CHEM 3500 Spring 2006 Exam 1 Review: Quantum Mechanics and Molecular Structure, Exams of Physical Chemistry

Download CHEM 3500 Spring 2006 Exam 1 Review: Quantum Mechanics and Molecular Structure and more Exams Physical Chemistry in PDF only on Docsity! CHEM 3500 Spring 2006 Review for Exam 1 No formula sheet will be allowed. Useful formulas to be know: – Wien’s displacement law: K cm29.0max =λT – Planck’s quantization of energy: νnhE = – Transition between energy levels (photon energy): λ νν hchchEE ====∆ ~photon – Photoelectric Effect: Φhmv −== ν2 2 1KE – Wave-particle duality (de Broglie relation): mv h p h ==λ – The Heisenberg Uncertainty Principle: h2 1≥∆xp∆ – Quantized Translational Motion (Particle in a Box): 2 22 8mL hnEn = – Quantized Rotational Motion (Particle on a Ring): I mE l 2 22h = , 2mrI = – Quantized Vibration Motion (The Harmonic Oscillator): νhvEv )( 2 1+= , µπ ν k 2 1 = , 21 21 mm mm + ⋅ =µ – Rydberg Formula (H atom spectra):        −= 2 2 2 1 H 11~ nn Rν – Energy levels of a hydrogenic atom: 2 H n hcREn −= – Ionization energy of hydrogen-like atoms: 2 2 H n ZhcRI = – General molecular orbital expression: AO orbitals atoms, MO ψψ ic∑= – Bond order: 2 *nnb −= CHEM 3500 Spring 2006 Topics: – Experimental phenomena explained using quantum mechanics ideas – Applications of quantum mechanics to translational, rotational, and vibrational motions – Wavefunctions: significance, properties, etc. – Orbitals: shape, size, numbers, nodal properties, etc. – Quantum numbers and significance – Electronic configurations for atoms, ions, and molecules – Periodic trends in atomic properties – Valence bond theory: hybridization, hybrids orbitals, molecular geometries, etc. – Molecular orbital energy diagram for diatomics and applications: MO labels, bond orders, lengths, strengths, number of unpaired electrons, etc. – Intermolecular interactions