Frequência plasma (elétrons)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The plasma frequency (electrons) calculator helps determine the natural oscillation frequency of electrons in a plasma, a state of matter composed of ions and free electrons. The formula used is ωp = √(n·e²/(ε₀·me)), where n is electron density, e is elementary charge, ε₀ is vacuum permittivity, and me is electron mass. This calculation is crucial in plasma physics studies, such as plasma diagnostics in labs or nuclear fusion research.
To use the calculator, input values for electron density, electron charge, vacuum permittivity, and electron mass. The result gives the plasma angular frequency, measured in radians per second (rad/s). Parameters should be collected from experiments or theoretical models, ensuring unit compatibility. Common errors include omitting the correct electron density or using ε₀ values outside the vacuum context.
This tool is applied in fields like astrophysics, where plasmas are found in stars and nebulae, and in fusion engineering for designing thermonuclear reactors. It is also used in labs to analyze plasmas created in devices like tokamaks. It's important to note that plasma frequency depends solely on electron properties, ignoring ions, which might limit its application in dense plasmas or those with heavy ions.
Frequently asked questions
What is plasma frequency and why is it important?
Plasma frequency is the natural oscillation frequency of electrons in a plasma. It characterizes plasma properties like stability and response to electromagnetic fields, making it crucial for nuclear fusion research and plasma diagnostics.
What units should each parameter use?
n (electron density) in m⁻³, e (electron charge) in coulombs (C), ε₀ (vacuum permittivity) in F/m, and me (electron mass) in kg. Ensure all units are in the International System (SI) before calculation.
Why does plasma frequency depend only on electrons?
The formula assumes ions are much heavier and stationary. In plasmas with light ions or high densities, adjustments are needed, but electron-based formulas are common approximations under normal conditions.
How is this calculator used in practice?
It's applied in fusion labs for reactor design, astrophysics to analyze stars, and industrial devices generating plasma, such as thin-film deposition processes.
What if electron density is very low?
If n is very low, plasma frequency decreases, and the plasma may become unstable. In such cases, check if other factors like temperature or external fields affect the system.