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Quantum Mechanical Model
Main Concept: The currently accepted best model of the atom is based on the quantum mechanical (QM) model.
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Evidence for Quantum Mechanical Model
Electrons & QM Model Subshells & Orbitals s p d f Evidence for Quantum Mechanical Model What we expect without subshells What subshells explain Valence Electrons and Electron Configurations
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- Coulomb’s law describes the energy interaction between protons and electrons
- Electrons do not follow specific orbits - orbital: regions of space where electrons are found
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- Electrons have an intrinsic property called spin that results in atoms having a magnetic moment.
- An orbital can hold two electrons at most and electrons must have opposite spin (Pauli Exclusion Principle)
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Electron Configurations
s subshell has 1 orbital and holds two electrons p subshell has 3 orbitals and holds six electrons d subshell has 5 orbitals and holds ten electrons f subshell has 7 orbitals and holds fourteen electrons Order of subshells: 1s 2s 2p 3s 3p 4s 3d 4p 5s 4d 5p 6s 4f 5d 6p 7s 5f 6d 7p
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Electron Configurations
Hund’s Rule: a single electron must first occupy each orbital within a subshell before orbital is doubly occupied and single electrons in orbitals must all have same spin Aufbau Principle: electrons fill lowest energy level first before filling higher levels
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Electron Configurations
Longhand Configuration Examples: for Si: 1s2 2s2 2p6 3s2 3p2 for In: 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p6 5s2 4d10 5p1 Shorthand/Noble Gas Configuration Examples: for Si: [Ne] 3s2 3p2 for In: [Kr] 5s2 4d10 5p1
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7 6 5 4 3 C N O F Ne B Li Be 2 H He 1
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Group 1A: H: 1s1 Li: 1s2 2s1 Na: 1s2 2s2 2p6 3s1 K: 1s2 2s2 2p6 3s2 3p6 4s1
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Group 2A: Be: 1s2 2s2 Mg: 1s2 2s2 2p6 3s2 Ca: 1s2 2s2 2p6 3s2 3p6 4s2
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Group 3A: B: 1s2 2s2 2p1 Al: 1s2 2s2 2p6 3s2 3p1 Ga: 1s2 2s2 2p6 3s2 3p1 4s2 3d10 4p1 Ga: 1s2 2s2 2p6 3s2 3p1 3d10 4s2 4p1
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Group 4A: C: 1s2 2s2 2p2 Si: 1s2 2s2 2p6 3s2 3p2 Ge: 1s2 2s2 2p6 3s2 3p1 4s2 3d10 4p2 Ge: 1s2 2s2 2p6 3s2 3p1 3d10 4s2 4p2
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Group 5A: N: 1s2 2s2 2p3 P: 1s2 2s2 2p6 3s2 3p3 As: 1s2 2s2 2p6 3s2 3p1 4s2 3d10 4p3 As: 1s2 2s2 2p6 3s2 3p1 3d10 4s2 4p3
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Group 6A: O: 1s2 2s2 2p4 S: 1s2 2s2 2p6 3s2 3p4 Se: 1s2 2s2 2p6 3s2 3p1 4s2 3d10 4p4 Se: 1s2 2s2 2p6 3s2 3p1 3d10 4s2 4p4
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Group 7A: F: 1s2 2s2 2p5 Cl: 1s2 2s2 2p6 3s2 3p5 Br: 1s2 2s2 2p6 3s2 3p1 4s2 3d10 4p5 Br: 1s2 2s2 2p6 3s2 3p1 3d10 4s2 4p5
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Group 8A: He: 1s2 Ne: 1s2 2s2 2p6 Ar: 1s2 2s2 2p6 3s2 3p6 Kr: 1s2 2s2 2p6 3s2 3p1 4s2 3d10 4p6 Kr: 1s2 2s2 2p6 3s2 3p1 3d10 4s2 4p6
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- The quantum mechanical (QM) model addresses problems classical shell model
- QM model consistent with atomic electronic structures that correspond with the periodic table
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Problems with the Bohr Model
- Not all of the spectra could be correctly predicted for larger atoms and couldn’t explain certain spectra - Contradicted Heisenberg’s Uncertainty Principle; it assumed knowledge of both location and momentum
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What does the QM model address?
- The dual nature of the electron (as a particle and a wave) - Correctly predicts spectra - Allows for probability waves in agreement with Heisenberg’s Uncertainty Principle - Consistent with periodic models, data, and trends
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Question: What explanation could possibly be given for why IE’s in periods 2 and 3 increase but also decrease?
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- The QM model can be appropriately solved using computers and serves as the basis for software that calculates the structure and reactivity of molecules.
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s p p s p p d d d s d d d p p s f f f f
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