← 🧊 Physics

🧊 Fermi-Dirac Statistics: Why Electrons Refuse to Pile Into the Same State

Occupancy:
Fermi energy:
Drag — rotate · Scroll — zoom

🧊 Fermi-Dirac Statistics: Why Electrons Refuse to Pile Into the Same State

This simulation shows how the Fermi-Dirac occupation probability changes with energy and temperature, from a sharp step at absolute zero to a smoothed S-shaped curve at higher temperatures.

🔬 What It Demonstrates

This simulation shows how the Fermi-Dirac occupation probability changes with energy and temperature, from a sharp step at absolute zero to a smoothed S-shaped curve at higher temperatures.

🎮 How to Use

Adjust the temperature and Fermi energy sliders and watch how the occupation curve reshapes around the Fermi level in real time.

💡 Did You Know?

The Fermi energy of a typical metal corresponds to a temperature of tens of thousands of kelvin, which is why the electrons in a metal at room temperature are still overwhelmingly packed into their zero-temperature arrangement.