Near-filled rows show the last empty slot boundary. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Two empty slots remain a partial band

The finite band has the same slot budget in every row. Only the electron count changes, so the empty-slot count decides the boundary.

slots=42=8,electrons=6,empty=2slots=4\cdot 2=8,\quad electrons=6,\quad empty=2
Band near-fill row partialOccupancy is finite slot accounting only.sites=4statesPerSite=2electrons=6slots=8filled=6empty=2occupancy=partial

One empty slot still remains partial

The finite band has the same slot budget in every row. Only the electron count changes, so the empty-slot count decides the boundary.

slots=42=8,electrons=7,empty=1slots=4\cdot 2=8,\quad electrons=7,\quad empty=1
Band near-fill row partialOccupancy is finite slot accounting only.sites=4statesPerSite=2electrons=7slots=8filled=7empty=1occupancy=partial

No empty slots makes the band filled

The finite band has the same slot budget in every row. Only the electron count changes, so the empty-slot count decides the boundary.

slots=42=8,electrons=8,empty=0slots=4\cdot 2=8,\quad electrons=8,\quad empty=0
Band near-fill row filledOccupancy is finite slot accounting only.sites=4statesPerSite=2electrons=8slots=8filled=8empty=0occupancy=filled