Carrier density calculator

Calculate the number of charge carriers (electrons or holes) per unit volume in a semiconductor material.

Input Parameters

Calculation Results

Carrier Density Results

Carrier density (cm-3):

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Calculation Formula

Nc = Ninput × 106 (for cm-3)

Nc = Ninput × 1018 (for m-3)

Where:
Nc = Carrier density
Ninput = Input carrier concentration

Carrier density calculator Calculator Usage Guide

Learn how to use the Carrier density calculator and its working principles in semiconductor physics

How to use the calculator

  1. Select the type of carrier (electrons or holes) you want to calculate the density for.
  2. Enter the carrier concentration in cm-3. This is typically provided in semiconductor datasheets or experimental measurements.
  3. Optionally, check the "Convert to m-3" box to view the result in cubic meters per cubic meter, which is commonly used in physics equations.
  4. Click the "Calculate" button to compute the carrier density.
  5. The result will be displayed in both cm-3 and m-3 (if converted).

Understanding Carrier Density

Carrier density (also called charge carrier concentration) is the number of charge carriers (electrons or holes) per unit volume in a semiconductor material. It's an important parameter in semiconductor physics that affects electrical properties like conductivity.

Formula Used

The calculator uses the following relationship:

Nm = Ncm × 106 where Nm is the carrier density in m-3 and Ncm is the carrier density in cm-3.

Applications

Carrier density calculations are essential in:

  • Determining the conductivity of semiconductors
  • Designing electronic devices like transistors and diodes
  • Analyzing semiconductor materials in research
  • Understanding the behavior of charge carriers in different materials