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Gallium arsenide, a material used to manufacture laser printers and compact disc players, has a band gap of \(130 \mathrm{~kJ} / \mathrm{mol}\). Is GaAs a metallic conductor, a semiconductor, or an electrical insulator? With what group 4 A element is GaAs isoelectronic? (Isoelectronic substances have the same number of electrons.)

Short Answer

Expert verified
GaAs is a semiconductor and is isoelectronic with germanium (Ge).

Step by step solution

01

Understanding Band Gap

Given that the band gap of Gallium arsenide (GaAs) is 130 kJ/mol, we need to interpret this value to determine the nature of its conductivity. Generally, materials with a band gap less than 2 eV (approximately 193 kJ/mol) are considered semiconductors. Since GaAs has a band gap of 130 kJ/mol, it falls within the range for semiconductors.
02

Definition of Isoelectronicity

An isoelectronic substance shares the same number of electrons as another. To find what element is isoelectronic with GaAs, we need to consider the total number of electrons present in GaAs.
03

Counting Electrons in GaAs

Gallium (Ga) is in Group 13 of the periodic table and has 31 electrons, and arsenic (As) is in Group 15 with 33 electrons. Thus, GaAs has a total of 31 + 33 = 64 electrons.
04

Identifying Isoelectronic Group 4A Element

A Group 4A element with the same number of electrons as GaAs is Germanium (Ge), which has 32 protons and thus 32 electrons per atom. In a simple compound containing two atoms like Si (in SiCl4), this would still result in the compound being isoelectronic with GaAs. However, as a pure element isolectronic with gallium arsenide, Ge in solid state keeps the same electron count through its structure.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Band Gap Energy
Band gap energy is a vital concept when determining the electrical properties of a material. The band gap refers to the energy difference between the valence band, where electrons are bound to atoms, and the conduction band, where electrons are free to move and contribute to electrical conductivity. In simpler terms, it is the energy required for an electron to jump from being immobile to being free and conductive.

Semiconductors, like Gallium Arsenide (GaAs), have a band gap energy that allows them to conduct electricity under certain conditions. Generally, the key measurement is that a band gap between 0.1 and 2 eV points towards semiconductor behavior. For GaAs, the band gap is given as 130 kJ/mol. To convert this into electron volts (eV), we understand that 1 eV is approximately 96 kJ/mol - this results in GaAs having a band gap of around 1.35 eV. Falling within this range, GaAs is rightly classified as a semiconductor.

The semiconducting property makes GaAs suitable for electronic devices such as laser printers and compact disc players. It’s important to remember that smaller band gaps allow materials to be more conductive, typical of semiconductors. Larger band gaps are typical of insulators, which require large energy to allow electron flow.
Isoelectronic Substances and Their Identification
Isoelectronic substances are those that have the same number of electrons even if they consist of different elements. This similarity often gives them comparable chemical and physical properties, which makes understanding isoelectronicity crucial in material science.

To determine an isoelectronic substance with Gallium Arsenide (GaAs), we first calculate its total electron count. Gallium, belonging to Group 13 of the periodic table, contributes 31 electrons. Arsenic, found in Group 15, adds 33 electrons. This results in a total of 64 electrons for GaAs.

A Group 4A element like Germanium (Ge) also exhibits this electronic configuration through its compounds. Germanium has 32 electrons, and when considering a compound structure, it can align to 64 electrons, matching GaAs's configuration. Finding and understanding isoelectronic pairs helps in predicting how these materials behave and can be useful in designing electronic materials.
Properties and Applications of Gallium Arsenide
Gallium Arsenide (GaAs) is a noteworthy material in the realm of semiconductors due to its unique properties and wide array of applications. As a semiconductor, GaAs is distinguished by its high electron mobility, meaning electrons can move more quickly within it than in silicon, another common semiconductor.

GaAs's efficient mobility is beneficial for applications requiring rapid response times or high frequency, which explains its use in laser diodes, solar cells, and LEDs. Its ability to outperform silicon in certain optical and high-speed applications makes it very valuable.

Additionally, GaAs is preferred in certain high-temperature applications because it can better withstand heat without losing its semiconducting abilities. This thermally stable nature ensures GaAs devices maintain reliability under demanding conditions. Understanding GaAs gives insight into why it is such a significant material in electronic components spanning from consumer electronics to critical communications equipment.

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