Problem 74
Question
If you want to dope GaAs to make a p-type semiconductor with an element to replace As, which element(s) would you pick?
Step-by-Step Solution
Verified Answer
Use elements like Germanium (Ge) or Silicon (Si) to dope GaAs and create a p-type semiconductor.
1Step 1: Identify GaAs Composition
GaAs is a compound semiconductor that consists of Gallium (Ga) and Arsenic (As). The goal is to replace As (which is from group 15 of the periodic table) with another element from the same group to create p-type semiconductors.
2Step 2: Understand P-Type Doping
P-type doping involves adding an element that has one less valence electron compared to the element it replaces. Since Arsenic (As) has 5 valence electrons, the dopant should have 4 valence electrons to create a 'hole' (positive charge carrier).
3Step 3: Choose the Appropriate Dopant
From the periodic table, elements with 4 valence electrons that could replace arsenic in GaAs are those from group 14, such as Germanium (Ge) or Silicon (Si). By introducing these elements, which have 4 valence electrons, 'holes' are created as they have one less electron than arsenic's 5 valence electrons.
Key Concepts
GaAs DopingGroup 14 ElementsHoles in Semiconductors
GaAs Doping
Gallium Arsenide (GaAs) is a widely used compound semiconductor material. It is composed of Gallium (Ga) and Arsenic (As). When GaAs is doped, certain impurities are deliberately introduced to modify its electrical properties. To make GaAs into a p-type semiconductor, the As atoms (which are from group 15 of the periodic table) need to be replaced with appropriate dopant elements.
In the case of creating a p-type semiconductor, elements with one less valence electron than arsenic are used. Arsenic typically has 5 valence electrons, so the dopant should ideally have 4 valence electrons. This strategic replacement creates 'holes' or positive charge carriers, which allow for the flow of current.
In the case of creating a p-type semiconductor, elements with one less valence electron than arsenic are used. Arsenic typically has 5 valence electrons, so the dopant should ideally have 4 valence electrons. This strategic replacement creates 'holes' or positive charge carriers, which allow for the flow of current.
- P-type doping enhances the material's ability to conduct electricity through positive charge carriers.
- The dopant should generally come from group 14 of the periodic table, ensuring one less valence electron than arsenic.
Group 14 Elements
Elements in group 14, such as Carbon (C), Silicon (Si), Germanium (Ge), Tin (Sn), and Lead (Pb), have 4 valence electrons. These elements are pivotal in semiconductor technology due to their ability to create 'holes' when doped into materials like GaAs.
Silicon and Germanium are the most commonly used group 14 elements for doping GaAs to form p-type semiconductors. Each of these elements offers unique properties:
Silicon and Germanium are the most commonly used group 14 elements for doping GaAs to form p-type semiconductors. Each of these elements offers unique properties:
- Silicon (Si): While primarily used in silicon-based electronics, it's also a viable dopant for GaAs.
- Germanium (Ge): Historically significant in developing early transistors and still used today in mixed technology applications.
Holes in Semiconductors
In semiconductors, 'holes' are incredibly significant as they enable the creation of positive charge carriers, crucial for current flow. When a group 14 element like Silicon or Germanium replaces Arsenic in GaAs, the result is typically the formation of these holes.
This occurs because the newly introduced element has one fewer valence electron compared to the arsenic atom it replaces. The concept of 'holes' can be understood through these points:
This occurs because the newly introduced element has one fewer valence electron compared to the arsenic atom it replaces. The concept of 'holes' can be understood through these points:
- A 'hole' is where an electron is missing in the atomic structure, allowing for electron movement.
- The presence of holes means there's a positive charge carrier at play, enhancing electrical conductivity.
- In p-type materials, holes outnumber free electrons, inversely to n-type materials where electrons predominate.
Other exercises in this chapter
Problem 71
For each of the following pairs of semiconductors, which one will have the larger band gap: (a) CdS or CdTe, \((\mathbf{b})\) GaN or InP, (c) GaAs or InAs?
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If you want to dope GaAs to make an \(\mathrm{n}\) -type semiconductor with an element to replace Ga, which element(s) would you pick?
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The semiconductor gallium nitride (GaN) has a band gap of \(3.4 \mathrm{eV}\). What wavelength of light would be emitted from an LED made from GaN? What region
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The first LEDs were made from GaAs, which has a band gap of \(1.43 \mathrm{eV}\). What wavelength of light would be emitted from an LED made from GaAs? What reg
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