Free electron density refers to the number of mobile electrons per unit volume in a material. It plays a crucial role in determining a material’s electrical conductivity, magnetic permeability, and plasma formation. In conductors like metals, high free electron density enables efficient electrical flow. Semiconductors have a lower free electron density, allowing controlled current flow, while insulators have negligible free electron density. Understanding free electron density is essential for designing electronic devices, such as transistors, solar cells, and LEDs, where manipulating material properties is critical for achieving desired performance.