Problem 39 - Chemistry: Principles and Reactions

Question

Give the orbital diagram of (a) \(\mathrm{Li}\) (b) \(\mathrm{P}\) (c) \(\mathrm{F}\) (d) Fe

Step-by-Step Solution

Answer

Question: Draw the orbital diagrams for the elements Li, P, F, and Fe. Answer: Li: 1s: [↑↓] 2s: [↑] P: 1s: [↑↓] 2s: [↑↓] 2p: [↑↓] [↑↓] [↑↓] 3s: [↑↓] 3p: [↑] [↑] [↑] F: 1s: [↑↓] 2s: [↑↓] 2p: [↑↓] [↑↓] [↑] Fe: 1s: [↑↓] 2s: [↑↓] 2p: [↑↓] [↑↓] [↑↓] 3s: [↑↓] 3p: [↑↓] [↑↓] [↑↓] 4s: [↑↓] 3d: [↑] [↑] [↑↓] [↑↓] [↑↓]

Step 1: Determine the electron configuration of Li

Lithium has 3 electrons. Using the aufbau principle, we can determine its electron configuration: \(1s^2 \, 2s^1\).

Step 2: Draw the orbital diagram of Li

The orbital diagram is a graphical representation of electron configuration, where each box represents an orbital and each arrow represents an electron. 1s: [↑↓] 2s: [↑] (b) P (Phosphorus)

Step 1: Determine the electron configuration of P

Phosphorus has 15 electrons. Using the aufbau principle, we can determine its electron configuration: \(1s^2 \, 2s^2 \, 2p^6 \, 3s^2 \, 3p^3\).

Step 2: Draw the orbital diagram of P

1s: [↑↓] 2s: [↑↓] 2p: [↑↓] [↑↓] [↑↓] 3s: [↑↓] 3p: [↑] [↑] [↑] (c) F (Fluorine)

Step 1: Determine the electron configuration of F

Fluorine has 9 electrons. Using the aufbau principle, we can determine its electron configuration: \(1s^2 \, 2s^2 \, 2p^5\).

Step 2: Draw the orbital diagram of F

1s: [↑↓] 2s: [↑↓] 2p: [↑↓] [↑↓] [↑] (d) Fe (Iron)

Step 1: Determine the electron configuration of Fe

Iron has 26 electrons. Using the aufbau principle, we can determine its electron configuration: \(1s^2 \, 2s^2 \, 2p^6 \, 3s^2 \, 3p^6 \, 4s^2 \, 3d^6\).

Step 2: Draw the orbital diagram of Fe

1s: [↑↓] 2s: [↑↓] 2p: [↑↓] [↑↓] [↑↓] 3s: [↑↓] 3p: [↑↓] [↑↓] [↑↓] 4s: [↑↓] 3d: [↑] [↑] [↑↓] [↑↓] [↑↓]

Key Concepts

Electron Configuration

Electron configuration is a way to represent the distribution of electrons around the nucleus of an atom. It shows which orbitals are occupied by electrons in an atom and helps to determine the chemical properties of an element. Electrons are arranged in different energy levels or shells around the nucleus. These shells are further divided into sublevels or orbitals: s, p, d, and f.

The notation of electron configuration uses numbers to indicate energy levels and letters (s, p, d, f) for the type of orbital, followed by superscripts to show the number of electrons in those orbitals. For example, the electron configuration for lithium is written as \(1s^2 \, 2s^1\), meaning two electrons in the 1s subshell and one electron in the 2s subshell. Understanding electron configurations helps chemists predict how elements will interact to form compounds.

Aufbau Principle

The aufbau principle is a rule used to determine the electron configuration of an atom. It states that electrons fill the lowest energy orbitals first before moving to higher energy levels. This principle can be thought of as electrons "building up" the atomic structure by filling up the electron "reservoirs" closest to the nucleus.

This principle is guided by the increasing energy of orbitals ordered as follows: \(1s < 2s < 2p < 3s < 3p < 4s < 3d < 4p < 5s \, ...\). By following this order, we ensure that the electron configuration of an atom reflects the most stable arrangement possible. The aufbau principle is crucial when writing electron configurations for elements as it provides a roadmap for filling the orbitals with electrons.

Phosphorus Orbital Diagram

The orbital diagram for phosphorus provides a visual representation of its electron configuration. Phosphorus has 15 electrons, and its electron configuration is \(1s^2 \, 2s^2 \, 2p^6 \, 3s^2 \, 3p^3\). In orbital diagrams, electrons are represented by arrows and orbitals by boxes. Each box corresponds to an orbital in the atom, and the arrows show the spin of the electrons.

For phosphorus, the orbital diagram looks like this:

• 1s: [↑↓]
• 2s: [↑↓]
• 2p: [↑↓] [↑↓] [↑↓]
• 3s: [↑↓]
• 3p: [↑] [↑] [↑]

In the 3p sublevel, there are three unpaired electrons. This unpaired nature of the electrons is significant because it makes phosphorus reactive and able to form covalent bonds, such as in the case with compounds like phosphine (PH₃).

Fluorine Electron Configuration

Fluorine is element number 9 and has 9 electrons. Its electron configuration, when mapped out using the aufbau principle, is \(1s^2 \, 2s^2 \, 2p^5\). This reflects the arrangement of the electrons into different orbitals around the nucleus.

The arrangement for fluorine is particularly important because it highlights its strong tendency to gain an additional electron to complete the 2p subshell. Completing this subshell stabilizes the atom and gives it a noble gas electron configuration, similar to neon. This high affinity for an electron makes fluorine extremely reactive and allows it to form compounds easily, such as hydrogen fluoride (HF). By understanding this electron configuration, we can predict and explain fluorine's chemistry and behavior.