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The structural and the magnetic properties of CeCu$_{6-x}$Ag$_x$ (0 $\leq$$x$ $\leq$ 0.85) and CeCu$_{6-x}$Pd$_x$ (0 $\leq$ $x$ $\leq$ 0.4) have beenstudied using neutron diffraction, resonant ultrasound spectroscopy (RUS), heatcapacity, x-ray diffraction measurements and first principles calculations. Thestructural and magnetic phase diagrams of CeCu$_{6-x}$Ag$_x$ andCeCu$_{6-x}$Pd$_x$ as a function of Ag/Pd composition are reported. The endmember, CeCu$_6$, undergoes a structural phase transition from an orthorhombic($Pnma$) to a monoclinic ($P2_1/c$) phase at 240 K. In CeCu$_{6-x}$Ag$_x$, thestructural phase transition temperature (${T_{s}}$) decreases linearly with Agconcentration and extrapolates to zero at $x_{S}$ $\approx$ 0.1. The structuraltransition in CeCu$_{6-x}$Pd$_x$ remains unperturbed with Pd substitutionwithin the range of our study. The lattice constant $b$ slightly decreases withAg/Pd doping, whereas, $a$ and $c$ increase with an overall increase in theunit cell volume. Both systems, CeCu$_{6-x}$Ag$_x$ and CeCu$_{6-x}$Pd$_x$,exhibit a magnetic quantum critical point (QCP), at $x$ $\approx$ 0.2 and $x$$\approx$ 0.05 respectively. Near the QCP, long range antiferromagneticordering takes place at an incommensurate wave vector ($\delta_1$ 0 $\delta_2$)where $\delta_1 \sim 0.62$, $\delta_2 \sim 0.25$, $x$ = 0.125 forCeCu$_{6-x}$Pd$_x$ and $\delta_1 \sim 0.64$, $\delta_2 \sim 0.3$, $x$ = 0.3 forCeCu$_{6-x}$Ag$_x$. The magnetic structure consists of an amplitude modulationof the Ce-moments which are aligned along the $c$-axis of the orthorhombic unitcell.

Structural and Magnetic Phase Transitions in CeCu$_{6-x}T_x$ ($T$ = Ag, Pd)