Ch.7 - Quantum MechanicsWorksheetSee all chapters
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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: The wave functions for the 1s and 2s orbitals are as follows:1s   ψ = (1/π)1/2 (1/a03/2) exp(–r/a0)2s   ψ = (1/32π)1/2 (1/a03/2 ) (–2r/a0 )exp(–r/a0)where a0 is a constant (a0 = 53 pm) and r is the di

Problem

The wave functions for the 1s and 2s orbitals are as follows:
1s   ψ = (1/π)1/2 (1/a03/2) exp(–r/a0)
2s   ψ = (1/32π)1/2 (1/a03/2 ) (–2r/a0 )exp(–r/a0)
where a0 is a constant (a0 = 53 pm) and r is the distance from the nucleus. Use Microsoft Excel to make a plot of each of these wave functions for values of r ranging from 0 pm to 200 pm. Identify the node in the 2s wave function.