Home
Back
Reduced Mass of Exciton Formula:
| From: | To: |
The Reduced Mass of Exciton is the effective mass of an electron and a hole that are attracted to each other by the Coulomb force, forming a bound state called an exciton. It represents the mass that appears in the quantum mechanical treatment of the exciton system.
The calculator uses the reduced mass formula:
Where:
Explanation: The formula calculates the reduced mass of the electron-hole pair system, which is crucial for understanding exciton behavior in semiconductor physics.
Details: Accurate calculation of reduced mass is essential for determining exciton binding energy, Bohr radius, and other quantum properties in semiconductor materials. It helps in understanding optical properties and carrier dynamics in various semiconductor devices.
Tips: Enter the effective mass of electron and hole as unitless factors (typically between 0.01-10 for most semiconductors). Both values must be positive numbers.
Q1: What is an exciton?
A: An exciton is a bound state of an electron and an electron hole that are attracted to each other by the electrostatic Coulomb force in semiconductors and insulators.
Q2: Why is reduced mass important in exciton physics?
A: The reduced mass determines the exciton's binding energy, Bohr radius, and other quantum mechanical properties that influence optical absorption and emission in semiconductors.
Q3: What are typical values for effective masses?
A: Effective mass values vary by material. For example: GaAs (m_e ≈ 0.067, m_h ≈ 0.45), Silicon (m_e ≈ 0.26, m_h ≈ 0.36), Germanium (m_e ≈ 0.12, m_h ≈ 0.30).
Q4: How does reduced mass affect exciton properties?
A: Larger reduced mass leads to smaller Bohr radius and higher binding energy, making excitons more stable and affecting their optical transition energies.
Q5: Can this calculator be used for all semiconductor materials?
A: Yes, as long as you have the appropriate effective mass values for electrons and holes in the specific semiconductor material.