In-Depth Notes on Atomic Structure and the Periodic Table

Bohr Model of the Hydrogen Atom

  • Proposed by Niels Bohr, linking the atom's electron to photon emission.
  • Electrons circle the nucleus in allowed paths (orbits).
  • Energy levels increase with distance from the nucleus.
  • Emission occurs when an electron falls to a lower energy level, releasing a photon.
  • Absorption occurs when energy is added to an atom, moving an electron to a higher energy level.

Hydrogen-Atom Line-Emission Spectrum

  • The ground state is the lowest energy state of an atom.
  • An excited state has higher potential energy than the ground state.
  • Passing electric current through hydrogen gas results in emission of a characteristic pinkish glow.
  • A narrow beam of emitted light separated into four specific colors through a prism, known as hydrogen’s line-emission spectrum.

Electrons as Waves

  • Louis de Broglie described electrons as waves confined to the nucleus's space.
  • Electron waves exist only at specific frequencies, correlating with quantized energies of Bohr’s orbits (E = hν).
  • Electrons can diffract (bend) like light waves when passing edges or openings.
  • Interference occurs when waves overlap.

The Heisenberg Uncertainty Principle

  • Proposed by Werner Heisenberg; the attempt to locate an electron with a photon disrupts its course.
  • Impossible to simultaneously determine both the position and velocity of an electron.

The Schrödinger Wave Equation

  • Developed by Erwin Schrödinger in 1926, treating electrons as waves.
  • Along with Heisenberg's principle, it forms the foundation of modern quantum theory.
  • Electrons do not travel in neat orbits but exist in regions called orbitals (3D space indicating probable location).

Atomic Orbitals and Quantum Numbers

  • Quantum numbers specify orbital properties and electron characteristics:
    • Principal quantum number (n): main energy level occupied by the electron.
    • Angular momentum quantum number (l): shape of the orbital.
    • Magnetic quantum number (m): orientation of an orbital around the nucleus.
    • Spin quantum number: (+1/2 or -1/2), indicating electron spin states.

Rules Governing Electron Configurations

  • Aufbau principle: electrons occupy the lowest-energy orbital first.
  • Pauli exclusion principle: no two electrons can have the same set of four quantum numbers.
  • Hund's rule: orbitals of equal energy are singly occupied before pairing occurs; same spin for singly occupied orbitals.
  • Ground-state electron configuration: lowest-energy arrangement of electrons for elements (e.g., Potassium: K = 1s² 2s² 2p⁶ 3s² 3p⁶ 4s¹).
  • Irregularities in Chromium (Cr) and Copper (Cu): stable configurations favor full or half-full d-orbitals.

Orbital Notation and Noble-Gas Notation

  • Orbital notation displays unoccupied and occupied orbitals.
  • Noble-gas configuration uses electron arrangement of noble gases to represent elements more succinctly.
    • Example: Rubidium (Rb) = [Kr]5s¹.

History of the Periodic Table

  • Dmitri Mendeleev noticed patterns in elements arranged by increasing atomic mass; similar properties reappeared periodically.
  • He left gaps in the table, predicting undiscovered elements like Scandium, Germanium, and Gallium.

Moseley and the Periodic Law

  • Henry Moseley discovered arranging elements by atomic number fits patterns better than by atomic mass.
  • The Periodic Law states that the properties of elements are periodic functions of their atomic numbers.

The Modern Periodic Table

  • Arranged by atomic number; similar properties in columns (groups).
  • Organized in horizontal rows (periods); length determined by the number of electrons filling sublevels.

Block Distribution in the Periodic Table

  • s block: Groups 1 (alkali metals) and 2 (alkaline-earth metals).
    • Group 1: ns¹; properties include softness and high reactivity.
    • Group 2: ns²; properties include higher density and strength than Group 1.
  • d block: Groups 3–12 (Transition metals), typical metallic properties.
  • p block: Groups 13–18; varying properties within metals, metalloids, and nonmetals.
  • f block: Includes lanthanides (reactive) and actinides (radioactive).

Atomic Properties

Atomic Size
  • Defined as the distance from nucleus center to the outer electron cloud; measured in picometers (pm).
  • Smaller across a period due to increased nuclear charge pulling electrons closer; larger down a group due to increasing electron cloud size.
Ionization Energy
  • Energy required to remove an electron from a neutral atom (first ionization energy, IE₁).
  • General trend: increases across periods due to increasing nuclear charge; decreases down groups as electrons are further from the nucleus.
Electron Affinity
  • Energy change when an electron is added to a neutral atom.
  • Trends: Generally increases across periods; decreases down groups due to increased distance from nucleus.
Ionic Radii
  • Cations (positive ions) decrease atomic radius (e.g., Na⁺ < Na); anions (negative ions) increase atomic radius (e.g., Cl⁻ > Cl).
  • Ionic radii decrease across a period and gradually increase down a group.
Electronegativity
  • A measure of an atom's ability to attract electrons in a compound.
  • Generally increases across periods and decreases down groups.
  • The difference in electronegativity helps determine bond type and compound polarity.