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Atomic Structure, Electron Configuration, and Periodic Trends: Study Notes

Study Guide - Smart Notes

Tailored notes based on your materials, expanded with key definitions, examples, and context.

Atomic Structure and Electron Configuration

Ground State Electron Configuration

Electron configuration describes the arrangement of electrons in an atom's orbitals. The ground state configuration is the lowest energy arrangement of electrons.

  • Full electron configuration: Lists all occupied orbitals in order of increasing energy.

  • Condensed electron configuration: Uses noble gas notation to simplify the configuration.

  • Example: For fluorine (F): Full: Condensed: [He]

Box Diagrams (Valence Shell Only)

Box diagrams visually represent electron occupancy in orbitals, showing paired and unpaired electrons.

  • Each box: Represents an orbital; arrows indicate electrons and their spins.

  • Example: For F: [He] 2s (two paired electrons), 2p (five electrons: two pairs, one unpaired).

Quantum Numbers and Atomic Orbitals

Quantum Numbers

Quantum numbers describe the properties of atomic orbitals and the electrons in them:

  • Principal quantum number (n): Energy level (shell)

  • Angular momentum quantum number (l): Subshell (s, p, d, f)

  • Magnetic quantum number (ml): Orientation of orbital

  • Spin quantum number (ms): Electron spin (+1/2 or -1/2)

Orbital Sketches

Orbitals are regions in space where electrons are likely to be found. For a fluorine atom, the 2p orbitals are shown as three perpendicular dumbbell shapes centered on the nucleus.

  • Each orbital: Assigned quantum numbers (n, l, ml, ms).

Effective Nuclear Charge (Zeff) and Periodic Trends

Effective Nuclear Charge (Zeff)

Zeff is the net positive charge experienced by valence electrons, accounting for shielding by inner electrons.

  • Formula: Where Z = atomic number, S = number of shielding electrons

  • Trend: Zeff increases across a period (left to right) and decreases down a group.

  • Example: For P, Cl, As, Br (all with 2p electrons):

    Element

    Z

    S

    Zeff

    P

    15

    2

    13

    Cl

    17

    2

    15

    As

    33

    2

    31

    Br

    35

    2

    33

    Bromine's 2p electrons feel the largest Zeff.

Atomic Radius Trends

Atomic radius generally decreases across a period due to increasing Zeff, pulling electrons closer to the nucleus. Down a group, radius increases as additional shells are added.

  • Additional info: The effect of electron repulsion and shielding is more pronounced in elements with more electrons.

Transition Metals and Oxidation States

Variable Oxidation States

Transition metals can exhibit multiple oxidation states due to the similar energies of their s and d orbitals.

  • Example: Vanadium ([Ar] ) can have +1 or +2 oxidation states by removing electrons from the 4s orbital.

  • Higher oxidation states: Require removal of electrons from inner shells, which needs much more energy due to higher Zeff.

Ionization Energy and Periodic Trends

Ionization Energy

Ionization energy is the energy required to remove an electron from an atom in the gas phase.

  • Trend: Increases across a period, decreases down a group.

  • Example: For Ti, K, Mg, Na:

    Element

    Electron Configuration

    Z

    S

    Zeff

    Ti+

    [Ar] 4s1 3d1

    22

    18

    4

    K+

    [Ne] 3s2 3p6

    19

    10

    9

    Mg+

    [Ne] 3s2

    12

    10

    2

    Na+

    [He] 2s2 2p6

    11

    10

    1

    It is hardest to remove an additional electron from Na+ due to its higher Zeff and smaller radius.

Excited State Electron Configurations

Excited States

An excited state occurs when an electron absorbs energy and moves to a higher energy orbital.

  • Example: Sodium with configuration (excited state).

  • Energy absorption: The electron must absorb energy to move from the 3s to the 3p orbital.

Summary Table: Key Concepts

Concept

Definition

Example/Application

Electron Configuration

Arrangement of electrons in orbitals

[He] for F

Quantum Numbers

Describe electron properties in orbitals

n=2, l=1, ml=0, ms=+1/2

Zeff

Net positive charge felt by valence electrons

Ionization Energy

Energy to remove an electron

Highest for Na+ in the given set

Excited State

Electron in higher energy orbital

Sodium:

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