Complex Representation of an Atomic Orbital

 

Visualization of a complex atomic orbital:






















3D visualization of a complex atomic orbital:









Visualization of the real and imaginary components of a quantum wavefunction over time






What This Animation Represents:

  • The left panel (Blue): Shows how the real part of the orbital oscillates.

  • The right panel (Red): Shows how the imaginary part oscillates.



  • The wavefunction rotates in complex space, meaning its real and imaginary components continuously transform into each other—just like how electric and magnetic fields oscillate in an EM wave



Key Takeaways:

  1. This is analogous to how electromagnetic waves oscillate in phase:

    • The real part can be seen as the "electric field".

    • The imaginary part behaves like the "magnetic field".

  2. This behavior is fundamental in quantum mechanics:

    • Describes electron orbitals in atoms and molecules.

    • Crucial for molecular bonding and spectroscopy.

    • Underlies quantum superposition and entanglement.
















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