Partícula na Caixa 1D
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
E_n = n²h²/(8mL²)
About this calculator
The 1D Particle in a Box calculator is an online tool that helps calculate the energy of a particle confined in a one-dimensional box. It uses the formula E_n = n²h²/(8mL²), where E_n is the energy of the particle, n is the quantum number, h is Planck's constant, m is the mass of the particle, and L is the length of the box.
This calculator is useful for students and researchers of quantum physics who need to calculate the energy of particles in confined systems. It can be used to better understand the behavior of particles in different situations, such as in nanostructures or in quantum confinement systems.
The formula used by the calculator is based on quantum theory and assumes that the particle is confined in a one-dimensional box with rigid walls. This means that the particle cannot escape the box and that its energy is quantized, meaning that only certain energy values are allowed.
It is important to note that the 1D Particle in a Box calculator is a simplification of more complex systems and does not take into account effects such as interaction with the environment or the presence of external fields. However, it is a useful tool for understanding the basic concepts of quantum physics and for making quick and accurate calculations.
Frequently asked questions
What is the formula used by the calculator?
The formula used by the calculator is E_n = n²h²/(8mL²), where E_n is the energy of the particle, n is the quantum number, h is Planck's constant, m is the mass of the particle, and L is the length of the box.
When should I use the 1D Particle in a Box calculator?
You should use the 1D Particle in a Box calculator when you need to calculate the energy of a particle confined in a one-dimensional box, such as in quantum confinement systems or in nanostructures.
Does the calculator take into account interaction with the environment?
No, the 1D Particle in a Box calculator does not take into account interaction with the environment. It assumes that the particle is isolated and confined in a one-dimensional box with rigid walls.
What areas of physics is the calculator useful for?
The 1D Particle in a Box calculator is useful for quantum physics, especially for the quantum theory of confined systems and for the physics of nanostructures.
Can I use the calculator for more complex systems?
No, the 1D Particle in a Box calculator is a simplification of more complex systems and is not suitable for systems with multiple dimensions or complex interactions.