Past Exam for CHEM 125 - Freshman Organic Chemistry II at Yale (Yale)

Exam Information

Material Type:Mid-Term
Class:CHEM 125 - Freshman Organic Chemistry II
University:Yale University
  • Total Energy
  • Complicated
  • Accommodating
  • Wavefunction
  • Continued...
  • Interesting
  • Wave Functions
  • Wave Function
  • Formulation
  • Single Bond
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Sample Document Text

Here are lots of quantum mechanics questions from previous exams that would be fair game this year: 5. (2 min) What is a quantum-mechanical wave function a function of (i.e. what are its independent variables and how many are there)? 6. (4 min) List the conditions a wave function must satisfy in order to solve the Schrödinger equation. 7. (6 min) Suppose cos(ax) solves the Schrödinger Equation for a particle in one dimension. a) From cos(ax) determine mathematically the kinetic energy as a function of position. b) Explain mathematically how the total energy varies with 1/a, the wavelength of the function. 4. (2 min) Formulae for the wave function of H-like atoms look very complicated because of all the constants that appear in order to give proper scaling. For what purpose does one need to scale the wave functions? 8. The curve below is Psi, a solution to the Schrödinger equation for a familiar type of potential energy function. The horizontal line is at a Psi value of 0. The function c...

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