Solution of the Schrödinger wave equation for the hydrogen atom results in a set of functions (orbitals) that describe the behavior of the electron. Each function is characterized by three quantum numbers: n, l, and ml. If the value of n = 1 ... The quantum number l can have values from  to . ... The total number of orbitals possible at the n = 1 energy level is . If the value of l = 2

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter10: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 10.77E: Consider a one-dimensional particle-in-a-box and a three-dimensional particle-in-a-box that have the...
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Solution of the Schrödinger wave equation for the hydrogen atom results in a set of functions (orbitals) that describe the behavior of the electron. Each function is characterized by three quantum numbers: n, l, and ml.


If the value of n = 1
... The quantum number l can have values from  to .
... The total number of orbitals possible at the n = 1 energy level is .


If the value of l = 2
... The quantum number ml can have values from  to .
... The total number of orbitals possible at the l = 2 sublevel is .
 
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