A consistent polaron model is shown to result in a critical size of a
cluster made of polar molecules. Over this size the existence of a bou
nd state of an excess electron inside the cluster is possible. In the
case of an ammonia cluster composed of n molecules the theory predicts
an appearance of a stable polaron state of excess electron at n = 35.
This threshold value and photodetachment energies are in a good agree
ment with existing experimental data. The theory predicts also metasta
ble states of the ammonia cluster anions for 21 less than or equal to
n < 35.