In a conductor, the concept of free electrons refers to the presence of electrons that are not tightly bound to individual atoms and are able to move relatively freely throughout the material. Conduction in metals, for example, is largely facilitated by these free electrons.
In a solid material, like a metal, atoms are arranged in a crystalline structure. Each atom has a nucleus composed of positively charged protons and neutrally charged neutrons, and it is surrounded by a cloud of negatively charged electrons. In a stable state, electrons are distributed in energy levels or "shells" around the nucleus.
In some materials, such as metals, the outermost electrons of the atoms are only weakly attracted to their respective nuclei due to the specific arrangement of atoms in the crystal lattice. These outer electrons can be easily excited to higher energy levels, and in some cases, they can even detach from their parent atoms, becoming free to move within the material. This detachment can occur due to thermal energy or the application of an external electric field.
These free electrons contribute to the material's electrical conductivity. When an electric potential difference (voltage) is applied across the conductor, the free electrons experience a force and begin to move in response to the electric field. This movement of electrons constitutes an electric current.
It's important to note that while there are free electrons in a conductor, not all electrons are free to move. The majority of electrons remain bound within atoms and do not participate in the conduction process. The distinction between bound and free electrons is crucial in understanding the behavior of conductors in electrical circuits and various applications.