Are the orbitals circular or spherical or parabolic? Are they 3D?

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Are the orbitals circular or spherical or parabolic?? Are they 3D?

Are the orbitals circular or spherical or parabolic?? Are they 3D?
 
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I assume you mean atomic and/or molecular orbitals?

Different orbitals have different shapes, depending mainly on the angular momentum. For atomic orbitals, "s" orbitals are spherical, while "p" orbitals are shaped as two opposing lobes. See: http://en.wikipedia.org/wiki/Atomic_orbital#Orbitals_table for some images.

It's important to note the difference between orbital and orbit. The latter is a path in space, such as a planet follows around its star. Its position is well-defined at each instance of time. By contrast, quantum particles do not have such well-defined positions. The (squared) magnitude of the orbital gives probabilities for finding the particle at a particular location. If you like, you can imagine the electron in an orbital "smeared out" over the orbital, like a cloud.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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