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Chapter 20: Problem 6

The wave functions corresponding to ionic structures of hydrogen molecule, according to valence bond theory are (a) \(\psi_{A}(1) \psi_{B}(\mathrm{I}), \psi_{A}(2) \psi_{B}(2)\) (b) \(\psi_{A}(1) \psi_{A}(1), \psi_{B}(2) \psi_{B}(2)\) (c) \(\psi_{A}(2) \psi_{B}(2), \psi_{A}(1) \psi_{B}(1)\) (d) \(\psi_{A}(1) \psi_{A}(2), \psi_{B}(1) \psi_{B}(2)\)

Short Answer

Expert verified
The correct answers are options (a) and (c).

Step by step solution

01

Understand the terms

Firstly, it's crucial to understand the terms. Here 'ψ' represents the wave function of an electron and the subscripts 'A' and 'B' represent the hydrogen atoms in the molecule. The electron labeled as '1' or '2' belongs to atom 'A' or 'B' respectively.
02

Apply Valence Bond Theory

According to Valence Bond Theory, a bond forms when two atomic orbitals overlap, where each electron comes from one of the two atoms. This means, each electron is described by a wave function from one of the atoms.
03

Match the rules to the options

As per these rules, both electrons can't belong to the same atom at the same time initially, which excludes option (b) and (d). Now, between option (a) and option (c), they are actually the same as electron 1 and 2 are indistinguishable, we just assigned the numbers for convenience. Hence, both (a) and (c) are correct answers.

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Most popular questions from this chapter

The condition to be satisfied for the atomic orbitals to form molecule orbitals is (a) they must possess comparable energies (b) they must overlap to a considerable extent (c) they must be symmetrical with respect to the molecular axis (d) all the above

Choose the incorrect answer: (a) Bonding MO are formed by the additive effect of the atomic orbitals. (b) The electron density in the internuclear region in bonding MO is very low. (c) Energy of the antibonding MO is higher than that of the combining atomic orbitals. (d) Antibonding MO are represented by \(\sigma^{*}, \pi^{*}, \delta^{*}\), etc.

Valence bond theory of chemical bonding was put forward initially by (a) Heisenberg (b) Einstein (c) Heitler and London (d) dc Broglie

The phenomenon of resonance is explained by (a) molecular orbital theory (b) valence bond theory (c) neither of the two (d) both the above
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