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The values obtained in the lateral scan comparing the maximum collected signal on each side are not symmetric with respect to the half depth of the detector (i.e. the values shown in Fig. 8-right are confined in the asymmetric range [−0.8, 0.6]), conversely to the distribution of the calibration values used for the method of the cluster size asymmetry that is ranging in approximately [−0.4, 0.4].
For different point source radial positions along vertical and horizontal axes of a FOV transaxial plane we compare the results obtained by three methods: without DOI information, with the DOI provided by our system and with the assumption that all the γ-rays interact at half depth of the crystal thickness.
This study presents a new laboratory reflectance spectroscopy method that characterizes soil spectra in terms of the positions, depths, asymmetries at half depth, and widths at half depth of the clay diagnostic absorption bands (1400 nm, 1900 nm, and 2200 nm).
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The half depth (HD) of a point x in R d with respect to a probability measure P on R d is defined as the minimum probability mass carried by any closed half space containing x; that is, (1) HD (x, P ) = inf { P (H ) : H is a closed half space, x ∈ H }, x ∈ R d.
and had a half-depth of 2.55 ± 0.2 μm and a width of 31 ± 2 μm.
The cross-shaped microchannels had a half-depth of 2.52 ± 0.2 μm and a width of 42 ± 2 μm.
For the calculations, ζ-potentials measured in a microchannel with a half-depth of 2.5 μm are used and range from −6 to −73 mV for 500 to 0.1 mM NaCl, respectively.
We measured the ionic conductivities in the nanochannels with half-depths of 27, 54, and 108 nm for NaCl solutions from 0.1 to 1000 mM and compared their conductivities with the conductivities of the bulk solutions and a microchannel with a half-depth of 2.5 μm.
We fabricated three nanochannel devices with half-depths of 27 ± 2 nm, four nanochannel devices with half-depths of 54 ± 3 nm, and two nanochannel devices with half-depths of 108 ± 5 nm.
Our nanochannels are shallow rectangles and have aspect ratios (w/ h) of 9.8, 4.9, and 2.5 for channel half-depths of 27, 54, and 108 nm, respectively.
We measured the average electroosmotic mobilities and ionic conductivities in channels with half-depths of 27 nm, 54 nm, 108 nm, and 2.5 μm for NaCl concentrations from 0.1 to 500 mM.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com