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.