Excitation Energy Calculator

Excitation Energy Formula:

\[ E_{exc} = 1.6 \times 10^{-19} \times 13.6 \times \frac{m_{eff}}{[Mass-e]} \times \frac{1}{[Permitivity-silicon]^2} \]

Excitation Energy:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Excitation Energy?

Excitation Energy is the energy required to excite an electron from the valence band into the conduction band in semiconductor materials. It plays a crucial role in understanding electronic properties and behavior of semiconductor devices.

2. How Does the Calculator Work?

The calculator uses the Excitation Energy formula:

\[ E_{exc} = 1.6 \times 10^{-19} \times 13.6 \times \frac{m_{eff}}{[Mass-e]} \times \frac{1}{[Permitivity-silicon]^2} \]

Where:

\( m_{eff} \) — Effective Mass of Electron (kg)
\( [Mass-e] \) — Mass of electron (9.10938356 × 10⁻³¹ kg)
\( [Permitivity-silicon] \) — Permittivity of silicon (11.7)

Explanation: The formula calculates the energy required to excite electrons based on the effective mass of electrons and the permittivity properties of silicon material.

3. Importance of Excitation Energy Calculation

Details: Accurate excitation energy calculation is essential for semiconductor device design, optoelectronic applications, and understanding quantum mechanical properties of materials in solid-state physics.

4. Using the Calculator

Tips: Enter the effective mass of electron in kilograms. The value must be positive and valid for semiconductor materials.

5. Frequently Asked Questions (FAQ)

Q1: What is effective mass of electron?
A: Effective Mass of Electron is a concept used in solid-state physics to describe the behavior of electrons in a crystal lattice or semiconductor material, accounting for periodic potential effects.

Q2: Why is silicon permittivity used in this formula?
A: Silicon is a fundamental semiconductor material, and its permittivity value (11.7) represents the material's ability to permit electric field lines, affecting electron excitation energy.

Q3: What are typical values for effective mass in semiconductors?
A: Effective mass values vary by material but typically range from 0.01 to 2 times the free electron mass (9.11 × 10⁻³¹ kg).

Q4: Can this formula be used for other semiconductor materials?
A: While derived for silicon, the formula can be adapted for other materials by substituting the appropriate permittivity value.

Q5: What practical applications use excitation energy calculations?
A: Solar cells, photodetectors, LEDs, and other optoelectronic devices rely on accurate excitation energy calculations for optimal performance.