The Chinese reflexive pronoun z`ıj˘ı (自己) normally requires its antecedent to exist within the sentence in which it occurs.
自己 can occur alone representing the entire NP.
→ 她打自己 (t¯a d˘a z`ıj˘/ She hit herself.)
It can take up a modifier position in front of a noun as well.
→ 她打自己腦袋 (t¯a d˘a z`ıj˘ı n˘ao-d`ai/ She hit her own head).
It is worth noting that 自己 can also occur immediately after a regular pronoun for emphasis.
→ 她自己打自己 (t¯a z`ıj˘ı d˘a z`ıj˘/ She hit herself.)
→ 她打她自己 (t¯a d˘a t¯a z`ıj˘/ She hit herself.)
Reference: Chinese: a linguistic introduction by Chao Fen Sun