Energy Level Calculator

Calculate Quantum Energy States and Transitions

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Atomic Energy Level Calculator

Calculate energy levels and electron configurations for hydrogen-like atoms.

Energy Level: -

Transition Energy Calculator

Calculate energy difference between two quantum states.

Transition Energy: -

Understanding Energy Levels

What are Energy Levels?

Energy levels are the discrete energy states that electrons can occupy in atoms and molecules. These quantized states are a fundamental aspect of quantum mechanics and determine the chemical and physical properties of matter.

Quantum Numbers

Four quantum numbers describe electron states:

  • Principal (n): Energy level
  • Angular (l): Orbital shape
  • Magnetic (m): Orbital orientation
  • Spin (s): Electron spin

Energy Level Structure

Important concepts:

  • Ground state and excited states
  • Shell and subshell structure
  • Electron configuration
  • Aufbau principle
  • Hund's rules
  • Pauli exclusion principle

Applications

Energy levels are important in:

  • Atomic spectroscopy
  • Chemical bonding
  • Laser physics
  • Quantum computing
  • Material science

Essential Energy Level Formulas

Energy Level

En = -13.6 eV × (Z²/n²)

Transition Energy

ΔE = 13.6 eV × Z²(1/n₁² - 1/n₂²)

Orbital Angular Momentum

L = √(l(l+1))ℏ