • FIG. 16( a ) is a photograph of laser-ablation-synthesized SWNTs separated in a co-surfactant system (1:4 SDS:SC). As shown in FIG. 16( a ), only three bands were observed. The difference in density between the two bands was measured to be 0.006 g cm ⁇ 3 , and the density for the top band was measured to be 1.12 ⁇ 0.02 g cm ⁇ 3 . From the measured optical absorbance spectra ( FIG.
  • top band (orange hue) consists of predominantly semiconducting SWNTs (plotted in blue in FIG. 16( b )), and that the band just below the top band (green hue) is highly enriched in metallic SWNTs, although some semiconducting SWNTs remain (plotted in red in FIG. 16( b )).
  • the absorbance spectrum of the heterogeneous mixture before sorting is plotted as a dashed grey line in FIG. 16( b ).
  • S 6 which includes the unoptimized spectrum from FIG. 16( b ) using the co-surfactant mixture of 1:4 SDS:SC (as open star symbols) and the optimized spectrum from FIG. 17 using the co-surfactant mixture of 3:2 SDS:SC (as open circles).
  • the arrows highlight the strengthening of the signal in the M11 range, and the suppression of the signals in the S33 and S22 ranges.
  • FIG. 19 compares the optical absorbance spectra of unsorted laser-ablation-synthesized SWNTs with sorted semiconducting laser-ablation-synthesized SWNTs, where the laser-ablation-synthesized SWNTs were further obtained from three different sources: raw, unpurified laser ablation-synthesized SWNTs obtained from Carbon Nanotechnologies, Inc. (Batch A); nitric acid purified laser ablation-synthesized SWNTs obtained from IBM (Batch B); and nitric acid purified laser ablation-synthesized SWNTs obtained from IBM (Batch C).
  • the three sorted spectra are comparable in their general profiles to the sample shown in FIG. 16 .
  • FIG. 20 shows the optical absorption spectra of unsorted (as open star symbols), sorted metallic (as open triangles), and sorted semiconducting (as open diamond symbols) SWNTs.
  • the asterisk symbol at about 900 nm identifies optical absorption from spurious semiconducting SWNTs.
  • the asterisk symbol at about 600 nm identified optical absorption from spurious metallic SWNTs.
  • the amplitude of absorption from the M 11 transitions (475-700 nm) and the S22 transitions (800-1150 nm) was used to determine the relative concentration of semiconducting and metallic SWNTs, respectively, in each sample ( FIG. 20 ).
  • the measured amplitude of absorption was determined by subtracting the background absorption, which was determined by linearly interpolating the background underneath an absorption peak.
  • FIGS. 21-23 show the background baseline from which the amplitude of absorption was subtracted to obtain the measured amplitude. Because equal masses or concentrations of metallic and semiconducting SWNTs will have different strength of optical absorbance, the amplitude of absorption of metallic SWNTs first had to be scaled for relative comparison with the amplitude of absorption of semiconducting SWNTs. The scaling coefficient was determined from the unsorted sample, which was known to be composed of 66.7% semiconducting SWNTs and 33.3% metallic SWNTs.
  • Table 3 below shows that in the sample optimized for separation of metallic SWNTs ( FIG. 20 ), 99.3% of the SWNTs were metallic and 0.7% of the SWNTs were semiconducting. In the sample optimized for separation of semiconducting SWNTs ( FIG. 20 ), 97.4% of the SWNTs were semiconducting and 2.6% of the SWNTs were metallic.
  • Typical yields of sorting experiments can be estimated through optical absorbance spectra taken before and after each step of the separation process.
  • SWNTs optical absorbance spectra taken before and after each step of the separation process.
  • roughly one quarter of the as-produced SWNT material is successfully encapsulated as either individual SWNTs or small bundles of SWNTs, with the remaining carbonaceous impurities, large SWNT aggregates, and insoluble species removed after the short centrifugation step.
  • the solution processed SWNTs can then be incorporated into density gradients for sorting.
  • SWNT solution For each gradient, an average of 400 ⁇ L of SWNT solution ( ⁇ 250 ⁇ g mL ⁇ 1 SWNT loading) is infused into each centrifuge tube, resulting in ⁇ 100 ⁇ g of SWNT starting material per experiment. It is important to note, however, that this starting material consists of a mixture of individually encapsulated SWNTs, which can be sorted by diameter and electronic type, and of small bundles of SWNTs, for which such separation is unlikely. As a result, the yield of the separation experiments is highly dependent on the efficient encapsulation of individual SWNTs by surfactant.
  • the allocation of the starting SWNT material to points in the density gradient after sorting can be estimated by optical absorbance spectra of the fractionated material. This approximate yield is calculated by collecting the absorbance of each fraction at a wavelength of interest and normalizing by the absorbance of the starting solution at the same wavelength. For instance, for laser-ablation-grown SWNTs, we can assess the yield of semiconducting nanotubes in the 1:4 SDS:SC sorting experiment ( FIGS. 16( a )-( b )) by tracking the starting material-normalized absorbance at 942 nm, which corresponds to the peak of the second order semiconductor transitions ( FIG. 24( a )).
  • the peak semiconducting fraction contains >9% of the starting material ( ⁇ 9 ⁇ g), corresponding to an overall yield of approximately 2.3%.
  • gram quantities of SWNTs could be sorted according to diameter and/or electronic type. Multiple centrifugations can be run in parallel and/or in series, and their resultant yields can be added together to achieve kilogram quantities or more of sorted SWNTs.
  • FIG. 25( a ) shows a periodic array of source and drain electrodes (scale bar 40 ⁇ m, gap 20 ⁇ m).
  • the percolating networks were formed via vacuum filtration of the purified SWNTs dispersed in surfactant solutions through porous mixed cellulose ester (MCE) membranes (0.02 ⁇ m, Millipore Corporation) following the methods of Wu et al. (Z. C. Wu et al., Science 305, 1273 (2004)). After filtration of the SWNT solution, the network was allowed to dry for 30 minutes to set and then was rinsed by 10-20 mL of deionized water to remove residual surfactant and iodixanol from the network, leaving a network of bare SWNTs behind.
  • MCE mixed cellulose ester
  • the networks on top of the MCE membranes were then transferred to Si (100) substrates capped with 100 nm thermally-grown SiO 2 (Silicon Quest International).
  • the MCE membrane was wet with deionized water and pressed into the SiO 2 surface (SWNTs in contact with SiO 2 ) for 2 minutes between two glass slides. The slides were removed and the MCE membranes were allowed to dry for several minutes on the SiO 2 substrates.
  • the substrates were then rinsed in 3 sequential acetone baths for 15 minutes each to dissolve the MCE membranes, followed by a rinse in methanol. Then, the networks of SWNTs on the substrates were blown dry in a stream of N 2 gas.
  • the densities (SWNTs per unit area) of the networks were controlled by adjusting the volume of the fractions of SWNTs that were filtered. Quantitative measurements of the network densities were determined by measuring the optical density of the SWNTs in solution before filtration and via atomic force microscopy (AFM) after filtration and subsequent transfer to substrates.
  • AFM atomic force microscopy
  • Arrays of electrodes (Au, 30 nm) were lithographically defined on top of the percolating networks using a TEM grid as a shadow mask (300 mesh, Cu, SPI Supplies, West Chester, Pa.; pitch 83 ⁇ m, bar width 25 ⁇ m) in an e-beam evaporator. After evaporation, the substrates were then rinsed in acetone, 2-propanol, and then water, followed by annealing at 225° C. in air for 20 minutes.
  • the percolating networks of metallic and semiconducting SWNTs were electrically characterized in a field-effect transistor (FET) geometry using two source-meter units (KE2400, Keithley, Inc.).
  • FET field-effect transistor
  • a gate bias was applied to the underlying Si substrate, which served as the gate electrode, to modulate the carrier concentration in the SWNT network.
  • a bias of up to 5 V was applied between two of the neighboring electrodes, created from the TEM grid shadow mask, which served as the source and drain.
  • the gate leakage current and the source-drain current were both measured. In all cases, the source-drain current significantly exceeded the gate leakage current.
  • Sweeps of the gate bias were made from negative to positive bias. Hysteresis was observed depending on the sweep direction due to the presence of mobile charge, an effect routinely observed in SWNT FET devices fabricated on 100 nm thick SiO 2 gate dielectrics.
  • each percolating network For each percolating network, several devices were characterized via contact mode AFM (512 512 resolution, 3-20 ⁇ m image sizes, contact force ⁇ 10 nN). During imaging, the contact force was kept at a minimum to limit the mechanical perturbation of the network. The images of the networks were analyzed to determine the percolation density (SWNTs per unit area). Each percolating pathway was traced to determine the total pathway length per unit area of the network ( FIG. 26 ). In FIGS. 26( a )-( b ), an image and trace, respectively, of the thin film, semiconducting network (electrically characterized in FIG. 25( d )) are shown. The trace corresponds to 22.1 ⁇ m of conducting pathway per square ⁇ m of the substrate.
  • the semiconducting networks were created first and then characterized electrically and via AFM. Then, to make comparison between the metallic and semiconducting networks equitable, the metallic networks were created such that their percolation densities were equal to or less than the semiconducting network.
  • the electronic mobility of the semiconducting SWNT networks was estimated by fitting the source-drain current versus the gate bias for a fixed source-drain bias in the “on” regime (V g ⁇ V T ) of the FETs to a straight line ( FIG. 25( d ), inset).
  • I ds ⁇ C ox *(W/L)*(V g ⁇ V t )*V ds
  • I ds is the source-drain current
  • ⁇ the mobility
  • C ox is the oxide capacitance
  • W is the channel width
  • L is the channel thickness
  • V g is the gate bias
  • V t the gate threshold bias
  • V ds is the source-drain bias.
  • both networks exhibited similar sheet resistances of about 500 k ⁇ square ⁇ 1 .
  • the resistivity of the semiconducting network was increased by over 4 orders of magnitude (on/off ratio >20,000).
  • the metallic networks were significantly less sensitive to the applied gate bias characterized by on/off ratios of less than two (switching ratios larger than 1 may indicate perturbations to the electronic band-structure of the metallic SWNTs at tube-endpoints or tube-tube contacts or resulting from tube-bending or chemical defects).
  • the two distinct behaviors of the semiconducting and metallic films independently confirm the separation by electronic type initially observed by optical absorption spectroscopy ( FIG. 17 ).
  • the two films establish the applicability of the method of the present teachings in producing usable quantities of purified, functional material.
  • a single fraction of purified semiconducting SWNTs (150 ⁇ L) contains enough SWNTs for 20 cm 2 of a thin film network similar to that demonstrated in FIG. 25 , corresponding to >10 11 SWNTs.
  • a population of SWNTs can include about 10 or more SWNTs, such as >10 SWNTs, >50 SWNTs, >100 SWNTs, >250 SWNTs, >500 SWNTs, >10 3 SWNTs, >10 4 SWNTs, >10 5 SWNTs, >10 6 SWNTs, >10 7 SWNTs, >10 8 SWNTs, >10 9 SWNTs, >10 10 SWNTs, or >10 11 SWNTs.
  • a population of SWNTs can have a mass of about 0.01 ⁇ g, such as >0.01 ⁇ g, >0.1 ⁇ g, >1 ⁇ g, >0.01 mg, >0.1 mg, >1 g, >10 g, or >100 g.
  • Such thin film networks have applications as flexible and transparent semiconductors and conductors.
  • characterization under conditions of the sort described herein, can reflect SWNT quantities in accordance herewith.
  • Such quantities are representative of bulk SWNTs available through the present teachings, and can be a further distinction over prior art methods and materials.

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