For the remaining part of $I_N$ [*vs.*]{} $N$ curve ([*i.e.*]{}, for $N > N^*+\Delta N$) where $I_N$ is observed to have significant decrease with increase in $N$, changes in $\alpha = r_2/r_1$ along with the jump of an atom from orbit 1 to orbit 2 seem to take place when an atom is added to orbit 2. Depending on the physico-chemical nature and size of M, the decrease in $I_N$ for $N$ changing from $N=N^*+\Delta N$ to $N=N_1$ can be explained by choosing $n_c =1$ and 2 ... (in different steps) clubbed with appropriate values of $\alpha$ and $\Delta\alpha$. This speaks of the sensitivity of the changes in $I_N$ on $\alpha$ and $\Delta\alpha$ as well as $\Delta r$ (change in the said projection of M-$^4$He bond length). This naturally simplifies the basis our understanding of the observed increase and decrease in $I$ (Fig.1) with $N$. (4) The decrease in $B$ (increase in $I$) for $N$ increasing from $N_1$ to $N_2$ is as per normal expectation. However, each atom added to the cluster in this range contributes only very small fraction of the contribution to $I$ by an atom in orbit 1. Guided by this fact it appears that value of 