Length Distribution

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The Experts below are selected from a list of 315 Experts worldwide ranked by ideXlab platform

Chuck Zhang - One of the best experts on this subject based on the ideXlab platform.

  • statistical characterization of single wall carbon nanotube Length Distribution
    Nanotechnology, 2006
    Co-Authors: Shiren Wang, Zhiyong Liang, Ben Wang, Chuck Zhang
    Abstract:

    This paper describes an effective method for quantifying the Length and Length Distribution of large populations of single-wall carbon nanotubes using atomic force microscopy and SIMAGIS software. The results of the measurements were modelled with the Weibull Distribution, resulting in a statistically confirmed fit. The fitted Weibull Distribution was used to predict the Length effect factor and elastic modulus as functions of nanotube properties in composite materials. The prediction shows that the Length factor for the elastic modulus tends to increase with enhanced loading but decrease with rising rope diameter. The statistical characterization presented indicates a pathway for the future theoretical modelling and related experimental investigation of carbon nanotube application.

Yuan Chen - One of the best experts on this subject based on the ideXlab platform.

  • chemometric determination of the Length Distribution of single walled carbon nanotubes through optical spectroscopy
    Analytica Chimica Acta, 2011
    Co-Authors: Ke Wang, Tao Chen, Yuan Chen
    Abstract:

    Current synthesis methods for producing single walled carbon nanotubes (SWCNTs) do not ensure uniformity of the structure and properties, in particular the Length, which is an important quality indicator of SWCNTs. As a result, sorting SWCNTs by Length is an important post-synthesis processing step. For this purpose, convenient analysis methods are needed to characterize the Length Distribution rapidly and accurately. In this study, density gradient ultracentrifugation was applied to prepare Length-sorted SWCNT suspensions containing individualized surfactant-wrapped SWCNTs. The Length of sorted SWCNTs was first determined by atomic force microscope (AFM), and their absorbance was measured in ultraviolet-visible near-infrared (UV-vis-NIR) spectroscopy. Chemometric methods are used to calibrate the spectra against the AFM-measured Length Distribution. The calibration model enables convenient analysis of the Length Distribution of SWCNTs through UV-vis-NIR spectroscopy. Various chemometric techniques are investigated, including pre-processing methods and non-linear calibration models. Extended inverted signal correction, extended multiplicative signal correction and Gaussian process regression are found to provide good prediction of the Length Distribution of SWCNTs with satisfactory agreement with the AFM measurements. In summary, spectroscopy in conjunction with advanced chemometric techniques is a powerful analytical tool for carbon nanotube research.

James D. Meindl - One of the best experts on this subject based on the ideXlab platform.

  • a three dimensional stochastic wire Length Distribution for variable separation of strata
    International Interconnect Technology Conference, 2000
    Co-Authors: J W Joyner, Jeffrey A. Davis, Payman Zarkeshha, James D. Meindl
    Abstract:

    A complete wire-Length Distribution for future three-dimensional, homogeneous gigascale integrated (GSI) architectures with variable vertical separation of strata is derived. Because stratal pitch was not found to impact the wire-Length Distribution significantly, bonded three-dimensional implementations which are technologically feasible can be used to obtain large increases in global clock frequencies. The longest interconnect can be reduced by 30% through the introduction of a single additional stratum. A 93% reduction in the Length of the longest interconnect can be obtained through the optimal use of a three-dimensional architecture for a 100 nm ASIC, potentially leading to a 15.8 times increase in global clock frequency.

  • A stochastic wire-Length Distribution for gigascale integration (GSI). I. Derivation and validation
    IEEE Transactions on Electron Devices, 1998
    Co-Authors: Jeffrey A. Davis, James D. Meindl
    Abstract:

    Based on Rent's Rule, a well-established empirical relationship, a rigorous derivation of a complete wire-Length Distribution for on-chip random logic networks is performed. This Distribution is compared to actual wire-Length Distributions for modern microprocessors, and a methodology to calculate the wire-Length Distribution for future gigascale integration (GSI) products is proposed.

  • A stochastic wire Length Distribution for gigascale integration (GSI)
    Proceedings of CICC 97 - Custom Integrated Circuits Conference, 1
    Co-Authors: Jeffrey A. Davis, James D. Meindl
    Abstract:

    Based on Rent's Rule, a well established empirical relationship, a rigorous derivation of a complete wire Length Distribution for on-chip random logic networks is performed. This Distribution is used to enhance a critical path model; to derive a preliminary dynamic power dissipation model; and to describe optimal architectures for multilevel wiring networks that provide maximum interconnect density.

Tao Chen - One of the best experts on this subject based on the ideXlab platform.

  • chemometric determination of the Length Distribution of single walled carbon nanotubes through optical spectroscopy
    Analytica Chimica Acta, 2011
    Co-Authors: Ke Wang, Tao Chen, Yuan Chen
    Abstract:

    Current synthesis methods for producing single walled carbon nanotubes (SWCNTs) do not ensure uniformity of the structure and properties, in particular the Length, which is an important quality indicator of SWCNTs. As a result, sorting SWCNTs by Length is an important post-synthesis processing step. For this purpose, convenient analysis methods are needed to characterize the Length Distribution rapidly and accurately. In this study, density gradient ultracentrifugation was applied to prepare Length-sorted SWCNT suspensions containing individualized surfactant-wrapped SWCNTs. The Length of sorted SWCNTs was first determined by atomic force microscope (AFM), and their absorbance was measured in ultraviolet-visible near-infrared (UV-vis-NIR) spectroscopy. Chemometric methods are used to calibrate the spectra against the AFM-measured Length Distribution. The calibration model enables convenient analysis of the Length Distribution of SWCNTs through UV-vis-NIR spectroscopy. Various chemometric techniques are investigated, including pre-processing methods and non-linear calibration models. Extended inverted signal correction, extended multiplicative signal correction and Gaussian process regression are found to provide good prediction of the Length Distribution of SWCNTs with satisfactory agreement with the AFM measurements. In summary, spectroscopy in conjunction with advanced chemometric techniques is a powerful analytical tool for carbon nanotube research.

Shiren Wang - One of the best experts on this subject based on the ideXlab platform.

  • statistical characterization of single wall carbon nanotube Length Distribution
    Nanotechnology, 2006
    Co-Authors: Shiren Wang, Zhiyong Liang, Ben Wang, Chuck Zhang
    Abstract:

    This paper describes an effective method for quantifying the Length and Length Distribution of large populations of single-wall carbon nanotubes using atomic force microscopy and SIMAGIS software. The results of the measurements were modelled with the Weibull Distribution, resulting in a statistically confirmed fit. The fitted Weibull Distribution was used to predict the Length effect factor and elastic modulus as functions of nanotube properties in composite materials. The prediction shows that the Length factor for the elastic modulus tends to increase with enhanced loading but decrease with rising rope diameter. The statistical characterization presented indicates a pathway for the future theoretical modelling and related experimental investigation of carbon nanotube application.