The image above represents schottky defect.

To compute for schottky defect, four essential parameters are needed and these parameters are **N, Activation energy (Q _{s}), Boltzmann’s Constant (K)** and

**Temperature (T).**

The formula for calculating schottky defect:

N_{s} = N exp (^{-Qs}/_{2KT})

Where:

Q_{s} = Activation Energy

K = Boltzmann’s Constant

T = Temperature

Let’s solve an example;

Find the schottky defect when the activation energy is 44, N is 22, boltzmann’s constant is 1.38064852E-23 and the temperature is 30.

This implies that;

N = 22

Q_{s} = Activation Energy = 44

K = Boltzmann’s Constant = 1.38054852E-23

T = Temperature = 30

N_{s} = N exp (^{-Qs}/_{2KT})

N_{s} = (22)exp(^{-(44)}/_{2(1.38064852e-23)(30)})

N_{s} = (22)exp(^{(-44)}/_{(8.283891119e-22)})

N_{s} = (22)exp(-5.3115135583771414e+22)

N_{s} = (22)(0)

N_{s} = 0

Therefore, the **schottky defect **is **0.**

**Calculating the N when the Schottky Defect, the Activation Energy, the Boltzmann’s Constant and the Temperature is Given.**

N = ^{Ns} / _{e (-Qs / }_{2KT})

Where;

N_{s} = Schottky Defect

Q_{s} = Activation Energy

K = Boltzmann’s Constant

T = Temperature

Let’s solve an example;

Find the N when the schottky defect is 40, the activation energy is 24, the boltzmann’s constant is 1.38064852E-23 and the temperature is 10.

This implies that;

N_{s} = Schottky Defect = 40

Q_{s} = Activation Energy = 24

K = Boltzmann’s Constant = 1.38064852E-23

T = Temperature = 10

N = ^{Ns} / _{e (-Qs / }_{2KT})

N = ^{40} / _{e (-24 / }_{2 x 1.38064852E-23 x 10})

N = ^{40} / _{e (-24 / }_{2.76129704E+23})

N = ^{40} / _{e (8.691567e-23)}

N = ^{40} / _{8.691567e+23}

N = 4.602e-23

Therefore, the **N **is **4.602e-23.**

Continue reading How to Calculate and Solve for Schottky Defect | Ceramics