A positional sacrifice gives up material for long-term advantages, such as structure, squares, or piece dominance, rather than for immediate tactics.
A tactical sacrifice calculates to a forced payoff: mate or the material back with interest. A positional sacrifice is a different animal. You give up material, often an exchange or a pawn, for advantages that cannot be cashed immediately: a wrecked enemy structure, an eternal knight, a color complex, a safer king.
The most famous example is the exchange sacrifice on c3 in the Sicilian, a specialty of Petrosian and Kasparov. Black gives rook for knight to double White's c-pawns, expose the queenside, and hand the g7 bishop a monster diagonal. No forced win exists; the assets simply outweigh the exchange for the next thirty moves.
To play one, you need faith backed by understanding: name the concrete assets you receive and check they are permanent. To face one, avoid panic; the defender's plan is usually to return the material at the right moment to kill the initiative.
A tactical sacrifice is justified by a calculated forcing line that regains material or mates. A positional sacrifice is justified by lasting advantages, structure, squares, activity, with no forced payoff in sight.
The exchange sacrifice, giving rook for bishop or knight. Sacrifices like ...Rxc3 in the Sicilian trade a small material edge for structure and dark squares, and often a pawn as well.
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