  The search for the ferromagnetic quantum critical point (FM QCP) has always
been a captivating research topic in the scientific community. In pursuit of
this goal, we introduced nonmagnetic transition metals to alloy with elemental
nickel, and studied the magnetic properties of nickel binary alloys Ni1-xMox
and Ni1-yCuy as a function of x and y up to the critical concentrations x_{cr}
and y_{cr} at which the FM transition T_C disappears. T_C-x(y) phase diagrams
were constructed via the Arrott-Noakes scaling of magnetization data. An
enhanced Sommerfeld coefficient (the value of C/T as T \rightarrow 0) is
observed near y_{cr}, manifesting the effect of quantum fluctuations near the
quantum phase transition. It is evident that C/T diverges with -logT down to
0.1 K in the vicinity of y_{cr}, suggests the plausible FM QCP in Ni1-yCuy.
However, in the case of Ni1-xMox, although the enhancement of the Sommerfeld
coefficient is also observed near x_{cr}, the spin glass behavior is identified
through the ac magnetic susceptibility measurement. This observation rules out
the possibility of the existence of the FM QCP in Ni1-xMox.
