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The coordination number of Al in the cry...

The coordination number of `Al` in the crystalline state of `AlCl_(3)` is _____.

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To determine the coordination number of aluminum (Al) in the crystalline state of aluminum chloride (AlCl₃), we can follow these steps: ### Step 1: Understand the Structure of AlCl₃ AlCl₃ in its crystalline form adopts a face-centered cubic (FCC) lattice structure. In this structure, the aluminum ions (Al³⁺) occupy the octahedral voids, while the chloride ions (Cl⁻) are located at the lattice points, which include the corners and face centers of the cubic unit cell. **Hint:** Recall that the coordination number is defined as the number of nearest neighboring ions surrounding a central ion in a crystal lattice. ### Step 2: Identify the Positions of Ions In the FCC lattice: - The chloride ions (Cl⁻) are located at the corners and face centers of the cube. - The aluminum ions (Al³⁺) occupy the octahedral voids, which are located at the body center and the centers of the edges of the cube. **Hint:** Visualize or draw the FCC structure to better understand the arrangement of ions. ### Step 3: Determine the Coordination Number The coordination number of an ion is determined by counting the number of closest neighboring ions surrounding it. For Al³⁺ ions in this structure: - The closest chloride ions are located at the face centers of the cube. - Each aluminum ion is surrounded by six chloride ions, which are the nearest neighbors. **Hint:** Count the number of nearest Cl⁻ ions around the Al³⁺ ion to find the coordination number. ### Step 4: Conclusion Thus, the coordination number of aluminum (Al) in the crystalline state of AlCl₃ is **6**. **Final Answer:** The coordination number of Al in the crystalline state of AlCl₃ is **6**.

To determine the coordination number of aluminum (Al) in the crystalline state of aluminum chloride (AlCl₃), we can follow these steps: ### Step 1: Understand the Structure of AlCl₃ AlCl₃ in its crystalline form adopts a face-centered cubic (FCC) lattice structure. In this structure, the aluminum ions (Al³⁺) occupy the octahedral voids, while the chloride ions (Cl⁻) are located at the lattice points, which include the corners and face centers of the cubic unit cell. **Hint:** Recall that the coordination number is defined as the number of nearest neighboring ions surrounding a central ion in a crystal lattice. ### Step 2: Identify the Positions of Ions ...
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