The vibrational normal frequencies of Ni-n, n = 2-14, 19, 20, and 55,
clusters in their most stable structure are classified using group the
ory and calculated by direct diagonalization of the dynamical matrix.
A Gupta n-body model potential was used to evaluate the second derivat
ives of the total energy with respect to the cluster atomic coordinate
s. The symmetry of the lowest-energy structures generate vibrational s
pectra with strong (n = 13, and 55), medium (n = 4 and 6), weak (n = 3
, 5, 7, 8, 10, 12, 14, 19, and 20), and null (n = 9 and Il) degeneraci
es. Calculated frequencies for all duster sizes are lower than the dim
er characteristic frequency. The width of the modes distribution and t
he maximum frequency are independent of the cluster size for 2 < n les
s than or equal to 55.