In-Depth Notes on Atomic Structure and Atomic Mass

Inquiry Question

  • Why are atoms of elements different from one another?

Basic Structure of Atoms

  • Atoms consist of a nucleus surrounded by electrons.
  • Nucleus contains:
    • Protons: positively charged particles.
    • Neutrons: neutral particles.
  • Electrons are negatively charged and are held by electrostatic attraction to the nucleus.
  • The nucleus accounts for 99.97% of the atomic mass, though the electron cloud occupies a much larger volume (10³ - 10⁵ times larger than the nucleus).
  • Protons and neutrons are collectively termed nucleons.

Atomic Classification

  • Atomic Number (Z): Number of protons in the nucleus; determines the element.
  • Mass Number (A): Sum of protons and neutrons in the nucleus; indicates total mass of the nucleus.
    • Formula: Number of Neutrons = A - Z.
  • Electrically Neutral Atoms: Equal numbers of protons and electrons.

Isotopes

  • Isotopes are atoms with the same atomic number but different mass numbers (A).
  • They have identical chemical properties but exhibit different physical properties (e.g., mass, density).
  • Examples:
    • Carbon isotopes: Carbon-12, Carbon-13, Carbon-14.

Unstable Isotopes and Radioactivity

  • Radioactive Isotopes (Radioisotopes): Isotopes that are unstable and emit radiation.
    • All nuclei with 84 or more protons are radioactive.
  • Types of Radiation:
    • Alpha (α) Particles: Heavy, positively charged (2 protons & 2 neutrons); low penetrating power (stopped by paper).
    • Beta (β) Particles: High-energy electrons; negatively charged; more penetrating than alpha particles (increases atomic number by 1).
    • Gamma (γ) Radiation: High-energy electromagnetic radiation; carries no charge; highly penetrating.

Nuclear Reactions and Stability

  • The band of stability indicates isotopes that are stable compared to those that are radioactive.
  • Unstable nuclei undergo decay processes emitting alpha, beta, or gamma radiation.

Neutron to Proton Ratio

  • Stability is affected by the ratio of neutrons to protons (n:p).
  • Lighter nuclei have a balanced n:p ratio; heavy nuclei require higher neutrons to protons for stability.
  • Nuclei outside stability tend to emit particles to reach a stable n:p ratio.

Half-Life of Isotopes

  • Half-life: Time required for half of the atoms in a sample to undergo radioactive decay; it remains constant regardless of the sample size.

Atomic Mass and Isotopic Composition

  • Relative Atomic Mass (Ar): Average mass of an atom accounting for isotopic abundance, compared to carbon-12.
  • Relative Isotopic Mass (Ir): Mass of an individual isotope.
  • Abundance of isotopes is measured using a mass spectrometer, which reveals the mixture and average mass from isotopes present.

Electron Configuration

  • Electrons are arranged in energy levels/shells around the nucleus, denoted as 1s, 2s, 2p, etc.
  • Electron configurations demonstrate how electrons occupy orbitals:
    • Lower energy levels fill first.
    • Maximum number of electrons per shell is determined by the formula 2n^2.
    • For example, Hydrogen: 1s¹, Helium: 1s², Lithium: 1s² 2s¹, etc.
  • Valence Electrons: Electrons in the outermost shell; involved in chemical bonding and reactions following the octet rule.

Limitations of Models

  • The Bohr model explains hydrogen well but cannot account for more complex atoms nor why electron shells are filled the way they are.
  • Schrödinger's Model: Introduced quantized wave functions, describing the probability of finding electrons in orbitals instead of fixed paths.
  • Utilizes the concept of orbitals (s, p, d, f) where electron density varies, differs from classical orbits.
  • Pauli’s Exclusion Principle states that each orbital can hold a maximum of 2 electrons with opposite spins.
  • Anomalous Electron Configurations: Some transition metals (Cr, Cu) show unexpected electron arrangements for stability.

Summary of Concepts

  • Understanding atomic structure includes knowledge of atomic particles, isotopes, radioactivity, electronic configurations, and quantum mechanics.
  • Different elements exhibit unique atomic behaviors due to the arrangement and number of their electrons, neutrons, and protons.