Hydrogen Definition and 1000 Threads

Hello! I have the following problem I'm trying to solve: Homework Statement An Hydrogen atom in the state |100> is found between the plates of a capacitor, where the electric field (weak and uniform) is: E(t) = \epsilon e^{-\alpha t / \tau}. Calculate the parameters of the potential...

This question occurred to me as a result of the discussion in the thread https://www.physicsforums.com/threads/brown-dwarf-minimum-mass.919669. Apparently (1) H+H->D+e+ requires a temperature of >10,000,000 K while (2) H+D->3He requires only about 1,000,000 K. I confess that the references for...

I know that the two are different thing, that vdW appears in inert gas crystals and alike while hydrogen bond bonds molecules of water. My question is, how does the potential look for hydrogen bond? For vdWaals we have the two terms proportional to 1/R^6 that describes attraction and 1/R^12...

What requirements must a target of gaseous (at STP) meet to participate as the target in beam-target fusion, besides the obvious requirement that the target be a pure (research grade) sample of the desired target material? If a sufficiently fast (hundreds of KeV for the various hydrogen fusion...

I was reading that one of the successes of the Dirac equation was that it was able to account for the fine structure of some of the differences in the spectrum of the hydrogen atom. But the Dirac equation is about subatomic particles moving at relativistic velocities. But an electron around the...

Kind of the basic question of atomic physics is momentum distribution of single electron of ground state hydrogen atom - especially the power in its high-energy tail (HTMD: high-tail momentum distribution), which should have strong impact especially on various scattering experiments. Fock's 1935...

Homework Statement I am trying to fill in the steps between equations in the derivation of the coordinate representation of the Darwin term of the Dirac Hamiltonian in the Hydrogen Fine Structure section in Shankar's Principles of Quantum Mechanics. $$ H_D=\frac{1}{8 m^2...

I am looking for litterature that derives mathematically the total energy in a ##H_2## molecule by using quantum physics. Anyone knows a book they can recommend. I have seen derivations for helium atom for example: http://farside.ph.utexas.edu/teaching/qmech/Quantum/node128.html I need...

Hi! 1. Homework Statement From the website http://www1.uprh.edu/rbaretti/MomentumspaceIntegration8feb2010.htm we can see the Fourier transform of the ground state hydrogenic wave function : Φ(p) = ∫ ∫ ∫ exp(-i p r) (Z3/π )1/2 exp(-Zr) sin(θ) dθ dφ r² dr (1.1) After intregation...

why are energies of the stationary states negative ??

Homework Statement An electron in a hydrogen atom does not fall to the proton because of quantum motion (which may be accounted for by the Heisenberg uncertainty relation for an electron localized in the volume with size r). This is true because the absolute value of the Coulomb potential...

Why are only certain colors of the emission spectrum in Hydrogen visible?

Homework Statement A hydrogen atom collides with another hydrogen atom at rest. If the electrons in both atoms are in the ground state, what is the minimum kinetic energy of the hydrogen atom such that the hydrogen atom at rest will have its electron in the first excited state after collision...

Hi folks, I am reading "Purcell Electricity and Magnetism" and in the problem 1.77 he says: " Imagine a sphere of radius a filled with negative charge of uniform density, the total charge being equivalent to that of two electrons. Imbed in this jelly of negative charge two protons, and assume...

Homework Statement A hydrogen atom transitions from ni= 5 state down to the ground state. a) What is the energy of photon emitted from the transition of the hydrogen atom? b) What is the ratio of the momentum of the emitted photon to the momentum of an electron which possesses the same kinetic...

can be calculated using the following formula: 1/ λ = R (1/n2f - 1/n2i) Where nf and ni are integers that can have values nf = 1, 2, 3, . . . , ∞ and ni = nf + 1, nf + 2, nf + 3, . . . , ∞. Which of the following sets of integers give the wavelength of a line in the Balmer series? (Note: more...

Does anyone have any experience with the Hydrogen Epoch of Reionization Array project? I'm working on it over the summer, and I'd like to know what its like form someone who has done it.

Hi, I've just gotten started with basic quantum physics in physics class and we've just talked about ionization energy. It is stated that the energy of a hydrogen atom is -13.60eV (or -2.179aJ). I assume this is the potential energy (and that this is the reason the atom has a lower mass than the...

Hello everyone! I have a question about the possible transitions for a hydrogen atom from an excited state back to the ground state. Lets say that a H atom is in the n = 4 excited state, what are the possible transitions back to n = 1? I thought the answer was: 4 -> 3 4 -> 2 4 -> 1 but then I...

I am going through my Quantum textbook, just reviewing the material, i.e. this isn't a homework question. We are solving the radial equation for the Hydrogen Atom, first looking at the asymptotic behavior. My issue is I am completely blanking on how to solve the differential equation...

Homework Statement In the real world, most oscillators are not perfectly harmonic. For a quantum oscillator, this means that the spacing between energy levels is not exactly uniform. The vibration levels of an ##H_2## molecule, for example, are more accurately described by the approximate...

In the virial theorem the numerical value of the average potential energy within a system is exactly twice that of the average kinetic energy. I know the theorem is proved mathematically but to me it seems a coincidence that one value is exactly twice the other value. I find that interesting. I...

I have been preforming experiments to study the diffusion of Hydrogen through Molybdenum. According to Sievert's law diatomic molecules would diffuse as atoms. But according to my experiments I notice that the flux of hydrogen is directly proportional to the pressure of hydrogen and not to the...

I'm doing a computational lab about binding energy and comparing different methods of solvation. What does positive and negative binding energy signify? Half of the places I look say the more positive the binding energy the stronger the interaction between the molecules. Other places say the...

I noticed a previous thread on the above subject in this forum. For several years now, I have used 30% concentration hydrogen peroxide mixed with a few drops of ammonia to very great effect* for dealing with blood stains on cotton fabrics (on sheets—a recurring problem for me) by soaking the...

Homework Statement The negative H− ion is a two-electron system like the He atom. How large is the binding energy of the second electron?Homework Equations For hydrogen-like atoms we can use hydrogen wavefunctions so I did it here. First there is potential to be found and then, multipled...

Homework Statement I am having trouble with part d, where they ask me to prove that the wave function is already normalized The Attempt at a Solution But that clearly doesn't give me 1. I tried to use spherical coordinates since it is in 3D? Not really sure how to proceed. EDIT: I realize...

Homework Statement I have already solved the problem, but I don't really understand why the orbital angular momentum in the z-direction has to be taken to 0 ? Homework EquationsThe Attempt at a Solution Suppose the component of orbital angular momentum in the z-direction is...

The question: What happens to the extra hydrogen when the base pairs combine? For example the formula for Adenine and Thymine are C5H5N5 & C5H6N2O2. So when combined there should be 11 hydrogen, however in the diagrams for A and T when together only show H9. 2 off. Same with G and C...

Homework Statement Suppose there is a deviation from Coulomb's law at very small distances, with the mutual Coulomb potential energy between an electron and a proton being given by: $$V_{mod}(r)= \begin{cases} - \frac {e^2} {4 \pi \varepsilon_0} \frac {b} {r^2} & \text {for } 0 \lt r \leq b \\...

I am familiar with the usual solution of the hydrogen atom using the associated legendre functions and spherical harmonics, but my question is: is it possible to extend the hamiltonian of the hydrogen atom to naturally encompass half integer spin? My guess is that spin only pops in naturally in...

Homework Statement Calculate ##\left< \frac 1 r \right>## and ##\left< \frac 1 {r^2} \right>## and the expectation value and uncertainty of the potential energy of the electron and proton for a hydrogen atom in the given state. The given state is: $$ \psi_{2,1,-1} \left( r,\theta,\phi \right)...

Homework Statement http://i.imgur.com/GQ9Xk6d.png Homework Equations Quantum mechanical model of atomic structure The Attempt at a Solution Why all sets are allowed? H atom only got one e- which only one orbital should be there, isn't it? If there aren't second or more e- , no second...

I'm trying to prove that the wave function of Hydrogen for the fundamental state is normalized: $$ \Psi_{1s}(r)=\frac{1}{\sqrt{\pi a^3}}e^{-\frac{r}{a}} $$ What I tried is this: $$ I= \int_{-\infty}^{\infty} | \Psi^2(x) | dx = 1$$ $$ \int_{-\infty}^{\infty} \frac{1}{\pi...

Homework Statement A beam of neutral hydrogen atoms in their ground state is moving into the plane of the page and passes through a region of a strong inhomogeneous magnetic field that is directed upward in the plane of the page. After the beam passes through this field, in how many beams was...

Mentor note: Two threads got merged, the first nine posts are a mixture of two original threads. http://science.sciencemag.org/content/early/2017/01/25/science.aal1579 The rest is behind a pay wall. From the abstract alone it is somewhat unclear whether or not this metallic hydrogen remains...

Hello everyone! We observe the so-called Lyman-alpha forest in the spectrum of distant quasars and it is said that these multiple absorption lines are due to the presence of intergalactic HI clouds that absorb light at the wavelenght of 1216 A , the Lyman-alpha transition. My question is the...

Homework Statement A Hydrogen atom is interacting with an EM plane wave with vector potential $$\bar A(r,t)=A_0\hat e e^{i(\bar k \cdot \bar r -\omega t)} + c.c.$$ The perurbation to the Hamiltonian can be written considering the proton and electron separately as...

Is there any possibility of getting hydrogen from methane,since it contain 4 hydrogen atom per molecule...

Homework Statement (introduction course of university physics) A 25- L container holds ideal hydrogen (H2) gas at a gauge pressure of 0.25 atm and a temperature of 0°C. What mass of hydrogen gas is in this container? The ATOMIC mass of hydrogen is 1.0 g/mol, the ideal gas constant is R =...

I know hydrogen gas is used in BWR coolant to counteract radiolysis and reduce the probability of localized corrosion. Why can't the same be done for PWR's?

The hydrogen is placed in the external magnetic field: $$ \textbf{B}=\hat{i}B_1 cos(\omega t) + \hat{j} B_2 sin(\omega t) + \hat{k} B_z ,$$ Using the relation ## H = - \frac{e\hbar}{2mc} \mathbf \sigma \cdot \mathbf B ##, then I got the form $$ H = H_0 + H' , $$ where $$ H'= - \frac{e...

Okay ... some "simple" questions (I think): If a single baryonic proton magically appears in a pure vacuum container (which is otherwise completely empty), can that proton be considered a positive Hydrogen ion? Or must a Hydrogen atom lose an electron first (so we just end up with a single...

can H2s form hydrogen bonds i read that H2s can , but I'm not so sure about it .

Im working on a problem regarding a SSME and need to figure out the balanced eq for LH2 and LOx. I thought it was simply.. H2 +0.5O2 > H2O however my professor has confirmed that it is not the case in this situation. I am stumped as to what it could possibly be, maybe excess H2? And am not...

How many orbits are in the hydrogen atom?

Let's say we have a transition from state 2p to 1s of an hydrogen atom's electron. The intensity radiated by the electron is given by I = 4/3 ωfi4 e2/c3 |< f | r | i >|2. If we take the the | 2 1 1 > → | 1 0 0 > transition for example, we must compute the following integral : < f | r | i > =...

I saw another post about this but i didn't quite find what i was looking for there so i thought i'd give it a go instead with a thread. Homework Statement Calculate the exact value of the kinetic energy of the hydrogen atom in its ground state. No more information is given, we are referred to...

As you can see from figure 4.4 from Griffiths book on QM, the radial wave function of the hydrogen atom has clear points where ## |R_{nl} (r)|^2 = 0 ##. My question is three fold: First, how is the electron able to traverse this region? My intuition is that with the uncertainty principle, the...

Hi, I am a physics student and i was asked to answer some questions about Hydrogen atom wavefunctions. I hope you can help me (sorry for my english, is not my motherlanguage, i will try to explain myself properly) 1. In order to find hamiltonian eigenfunctions of Hydrogen atom, we make then be...