Questions tagged [hydrogen]
It could refer to (1) A hydrogen molecule; two hydrogen atoms bonded together, or (2) A hydrogen atom; one electron electromagnetically interacting with a nucleus made of a single proton. Hydrogen atoms are the simplest atoms, and they are the only atoms for which we can exactly solve the Schrödinger Equation. Hydrogen atoms are the only atoms which could exist even in a world with fine-structure constant $1$.
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Is it possible to turn hydrogen gas into a liquid using a home set up?
I've been wondering this question for a couple months now. I will be totally honest with you I have no practical experience in such fields which I why I now come here to learn. I have recently been ...
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Hydrogen atom's radial wavefunction and Laguerre polynomials
Hi I'm currently trying to derive the expression of the radial wavefunction for the hydrogen atom. I'm currently following the approach in the book by Cohen-Tannoudji et al on quantum mechanics (...
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Azimuthal quantum number in a resonant Stark states picture of Hydrogen atom
Recently while reading Hydrogen Atoms under Magnification: Direct
Observation of the Nodal Structure of Stark States research which tries to map electron densities in quasi-bound Stark states to the ...
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Is the 2013 "photo" of a hydrogen atom with an electron orbiting real?
I recently came across a 2013 image that shows a hydrogen atom with an electron orbiting around the nucleus. The photo looks exactly like the recent atom model.This raises the question: is this image ...
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How close do two fermions need to be for them to behave like a boson?
A system made of an even number of fermions behaves like a boson in terms of quantum statistics. One example for that would be the hydrogen atom consisting of one proton (spin-1/2) and one electron (...
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Why are the principal quantum number $n$, orbital angular momentum quantum number $l$, and magnetic quantum number $m$ so important for hydrogen atom?
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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Nuclear spin degeneracy in Einstein coeffcient (e.g. ortho-/para-hydrogen)?
In general, the Einstein coefficient for sponateneous emission transitions between degenerate levels $n$ and $m$ of degeneracy $d_n$ and $d_m$ is given by
$$
A_{nm}=\frac{64\pi^4\nu_{nm}}{3h}\frac{\...
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Funny looking hydrogen spectrum
I am preparing a physics demonstration for high schoolers. The picture shows the line spectrum I see from a hydrogen (Balmer) lamp through a diffraction grating. The red line and the cyan line are ...
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How to calculate hydrogen concentration profile and equilibrium solubility in a hollow metal cylinder exposed to hydrogen gas?
I'm trying to model hydrogen gas (H₂) ingress into a small cylindrical metal sample with the following dimensions:
Outer diameter (OD): 8 mm
Inner diameter (ID): 3 mm
Length (L): 30 mm OR 5 mm; I don'...
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Correct treatment of singular distributions in a hydrogenic expectation value
I am trying to derive the following expectation value for an arbitrary $S$ state of hydrogen:
$$
\left\langle\vec{p}\frac{1}{r^2}\cdot\vec{p}\right\rangle_{n,0}=
\frac{8}{3n^3}-\frac{2}{3n^5} \ ,
$$
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Why does Weak-field Zeeman effect break all degeneracy in the Hydrogen atom?
My textbook mentions (and the math seems to confirm this) that the weak-field zeeman breaks all degeneracy in the Hydrogen atom (with fine structure corrections included).
I understand that the ...
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$ ( \text{Hydrogen Ground State Energy} ) \times (\text{Age of Oldest Known Star}) = 1 \text{ Js}$ [closed]
While exploring connections between quantum and cosmological scales, I found an exact numerical identity that seems surprisingly physical, not just coincidental.
The ground state energy of the ...
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Hydrogen orbitals from non-conventional coordinate systems (Schrödinger equation)
Summary: The hydrogen atom has a single electron distribution, regardless of which coordinate system is used to solve the Schrödinger equation. Note that the author is plotting the wavefunction after ...
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Calculation of spectra from a priori QFT/QED
I am a beginner at QFT, and I've been looking through the questions on this site (such as this one and this one) but I've not found one that satisfactorily answers the question of how to reproduce the ...
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Can you dissolve hydrogen into liquid metal?
I was thinking about various methods for generating fusion reactions, and came upon a novel thought when I was looking into that one fiasco over electrochemical cold fusion (Dunno why that one sparked ...
