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What is Variation?01:14

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Apart from the measures of central tendency, distribution, outliers, and the changing characteristics of data with time, an important characteristic of any data set is its variation or spread. In some data sets, the data values are concentrated closely near the mean; in others, the data values are more widely spread out from the mean.
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An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the torque...
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Variation01:19

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An important characteristic of any set of data is the variation in the data. In some data sets, the data values are concentrated closely near the mean; in other data sets, the data values are more widely spread out from the mean. The most common measure of variation, or spread, is the standard deviation, which is the square root of variance.
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Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at the free end. The highest shearing strain within the shaft is directly proportional to the twist angle and the radial distance from the shaft axis. When the shaft behaves elastically, this shearing strain can be articulated using variables such as the applied torque, radial distance, the polar moment of inertia, and the modulus of rigidity. By...
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Conservative Site-specific Recombination and Phase Variation02:53

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Because the DNA segments are cut and reorganized in a direction-specific manner, site-specific recombination has emerged as an efficient genetic engineering technique. Flippase and Cyclization recombinases or Flp and Cre, respectively, are two members of the tyrosine recombinase family derived from bacteriophages, that are used to mediate site-specific DNA insertions, deletions, and targeted expression of proteins in mammalian cell lines.
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Change in atmospheric pressure with height is particularly interesting. The decrease in atmospheric pressure with increasing altitude is due to the decreasing gravitational force per unit area as we move away from the surface of the earth.
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Work Function Variations in Twisted Graphene Layers.

Jeremy T Robinson1, James Culbertson2, Morgann Berg3

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Summary
This summary is machine-generated.

Graphene's surface potential is significantly altered by both layer orientation and thickness. These factors are crucial for designing advanced two-dimensional materials and devices.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Surface Science

Background:

  • Graphene's unique electronic properties are highly sensitive to its structural characteristics.
  • Understanding surface potential variations is critical for tailoring graphene-based devices.

Purpose of the Study:

  • To investigate how graphene's layer orientation and thickness influence its surface potential.
  • To establish correlations between morphological features and surface potential changes.

Main Methods:

  • Combined optical imaging, Raman spectroscopy, Kelvin Probe Force Microscopy (KPFM), and Photoemission Electron Microscopy (PEEM).
  • Detailed mapping of variable-thickness, rotationally-faulted graphene films.
  • Measurement of surface potential changes (ΔΦ) with KPFM and PEEM.

Main Results:

  • Surface potential (Φ) changes up to 39 mV due to different twist angles and 36-129 mV for varying layer thicknesses.
  • Surface potential variations were resolved at KPFM instrument resolution (≤ 200 nm).
  • Φ scales linearly with Raman G-peak wavenumber shift, indicating doping-dependent Fermi energy changes.

Conclusions:

  • Both layer orientation and thickness are critical parameters influencing graphene's surface potential.
  • These findings are essential for the design of multilayer two-dimensional systems.
  • Surface potential can be precisely tuned by controlling graphene's structural attributes.