Chapter 5, Problem 5.126MP

Interpretation Introduction

(a)

Interpretation:

The number of elements present in the first two rows of the periodic table needs to be determined if the angular momentum quantum number l can have integral values of 0, 1, 2, ……, n+1.

Concept introduction:

A wave function is characterized by three parameters called quantum numbers, represented as n, l and $m_l$, which can describe the energy level of the orbital and the three-dimensional shape of the region in space occupied by a given electron.

Interpretation Introduction

(b)

Interpretation:

The atomic number of the element in the second row and fifth column needs to be determined if the angular momentum quantum number l can have integral values of 0, 1, 2, ……, n+1.

Concept introduction:

To calculate the atomic number of the element present in the second row and in the fifth row, add the number of elements in the first row with five. This will give the atomic number of the particular element.

Interpretation Introduction

(c)

Interpretation:

An orbital-filling diagram for the element with atomic number 12 needs to be determined if the angular momentum quantum number l can have integral values of 0, 1, 2, ……, n+1.

Concept introduction:

A set of three rules called the Aufbau principle guides the filling order of orbitals. They are as follows:

1. First lower energy orbitals are filled followed by the higher-energy orbitals.
2. An orbital can hold only two electrons, which must have opposite spins.
3. It two or more degenerate orbitals are available; one electron goes into each until all are half-full.