Foundations of College Chemistry - Chapter 10 Notes

Modern Atomic Theory and the Periodic Table

  • Examines the structure of the atom and how it relates to the periodic table.
10.1 Electromagnetic Radiation
  • Electromagnetic Radiation: Energy that travels in waves. Types include radio waves, X-rays, visible light, and microwaves.
  • Basic Properties of Waves:
    • Wavelength (λ): Distance between consecutive wave peaks.
    • Frequency (v): Number of wave peaks that pass a point per second.
    • Speed of Light (c): All electromagnetic radiation travels at the speed of light.
    • Energy of Photons: E = hu = hc/λ where h = Planck’s constant.
  • Electromagnetic Spectrum: Range of all types of electromagnetic radiation, displaying both wave-like and particle characteristics (photons).
10.2 The Bohr Atom
  • Bohr's Theory:
    • Electrons exist in defined orbits around the nucleus at fixed distances.
    • Absorption/emission of energy results in transitions between these orbits.
    • Each orbit corresponds to a quantized energy level.
  • Ground State: The lowest energy level of an atom. Energy gaps between levels dictate the emission spectrum.
  • The hydrogen spectrum can be explained well by Bohr’s model, but it fails for multi-electron systems.
10.3 Energy Levels and Quantum Mechanics
  • Wave-Particle Duality: Proposed by DeBroglie; matter can exhibit wave-like behavior.
    • Schrödinger Equation: Developed in 1926 to describe the wave nature of electrons and calculate probabilities within atoms.
  • Atomic Structure:
    • Shell (n): Energy level of electrons, further divided into subshells and orbitals.
    • Subshells Types: s (1 orbital), p (3 orbitals), d (5 orbitals), f (7 orbitals).
    • Each orbital can hold 2 electrons with opposite spins (Pauli Exclusion Principle).
Electron Distribution and Capacity
  • Electron Configuration: Arrangement of electrons across shells and subshells, following three main rules:
    1. Fill lowest energy orbitals first.
    2. Each orbital holds 2 electrons of opposite spin.
    3. Degenerate orbitals are half-filled before pairing.
  • Total Electron Capacity for each shell calculated using the formula: 2n², where n = shell number.
    • Example: n=3 holds a maximum of 18 electrons
10.5 Electron Structures and the Periodic Table
  • Periodic Table groups elements based on their valence electron configuration.
    • Valence Shell: Outermost shell, influencing chemical reactivity.
    • Elements in the same group share similar chemical properties due to similar valence electron configurations.
  • Valence Electrons: Number corresponds to the group number in the periodic table. Phosphorus (P) has 5 valence electrons (Group 15).
  • Examples of Electron Configurations:
    • Sodium (Na): [Ne] 3s¹ = 11 electrons.
    • Argon (Ar): [Ne] 3s² 3p⁶ = 18 electrons.
Practice Problems and Solutions
  • Problem examples cover calculating the maximum number of electrons in subshells, determining elements based on electron configuration, and writing electron configurations for given elements.
Key Tables
  • Table of Electron Configurations: Lists the electron configurations of the first few elements, side by side with their atomic numbers and corresponding orbitals.