Each type of chess piece has its own method of movement. A piece moves to a vacant square except when capturing an opponent's piece.
Except for any move of the knight and castling, pieces cannot jump over other pieces.
A piece is captured (or taken) when an attacking enemy piece replaces it on its square (en passant is the only exception). The captured piece is thereby permanently removed from the game. The king can be put in check but cannot be captured.