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Add move notation to the final quesiton for clarity and minor grammar update
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Why can't a piece (that isn't a pawn) capture en passant? When a pawn makes a two-square move, the en passant rule says that on the next move, any pawn that could have captured it on the single-advance square may do so.

So why doesn't the rule allow a non-pawn piece that could have captured it on the single-advance square to do the same? For instance, in the position

[fen "7k/8/8/8/2n5/8/P7/7K w - - 0 1"]

1.a4

after 1.a4 why isn't the knight allowed to respond with 1...Nxa3?

Why can't a piece (that isn't a pawn) capture en passant? When a pawn makes a two-square move, the en passant rule says that on the next move, any pawn that could have captured it on the single-advance square may do so.

So why doesn't the rule allow a non-pawn piece that could have captured it on the single-advance square to do the same? For instance, in the position

[fen "7k/8/8/8/2n5/8/P7/7K w - - 0 1"]

1.a4

why isn't the knight allowed to respond 1...Nxa3?

Why can't a piece (that isn't a pawn) capture en passant? When a pawn makes a two-square move, the en passant rule says that on the next move, any pawn that could have captured it on the single-advance square may do so.

So why doesn't the rule allow a non-pawn piece that could have captured it on the single-advance square to do the same? For instance, in the position

[fen "7k/8/8/8/2n5/8/P7/7K w - - 0 1"]

1.a4

after 1.a4 why isn't the knight allowed to respond with 1...Nxa3?

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tried my hand at making this a better-received question
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ETD
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Can Why can't a piece (notthat isn't a pawn) capture en passant?

CanWhy can't a piece (notthat isn't a pawn) capture en passant? When a pawn makes a two-square move, the en passant rule says that on the next move, any pawn that could have captured it on the single-advance square may do so.

So why doesn't the rule allow a non-pawn piece that could have captured it on the single-advance square to do the same? For instance, in the position

[fen "7k/8/8/8/2n5/8/P7/7K w - - 0 1"]

1.a4

why isn't the knight allowed to respond 1...Nxa3?

Can a piece (not a pawn) capture en passant?

Can a piece (not a pawn) capture en passant?

Why can't a piece (that isn't a pawn) capture en passant?

Why can't a piece (that isn't a pawn) capture en passant? When a pawn makes a two-square move, the en passant rule says that on the next move, any pawn that could have captured it on the single-advance square may do so.

So why doesn't the rule allow a non-pawn piece that could have captured it on the single-advance square to do the same? For instance, in the position

[fen "7k/8/8/8/2n5/8/P7/7K w - - 0 1"]

1.a4

why isn't the knight allowed to respond 1...Nxa3?

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user2001
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Clarified the question with some more context
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