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Quantum mechanics is a fascinating field that helps us understand the behavior of matter and energy on a microscopic level. One of the most important concepts in quantum mechanics is the idea of atomic orbitals.

An atomic orbital is a mathematical function that describes the probability of finding an electron in a particular location around an atom's nucleus. Each electron in an atom can be described by a unique set of four quantum numbers, which determine its energy level, angular momentum, magnetic moment, and spin.

The shape of each atomic orbital can be accurately depicted using a formula called spherical harmonics, which creates a visual representation of the electron's probable location around the nucleus. These representations are often shown as a series of dots, each representing a probable location of where an electron might be.

The VSEPR (Valence Shell Electron Pair Repulsion) theory, on the other hand, is a model used to predict the geometry of molecules based on the arrangement of electrons in their valence shells. According to this theory, the electrons in a molecule's valence shell repel each other, and their repulsion determines the molecule's shape.

The VSEPR model predicts a range of molecular shapes, including linear, trigonal planar, tetrahedral, trigonal bipyramidal, and octahedral. These shapes can be used to predict a molecule's physical and chemical properties, such as polarity and reactivity.

This app will provide you these fascinating insights about the nature of how atoms and molecules behave in the real world.