  In the present work $Fe^{3+}$ sublattice spin reversal and $Fe^{3+}$
spin-canting across the magnetic compensation temperature ($T_{Comp}$) are
demonstrated in polycrystalline $Y_{1.5}Gd_{1.5}Fe_{5}O_{12}$ (YGdIG) by means
of in-field $^{57}Fe$ M$\ddot{o}$ssbauer spectroscopy measurements.
Corroborating in-field $^{57}Fe$ M$\ddot{o}$ssbauer measurements, both
$Fe^{3+}$ & $Gd^{3+}$ sublattice spin reversal has also been manifested with
x-ray magnetic circular dichroism (XMCD) measurement in hard x-ray region.
Moreover from in-field $^{57}Fe$ M$\ddot{o}$ssbauer measurements, estimation
and analysis of effective internal hyperfine field ($H_{eff}$), relative
intensity of absorption lines in a sextet elucidated unambiguously the
signatures of $Fe^{3+}$ spin reversal, their continuous transition and field
induced spin-canting of $Fe^{3+}$ sublattices across $T_{Comp}$. Further, Fe K-
(Gd $L_{3}$-) edge XMCD signal is observed to consist of additional spectral
features, those are identified from $Gd^{3+}$ ($Fe^{3+}$) magnetic ordering,
enabling us the extraction of both the sublattices ($Fe^{3+}$ & $Gd^{3+}$)
information from a single edge analysis. The evolution of the magnetic moments
as a function of temperature for both magnetic sublattices extracted either at
the Fe K- or Gd $L_3$-edge agree quite well with values that are extracted from
bulk magnetization data of YGdIG and YIG ($Y_{3}Fe_{5}O_{12}$). These
measurements pave new avenues to investigate how the magnetic behavior of such
complex system acts across the compensation point.
