Schottky Defect Concentration Calculator

Calculate Schottky Defect Concentration







Formula

The formula to calculate the Number of Schottky Defects is:

\[ N_S = N \cdot \exp\left(\frac{-Q_s}{2RT}\right) \]

Definition

The Number of Schottky Defects represents the equilibrium number of Schottky defects per cubic meter. The Number of Atomic Sites is the number of atomic sites per cubic meter. The Activation Energy for Schottky Formation is the energy needed for the formation of a Schottky defect. The Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. The Temperature is the degree or intensity of heat present in a substance or object, measured in Kelvin.

Example Calculation

Let's assume the following values:

Using the formula:

\[ N_S = 8 \times 10^{28} \cdot \exp\left(\frac{-4.165661058 \times 10^{-19}}{2 \cdot 8.314 \cdot 85}\right) \approx 8 \times 10^{28} \]

The Number of Schottky Defects is approximately \(8 \times 10^{28}\).

Conversion Chart

Number of Atomic Sites (per Cubic Meter) Activation Energy (Joules) Temperature (Kelvin) Number of Schottky Defects
7.0E+28 4.165661058E-19 85 69,999,999,999,999,999,280,861,413,376.000000000000000
8.0E+28 4.165661058E-19 85 79,999,999,999,999,996,664,957,894,656.000000000000000
9.0E+28 4.165661058E-19 85 89,999,999,999,999,994,049,054,375,936.000000000000000