  We consider the zero temperature coarsening in the Ising model in two
dimensions where the spins interact within the Moore neighbourhood. The
Hamiltonian is given by $H = - \sum_{<i,j>}{S_iS_j} - \kappa
\sum_{<i,j'>}{S_iS_{j'}}$ where the two terms are for the first neighbours and
second neighbours respectively and $\kappa \geq 0$. The freezing phenomena,
already noted in two dimensions for $\kappa=0$, is seen to be present for any
$\kappa$. However, the frozen states show more complicated structure as
$\kappa$ is increased; e.g. local anti-ferromagnetic motifs can exist for
$\kappa>2$. Finite sized systems also show the existence of an iso-energetic
active phase for $\kappa > 2$, which vanishes in the thermodynamic limit. The
persistence probability shows universal behaviour for $\kappa>0$, however it is
clearly different from the $\kappa=0$ results when non-homogeneous initial
condition is considered. Exit probability shows universal behaviour for all
$\kappa \geq 0$. The results are compared with other models in two dimensions
having interactions beyond the first neighbour.
