Energy Minimization: The Aufbau Principle states that electrons occupy the lowest energy orbitals available before filling higher energy ones.
Filling Order: The sequence of filling follows the increasing energy of sub-shells: .
The 4s vs 3d Relationship: In neutral atoms, the sub-shell is slightly lower in energy than the sub-shell, meaning fills completely before any electrons enter the orbitals.
Diagonal Rule: A visual mnemonic where arrows are drawn diagonally through a grid of sub-shells to determine the correct sequence of orbital filling.
Pauli Exclusion Principle: This rule dictates that an orbital can hold a maximum of two electrons, and they must have opposite spins (represented as up and down arrows).
Spin-Pair Repulsion: Electrons are negatively charged and repel each other. When two electrons share an orbital, they experience spin-pair repulsion, which is slightly destabilizing.
Hund's Rule: To minimize repulsion, electrons will occupy empty orbitals of the same sub-shell singly and with parallel spins before they begin to pair up.
Orbital Diagrams: These are visual representations using boxes or lines for orbitals and arrows for electrons, clearly showing the application of Hund's Rule and the Pauli Principle.
Full Configuration: This method lists every sub-shell and the number of electrons it contains in order of filling, such as .
Noble Gas Shorthand: To simplify notation, the symbol of the preceding noble gas is placed in square brackets to represent the core (inner) electrons, followed by the valence configuration (e.g., ).
Valence Electrons: These are the electrons in the outermost shell that determine the chemical properties and reactivity of the element.
| Feature | s-block | p-block | d-block |
|---|---|---|---|
| Valence Sub-shell | |||
| Periodic Table Location | Groups 1 & 2 | Groups 13-18 | Transition Metals |
| Max Electrons in Sub-shell | 2 | 6 | 10 |
Chromium (Cr): Instead of the expected , Chromium adopts . This occurs because having six unpaired electrons (one in and five in ) minimizes electron-electron repulsion and is energetically favorable.
Copper (Cu): Copper adopts rather than . The full sub-shell provides a significant increase in stability that outweighs the cost of promoting an electron from .
General Principle: These exceptions highlight that the "rules" of configuration are heuristics for finding the lowest energy state, and specific electronic interactions can sometimes override the standard filling order.
Check the Total: Always sum the superscripts in your configuration to ensure they equal the atomic number of the neutral atom or the adjusted electron count for an ion.
Transition Metal Cations: A common mistake is removing electrons first. Always remember: "First in (), first out ()" when ionizing transition metals.
Hund's Rule Verification: When drawing orbital diagrams for or sub-shells, ensure you place one electron in each orbital before pairing them to avoid losing marks on spin-pair repulsion concepts.
Noble Gas Selection: Ensure you use the noble gas from the period immediately preceding the element in question for shorthand notation.