CD 3 C 3 D C 4 D 3 C 2 D 3 C 3 D 2 C 3 D 4 C 2 D 2 Use what you learned in lab a

Question

CD3C3D    C4D3C2D3C3D2C3D4C2D2

Use what you learned in lab about atoms in cubic structures to answer the following questions about a solid whose crystal structure was found to have atoms "A" in corner and center sites and "B" in the face sites of a cubic unit cell. How many "A"s are there in a unit cell? How many "B"s are there in a unit cell? What is the correct chemical formula for this solid? A2B3 A3B2 A3B4 AB3 A3B A4B3 A2B2 Use what you learned in lab about atoms in cubic structures to answer the following questions about a solid whose crystal structure was found to have atoms "C" in edge and center sites and "D" in the face sites of a cubic unit cell. How many "C"s are there in a unit cell? "C"(s) How many "D"s are there in a unit cell? "D"(s) What is the correct chemical formula for this solid? CD3 C3D   C4D3 C2D3 C3D2 C3D4 C2D2

Explanation / Answer

(1) Number of A atoms = 8 x 1/8 + 1 x 1 (8 corner + 1 center)

= 2 A atoms


Number of B atoms = 6 x 1/2 (6 face)

= 3 B atoms


Ratio of A : B = 2 : 3

Chemical formula is A2B3



(2) Number of C atoms = 12 x 1/4 + 1 x 1 (12 edge + 1 center)

= 4 C atoms


Number of D atoms = 6 x 1/2 (6 face)

= 3 D atoms


Ratio of C : D = 4 : 3

Chemical formula is C4D3

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