Nickel-based superalloys have been widely used for elevated temperature applications such as turbine disc of jet engines due to their excellent mechanical properties. The typical microstructure of these alloys primarily consists of dispersed precipitates of the ordered γ’ phase with L12 structure within a disordered face-centered cubic γ matrix. The γ -γ’ microstructure in these alloys can be c...

Let $G$ be a finite group and $pi(G)$ be the set of all prime divisors of $|G|$. The prime graph of $G$ is a simple graph $Gamma(G)$ with vertex set $pi(G)$ and two distinct vertices $p$ and $q$ in $pi(G)$ are adjacent by an edge if an only if $G$ has an element of order $pq$. In this case, we write $psim q$. Let $|G= p_1^{alpha_1}cdot p_2^{alpha_2}cdots p_k^{alpha_k}$, where $p_1

We study the production of light $J^{PC}=1^{-+}$ hybrid isoscalars $\eta_1^\prime(1855)$ and yet undiscovered $\eta_1(1660)$ as intermediate states in radiative decays charmonium ($J/\psi$) to two conventional mesons using a flavor symmetric Lagrangian. For this purpose, we use $J/\psi\to\gamma\eta_1^\prime(1855)\to\gamma\eta\eta^\prime$ process reference. find that some decay channels have bra...

Let $L(s,\chi)$ be the Dirichlet $L$-function associated to a non trivial primitive character $\chi$ defined $\bmod\ q$, where $q$ is an odd prime. In this paper we introduce fast method compute $\vert L(1,\chi) \vert$ using values of Euler's $\Gamma$ function. We also alternative way computing $\log \Gamma(x)$ and $\psi(x)= \Gamma^\prime/\Gamma(x)$,$x\in(0,1)$. Using such algorithms numericall...