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Explain why silicon doped with gallium has a higher electrical conductivity than pure silicon.

Short Answer

Expert verified
Gallium introduces holes in silicon, increasing charge carriers and electrical conductivity.

Step by step solution

01

Understanding Pure Silicon

Pure silicon is a semiconductor material with a crystalline structure where each silicon atom forms covalent bonds with four neighboring silicon atoms, creating a stable, tetrahedral lattice. This ideal structure means that there are minimal free charge carriers (electrons or holes) available to conduct electricity, resulting in low electrical conductivity.
02

Doping Silicon with Gallium

Doping refers to the introduction of impurity atoms into the crystal lattice of a semiconductor. In this case, the impurity atom is gallium (Ga), which has three valence electrons compared to silicon's four valence electrons. When gallium atoms replace some silicon atoms in the lattice, they form only three covalent bonds with neighboring silicon atoms. This leaves one bond site vacant or creates a 'hole.'
03

Creation of Holes

The presence of gallium introduces 'holes' into the silicon lattice. A 'hole' is essentially an absence of an electron in the lattice, which can act as a positive charge carrier. When an electron from a neighboring bond moves to fill the hole, it leaves behind another hole. This movement of electrons and holes contributes to electrical charge transport.
04

Increased Electrical Conductivity

The introduction of holes via gallium doping increases the number of available charge carriers in the silicon lattice. These holes enhance the material’s ability to conduct electrical current by allowing charge to flow more easily through the semiconductor. Thus, silicon doped with gallium has a higher electrical conductivity than pure silicon due to the increased carrier concentration that facilitates charge movement.

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Key Concepts

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

Silicon
Silicon is a foundational element in the semiconductor world. It is the second most abundant element on Earth and is known for its unique properties that make it ideal for electronic applications. In its pure form, silicon has a crystalline structure where each atom is bonded to four other silicon atoms. These atoms form a strong, stable structure akin to a three-dimensional lattice.

Each silicon atom shares its four outer electrons with its neighboring atoms, creating covalent bonds that complete the valence shell. Because these bonds are quite strong, there are very few free electrons or 'holes' available for conducting electricity. This makes pure silicon a poor conductor of electricity, thus requiring modification for practical electrical applications.
  • Crystalline structure contributes to stability
  • Covalent bonds limit free charge carriers
  • Low conductivity in pure state
Electrical Conductivity
Electrical conductivity is the measure of a material's ability to allow the flow of an electric current. It depends heavily on the availability and mobility of charge carriers within the material. In pure silicon, this is quite limited due to the lack of free electrons or 'holes.'

Conductivity is essential for creating useful electronic devices. For a semiconductor like silicon, enhancing its conductivity is critical for it to function effectively in circuits and electronic systems.
  • Dependent on charge carrier availability
  • Influenced by material's structure
  • Critical for electronic device functionality
Gallium Doping
Doping is a crucial process in semiconductor engineering. It involves introducing impurity atoms into the silicon lattice to enhance its electrical properties. Gallium is a popular dopant used in silicon doping. It has three valence electrons, whereas silicon has four. When gallium atoms are incorporated into the silicon structure, they disrupt the perfect covalent bonding scheme.

Each gallium atom allows for the creation of a 'hole,' which is a gap left by a missing electron in a bond. These holes act as positive charge carriers, enhancing the semiconductor's conductivity.
  • Gallium has fewer valence electrons
  • Creates holes as charge carriers
  • Enhances electrical properties
Charge Carriers
Charge carriers are vital for the conduction of electricity in materials. In semiconductors, there are two main types of charge carriers: electrons and holes. Electrons carry negative charges, while holes are considered positive carriers due to their electron deficiency.

In doped silicon, particularly with gallium, the number of holes significantly increases. When these holes are introduced, they allow electrons from one bond to "hop" and fill these vacant spots, creating a mobile flow of charge. This mobility of electrons filling holes, and the subsequent creation of new holes, is what facilitates electrical conductivity in doped silicon.
  • Essential for electrical conduction
  • Electrons are negative charge carriers
  • Holes act as positive charge carriers

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Most popular questions from this chapter

In a blast furnace, some of the \(\mathrm{CaSO}_{4}\) impurity in iron ore is reduced by carbon, yielding elemental sulfur and carbon monoxide. The sulfur is subsequently oxidized in the basic oxygen process, and the product reacts with \(\mathrm{CaO}\) to give a molten slag. Write balanced equations for the reactions.

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