Ch.7 - Quantum MechanicsWorksheetSee all chapters
All Chapters
Ch.1 - Intro to General Chemistry
Ch.2 - Atoms & Elements
Ch.3 - Chemical Reactions
BONUS: Lab Techniques and Procedures
BONUS: Mathematical Operations and Functions
Ch.4 - Chemical Quantities & Aqueous Reactions
Ch.5 - Gases
Ch.6 - Thermochemistry
Ch.7 - Quantum Mechanics
Ch.8 - Periodic Properties of the Elements
Ch.9 - Bonding & Molecular Structure
Ch.10 - Molecular Shapes & Valence Bond Theory
Ch.11 - Liquids, Solids & Intermolecular Forces
Ch.12 - Solutions
Ch.13 - Chemical Kinetics
Ch.14 - Chemical Equilibrium
Ch.15 - Acid and Base Equilibrium
Ch.16 - Aqueous Equilibrium
Ch. 17 - Chemical Thermodynamics
Ch.18 - Electrochemistry
Ch.19 - Nuclear Chemistry
Ch.20 - Organic Chemistry
Ch.22 - Chemistry of the Nonmetals
Ch.23 - Transition Metals and Coordination Compounds

Solution: Consider a fictitious one-dimensional system with one electron. The wave function for the electron, drawn below, is Ψ(x) = sin x from x = 0 to x = 2π..
A graph shows a sine wave, which appears increasing from the origin to a peak, then moving down to cross the X-axis at pi, then reaching a trough before returning to the X-axis at 2-pi.
What is the probability that the electron will be found at x = π? What is such a point in a wave function called?

Solution: Consider a fictitious one-dimensional system with one electron. The wave function for the electron, drawn below, is Ψ(x) = sin x from x = 0 to x = 2π..What is the probability that the electron will be

Problem

Consider a fictitious one-dimensional system with one electron. The wave function for the electron, drawn below, is Ψ(x) = sin x from x = 0 to x = 2π..
A graph shows a sine wave, which appears increasing from the origin to a peak, then moving down to cross the X-axis at pi, then reaching a trough before returning to the X-axis at 2-pi.
What is the probability that the electron will be found at x = π? What is such a point in a wave function called?