We present a vibrational spectrum analysis ofAu38cluster, with energy(-4.95 eV/atom) having a group symmetry C1. We have carried out DFTB calculation by using the numerical finite-difference method and extracted the required force constants. Our calculations have confirmed with the experimental results, that is, a thermodynamically very stable structure cannot be crystalline, but having a high probability of amorphus. The lowest energy geometrical structures are being confirmed by comparison (of the nuclei coordination numbers) of the different axis of rotations at a standard orientation of crystal shape. Moreover, we have accurately predicted the vibrational frequency range from 1.62 to 298.53 cm−1at ∆E = 0. Significantly, the spectrum has shown 10 sets of double state degeneracy and the rest of the 88 spectrum’s are having independent single state degeneracy. Amazingly, at NVM 101,102 that gives a pair of degeneracy {238.54, 238.89} cm−1 that has occurred within the range of Mid Infrared MIR, IR-C 3330-200 cm−1. Nevertheless, our investigation has revealed that the vibrational spectrum strongly depends upon the size, shape, and structure, as well as, stretching and bending vibrations of the atoms.