CHE 3190 Survey of Physical Chemistry (Fall 2014) Study Guide for Exam 1 (Things you should know) The exam covers Chapters 1, 2, 3 from House , Fundamentals of Quantum Chemistry , 2nd. ed. CH 1 : The Early Days All All assigned End of Chapter Problems All Practice Exercises (PE), all daily quizzes (DQ) 1.1 Blackbody Radiation Interpret the graph f( v ) versus v Use lmax ×T = const to determine the temperature of a star given relevant data You don't need to know or interpret the formulas by Wien, Rayleigh, Rayleigh-Jeans, Planck Calculations using E = hv ; lv = c ; v= v ; c = h 2p 1.2 The Line Spectrum of Atomic Hydrogen Recognize the Series (Lyman, Balmer, Paschen, Brackett, Pfund) Balmer's Formula , Rydberg constant Continuous Spectrum , Line Spectra 1.3 The Bohr Model for the Hydrogen Atom Don't need to derive the formulas n = principal QN Reduced Mass : DE = hv = m= m1m2 m1 + m2 hc l Ground State, Exited State , Ionization Energy 1.4 The Photoelectric Effect Difference between the classical and the quantum mechanical understanding of electromagnetic radiation Photon E = hv - w ; Unit conversions mu 2 p 2 E= = 2 2m 1.5 Particle-Wave Duality De Broglie Wavelength l= h h h = = mu p 2mE 1.6 The Heisenberg Uncertainty Principle DxDp ³ h ; DxDu ³ h ; m DtDE ³ h G.Lind CH 2 : The Quantum Mechanical Way of Doing Things Handout : Lecture Notes for CH 2 All assigned End of Chapter Problems All Practice Exercises (PE), all daily quizzes (DQ) We will use one dimensional time-independent systems y (x) = state function (wave function) of a one dimensional time-independent system y (x) maybe a complex function Know how to work with complex numbers y *y = probability density ò y y dx ; * = probability b ò y (x)y (x)dx * = probability of finding the system between a and b a ¥ ò y (x)y (x)dx =1 Normalization Condition ò f (x)f (x)dx ¹1 Function * -¥ ¥ * f is not normalized -¥ ¥ N 2 ò f * (x)f (x)dx =1 with y = Nf Normalization : Find N , so that -¥ ¥ ò f (x)f (x)dx =1 means f1andf2 are normal ò f (x)f (x)dx = 0 means f1andf2 are orthogonal * 1 2 -¥ ¥ * 1 2 -¥ A state funcion has to be "well behaved" means it has to be FINITE, SINGLE VALUED, and CONTINUOUS Know how to normalize a function Know how to work with OPERATORS Know the operators , p̂x p̂x2 , Ĥ , x̂ , V̂(x) Know what an EIGENVALUE-EQUATION is Determine whether a function is an EF of an operator, determine the EV What is measered when Âf = af , What is measered when Âf ¹ af Determine the average value of an observable A table of integrals will be provided. Know how to use them CH 3 : Particles in Boxes 3.1 The Particle in a One-Dimensional Box All assigned End of Chapter Problems All Practice Exercises (PE), all daily quizzes (DQ) 1 æ 2 ö 2 np yn (x) = ç ÷ sin x èaø a ; n2h2 En = 8ma 2 Interpretation Term Diagram Application to conjugated dyes Calculate the absorption wavelength of a dye CHEAT SHEET: One page (8.5x11 in), both sides, everything handwritten (no copies), no answers to end of chapter problems or PEs or DQs. Your name must be on the sheet. The sheet has to be handed in with the exam.