Synthesis and Superconducting Properties of the Yb Intercalated MgB$_2$

The effect of the lattice parameters on the superconducting transition temperature (T$_{c})$ of MgB$_{2}$ was studied as a function of the Yb metal doping concentration. The intercalated MgB$_{2}$ samples, Mg$_{1-x}$Yb$_{x}$B$_{2}$, were prepared in a relatively small range of Yb concentration, 0.02$\le $x$\le $0.10. The phase analysis and characterization of the superconductivity were carried out by X-ray diffraction (XRD) and AC susceptibility measurements. The results show that a 0.15{\%} increase in the $c$-parameter for a starting composition of Mg$_{0.95}$Yb$_{0.05}$B$_{2}$ samples.