The Debye Length Calculator allows users to determine the Debye length, an important concept in plasma physics and electrochemistry.

The Debye length represents the distance over which electric fields are screened out in a plasma or electrolytic solution, aiding in understanding the behavior of charged particles.

**Basic Calculator**

In the basic mode, you can calculate the Debye length with the following parameters:

**Permittivity of Free Space**: This is the constant representing the ability of a vacuum to permit electric field lines, measured in farads per meter (F/m).
**Electron Charge**: The charge of an electron, typically measured in coulombs (C).
**Electron Temperature**: Temperature of electrons, measured in kelvin (K).
**Electron Density**: Density of electrons in the material, measured per cubic meter (m³).
**Debye Length**: The calculated Debye length, provided in meters (m).

**Advanced Calculator**

The advanced mode provides an extended calculation, including:

**Total Permittivity (ε)**: The permittivity of the material, which varies by medium and affects electric field distribution.
**Ion Charge (C)**: The charge of ions within the medium.
**Ion Temperature (K)**: The temperature of ions in kelvin.
**Ion Density (m⁻³)**: Number density of ions per cubic meter.
**Ion Debye Length (m)**: The calculated Debye length for ions, giving insight into screening effects.

**How to Use:**

- Select the
**Basic** or **Advanced** Calculator.
- Enter values for the known parameters.
- Leave the field for the desired calculation empty.
- Click
**Calculate** to compute the Debye length, or **Reset** to clear all fields.

### Example Calculations

**Example 1**

Parameter |
Value |

Permittivity of Free Space |
8.85 x 10⁻¹² F/m |

Electron Charge |
1.6 x 10⁻¹⁹ C |

Electron Temperature |
300 K |

Electron Density |
1 x 10¹⁹ m⁻³ |

**Calculated Debye Length (m)** |
2.39 x 10⁻⁶ m |

**Example 2**

Parameter |
Value |

Total Permittivity (ε) |
8.85 x 10⁻¹² F/m |

Ion Charge |
1.6 x 10⁻¹⁹ C |

Ion Temperature |
300 K |

Ion Density |
5 x 10¹⁸ m⁻³ |

**Ion Debye Length (m)** |
3.79 x 10⁻⁶ m |

The Debye Length Calculator offers an efficient way to determine particle screening distances in plasma and electrolytic solutions, providing valuable data for scientific and engineering applications.