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The Semimicroscopic Algebraic Cluster Model (SACM) is applied to 16O, assumedto consist of a system of four alpha-clusters. For the 4-alpha cluster system amicroscopic model space is constructed, which observes thePauli-Exclusion-Principle (PEP) and is symmetric under permutation of the4-alpha-particles. A phenomenological Hamiltonian is used, justifying the nameSemi in the SACM. The spectrum and transition values are determined. One of themain objectives is to test the importance of the Pauli Exclusion Principle(PEP), comparing the results with the Algebraic Cluster Model (ACM), which doesnot include the PEP, and claims that the 16O shows evidence of a tetrahedralstructure, which can be explained easily by symmetry arguments. We show thatPEP is very important and cannot be neglected, otherwise it leads to a wronginterpretation of the band structure and to too many states at low energy.

16O within the Semimicroscopic Algebraic Cluster Model and the importance of the Pauli Exclusion Principle