🔬 Solid State Physics Simulator

Bloch Theorem & Pauli Exclusion Principle

Value: 5.0 Å
Value: 20
Value: 10 eV
Value: 40
Value: 300 K
Points: 50
Band Structure (E-k Diagram)
Periodic Potential & Bloch Wavefunctions
Density of States (DOS)
Energy Level Filling (Pauli Principle)
📊 Real-time Analysis & Measurements
Fermi Energy (EF)
0.00 eV
Band Gap
0.00 eV
Effective Mass (m*)
0.00 m₀
Total Electrons
0
Occupied States
0
Conductivity Type
-

🔍 Bloch Theorem Analysis

Bloch wavefunctions describe electrons in periodic potentials: ψₖ(r) = uₖ(r)·e^(ikr)

The periodic part uₖ(r) has the same periodicity as the lattice.

⚛️ Pauli Exclusion Principle

Each quantum state can hold maximum 2 electrons (spin up & down).

Electrons fill energy levels from lowest to highest (Fermi-Dirac distribution).

📈 System Properties

Crystal structure parameters and calculated band structure properties.