# Questions tagged [orbitals]

An orbital is the mathematical function describing the location and wave-like behaviour of an electron in either an atom ( for atomic orbitals) or in a molecule (molecular orbitals).

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### Why is it easier to throw electrons from a higher energy shell?

From what i understand, as we increase the radius of unlike charges, the potential energy of the system also increases, so electrons in the outer shell live in a higher potential system, i.e more ...
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### Different versions for the Radial Solution of the Hydrogen Atom [closed]

Initially, I'm trying to prove if the following is true $$|\psi_{n00}(r=0)|^2 =\dfrac{1}{\pi n^3a_0^3}$$ I'm looking to solve some calculations made in Introductory Quantum Optics Christopher Gerry ...
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### How did the Aufbau principle come to be? [duplicate]

How did the Aufbau principle come to be? Being that my education on chemistry doesn't go past highschool, i was never sure how the following diagram was conceived: I would like to understand how the ...
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### Which element has the bigger atomic radius Cr or Mn?

In ncert Mn is bigger. In periodic table app, Cr is bigger.
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### Single-particle wavefunction in Slater determinant

The ground state of $N$ non-interacting fermions can be written using a Slater determinant as:  \Phi_{GS}(\textbf{r}_{1}, ..., \textbf{r}_{N}) = \frac{1}{\sqrt{N!}} \begin{vmatrix} \phi_{\mu_{1}}(\...
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### Algorithm to generate cartesian names for real spherical harmonics

Spherical Harmonics are used to describe atomic orbitals. For a physicist the complex spherical harmonics, indexed by $l, m$ with $-l \le m \le l$ are more natural because atomic states with spatial ...
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