Step 1: Understanding the structure of Barium tetrachlorocuprate(II).
Barium tetrachlorocuprate(II) refers to a compound where a Ba\(^{2+}\) ion is bonded to a \([CuCl_4]^{2-}\) anion. This means that the copper ion is coordinated to four chloride ions. Thus, the correct formula is Ba[CuCl\(_4\)].
Step 2: Analyzing the options.
(A) Cu[BaCl\(_2\)]Cl\(_2\): This is not correct. The formula doesn’t correspond to a tetrachlorocuprate compound.
(B) Ba[CuCl\(_2\)]Cl\(_2\): This formula doesn’t reflect the correct coordination of chloride ions around copper.
(C) Cu[BaCl\(_4\)]: This is incorrect. Copper should be in the center with chloride ions around it, not the other way around.
(D) Ba[CuCl\(_4\)]: Correct — This is the proper formula for Barium tetrachlorocuprate(II), where Ba\(^{2+}\) is bonded to a \([CuCl_4]^{2-}\) anion.
Step 3: Conclusion.
The correct formula is (D) Ba[CuCl\(_4\)].