The doping of silicon with boron to an atomic concentration...

The doping of silicon with boron to an atomic concentration of $0.0010 \%$ boron atoms vs. silicon atoms increases its conductivity by a factor of $10^{3}$ at room temperature. How many atoms of boron would be needed to dope $11.5 \mathrm{~g}$ of silicon? What mass of boron is this?

Key Concepts

Avogadro's Number

Avogadro's number is the number of atoms or molecules contained in one mole of a substance, approximately 6.022 x 10^23. This constant is used to convert between the number of moles of a substance and the actual number of atoms or molecules, which is critical when determining the quantity of dopants needed from a given percentage concentration.

Mole Concept and Molar Mass

The mole concept is a standard unit in chemistry used to express amounts of a chemical substance. Molar mass relates the mass of a substance to the number of moles, allowing conversion between mass and number of atoms or molecules. This is essential when calculating the total number of host atoms in a given mass of semiconductor and, consequently, the number of dopant atoms required at a particular atomic concentration.

Doping in Semiconductors

Doping is the intentional introduction of impurity atoms into a semiconductor crystal to change its electrical properties. This process is fundamental in creating p-type or n-type semiconductors by adding atoms that either donate or accept electrons, thereby altering the conductivity of the material.

Atomic Percent Concentration

Atomic percent concentration refers to the fraction of atoms of a specific type relative to the total number of atoms, expressed as a percentage. In the context of doping, it quantifies how many dopant atoms are present per host semiconductor atom, providing a measure of the impurity level in the material.

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