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The Raman spectroscopy and AC and DC magnetization ofDy$_{2-x}$Eu$_x$Ti$_2$O$_7$ have been investigated. In Raman Spectroscopy, thesystematic shift in all phonon modes with Eu content inDy$_{2-x}$Eu$_x$Ti$_2$O$_7$ confirms that Dy$^{3+}$ ion is substituted by Eu3+ions. High concentration of Eu induces the dipolar exchange interactions andcrystal-field interactions in Dy$_{2-x}$Eu$_x$Ti$_2$O$_7$. Rich Eu contentsamples (x=1.8 and 1.9) show the existence of wasp-waisted hysteresis loop andthat can be attributed to the coexistence of dipolar field and anisotropyexchange interaction. AC susceptibility shows two single ion spin freezingtransitions corresponding to Dy$^{3+}$ and Eu$^{3+}$ ions respectively in x =1.5, 1.8, 1.9 samples.

Wasp -- Waisted loop and Spin frustration in Dy$_{2-x}$Eu$_x$Ti$_2$O$_7$ Pyrochlore