Physical Observations for Mixed Matrix Formulation

The relative intensities of the ED spots in a cross-grating pattern can be calculated using N-beam electron diffraction theory. The scattering matrix formulation of N-beam ED theory has been previously applied to imperfect microcrystals of gold containing stacking disorder (coherent twinning) in the (111) crystal plane. In the present experiment an effort has been made to grow single-crystalline, defect-free (111) gold films of a uniform and accurately know thickness using vacuum evaporation techniques. These represent stringent conditions to be met experimentally; however, if a meaningful comparison is to be made between theory and experiment, these factors must be carefully controlled. It is well-known that crystal morphology, perfection, and orientation each have pronounced effects on relative intensities in single crystals.The double evaporation method first suggested by Pashley was employed with some modifications. Oriented silver films of a thickness of about 1500Å were first grown by vacuum evaporation on freshly cleaved mica, with the substrate temperature at 285° C during evaporation with the deposition rate at 500-800Å/sec.

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The Convex Polytopes and Homogeneous Coordinate Rings of Bivariate Polynomials

Scientific Research Journal ◽

10.24191/srj.v16i2.9346 ◽

2019 ◽

Vol 16 (2) ◽

pp. 1

Author(s):

Shamsatun Nahar Ahmad ◽

Nor’Aini Aris ◽

Azlina Jumadi

Keyword(s):

Convex Polytopes ◽

Polynomial Systems ◽

Matrix Formulation ◽

Bivariate Polynomials ◽

Homogeneous Coordinates ◽

The Matrix ◽

Projective Vector ◽

Coordinate Rings ◽

Resultant Matrix ◽

The Given

Concepts from algebraic geometry such as cones and fans are related to toric varieties and can be applied to determine the convex polytopes and homogeneous coordinate rings of multivariate polynomial systems. The homogeneous coordinates of a system in its projective vector space can be associated with the entries of the resultant matrix of the system under consideration. This paper presents some conditions for the homogeneous coordinates of a certain system of bivariate polynomials through the construction and implementation of the Sylvester-Bèzout hybrid resultant matrix formulation. This basis of the implementation of the Bèzout block applies a combinatorial approach on a set of linear inequalities, named 5-rule. The inequalities involved the set of exponent vectors of the monomials of the system and the entries of the matrix are determined from the coefficients of facets variable known as brackets. The approach can determine the homogeneous coordinates of the given system and the entries of the Bèzout block. Conditions for determining the homogeneous coordinates are also given and proven.

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Long-Term Stable Metal Organic Framework (MOF) Based Mixed Matrix Membranes for Ultrafiltration

10.26434/chemrxiv.13399367 ◽

2020 ◽

Author(s):

Muayad Al-shaeli ◽

Stefan J. D. Smith ◽

Shanxue Jiang ◽

Huanting Wang ◽

Kaisong Zhang ◽

...

Keyword(s):

Contact Angle ◽

Water Contact Angle ◽

Mixed Matrix Membranes ◽

Recovery Ratio ◽

Mixed Matrix ◽

Water Contact ◽

Membrane Performance ◽

Metal Organic ◽

Matrix Membranes

In this study, novel <a>mixed matrix polyethersulfone (PES) membranes</a> were synthesized by using two different kinds of metal organic frameworks (MOFs), namely UiO-66 and UiO-66-NH2. The composite membranes were characterised by SEM, EDX, FTIR, PXRD, water contact angle, porosity, pore size, etc. Membrane performance was investigated by water permeation flux, flux recovery ratio, fouling resistance and anti-fouling performance. The stability test was also conducted for the prepared mixed matrix membranes. A higher reduction in the water contact angle was observed after adding both MOFs to the PES and sulfonated PES membranes compared to pristine PES membranes. An enhancement in membrane performance was observed by embedding the MOF into PES membrane matrix, which may be attributed to the super-hydrophilic porous structure of UiO-66-NH2 nanoparticles and hydrophilic structure of UiO-66 nanoparticles that could accelerate the exchange rate between solvent and non-solvent during the phase inversion process. By adding the MOFs into PES matrix, the flux recovery ratio was increased greatly (more than 99% for most mixed matrix membranes). The mixed matrix membranes showed higher resistance to protein adsorption compared to pristine PES membranes. After immersing the membranes in water for 3 months, 6 months and 12 months, both MOFs were stable and retained their structure. This study indicates that UiO-66 and UiO-66-NH2 are great candidates for designing long-term stable mixed matrix membranes with higher anti-fouling performance.

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Faculty Opinions recommendation of The formal demography of kinship: A matrix formulation.

Faculty Opinions – Post-Publication Peer Review of the Biomedical Literature ◽

10.3410/f.736613836.793565224 ◽

2019 ◽

Author(s):

Shripad Tuljapurkar

Keyword(s):

Matrix Formulation

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Dual Layer Mixed Matrix Hollow Fiber Membranes for Outside-In Filtration of Human Blood Plasma

SSRN Electronic Journal ◽

10.2139/ssrn.3676727 ◽

2020 ◽

Author(s):

O.E.M. ter Beek ◽

M.K. van Gelder ◽

C. Lokhorst ◽

D.H.M. Hazenbrink ◽

B.H. Lentferink ◽

...

Keyword(s):

Blood Plasma ◽

Human Blood ◽

Hollow Fiber ◽

Human Blood Plasma ◽

Hollow Fiber Membranes ◽

Mixed Matrix ◽

Fiber Membranes

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Porous covalent triazine piperazine polymer (CTPP)/PEBAX mixed matrix membranes for CO2/N2 and CO2/CH4 separations

Journal of Membrane Science ◽

10.1016/j.memsci.2019.117348 ◽

2019 ◽

Vol 591 ◽

pp. 117348 ◽

Cited By ~ 5

Author(s):

Roshni L. Thankamony ◽

Xiang Li ◽

Swapan K. Das ◽

Mayur M. Ostwal ◽

Zhiping Lai

Keyword(s):

Mixed Matrix Membranes ◽

Mixed Matrix ◽

Matrix Membranes

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Mixed matrix membranes with molecular-interaction-driven tunable free volumes for efficient bio-fuel recovery

Journal of Materials Chemistry A ◽

10.1039/c4ta05881j ◽

2015 ◽

Vol 3 (8) ◽

pp. 4510-4521 ◽

Cited By ~ 74

Author(s):

Gongping Liu ◽

Wei-Song Hung ◽

Jie Shen ◽

Qianqian Li ◽

Yun-Hsuan Huang ◽

...

Keyword(s):

Polymer Chain ◽

Molecular Interactions ◽

Molecular Interaction ◽

Chain Conformation ◽

Mixed Matrix Membranes ◽

Mixed Matrix ◽

Polymer Chain Conformation ◽

Matrix Membranes

Molecular interactions were constructed to control polymer chain conformation to fabricate mixed matrix membranes with tunable free volumes, exhibiting simultaneously improved butanol permeability and selectivity.

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