Problem 29
Page 296
Section: Problems by Topic
Chapter 7: The Quantum-Mechanical Model of the Atom
Given information
Given orbitals are , , and .
Step-by-step explanation
Principal Quantum Number (n): The principal quantum number is an integer that determines the overall size and energy of an orbital. The possible values of n are ,....so on.
Azimuthal or Angular momentum Quantum number (l): It is an integer that determines the shape of the orbital. if the value of l= , it indicates s-orbital. if the value of l= then p-orbital and so on.
Structure of orbital: s- orbital is spherical in shape and it has only one phase.
Structure of orbital: p- orbital is dumbbell in shape and it exhibits in two different shapes. It has one node.
Also, there are three p-orbitals.
The three p orbitals differ only in their orientation and are orthogonal (mutually perpendicular) to one another. The p- orbital on the x-axis is marked as px, in the y-axis as py, and on the z-axis as Pz. They are all perpendicular to each other.
The structures are as follows: