Problem 7.5 Consider the A2X4 molecule depicted below, where A and X are element

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Problem 7.5

Consider the A2X4 molecule depicted below, where A and X are elements. The AA bond length in this molecule is d1, and the four AX bond lengths are each d2.(Figure 1)

Part A

In terms of d1 and d2, how could you define the bonding atomic radius of atom A?

Express your answer in terms of the variables d1and d2.

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Part B

In terms of d1 and d2, how could you define the bonding atomic radius of atom X?

Express your answer in terms of the variables d1and d2.

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Part C

In terms of d1 and d2, what would you predict for the XX bond length of an X2 molecule?

Express your answer in terms of the variables d1and d2.

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Figure 1 of 1

Problem 7.5

Consider the A2X4 molecule depicted below, where A and X are elements. The AA bond length in this molecule is d1, and the four AX bond lengths are each d2.(Figure 1)

Part A

In terms of d1 and d2, how could you define the bonding atomic radius of atom A?

Express your answer in terms of the variables d1and d2.

rA=

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Part B

In terms of d1 and d2, how could you define the bonding atomic radius of atom X?

Express your answer in terms of the variables d1and d2.

rX=

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Part C

In terms of d1 and d2, what would you predict for the XX bond length of an X2 molecule?

Express your answer in terms of the variables d1and d2.

rXX=

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Figure 1 of 1

Explanation / Answer

Part A : Since d1 is internuclear distance of two bonded 'A' atoms,

Bonding atomic radius of A = d1/2

Part B : Since internuclear distance of A-X is d2 and bonding atomic radius of A is d1/2,

therefore bonding atomic radius of X = d2 - d1/2

Part C : X-X bond legth = 2(d2 - d1/2)

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