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Explore the fundamentals of electron energy levels and their associated wave forms within atomic structure. This overview covers energy levels that exist and those that are forbidden, highlighted by the phenomenon of standing waves. We delve into the implications of Pauli's Exclusion Principle on electron spins, transitioning energy levels of hydrogen atoms, and how electron configurations are systematically filled across various orbitals—from s, p, d to f. Gain insights into electron configurations, representative notations, and their application in understanding atomic behavior.
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Wave form for an electron Energy Level that can exist.
1st Energy Level has an s-orbital with 1 orientation = 2 e- 2nd Energy Level has an s-orbital with 1 orientation = 2e- p-orbital with 3 orientations = 6e- (total of 8e-) 3rd Energy Level has an s-orbital with 1 orientation = 2e- p-orbital with 3 orientations = 6e- d-orbital with 5 orientations = 10e- (total of 18e-) 4th Energy Level has an s-orbital with 1 orientation = 2e- p-orbital with 3 orientations = 6e- d-orbital with 5 orientations = 10e- f-orbital with 7 orientations = 14e- (total of 32e-)
5th Energy Level has an s-orbital with 1 orientation = 2e- p-orbital with 3 orientations = 6e- d-orbital with 5 orientations = 10e- f-orbital with 7 orientations = 14e- (total of 32e-) 6th Energy Level has an s-orbital with 1 orientation = 2e- p-orbital with 3 orientations = 6e- d-orbital with 5 orientations = 10e- (total of 18e-) 7th Energy Level has an s-orbital with 1 orientation = 2e- p-orbital with 3 orientations = 6e- (total of 8e-) Total electrons accounted for = 118
Principle Energy Levels with orbitals, showing orbital overlaps
Order of electron fill The resulting order in which electrons will fill the possible sublevels is: 1s 2s 2p 3s 3p 4s 3d 4p 5s 4d 5p 6s 4f 5d 6p 7s 5f 6d 7p
These electrons can fit in the same orbital because they have opposite spins.
Pauli’s Exclusion Principle Two electrons with the same spin would have an additional magnetic repulsion in addition to their electrical repulsion and would, therefore be excluded from occupying the same orbital.
The p-orbital has 3 orientations. All three orientations are at the same energy. If there were 3 electrons to be placed in the p-orbital, then each would have a different orientation, as illustrated below:
If there were a fourth electron to be placed in this set of orbitals it would pair with one of these, spinning in the opposite direction.
Methods for indicating electron placements Isotopic Symbol Electron Configuration Orbital Notation Noble Gas Notation Bohr – Rutherford Model