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A crystalline structure has radius ratio (r+/r-) in the range of 0.225 - 0.414. The coordination number and arrangement of anions around the cations are:
- a)3, plane triangular
- b)6, octahedral
- c)4, tetrahedral
- d)8, cubic
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A crystalline structure has radius ratio (r+/r-)in the range of 0.225 ...
If the radius ratio is between 0.225 and 0.414, it will have a tetrahedral void. The derivation of this actually takes place in reverse where we assume a tetrahedral void and arrive at the value, but the converse also holds true. A tetrahedral void naturally means there are 4 surrounding atoms. So, coordination number will be 4.
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A crystalline structure has radius ratio (r+/r-)in the range of 0.225 ...
Coordination number and arrangement of anions around cations
In a crystalline structure, the coordination number refers to the number of neighboring atoms or ions that are in contact with a central atom or ion. The arrangement of anions around cations is determined by the radius ratio (r / r-) of the cation and anion.
Radius ratio
The radius ratio (r / r-) is the ratio of the radius of the cation (r) to the radius of the anion (r-). It is used to determine the coordination number and arrangement of anions around cations in a crystal lattice.
Range of radius ratio
In this question, the given range of the radius ratio is 0.225 - 0.414.
Coordination number and arrangement of anions around cations
Based on the given range of the radius ratio, the coordination number and arrangement of anions around cations is as follows:
Option C: 4, tetrahedral
- The coordination number is 4, which means that each cation is surrounded by 4 anions.
- The arrangement of anions around cations is tetrahedral, which means that the anions form a tetrahedron around the central cation.
Explanation
In a tetrahedral arrangement, each anion is located at the corner of a tetrahedron, with the cation at the center. The coordination number of 4 indicates that there are 4 anions surrounding each cation.
The range of the radius ratio, 0.225 - 0.414, falls within the range for a tetrahedral arrangement. In a tetrahedral arrangement, the radius ratio is between 0.225 and 0.414.
Therefore, the correct answer is option C: 4, tetrahedral.
In a crystalline structure, the coordination number refers to the number of neighboring atoms or ions that are in contact with a central atom or ion. The arrangement of anions around cations is determined by the radius ratio (r / r-) of the cation and anion.
Radius ratio
The radius ratio (r / r-) is the ratio of the radius of the cation (r) to the radius of the anion (r-). It is used to determine the coordination number and arrangement of anions around cations in a crystal lattice.
Range of radius ratio
In this question, the given range of the radius ratio is 0.225 - 0.414.
Coordination number and arrangement of anions around cations
Based on the given range of the radius ratio, the coordination number and arrangement of anions around cations is as follows:
Option C: 4, tetrahedral
- The coordination number is 4, which means that each cation is surrounded by 4 anions.
- The arrangement of anions around cations is tetrahedral, which means that the anions form a tetrahedron around the central cation.
Explanation
In a tetrahedral arrangement, each anion is located at the corner of a tetrahedron, with the cation at the center. The coordination number of 4 indicates that there are 4 anions surrounding each cation.
The range of the radius ratio, 0.225 - 0.414, falls within the range for a tetrahedral arrangement. In a tetrahedral arrangement, the radius ratio is between 0.225 and 0.414.
Therefore, the correct answer is option C: 4, tetrahedral.
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A crystalline structure has radius ratio (r+/r-)in the range of 0.225 - 0.414.The coordination number and arrangement of anions around the cations are:a)3, plane triangularb)6, octahedralc)4, tetrahedrald)8, cubicCorrect answer is option 'C'. Can you explain this answer?
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