STATEMENT -1 : For fluorite structure , the `F^(-)` ions occupy tetrahedral void and `Ca^(2+)` ions in ccp
STATEMENT-2 : The radius ratio of fluorte structure is 0.414

Options

A. If both the statement are TRUE and STATEMENT -2 is the correct explanation of STATEMENT -1
B. If both the statement are TRUE and STATEMENT -2 is NOT the correct explanation of STATEMENT -1
C. If STATEMENT -1 is the correcct and TRUE and STATEMENT -2 is FALSE
D. If STATEMENT -1 is the correcct and FALSE and STATEMENT -2 is TRUE

Answer

To analyze the given statements regarding the fluorite structure (CaF2), we can break down the solution into the following steps:

### Step 1: Understand the Fluorite Structure
The fluorite structure refers to the arrangement of ions in calcium fluoride (CaF2). In this structure, the calcium ions (Ca²⁺) occupy the face-centered cubic (FCC) lattice, while the fluoride ions (F⁻) occupy the tetrahedral voids.

### Step 2: Identify the Positions of Ions
- **Calcium ions (Ca²⁺)**: These ions are larger and occupy the FCC lattice points. In a face-centered cubic structure, there are atoms at each corner and at the center of each face of the cube.
- **Fluoride ions (F⁻)**: These smaller ions occupy the tetrahedral voids created by the arrangement of calcium ions in the FCC structure.

### Step 3: Analyze the Radius Ratio
The radius ratio is defined as the ratio of the radius of the cation (r₁) to the radius of the anion (r₂):
\[ \text{Radius Ratio} = \frac{r_{cation}}{r_{anion}} \]

For the fluorite structure, the radius ratio is given as 0.414. The range for the radius ratio for tetrahedral voids is between 0.225 and 0.414. Since 0.414 is at the upper limit of this range, it indicates that the fluoride ions can indeed occupy the tetrahedral voids.

### Step 4: Verify the Statements
- **Statement 1**: "For fluorite structure, the F⁻ ions occupy tetrahedral voids and Ca²⁺ ions in CCP." This statement is correct because it accurately describes the arrangement of ions in the fluorite structure.
- **Statement 2**: "The radius ratio of fluorite structure is 0.414." This statement is also correct as it falls within the acceptable range for tetrahedral void occupancy.

### Step 5: Determine the Relationship Between the Statements
Since both statements are true and Statement 2 provides a valid explanation for Statement 1 (the radius ratio being 0.414 allows for the occupation of tetrahedral voids by fluoride ions), we conclude that:

- Both statements are true.
- Statement 2 is the correct explanation for Statement 1.

### Final Conclusion
The correct answer is: Both statements are true, and Statement 2 is the correct explanation of Statement 1.

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