CHEM1011 Lecture Notes - Lecture 10: Quantum Chemistry, Electrostatics, Atomic Number

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Hydrogen orbitals are degenerate, i. e. the orbitals from the same energy level have the same energy - they depend only on n, the principal quantum number. For n = 3 the 3s, 3p and 3d orbitals all have the same energy: In quantum chemistry, degenerate means of equal energy". They are simply a group of orbitals with the same energy. If you have more protons, there is a stronger positive charge, therefore electrons experience more coulombic attract & so the electron orbitals contract (get smaller and closer to the nucleus). This affects the energy levels of their spectroscopy. Any system with one electron and one nuclei has solutions that are known exactly. For a single-electron system like hydrogen (or he+ etc) the schr dinger equation can be solved exactly. However, for systems with more than 1 electron, it gets complicated - the electrons repel each other (the. As such calculations require approximations and are more time-consuming (computationally expensive).

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