Exploring Electron Wavefunctions and Atomic Orbitals

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Questions and Answers

Which of the following is a valid description of the spatial wavefunction for an electron on each of two widely separated H atoms?

  • Ψ(1,2) = ψA(1)ψB(1)
  • Ψ(1,2) = ψA(2)ψB(2)
  • Ψ(1,2) = ψA(2)ψB(1)
  • Ψ(1,2) = ψA(1)ψB(2) (correct)

When the atoms are close together, what is the valid description of the spatial wavefunction for the two electrons?

  • Ψ(1,2) = ψA(1)ψB(2)
  • Ψ(1,2) = ψA(1)ψB(1)
  • Ψ(1,2) = ψA(2)ψB(1) (correct)
  • Ψ(1,2) = ψA(2)ψB(2)

What is the better description of the molecule when two outcomes are equally probable in quantum mechanics?

  • Ψ(1,2) = ψA(1)ψB(1)
  • Ψ(1,2) = ψA(2)ψB(1)
  • Ψ(1,2) = ψA(1)ψB(2) ± ψA(2)ψB(1) (correct)
  • Ψ(1,2) = ψA(1)ψB(2)

Which combination of the linear combinations Ψ(1,2) = ψA(1)ψB(2) ± ψA(2)ψB(1) has lower energy?

<p>Ψ(1,2) = ψA(1)ψB(2) + ψA(2)ψB(1) (C)</p> Signup and view all the answers

What is the correct notation for the spatial wavefunction of an electron on each of two widely separated H atoms when electron 1 is on A and electron 2 is on B?

<p>Ψ(1,2) = ψA(1)ψB(2) (D)</p> Signup and view all the answers

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