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Baare meHydrogen eigenstate n5 l3 m1.png
English: Calculated 5f1orbital of an electron's eigenstate in the Coulomb-field of a hydrogen nucleus. An eigenstate is a state which keeps it's shape except for a complex phase when the Hamilton operator is applied, thus being invariant in time while obeying the Schrödinger equation.
Since l=3, this is called a f-orbital. The orbital is aligned around the z-axis, but remains an eigenfunction of H and L² if rotated to any direction.
The depicted rigid body is where the probability density exceeds a certain value. The color shows the complex phase of the wavefunction, where blue means real positive, red means imaginary positive, yellow means real negative and green means imaginary negative. The image is raytraced using modified Phong lighting.
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