Electron Colony Model

README.md: Electron Colony Model

Overview

This simulation demonstrates the Electron Colony Model, a simplified representation of electron behavior in semiconductor materials. Each "colony" represents an atomic site or lattice position containing 9 electrons.

Colony Structure - 3x3 Grid

Each colony follows a strict 9-electron configuration:

• 4 Spin Up Electrons (Red ↑): Paired electrons with magnetic moment aligned up
• 4 Spin Down Electrons (Blue ↓): Paired electrons with magnetic moment aligned down
• 1 Carrier Electron (Yellow ●): The unpaired electron in the center

Physics Principles

1. Spin Pairing: Electrons in the same orbital must have opposite spins per Pauli exclusion principle. The 4 up + 4 down electrons form stable pairs.

2. Pauli Exclusion Principle: No two electrons can occupy the same quantum state. This forces the 9th electron to remain unpaired as a "carrier".

3. Carrier Transport: Only the unpaired carrier electron can move between colonies. When a photon strikes a colony with sufficient energy, it excites the carrier, allowing it to jump to an adjacent colony.

Interaction Model

• Fire Photon: Launches a photon from the edge toward a random colony
• When photon hits a colony, it excites the carrier electron
• Excited carrier becomes mobile and transfers to a neighboring colony
• The receiving colony donates its carrier to maintain the 9-electron rule
• This cascade represents electrical conduction in semiconductors

Real-World Analogy

This models how silicon doping works: pure silicon has 4 valence electrons. When doped with phosphorus (5 valence electrons), the extra electron becomes a free carrier that can conduct electricity when excited by photons or thermal energy.

Controls

Fire Photon: Emit a photon to excite a carrier
Reset: Return all colonies to initial state
Speed: Adjust animation speed from 0.2x to 3x