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https://www.selleckchem.com/products/OSI-906.html 2D topological insulator edge states are considered within the Volkov-Pankratov Hamiltonian. A smooth transition between a topological and ordinary insulator is assumed. The edge states are formed in the total gap of homogeneous 2D material. We found the energy spectrum, wave functions, together with the matrix elements of the impurity potential, and the velocity operator between these states. A pair of states have linear dispersion (the Weyl states), others have gapped Dirac spectra. Optical selection rules are found. It is stated that the Weyl states do not experience the backscattering, while the elastic scattering is permitted between the Dirac states or between the Weyl and Dirac states.Methylene blue (MB) is one of the most dangerous dyes found in numerous industries' wastewaters. Thus, the effect of suspended Pt nanoparticles (NPs) on the adsorption capability of TiO2NPs towards MB was investigated in this research. Factors affecting (adsorbate initial concentration, agitation time, solution pH, and temperature) the adsorption capacity of MB on the modified TiO2NPs were also studied. It was found that the first two factors have a positive effect, the temperature has an adverse impact, and the maximum uptake was observed when pH is 11. Isotherm parameters of Langmuir, Freundlich, and Timken models were determined. Langmuir's model was found to be the best one for analyzing the experimental data. The adsorption capacities obtained were 100.61, 90.66, and 80.26 mg g-1at 25 °C, 40 °C, and 55 °C, respectively. 1storder, 2ndorder, and intra-particle diffusion kinetic models were utilized to analyze experimental data. It found that these data were explained well by the 2ndorder model, indicating that this adsorption is chemisorption. Thermodynamic parameters were also determined, and the results obtained suggest that this adsorption is an exothermic and spontaneous process. The findings show that TiO2NPs modified by

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