Wave Mechanical Model

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Although the Bohr-Rutherford Model could explain the line spectrum for hydrogen, it could do so for other elements.
It also wrongly suggested that the electron was a particle whose exact position and velocity could be specified at any time.

Instead, we do know the probability of finding an electron in a place at a certain time.

Wave Mechanical Model

Electrons occupy certain energy levels/shells in an atom. The number of electrons in each level is . Schrödinger proposed that the atom was arranged as layers within layers, and that electrons behave like waves.

Instead of 2-D orbits, electrons are found in 3-D orbitals (electron clouds, sublevels, subshells) Each orbital defined an area where the probability of finding an electron is high. Each orbital is classified by some shape, and contains a maximum of 2 electrons.

Image

Atomic Orbitals.png

Figure

s - 1 path
p - 3 paths
d - 5 paths
f - 7 paths

Electrons can spin clockwise or counter-clockwise, meaning each path can have 2 electrons.

For example, the third level has paths.

Periodic Table Groupings

Quantum Periodic Table.png

Getting the Final Configuration Term

Equation

Where:

  • is the row or period of the atom
    • Note that transition metals are offset up by 1
  • is the block that the atom belongs to
    • Left block + helium is the s block
    • Transition metals is the d block
    • Right block is the p block
    • Bottom block is the f block
  • is the column relative to the atoms block

Rules

  1. Hund's Rule
    • "Seats on a school bus"
    • Everyone want's their own "seat" and when all the "seats" are full then electrons start to double up
    • Formal definition: assign each orbital 1 electron before doubling up
  2. Pauli exclusion principle
    • Each orbital only has 2 electrons spinning in opposite directions
  3. Aufbau Principle
    • "Building up"
    • Electrons are added to the lowest energy orbital available

Ion Charges

Info

The s and p electrons are considered more likely t; participate in chemical bonding

Example - Lead