Brus Equation Formula:
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Definition: This calculator computes the emission energy of quantum dots using the Brus equation, which describes the quantum confinement effect.
Purpose: It helps researchers and engineers in nanotechnology determine the optical properties of quantum dots based on their size and material properties.
The calculator uses the Brus equation:
Where:
Explanation: The equation accounts for both the bulk band gap energy and the quantum confinement effects that become significant at nanoscale dimensions.
Details: Accurate calculation of emission energy is crucial for designing quantum dots with specific optical properties for applications in displays, solar cells, and biomedical imaging.
Tips: Enter the band gap energy in Joules, quantum dot radius in meters, and effective masses (default values are for CdSe quantum dots). All values must be > 0.
Q1: What are typical values for effective masses?
A: For CdSe quantum dots: mₑ* ≈ 0.21, mₕ* ≈ 0.81. These vary for different materials.
Q2: How does quantum dot size affect emission energy?
A: Smaller dots have higher emission energies (blue shift) due to stronger quantum confinement.
Q3: Where can I find band gap energy values?
A: Band gap values are material-specific and can be found in semiconductor material databases.
Q4: What units should I use?
A: Use Joules for energy, meters for radius, and dimensionless numbers for effective masses.
Q5: How accurate is this calculation?
A: The Brus equation provides a good first approximation but may need corrections for very small dots or strong confinement.