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Manjeet

Publications and source records attributed to Manjeet.

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The Study of Hydrophilicity and Optical Properties of Zn and N-doped TiO$_{2}$ Thin Films

Among the wide bandgap semiconductors, TiO$_{2}$ is the highly stable and cost-efficient semiconductor used for the different photocatalysis processes like water splitting, chemical waste degradation, anti-micro bacterial activities, and more. Materials showing high hydrophilicity (surface phenomenon) with low bandgap are required to improve photocatalysis efficiency. We report the synthesis of Zn (4 wt.%) and N (4 wt.%) doped TiO$_{2}$ thin films using the spin coating technique to improve surface wettability. The XRD pattern shows the growth of the pure anatase phase of TiO$_{2}$. UV absorption spectra show a minor increment in the bandgap of the Zn and N doped TiO$_{2}$ thin films. The water contact angle with pure TiO$_{2}$ is 33.45{\deg} and reduces to 17.94{\deg} after 4wt% doping of Zn and N. The results show the enhanced hydrophilicity in the Zn and N doped TiO$_{2}$ thin films.

cond-mat.mtrl-sci

Co-Prime Order graph of a finite abelian Group and Dihedral Group

The \textbf{Co-Prime Order Graph} $\Theta (G)$ of a given finite group is a simple undirected graph whose vertex set is the group $G$ itself, and any two vertexes x,y in $\Theta (G)$ are adjacent if and only if $gcd(o(x),o(y))=1$ or prime. In this paper, we find a precise formula to count the degree of a vertex in the Co-Prime Order graph of a finite abelian group or Dihedral group $D_n$.We also investigate the Laplacian spectrum of the Co-Prime Order Graph $\Theta (G)$ when G is finite abelian p-group, ${\mathbb{Z}_p}^t \times {\mathbb{Z}_q}^s$ or Dihedral group $D_{p^n}$. Key Words and Phrases: Co-Prime Order graph,finite abelian group,Dihedral group, Laplacian spectrum.

math.GR