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🧪 Chapter: Atomic Structure
🔹 1. Introduction to Atomic Structure
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Atom: The smallest particle of an element that retains its chemical properties.
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Atomic structure refers to the arrangement of electrons, protons, and neutrons within an atom.
🔹 2. Subatomic Particles
| Particle | Symbol | Charge | Mass (kg) |
|---|---|---|---|
| Electron | e⁻ | -1.602 × 10⁻¹⁹ C | 9.1 × 10⁻³¹ |
| Proton | p⁺ | +1.602 × 10⁻¹⁹ C | 1.67 × 10⁻²⁷ |
| Neutron | n⁰ | 0 (neutral) | 1.67 × 10⁻²⁷ |
🔹 3. Discovery of Subatomic Particles
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Electron: Discovered by J.J. Thomson (Cathode Ray Experiment).
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Proton: Discovered by Goldstein (Canal Ray Experiment).
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Neutron: Discovered by James Chadwick (Bombardment of beryllium with alpha particles).
🔹 4. Atomic Models
a. Thomson’s Model (Plum Pudding Model)
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Atom is a positively charged sphere with electrons embedded in it.
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Drawback: Could not explain the results of Rutherford’s experiment.
b. Rutherford’s Nuclear Model
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Gold foil experiment (α-particle scattering).
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Major conclusions:
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Atom is mostly empty.
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Nucleus is dense, small, and positively charged.
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Electrons revolve around the nucleus.
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Drawbacks:
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Could not explain atomic stability.
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Did not explain atomic spectra.
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🔹 5. Bohr’s Model of Atom
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Electrons revolve in discrete circular orbits (energy levels).
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Energy is quantized.
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Energy is absorbed/emitted when an electron jumps between orbits.
Postulates:
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Electrons revolve in stable orbits without emitting energy.
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Angular momentum is quantized:
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Energy is emitted/absorbed as:
🔹 6. Atomic Number and Mass Number
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Atomic number (Z) = Number of protons = Number of electrons.
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Mass number (A) = Number of protons + Number of neutrons.
🔹 7. Isotopes, Isobars, and Isotones
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Isotopes: Same atomic number, different mass number (e.g. ¹H, ²H, ³H).
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Isobars: Same mass number, different atomic number (e.g. ⁴⁰Ca, ⁴⁰Ar).
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Isotones: Same number of neutrons, different atomic and mass numbers.
🔹 8. Electromagnetic Radiation
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Energy is emitted in the form of electromagnetic waves.
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Important terms:
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Wavelength (λ): Distance between two crests/troughs.
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Frequency (ν): Number of waves per second.
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Speed of light (c) = 3 × 10⁸ m/s.
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Relation:
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🔹 9. Planck’s Quantum Theory
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Energy is emitted/absorbed in discrete packets (quanta or photons).
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Energy of quantum:
where h = Planck's constant = 6.626 × 10⁻³⁴ Js.
🔹 10. Photoelectric Effect
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Discovered by Einstein.
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Ejection of electrons from a metal surface when light of suitable frequency falls on it.
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Explained using quantum theory:
(where φ = work function of the metal)
🔹 11. Atomic Spectra
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Emission spectrum: Light emitted by atoms when electrons return to lower energy levels.
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Hydrogen spectrum: Explained by Bohr’s model.
Lyman (UV), Balmer (Visible), Paschen, Brackett, Pfund (IR)
🔹 12. Bohr’s Energy Levels for Hydrogen Atom
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Radius of nth orbit:
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Energy of nth orbit:
🔹 13. de Broglie’s Hypothesis
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Matter has wave-like properties.
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de Broglie wavelength:
🔹 14. Heisenberg’s Uncertainty Principle
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It is impossible to determine position and momentum of a particle simultaneously with absolute accuracy.
🔹 15. Quantum Numbers
These describe the distribution of electrons:
| Quantum No. | Symbol | Meaning |
|---|---|---|
| Principal | n | Shell/energy level (n = 1,2,3...) |
| Azimuthal | l | Subshell/shape (0 to n–1) |
| Magnetic | m | Orientation (–l to +l) |
| Spin | s | Spin direction (+½ or –½) |
Subshells and Orbitals:
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s → l=0 → 1 orbital
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p → l=1 → 3 orbitals
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d → l=2 → 5 orbitals
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f → l=3 → 7 orbitals
🔹 16. Aufbau Principle
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Electrons are filled in increasing order of energy.
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Order:
1s < 2s < 2p < 3s < 3p < 4s < 3d < 4p < 5s ...
🔹 17. Pauli’s Exclusion Principle
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No two electrons in an atom can have the same set of four quantum numbers.
🔹 18. Hund’s Rule of Maximum Multiplicity
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Electrons occupy all orbitals singly before pairing begins, to maximize total spin.
🔹 19. Electronic Configuration
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Shows the arrangement of electrons.
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Example:
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Hydrogen: 1s¹
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Oxygen (Z=8): 1s² 2s² 2p⁴
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🔹 20. Limitations of Bohr’s Model
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Could not explain:
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Zeeman effect (effect of magnetic field),
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Stark effect (effect of electric field),
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Spectrum of multi-electron atoms,
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Dual nature of electron.
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