Questions tagged [hydrogen]

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 Schrodinger Equation. Hydrogen atoms are the only atoms which could exist even n a world with fine - structure constant 1.

Filter by
Sorted by
Tagged with
2
votes
1answer
40 views

Ground state of hydrogen molecule using Heitler–London method (H-L)

I am reading The Theory of Magnetism I, by Mattis. In Chapter 2, a hydrogen molecule is studied in the following way: We have a Hamiltonian of a hydrogen molecule: $$H = H^0_1 + H^0_2 + H^\lambda \...
4
votes
3answers
109 views

Why must energy transitions in hydrogen atom be between stationary states?

In Griffiths QM textbook, he said that a hydrogen atom in the ground state may undergo a transition to some other stationary state by absorbing a photon. Why must this transition be to another ...
0
votes
1answer
22 views

Peak function decision

I am doing a lab of locating hydrogen's spectral lines and peak function fitting is required. It is suggested to use Lorentzian to locate the peaks. I wonder why don't we use Gaussian instead?
0
votes
1answer
27 views

Does the proportion of strong nuclear force in a star change during nuclear fusion?

I read that the SNF accounts for 99.9% of the mass of an atom. So if 4 hydrogen atoms become 1 helium atom during nuclear fusion does that change the proportion of SNF as we have 4 SNFs becoming 1 ...
3
votes
0answers
24 views

What causes a double peak for a single wavelength when using an optical spectrometer system?

I am doing an experiment to determine the Rydberg constant for the Balmer series using an optical spectrometer system (consisting of a monochromator with a photomultiplier detector and pulse counting ...
1
vote
1answer
55 views

Guessing eigenvalue solution

I am reading The Theory of Magnetism I, by Mattis. In Chapter 2, he proposes the following eigenproblem: $$ \left ( \begin{matrix} V & U \\ U^\dagger& V \end{matrix} \right ) \left ( \begin{...
2
votes
1answer
67 views

Why does the Bohr model give the correct energy levels for hydrogen even though it assumes a circular orbit?

I've been reading the answers for this question: Why did the Bohr Model Successfully calculate some of the energy levels in hydrogen? but it hasn't really satisfied my curiosity. Some answers suggest ...
1
vote
4answers
70 views

Zero Angular momentum at a Non-Zero distance in Quantum Mechanics

In Bohr atomic theory We learn that only those orbits are possible for which angular momentum is intger multiple of $h$.ie. $$mvr=\frac{nh}{2\pi}$$ Here n is used for angular quantum number,That can ...
0
votes
2answers
71 views

Bohr's hydrogen model confusion

As per Bohr model for hydrogen atom,energy of $n^{th}$ electron orbital is given by $\dfrac{-13.6}{n^2}$ eV. Energy of electron in the first orbit will be $-13.6$ eV and in second orbit will be $-3.4$...
2
votes
1answer
36 views

Quantitative contribution of kinetic and potential energies to the binding energy of the $\sigma$ orbital in $\text{H}_2$ or $\text{H}_2^+$

When a hydrogen molecule forms, 4.52 eV of energy is released, while for $\text{H}_2^+$ the binding energy is 2.77 eV. Such a binding energy is the difference of energies that have four terms in them: ...
1
vote
1answer
32 views

How can hydrogen spectrum be monomode (focusing on the lowest emission band)?

Consider you have an hydrogen atom. This atom can emit light under spontaneous emission for example, but the light it will emit will only be at some very specific frequencies: https://en.wikipedia.org/...
-3
votes
1answer
45 views

Wavefunctions of the electron in a hydrogen atom [closed]

Can someone please explain those different electron distributions and what those (2,0,0), (3,0,0), etc. mean. Image source: https://commons.wikimedia.org/wiki/File:Hydrogen_Density_Plots.png
1
vote
2answers
58 views

Do emission and absorption lines complete each other

If you look at the spectral lines of hydrogen, the emission lines seem to be in the exact same spot where the absorption spectrum is black. Together, they build a full spectrum of visible light. Does ...
0
votes
1answer
49 views

Hydrogen atom ionization energy and infinity

We know that the ionization energy of hydrogen atom is 13.6 eV. What bothers is this energy corresponds to infinite seperation between the electron and proton. If we assume that this is true then in ...
17
votes
2answers
1k views

Measuring the size of the proton from the hydrogen atom spectrum?

I was reading that besides measuring the angle of ricocheted electrons bouncing off the proton to pin down its size, it is also possible to excite the electron and then measure the frequency of the ...
-1
votes
1answer
55 views

Hydrogen wave function and angular momentum operators [closed]

I'm working my way through an old exam assignment for my Introduction to Quantum mechanics and a few (parts of) questions have me a little confused. The assignment is about the hydrogen atom and its ...
2
votes
2answers
61 views

Is hydrogen produced in the universe? [duplicate]

Since stars use hydrogen initially for fusion which then produces heavier elements. Where does all this hydrogen come from? Does all the hydrogen come from the birth of universe? If yes then will new ...
2
votes
2answers
205 views

Is it a typo in David Tong's derivation of spin-orbit interaction?

A few lines below equation 7.8 D. Tong writes The final fact is the Lorentz transformation of the electric field: as electron moving with velocity $\vec{v}$ in an electric field E will experience a ...
0
votes
2answers
74 views

Why is the energy eigenstate of hydrogen atoms $\lvert n\ell ms \rangle$?

When solving the Hydrogen Atom using the Schrödinger's equation, we find the wave function represented in the position bases, and it turns out that the wave function has parameters $n$, $\ell$, $m$, ...
3
votes
1answer
89 views

Hydrogen atom from the perspective of the old quantum theory

I am trying to understand the old quantum theory's description of the Hydrogen atom. So far, I have read a physics stack exchange post about Sommerfeld's approach to quantization (Deriving the Old ...
0
votes
0answers
28 views

How to compute spectral lines from NIST term data?

We know, that Hydrogen has line of 21cm in space. How can we (and can we) find the energy levels, producing these lines in NIST energy levels database? Other example. We know that Nd:YAG laser emits ...
0
votes
1answer
41 views

Symmetry on Bohr's Hydrogen Atom

I was studying the applications of the Schröedinger wave function in the Bohr's atom. For what I understood, the $\psi$ should only depend on r and not on $\theta$ and $\phi$. Does that mean that $\...
1
vote
1answer
71 views

Feynman-Hellmann theorem problem in Griffiths - somewhat inaccurate?

Problem 6.33 in Griffiths (typing out only the relevant parts) is stated as follows: The Feynman-Hellmann theorem can be used to determine the expectation values of $1/r$ and $1/r^2$ for hydrogen. ...
-1
votes
2answers
91 views

Coulombic potential energy of Hydrogen $1s$ orbital? [closed]

Given that $\langle \psi_{1s}|\hat H|\psi_{1s}\rangle=\langle \psi_{1s}|\hat K+\hat V|\psi_{1s}\rangle=-13.6$eV, does any one know the exact value of $\langle \psi_{1s}|\hat V|\psi_{1s}\rangle$? I ...
0
votes
1answer
29 views

Can another element “burn” at the same rate as hydrogen does in our sun?

From what I understand our sun doesn't actually "burn", instead a nuclear reaction is taking place, which is the cause of heat, light and a electromagnetic radiation. I believe this is called Hydrogen ...
0
votes
3answers
135 views

Energy levels of hydrogen as $n$ goes to infinity

As you increase the energy level of a hydrogen atom $n \rightarrow \infty$ I have learned that the energy of that energy level changes according to $$ E_n =- \frac{13.6 {\rm eV}}{n^2},$$ and that ...
0
votes
1answer
52 views

What's the most general approach to Zeeman effect?

I have a question regarding the Zeeman effect and perturbation theory in the hydrogen atom. We have hamiltonian of the hydrogen atom is given by $H_0$, that of spin-orbit coupling given by $H_{\text{...
0
votes
1answer
69 views

Formula for the sequence of hydrogen orbital quantum numbers [closed]

My previous question had a poor reception because somebody thought my question was not about physics. Therefore, I repost the question in a less mathematically precise way, such that it is about ...
14
votes
3answers
2k views

Why do electrons tend to be in energy eigenstates?

An oft cited problem with the planetary model of hydrogen is that, if the electron were in fact classically orbiting the proton, then it would radiate away all of its energy and fall into the nucleus. ...
7
votes
3answers
1k views

Electric field due to a hydrogen atom

Electric field due to two opposite charges According to the answers in the previous questions, if you separate the two charges from each other, they will produce a non-zero electric field ...
0
votes
1answer
35 views

Can liquid hydrogen be ionized?

Does stripping the electrons off of hydrogen atoms affect it's boiling point in any way?
1
vote
1answer
33 views

Cold fusion with ionized hydrogen and neutron radiation

Would bombarding ionized hydrogen gas with neutron radiation cause cold fusion as the neutrons have no electrostatic repulsion to overcome therefore making it much easier to get within range of the ...
2
votes
1answer
50 views

Does linear momentum of a hydrogen atom-system remain constant during electronic transitions?

When electronic transitions(excited to ground) take place in a hydrogen atom, does the linear momentum of proton-electron system remain constant?
2
votes
3answers
85 views

How does an electron in the same shell of an atom have same energy despite of having different magnitudes of orbital angular momentum?

For example, consider the $n=2$ shell. This will have $l=0,1$ values, so correspondingly there are 2 angular momentum states having magnitude $0$ and $\sqrt{2}\frac{h}{2\pi}$. So how do these 2 ...
0
votes
1answer
144 views

Bohr Radius of Uniformly Accelerating Hydrogen Atom

Suppose we have a rocket-ship that is uniformly accelerating along its bow-stern axis (connecting line). Also, assume we have a hydrogen atom in the rocket. Mathematically (theoretically), does ...
3
votes
2answers
188 views

How to find the electrostatic potential of a hydrogen-like charge density?

I've been trying to find the scalar potential that would correspond to the charge density of a ground state hydrogen atom. The result is known, and the inverse of my problem can be found e.g. in ...
3
votes
1answer
97 views

Eigenspaces of the hydrogen atom as representations of $SO(3)$

When we computing the discrete spectrum of the hamiltonian of the hydrogen atom $$H=\Big(-\frac{\hbar^2}{2m} \Delta - \frac{e^2}{r} \large),$$ by some explicit computation we get that eigenspace $...
1
vote
0answers
43 views

Does hydrogen gas laser exist? If not, why?

I have searched the internet, and this forum, but can't find a mention of hydrogen gas laser. There does, however, exist the hydrogen maser that used the 21cm radiation. Also there exist Nitrogen gas ...
3
votes
0answers
98 views

Black hole nucleus in hydrogen

The hydrogen atom gets the spectrum it has because you analyze the Schrodinger equation in spherical symmetry with the potential given by $V=-\frac{1}{4\pi\epsilon_0}\frac{e^2}{r}$. Yet the same ...
0
votes
1answer
91 views

How can i obtain the correction to the eigenvalues as a result of adding the gravitational potential to the hydrogenlike atom?

In treating the hydrogen-like atoms, we normally neglect the gravitational potential for the system. I am able to justify the above statement by comparing the gravitational potential to the ...
8
votes
0answers
103 views

How can we deduce that a hydrogen atom is stable in relativistic QED?

Consider relativistic quantum electrodynamics (QED) with three quantum fields: the electromagnetic field $A_\mu$, one fermion field $\psi$ for electrons/positrons, and one fermion field $\psi'$ for ...
2
votes
1answer
84 views

Interpretation of 21 cm intensity mapping

I'm currently trying to understand the following plot from Astrophysics for physicists by A.R. Choudhuri. I think I understand the basic concept of measuring the line-of-sight velocities with the ...
6
votes
3answers
227 views

Reasons for problematic behaviour of hydrogen atom states with azimuthal quantum number $\ell=0$

I have been reading "Introduction to Quantum Mechanics by David J. Griffiths" and in the chapter 6- Time-Independent Perturbation theory, when we are explaining the fine structure via relativistic ...
3
votes
1answer
85 views

What are estimated magnetic properties of liquid metallic hydrogen?

I understand that liquid metallic hydrogen isn't easy to produce, or keep it stable on Earth, but can be liquid metallic hydrogen magnetised? Does it have magnetic properties at all?
1
vote
0answers
67 views

Can a hydrogen atom temporarily attract an additional electron to form a negative ion?

Negative ions should be a kind of temporary substance form that exists widely. Can a hydrogen atom temporarily attract an additional electron to form a negative ion? Other elements or molecules can. I ...
1
vote
0answers
50 views

Has man ever observed the spectrum of a single hydrogen atom?

Were there this kind of experiment done before? The spectrum we observed is radiated by huge number of hydrogen atoms in the gas, not by single hydrogen atom. I know it's very hard to test a single ...
1
vote
0answers
52 views

Are parahydrogen and orthohydrogen identical particles?

I have no formal physics background, just aerospace engineering, and I'm working on a DSMC project simulating relaxation of hydrogen in non-equilibrium, rarefied, 1D flow via translational and ...
0
votes
0answers
39 views

Dependence of radial probability function on quantum numbers

I was reading the book "Quantum Physics" from Eisberg & Resnick about the expected value of the electron radial coordinate, which it defines as \begin{align} \overline{r_{nl}} = \int_{0}^{\infty}...
1
vote
1answer
57 views

Recombination of hydrogen

Suppose a slow-moving electron and a slow-moving proton are injected into a chamber, such that the two approach each other and are likely to combine to form an atom of hydrogen. How would one ...
0
votes
1answer
80 views

Where can I find relativistic corrections to 2s and 2p levels of Hydrogen Atoms?

I am currently studying for a Quantum Mechanics test, and I want to calculate the 2p and 2s hydrogen atom corrections for the relativistic, spin-orbit and darwin corrections, using perturbation theory....

1
2 3 4 5
10