Discovery of Subatomic Particles and Atomic Models

Jun 1, 2024

Discovery of Subatomic Particles and Atomic Models

Introduction

  • This session is intended for students who have already studied the chapter and want a quick revision.
  • The structure of the atom plays a crucial role and is highly significant in various exams like JEE.
  • The chapter can take 20-25 hours to complete; this session aims to cover it in 1 hour.

Discovery of Subatomic Particles

  • Electron (discovered using a discharge tube with a zinc sulfide coating that glowed when struck by particles)
    • Particles shown to be negatively charged, hence named electrons.
    • Properties:
      • Move in straight lines
      • Create shadows
      • E/M ratio independent of gas nature
      • Charge and mass of electrons known worldwide
  • Proton (discovered using a modified discharge tube with holes in the cathode)
    • Positive particles were named protons.
    • Anode rays or canal rays are the terms used for the rays.
    • E/M ratio dependent on the nature of the gas used
  • Neutron (discovered by bombarding beryllium with alpha particles)
    • Neutral particle named neutron.
    • Relative mass of 1, relative charge is 0

Atomic Models

  • Thompson's Atomic Model
    • Compared to a watermelon
    • Positively charged sphere with uniformly distributed negative charges (similar to watermelon seeds)
    • Known as the watermelon model or plum pudding model
  • Rutherford's Atomic Model
    • Conducted alpha ray scattering experiment using gold foil
    • Most alpha particles passed through; some deviated and very few bounced back.
    • Concluded that the atom is mostly empty space and has a small, dense, positively charged nucleus.
    • Limitations: Could not explain electron distribution or stability per Maxwell's theory

Electromagnetic Radiation (EMR)

  • Nature: Comprises oscillating electric and magnetic fields perpendicular to each other and the direction of propagation.
    • Can travel through vacuum at the speed of light
    • Includes gamma rays, X-rays, UV rays, visible light, IR, microwaves, radio waves
  • Properties
    • Wavelength (λ), Frequency (ν), and Wave Number (ν̄) defined
    • Critical formulas: ν = c/λ, E = hν = hc/λ

Phenomena Explained by EMR

  • Black Body Radiation
    • Ideal body that can absorb and emit all radiation wavelengths
    • Experimentally determined graph: Intensity vs. Wavelength
  • Photoelectric Effect
    • Emission of electrons from metal upon light exposure
    • Defined minimum threshold frequency for electron ejection
    • Important observations: No time lag, intensity affects number, threshold frequency required, kinetic energy depends on frequency
    • Explained by Einstein: hν = hν₀ + KE

Hydrogen Spectrum

  • Various Series
    • Lyman series (UV region), Balmer series (visible region), Paschen, Brackett, Pfund series (IR region)
    • Formula for wave number of emitted radiation: ν̄ = RZ²(1/n₁² - 1/n₂²)
  • Bohr's Atomic Model
    • Defined stable orbits for electrons around the nucleus
    • Quantization of angular momentum: mvr = n(h/2π)
    • Radius, velocity, and energy of electron orbitals formulated
    • Limitations: Couldn't explain spectra of multi-electron atoms, Zeeman and Stark effects, or fine structure splitting

Quantum Mechanical Model

  • De Broglie Hypothesis: Matter has both particle and wave nature
    • Formula for wavelength: λ = h/mv or λ = h/√(2mKE)
  • Heisenberg Uncertainty Principle
    • Cannot simultaneously measure position and momentum of particles with absolute certainty.
    • ΔxΔp ≥ h/4π
  • Schrodinger Wave Equation
    • Describes electron position using wave functions (Ψ) and probability.
    • Probability of finding an electron (Ψ²) determines an orbital's structure.

Quantum Numbers

  • Principal Quantum Number (n): Shell level, determines size and energy.
  • Azimuthal Quantum Number (l): Sub-shell type (s, p, d, f) and shape.
  • Magnetic Quantum Number (m): Orbital orientation within sub-shell.
  • Spin Quantum Number (s): Electron spin direction (+½ or -½).

Nodes

  • Regions where the probability of finding an electron is zero.
  • Radial Nodes: n-l-1
  • Angular Nodes (Nodal Planes): l

Electron Configuration

  • Aufbau Principle: Electrons occupy lowest energy orbitals first.
  • Pauli Exclusion Principle: No two electrons can have the same set of four quantum numbers.
  • Hund's Rule: Degenerate orbitals are singly occupied before pairing.
  • Notable exceptions: Chromium, Copper showing half-filled and fully-filled stability.

Review and Conclusion

  • Thorough understanding and review of discovery, properties, models of subatomic particles, nature and behavior of electromagnetic radiation, quantum mechanical models, and electron configurations.
  • Highlights key principles and exceptions.

Remember: This session covered essential formulas, phenomena, and models necessary for a quick revision of the atomic structure chapter.