Which of the following statements are correct: A. In SC structure $a =2r$ B. In SC structure $a =r/2$ C. In BCC structure $a = 4r/\sqrt{3}$. D. In FCC structure $a = 2\sqrt{2} r$ Where $a$ is a lattice parameter and $r$ is the atomic radius.
To determine which of the statements about the cubic structures are correct, we need to evaluate each statement based on the geometry of the crystal lattice structures.
- Simple Cubic (SC) Structure: In a Simple Cubic structure, each corner atom touches its adjacent corner atoms. The lattice parameter a relates to the atomic radius r as follows:
- a = 2r. This is because atoms at corners are spaced apart by twice the atomic radius to touch each other.
- Body-Centered Cubic (BCC) Structure: In a BCC structure, the atoms touch along the body diagonal. The length of the body diagonal is \sqrt{3}a, which contains 4 atomic radii. Hence, the relation is:
- a = \frac{4r}{\sqrt{3}}.
- Face-Centered Cubic (FCC) Structure: In an FCC structure, the atoms touch along the face diagonal, with the face diagonal being \sqrt{2}a, containing 4 atomic radii. Thus:
- a = 2\sqrt{2}r.
- Incorrect Statement for Simple Cubic: Statement B claims a = \frac{r}{2}, which is incorrect for the Simple Cubic structure as demonstrated above.
To summarize, the correct answer for the given set of statements is: A, C, and D.
Important Questions from Chemistry (CUET PG) Mixed
The final product (P) is
Consider the following statements with respect to citral
(A). Geranial and Neral are geometrical isomers of citral.
(B). It forms geranic acid on heating with potassium hydrogen sulphate.
(C). It gives 6-methylhept-5-en-2-one on treating with potassium carbonate.
(D). On oxidation with silver oxide it yields Laevulic acid.
Choose the correct answer from the options given below:Which correct sequence of reactions are applied to achieve the following transformation?
Above conversion is carried out using
The final product (D) in the above conversion is
