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Jul 16, 2024

Lecture: Structure of Atom (स्ट्रक्चर ऑफ एटम) 🧪

Introduction

  • Chapter Importance: The structure of the atom is a very scoring chapter in itself.
  • Key Topics: Redox, Orbital
  • Electron Placement: Electrons are filled in the increasing order of energy.

Discovery of Subatomic Particles

Discovery of Electron (J.J. Thomson)

  1. Experiment: Cathode ray tube experiment
  2. Findings: Electron is a negatively charged particle
  3. Properties:
    • Travels from cathode to anode
    • Straight-line traveling
    • Independent of gas nature

Discovery of Proton

  1. Cathode ray experiment
  2. Identification: Anode rays or canal rays
  3. Properties:
    • Moves from anode to cathode
    • Positive charge

Discovery of Neutron (James Chadwick)

  1. Experiment: Bombardment of Beryllium sheet with alpha particles
  2. Findings: Neutral particle (Neutron)
  3. Properties: Mass 1.674*10^-27 kg, no charge

Atomic Models

Dalton's Atomic Theory

  • Atoms are indivisible.
  • Most basic particles of matter

Thomson Atomic Model

  • Watermelon model
  • Positive charge uniformly distributed
  • Limitation: Couldn't explain atomic stability

Rutherford Atomic Model

  1. Experiment: Gold foil experiment
  2. Observations and Conclusions:
    • Most alpha particles pass without deflection
    • Nucleus is positively charged
    • Atoms are mostly empty space
  3. Limitations: Couldn't explain atomic stability

Bohr's Model

  1. Postulates: Fixed circular paths, energy levels upon transition
  2. Formula: E_n = -13.6 * Z² / n² electron volt
  3. Limitations: Multi-electron species, Zeeman, Stark effect

Wave-Particle Duality

De Broglie's Hypothesis

  • Wavelength associated with matter: λ = h / mv
  • Significance for microscopic particles

Heisenberg Uncertainty Principle

  • Δx * Δp ≥ h / 4π
  • Importance: The position and velocity of microscopic particles cannot be measured precisely

Quantum Mechanical Model

  1. Schrödinger's Equation: Wave-particle solution
  2. Quantum Numbers: n, l, m_l, m_s

Quantum Numbers

Principal Quantum Number (n)

  • Indicates atomic shell

Azimuthal Quantum Number (l)

  • Indicates subshell
  • l = 0 (s), 1 (p), 2 (d), 3 (f)

Magnetic Quantum Number (m_l)

  • Orientation of orbitals

Spin Quantum Number (m_s)

  • Electron spin: +1/2 or -1/2

Atomic Orbitals and Their Shapes

  • s-Orbital: Spherical
  • p-Orbital: Dumbbell-shaped
  • d-Orbital: Double dumbbell

Energy of Atomic Orbitals

  • Hydrogen-like Species: Energy depends only on n
  • Multi-electron Species: Energy depends on both n and l

Electron Configurations

  • Aufbau Principle: Electrons fill in energy order
  • Pauli Exclusion Principle: Two electrons in an orbital with opposite spins
  • Hund's Rule: Electrons occupy degenerate orbitals singly first.
  • Exceptions: Chromium (Cr), Copper (Cu)

Magnetic Properties

  • Diamagnetic: No unpaired electron
  • Paramagnetic: At least one unpaired electron
  • Formula: µ = √(n(n+2)) BM

Conclusion and Important Tips

  • Importance of revision
  • How to score from the chapter
  • Study efficiently and enjoyably

Example Problems and Homework

  • Several questions and answers are provided for you to think and solve.