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Tantalum diselenide (TaSe$_{2}$) is a metallic transition metaldichalcogenide whose equilibrium structure and vibrational behavior stronglydepends on temperature and thickness, including the emergence of charge densitywave (CDW) states at very low T. In this work, observed modes for mono- andbi-layer are described across several spectral regions and com-pared to thebulk ones. Such modes, including an experimentally observed forbidden Ramanmode and low frequency CDW modes, are then matched to corresponding densityfunctional theory (DFT) predicted vibrations, to unveil their inner working.The excellent match between experimental and computational results justifiesthe presented vibrational visualizations of these modes. Additional support isprovided by experimental phonons seen in Raman spectra as a function oftemperature and thickness. These results highlight the importance ofunderstanding interlayer interactions and their effects on mode behaviors.

Examining Experimental Raman Mode Behavior in Mono- and Bi-layer 2H-TaSe$_{2}$ via Density Functional Theory