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A crystal of formula AB3 has A ions at the cube corners and B ions at the edge centres. The coordination numbers of A and B are respectively
- a)6 and 2
- b)2 and 6
- c)6 and 6
- d)8 and 8
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A crystal of formula AB3 has A ions at the cube corners and B ions at ...
Coordination number is the number of atoms which are surrounding it (or) the number of nearest neighbours. In the given below crystal the black atoms placed at corners are A and the red atoms placed at edge centers are B.
As you see, each A is being surrounded by 6 B's and each B is surrounded by 2 A's. So the coordination number of A is 6 and that of B is 2.
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A crystal of formula AB3 has A ions at the cube corners and B ions at ...
Crystal Structure of AB3
The crystal of formula AB3 has A ions at the corners of the cube and B ions at the edge centers. The crystal structure of AB3 is called a perovskite structure. In this structure, the A ions occupy the vertices of the cube, and the B ions occupy the centers of the edges of the cube.
Coordination Numbers of A and B
The coordination number of an ion in a crystal is the number of ions that are closest to it. In the perovskite structure, the A ions have a coordination number of 6, and the B ions have a coordination number of 2.
Explanation of Answer
Option A is the correct answer because the coordination number of A ions in the perovskite structure is 6, which means each A ion is surrounded by six B ions. The coordination number of B ions is 2, which means each B ion is surrounded by two A ions. This is because the A ions are located at the corners of the cube, and each corner is shared by eight unit cells, so each A ion is shared by eight adjacent unit cells. On the other hand, the B ions are located at the centers of the edges of the cube, and each edge is shared by four unit cells, so each B ion is shared by four adjacent unit cells.
The crystal of formula AB3 has A ions at the corners of the cube and B ions at the edge centers. The crystal structure of AB3 is called a perovskite structure. In this structure, the A ions occupy the vertices of the cube, and the B ions occupy the centers of the edges of the cube.
Coordination Numbers of A and B
The coordination number of an ion in a crystal is the number of ions that are closest to it. In the perovskite structure, the A ions have a coordination number of 6, and the B ions have a coordination number of 2.
Explanation of Answer
Option A is the correct answer because the coordination number of A ions in the perovskite structure is 6, which means each A ion is surrounded by six B ions. The coordination number of B ions is 2, which means each B ion is surrounded by two A ions. This is because the A ions are located at the corners of the cube, and each corner is shared by eight unit cells, so each A ion is shared by eight adjacent unit cells. On the other hand, the B ions are located at the centers of the edges of the cube, and each edge is shared by four unit cells, so each B ion is shared by four adjacent unit cells.
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A crystal of formula AB3 has A ions at the cube corners and B ions at the edge centres. The coordination numbers of A and B are respectivelya)6 and 2b)2 and 6c)6 and 6d)8 and 8Correct answer is option 'A'. Can you explain this answer?
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