In PDOS calculations, TDOS may appear less than the sum of individual atomic contributions due to the following reasons:
1. Projection basis limitations: PDOS is computed by projecting wavefunctions onto localized atomic orbitals, which are not complete in the full plane-wave basis. 2.Overlap issues: Delocalized states (especially conduction band states or from hybridized orbitals) may not be fully captured by atomic projections. 3. Numerical shortness and cutoff errors: Low-projection weight states may be filtered out below a threshold.
Therefore, TDOS is typically greater than or equal to the sum of PDOS, and discrepancies are expected. This does not imply an error but is a known limitation of projection-based analysis.