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Question

The donor impurity must have _______ electrons.

The correct answer is

5

Donor Impurity Valence Electrons Explained

In the realm of semiconductor physics, donor impurities play a critical role in modifying the electrical properties of semiconductor materials like Silicon (Si) or Germanium (Ge). These impurities are intentionally added to the semiconductor crystal through a process called doping to create either n-type or p-type materials.

To create an n-type semiconductor, we introduce donor impurities. A donor impurity is an atom that has more valence electrons than the atoms of the host semiconductor crystal. Semiconductor materials like Silicon and Germanium are in Group IV of the periodic table, meaning they have 4 valence electrons each. These 4 valence electrons form covalent bonds with neighboring atoms in the crystal lattice.

Donor impurities are typically elements from Group V of the periodic table. Examples include Phosphorus (P), Arsenic (As), and Antimony (Sb). Atoms from Group V possess 5 valence electrons.

Here's how a donor impurity works:

  • When a Group V atom replaces a Group IV atom in the semiconductor lattice, it tries to form covalent bonds.
  • Four of the donor atom's 5 valence electrons readily form covalent bonds with the surrounding semiconductor atoms.
  • The fifth valence electron is loosely bound to the donor atom. It doesn't fit neatly into the bonding structure.
  • This fifth electron requires minimal energy (much less than the band gap energy) to become detached from the donor atom and move into the conduction band.

An electron that moves into the conduction band becomes a free charge carrier, contributing to electrical current. Since this impurity atom 'donates' an electron, it is termed a donor. The resulting semiconductor, with an excess of free electrons, is known as an n-type semiconductor.

Consequently, a donor impurity must have 5 valence electrons to facilitate the creation of n-type conductivity.

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Important Questions from Extrinsic Fermi Level

  1. In n-type material, majority carriers would be

  2. A Si sample is doped with 1017 Arsenic atoms/cm3. Displacement of EF relative to Ei is ______

  3. In a semiconductor, if the Fermi energy level lies in the conduction band, then the semiconductor is known as

  4. In N-type semi conductor, the majority carriers are______

  5. A Si ingot is doped with 1016 arsenic atoms / cm3. Find its fermi-level from bottom of the conduction band at room temperature (300 K) when effective density of states of silicon are 2.8 x 1019 cm-3, options are :

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