Electron Density in a 2s Orbital

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A 2s orbital contains electron density near the nucleus due to its spherical shape and the presence of a radial node. This node creates a region where the probability of finding an electron is zero, but the wave function still allows for electron density in the inner regions. The electron density distribution reflects the balance between attractive forces from the nucleus and the repulsive forces from other electrons. The presence of this density near the nucleus is a fundamental characteristic of atomic orbitals. Understanding this concept is crucial for grasping the behavior of electrons in atoms.
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Why does a 2s orbital have some electron density near the nucleus rather than have all of it outside the node?
 
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Why wouldn't it?
 
I came.across a headline and read some of the article, so I was curious. Scientists discover that gold is a 'reactive metal' by accidentally creating a new material in the lab https://www.earth.com/news/discovery-that-gold-is-reactive-metal-by-creating-gold-hydride-in-lab-experiment/ From SLAC - A SLAC team unexpectedly formed gold hydride in an experiment that could pave the way for studying materials under extreme conditions like those found inside certain planets and stars undergoing...

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