Donor and acceptor rows show majority type as count arithmetic.

Donor and acceptor rows show majority type as count arithmetic. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Donors push the electron ledger higher

The toy intrinsic counts are 2 electrons and 2 holes. Donors 6 and acceptors 0 give electron count 8, hole count 2, and margin 6.

e=2+6=8,h=2+0=2,Δ=6e=2+6=8,\quad h=2+0=2,\quad \Delta=6
Doping row n-typeMajority type and margin are checked count ledgers.intrinsic_e=2intrinsic_h=2donors=6acceptors=0electrons=8holes=2majority=n-typemargin=6

Acceptors push the hole ledger higher

The toy intrinsic counts are 2 electrons and 2 holes. Donors 0 and acceptors 5 give electron count 2, hole count 7, and margin 5.

e=2+0=2,h=2+5=7,Δ=5e=2+0=2,\quad h=2+5=7,\quad \Delta=5
Doping row p-typeMajority type and margin are checked count ledgers.intrinsic_e=2intrinsic_h=2donors=0acceptors=5electrons=2holes=7majority=p-typemargin=5

Equal donor and acceptor counts are the boundary

The toy intrinsic counts are 2 electrons and 2 holes. Donors 4 and acceptors 4 give electron count 6, hole count 6, and margin 0.

e=2+4=6,h=2+4=6,Δ=0e=2+4=6,\quad h=2+4=6,\quad \Delta=0
Doping row balancedMajority type and margin are checked count ledgers.intrinsic_e=2intrinsic_h=2donors=4acceptors=4electrons=6holes=6majority=balancedmargin=0