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Formula of a compound when atoms of A occupy one third of the tetrahedral voids

The same question, asked 5 times: 15 May 2023 S1*, 14 May 2024 S1*, 19 Apr 2025 S2*, 13 Apr 2026 S2*, 12 May 2026 S1. Every wording below, oldest first.

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  1. Question 1

    15 May 2023 S1

    97
    A compound is formed by two elements A and B. The atoms of element B form ccp structure. The atoms of A occupy 13\frac{1}{3} of tetrahedral voids. What is the formula of the compound?

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  2. Question 2

    14 May 2024 S1

    56
    In an ionic crystalline solid atoms of element Y form hcp structure. The atoms of element X occupy one third of tetrahedral voids. What is the formula of compound?

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  3. Question 3

    19 Apr 2025 S2

    82
    In ionic solid, anions are arranged in ccp array and cations occupy 1/31/3 tetrahedral voids. What is the formula of ionic compound? [Consider A=A = cation; B=B = anion]

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  4. Question 4

    13 Apr 2026 S2

    18
    An ionic compound is formed by elements X and Y. Element Y forms a face-centered cubic (FCC) lattice, and element X occupies one-third of the tetrahedral voids. What is the formula of the compound?

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  5. Question 5

    12 May 2026 S1

    17
    A compound is formed by two elements A and B. The elements B forms cubic close packed structure and atoms of A occupy 1/31/3rd of tetrahedral voids. If the formula of the compound is AxByA_xB_y, then find the value of (x+y)(x + y).

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