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The $\mathrm{AsF}_5$ molecule is trigonal bipyramidal. The hybrid orbitals used by the As atoms for bonding are
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$s, p_x, p_y, p_z, d_z^2$
$A_{s F_5}$ has $s p^3 d$ hybridisation. In $s p^3 d$ hybridisation, the $d_{z^2}$ orbital is used along with the ' $s$ ' and three ' $p$ ' orbitals to form three equatorial bonds and two equally strong axial bonds for a trigonal bipyramid.
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