Title: Summary Solving the Schrödinger Equation for an Atom

Choose the correct statement.

- The characteristics of atomic orbitals can be reviewed using the solution of the Schrödinger equation for an electron in a Coulomb potential. (correct)
- The characteristics of atomic orbitals can be reviewed using the solution of the Schrödinger equation for an electron in a harmonic potential.

- The solution of the particle on a ring problem gives one quantum number: m. (correct)
- The solution of the particle on a ring problem gives one quantum number: n.

- The solutions of a particle on a sphere (spherical harmonics Y) are determined by 2 quantum numbers: l and m. (correct)
- The solutions of a particle on a sphere (spherical harmonics Y) are determined by 2 quantum numbers: n and l.

- The solutions of the particle in a Coulomb potential (product of the spherical harmonics Y and the associated Laguerre functions R) are determined by 3 quantum numbers: n, l and m, with certain allowed values. (correct)
- The solutions of the particle in a Coulomb potential (product of the spherical harmonics Y and the associated Laguerre functions R) are determined by 3 quantum numbers: s, l and m, with certain allowed values.

- Each atomic orbital is described by a specific set of quantum numbers. For example, l=0 corresponds to s orbitals, 1 to p orbitals, 2 to d orbitals and 3 to f orbitals. (correct)
- Each atomic orbital is described by a specific set of quantum numbers. For example, l=0 corresponds to s orbitals, 1 to d orbitals, 2 to p orbitals and 3 to f orbitals.

- As n increases for the same l, the spatial extent of the atomic orbital increases. (correct)
- As n increases for the same l, the spatial extent of the atomic orbital decreases.

- As l increases for a given n, the spatial extent of the atomic orbital decreases. (correct)
- As l increases for a given n, the spatial extent of the atomic orbital increases.

- It is important to remember that in a transition metal ion, 4s electrons are removed before 3d electrons. (correct)
- It is important to remember that in a transition metal ion, 3d electrons are removed before 4s electrons.

- According to the Born-Oppenheimer approximation, the motion of atomic nuclei and electrons in a molecule can be separated. (correct)
- According to the Born-Oppenheimer approximation, the motion of atomic nuclei and electrons in a molecule is strongly coupled, and therefore can be treated as a whole.