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Physics

Questions tagged [orbitals]

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An orbital is a mathematical function describing an exact or approximated one-electron wavefunction in either an atom ( for atomic orbitals) or in a molecule (molecular orbitals).

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In its original usage, potential energy refers to the increase in a system’s energy when a mass is lifted in a gravitational field.By analogy, the concept also applies to removing an electron from an ...
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In XPS spectra of Silicon we only see $\rm Si$ $2s$ and $\rm Si$ $2p$ peaks. Why no $\rm Si$ $3s$ or $\rm Si$ $3p$ peaks? Silicon has electrons in both the $3s$ and $3p$ orbitals that could be emitted ...
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They commute with each other and are therefore good quantum numbers. Furthermore, the energy is the eigenvalue in the time-independent Schrödinger equation. But are there other reasons I missed?
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Why is the sequence of atomic orbitals (1s, 2s, 2p, 3s, 3p, 4s, 3d, …) the same for all elements, cf. the Aufbau principle, even though different elements have different numbers of electrons?
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I have been researching online about supercontinuum generation, and came across the website of the Ultrafast and Nonlinear Optics Lab at Penn State. The site provides some info about ultrafast optics ...
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So in Griffith's, after doing separation of variables on the angular equation $$ \sin\theta \frac{\partial}{\partial\theta}(\sin\theta \frac{\partial Y}{\partial\theta}) + \frac{\partial^2 Y}{\partial ...
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A hydrogen atom in its ground state is neutral and the electron wave function is spherically symmetric.So although the wave function doesn't represent a charge density it makes sense to me that the ...
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It is a well known fact in the history of quantum mechanics that the standard classical orbital model produced issues, since an accelerating charge would release radiation causing it to lose energy ...
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(Assuming no relativistic effects or electron-electron interactions for this question)First: Am I correct in thinking that Linear Combinations of Atomic Orbitals (LCAOs) are generally good ...
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I was refreshing myself on electron orbitals and quantum numbers. I’m seeing two different looking depictions of some of these orbitals.the second diagram aligns more with what i’m reading on the ...
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When I was analyzing the structure of the atom (i'm new at this), the problem arose in the understanding of the motion of the electron. I realized that the electron cloud is just the probability of ...
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In Bohr’s model of the hydrogen atom, electrons are assumed to orbit the nucleus in circular paths under the Coulomb force. However, under inverse-square law forces (like gravity or electrostatics), ...
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Is there a way to get atom-wise energies from an ab initio calculation like Hartree-Fock?I will describe some ideas we had and would appreciate any critique, corrections, or alternative suggestions....
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In justifying the conclusion of the Stern-Gerlach experiment, Townsends claims:Silver atoms are composed of 47 electrons and a nucleus. Atomic theory tells us the total orbital and total spin ...
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I'm familiar with the fact that the exact electronic ground state of a nonrelativistic multi-electron atom (with $n>1$ electrons) is generically an entangled state $|\Psi\rangle$ in the full, ...

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