Assertion (A) : The reciprocal lattice of a fcc is a direct lattice of bcc.
Reason (R) : The reciprocal lattice of a bcc is a direct lattice of fcc.
In the light of the above statements, choose the most appropriate answer from the options given below :
Reciprocal Lattice Assertion (A) Analysis
Assertion (A) states that the reciprocal lattice of a face-centered cubic (fcc) structure is a body-centered cubic (bcc) direct lattice.
- This statement is correct. The set of reciprocal lattice vectors for an fcc lattice forms a bcc lattice structure.
Reciprocal Lattice Reason (R) Analysis
Reason (R) states that the reciprocal lattice of a body-centered cubic (bcc) structure is a face-centered cubic (fcc) direct lattice.
- This statement is also correct. The reciprocal lattice corresponding to a bcc direct lattice is an fcc lattice.
Relationship Between Assertion and Reason
Both Assertion (A) and Reason (R) present true statements regarding the relationship between direct and reciprocal lattices of fcc and bcc structures.
- Assertion (A) describes the reciprocal of fcc.
- Reason (R) describes the reciprocal of bcc.
While both statements are factually correct, the truth of Reason (R) (reciprocal of bcc is fcc) does not serve as an explanation for the truth of Assertion (A) (reciprocal of fcc is bcc). They are independent, albeit related, crystallographic facts.
Conclusion
Therefore, both statements are correct, but Reason (R) is not the correct explanation for Assertion (A).
The most appropriate answer is: Both (A) and (R) are correct but (R) is not the correct explanation of (A).
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- Kalpsutra, the illustrated canonical text is from:-
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