Overview of Course Structure
Includes 10 quizzes and 1 final exam
Topics covered: Quantum Mechanics, Thermodynamics, Newton/Maxwell/Classical Mechanics
Lecture Topics
Potential Energy Diagram (3D)
Energy Status and Levels
Introduction to Quantum Mechanics
Particles and quantized energy levels
Wave Mechanics Overview
Measurement Techniques
Spectroscopy
Diffraction
Emphasis on Theory over Equations
Chapter 9: Molecular Structure & Interaction
Chapter 11: Wave Mechanics
Quantum Mechanics Approach
Focuses on molecular levels and mathematical approximation
Limitations of the model but practical utility, including Bohr's model of quantizing energy states
Free energy vs. Quantized energy in confined systems
Important Concepts
Planck's constant (h = 6.625 x 10^-34 J·s)
Relation to photons and oscillating atoms
Blackbody radiator relation to energy distribution
Key Quantum Mechanical Principles
Distribution and intensity comparison
Maxwell's Equations
de Broglie Hypothesis: ( p = mv = h/\lambda )
Heisenberg Uncertainty Principle: ( \Delta x \Delta p \geq \frac{\hbar}{2} )
Wave Equation in Quantum Mechanics
Probability and bonding/orbitals
Energy state descriptions
Ground state and higher energy states defined via quantum numbers ( n )
Principle quantum numbers dictate energy levels
Energy state transitions involve absorption and release of energy
Angular momentum describes orbital shapes
Orbital quantum numbers: 0 (s), 1 (p), 2 (d), 3 (f)
Magnetic quantum numbers (
Spin quantum numbers
Each state defined uniquely by a set of 4 quantum numbers
Wave equations include terms for amplitude and relative phase
Wave Analysis
Amplitude (A) and coefficients in wave equations
Use of complex exponential functions to represent waves
Time-independent solutions in quantum chemistry: ( \Psi(x) = A e^{i(kx-wt)} )
Energy Equations
Total energy representation via kinetic (KE) and potential energy (PE): ( E = KE + U )
Focus on the significance of total energy and its components ( (E - U) )
Relation to intensity observed in wave phenomena
2nd Order Partial Differential Equations relevant to wave equations