Hydrogen Definition and 1000 Threads

Homework Statement Is there a state that has definite non-zero values of E, L^2 and L_xHomework Equations L^2 and L_z commute with the Hamiltonian so we can find eigenfunctions for theseThe Attempt at a Solution I would say that there is a state with simultaneous eigenfunctions of L_x,L_y,L_z...

I've been toying around with an experimental idea for an efficient way to store hydrogen for use in hydrogen fuel cells, but recently I haven't been able to think of much more to add to it. I've thought of using cooling and pressure together to put the hydrogen to a liquid form for more...

Homework Statement The ground energy can be approximated as E_{1}^{(1)}\approx-\frac{4b^2}{a_0^2}E_R Find the largest value of b that would be consistent with the ground-state energy of a hydrogen atom that agrees with the predictions of the Coulomb model to one part in a thousand...

Homework Statement Assume that there is a deviation from Coulomb’s law at very small distances, the Coulomb potential energy between an electron and proton is given by V_{mod}(r)=\begin{cases} -\frac{e^{2}}{4\pi\varepsilon_{0}}\frac{b}{r^{2}} & 0<r\leq b\\...

I googled it and got both answers, "yes" and "no." What I mean is: O-H-S, F-H-S, N-H-S, etc. Ex.'s of "yes": http://www.ncbi.nlm.nih.gov/pubmed/19089987 [PLAIN]http://pubs.rsc.org/en/content/artic.../ce/c0ce00760a[/URL] Ex. of "no": http://www.nature.com/nature/journal.../149218a0.html

Hi I am currently looking for the wavefunction of the bonding orbital of the hydrogen molecule. Does anybody here know how this one might look like? So, since there is no complete analytical solution for the Hydrogen atom Schrödinger equation, I am currently looking for approximations of this...

Binding energy equations can be derived for the main spherical orbitals of hydrogen. If derived correctly, the energies computed by the equations are negative in value, for example, the well known approximate -13.6 eV for hydrogen's spherical ground state. In QED, corrections are added to the...

I would like to explore possibilities of production of really cheap hydrogen by finding a substitute for scrap aluminum in the current hydrogen on-demand known reaction: 2Al + 6H2O -> 2Al(OH)3 + 3H2 (catalyzed by specially treated carbon, carried out at 85 °C.) The above reaction is scalable...

I have a couple of questions about selection rules for the hydrogen atom. When we talk about these rules in an undergraduate context we are usually assuming LS coupling where we ignore spin orbit coupling so orbital and spin angular momentum are essentially independent. Is that correct...

Consider the following. You have an electron of negative charge orbiting a proton of positive charge at some distance R (i.e. a classical hydrogen atom). I understand the hydrogen atom is unstable under classical physics because the accelerating electron loses its kinetic energy as...

Homework Statement • Consider a hydrogen atom in its ground level, placed in a magnetic field of 0.7 T along the z axis. (a) What is the energy difference between the spin-up and spin-down states? (b) An experimenter wants to excite the atom from the lower to the upper state by sending in...

I realize that Palladium has a molecular property to hold immense amounts of hydrogen, but can Palladium also “hold” isotopes of hydrogen.

Though there are other atoms with less electronegativity which can form effective attraction forces,why hydrogen is taken as a speacial case?

Does anyone have a reference for experimental and/or estimated Van der Waals radius for the molecule hydrogen deuteride ? Symbolically, this would be a proton {(p)e-} + {(np)e-} deuterium. I would like to know how closely the two atoms can approach each other to maintain the stable state of a...

Homework Statement Calculate the wavelength of the Lyman-α line (the transition from the 1st excited state to the ground state) for (a) hydrogen atoms and (b) positronium e+e-, and explain the origin of their difference. In the light emitted from a star, a pattern of emission lines is found...

How does one Photon heat one atom of Hydrogen? (One Proton, one Neutron, one Electron. If you'll allow) It looks to me that the solar energy (Photon) is captured by the field(s) between the Proton and the Neutron. It also looks to me that the Proton/Neutron field is complex and may capture...

(PF members Salman2 and ftr have already mentioned this in two threads, but I think it deserves it's own thread :smile:) Hydrogen Atoms under Magnification: Direct Observation of the Nodal Structure of Stark States Abstract: To describe the microscopic properties of matter, quantum...

Is there an experimental verification of the radial probability density for the hydrogen ground state given in the introductory texts. See the following link as an example. Thank you in advance. http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hydrng.html#c1

A stationary hydrogen atom with a mass of 1.67 x10^-27 kg absorbs a photon of light with an energy of 10.2eV.What is the velocity of the hydrogen atom after absorbing the photon? This is my question: Is it true that the atom has no speed since all the energy is completely absorbed at the...

I'm studying the hydrogen atom and have this question. Apparently it can be solved without perturbation theory, however I'm having trouble justifying it. Homework Statement 2. The attempt at a solution Avoiding perturbation theory I simply get: E = E(n) - constant*(mh) where m...

Homework Statement My textbook wrote that haloalkanes are generally insoluble in water.It is because the polar C-X bonds are not polar enough to make the haloalkanes soluble in water. Consider tetrafluoromethane Difference in electronegativity between F and C = 4.0 - 2.5 = 1.5 Difference in...

Typically (in popular literature) the process of photon emission by an excited atom is considered as an instant event. But actually it is quite likely that it is a continuous process. Such processes are usually described by evolutionary differential equations (ODEs or PDEs). Assume that we...

Hello, I want to do an experiment in hydrogen gas H2 (1 bar) and I want to simulate the maximum amount of H+. What is the best way to get the largest fraction of H+ with minimal energy input? Thanks.

I am wondering about acceleration in quantum mechanics. Let's consider spherically symmetric potential V(r). From the Heisenberg equation of motion, one finds the time derivative of the momentum operator \dot{\hat{p}}=\frac{i}{\hbar}\left[\hat{H},\hat{p}\right] = -\nabla V, from which we can...

Homework Statement Hydrogen is in n=2, l=1, and m=0. Wave function is ψ(r,θ,∅)=(1/4(√2pi)ab3/2)(r/ab)(e-r/2ab)(cos(θ) Find <r> for this state. Homework Equations P(r) = 4pir2|R(r)|2 <r> is equal to the integral from 0 to ∞ of P(r)dr The Attempt at a Solution I understand...

It is proposed to use a katharometer to mesaure the amount (about 5%) of oxygen in nitrogen, in the presence of a small amount (0.5%) hydrogen. How constant would the proportion of hydrogen have to be in order to limit errors in measurement of % oxygen to +/- 0.1%? The thermal conductivities...

Do hydrogen atoms have inner and outer electron shells? I saw a diagram somewhere that showed a carbon atom with an inner and outer shell, is this proven? Are these shells magnetic or something else? Do you consider the outside of these shells as the diameter of the atom?

When you solving Sroedinger eq for hydrogen atom you get energy values ##E_n\approx \frac{1}{n^2}##. Why for some value of this energy electron don't leave atom?

Hi, I'm a little confused about how to apply the real spherical harmonics when building a hydrogen wave function. I'm doing a computational project, so I want to work with a wave function which is strictly real, and I'm hoping I can do so by building the orbitals using the real spherical...

Homework Statement The ground state of the hydrogen atom has the wavefunction: \psi (r) = \frac{1}{\sqrt{\pi}} (\frac{1}{a_{0}})^{\frac{3}{2}} e^{-r/a_{0}}, where a_{0} = 0.53Å a) Calculate the probability that an electron will be found inside the nucleus of the hydrogen atom, which is...

If you stuck 1 electron into the inner shell of a hydrogen atom, would the properties change? Thanks all, Joe.

Homework Statement Individual hydrogen atoms have been prepared in the energy state n = 2. However, nothing is known about the remaining quantum numbers. Fine structure and all corrections can be ignored. What is the micro-canonical statistical operator. Homework Equations \hat{\rho_{mc}} =...

Is there an intuitive way of understanding these terms? I understand the mathematics that shows why there are 3 states with proton spins aligned(orthohydrogen) and 1 with spins misaligned. However, when you count them, there are really only 2 states in which the spins are aligned (up-up and...

Intermolecular hydrogen bonding is stronger than intramolecular hydrogen bonding. But how to differentiate between an intermolecular and an intramolecular hydrogen bonding ? How can I know if there is the presence of an intermolecular or an intramolecular hydrogen bonding in a molecule ?

Please see attachment. What are the arrow heads supposed to mean? Only emission is allowed and no absorption? I mean, selection rules allow Δl=±1. But the figure is saying otherwise. I also read in another book, that the only series observed in absorption is that to the ground state, where...

I'm learning about NMR and it's been stated that deuteron has a spin 1 nucleus and so should exhibit different behavior. Why? I've heard of electrons having spin, and now protons, but I don't see why the spin of a neutron should matter since it's uncharged. I'm thinking a spin of 1 means...

Hi there, I've been looking around on the net for some information on how Hydrogen gas is converted to liquid in industry. However, I haven't had too much success. If anyone could help me understand the basic process I would be very grateful. What I currently know is that the Hydrogen...

Atomic Hydrogen gas cloud to Star! what would be different about stars and their formation if interstellar medium only has atomic gas and nothing else? how would it affect stellar interior and energy production? My guess is that since atomic hydrogen is less massive than molecular...

Ok, so I'm a little confused about why <p> = 0 for Hydrogen in the ground state. If someone explain the reasoning behind this, I'd greatly appreciate it. Also, and more importantly, does that mean that <p> = 0 for Hydrogen in other states as well? If not, how would you go about finding <p>...

Homework Statement I'm trying to calculate delta r * delta p for the Hydrogen atom in the 2s stateHomework Equations ψ(r) = (1/ 2√π) (1 / 2a)^(3/2) (2 - (r/a)) e^(-r/2a) where a is the bohr radiusThe Attempt at a Solution I figured out that <r> = 6a, but I'm at a loss as to how to figure out...

Hello all, I have been reading about the hydrogen problem at the Hanford Vitrification Plant site. Hydrogen and/or other flammable gasses are being generated in the double shell vessels. Excerpt below is from ...

Hi, I'm interested in solving the Hydrogen Molecule for a school project (computational physics course) WITH electron interactions included. I'm thinking of calculating the bond length using some kind of variational method, but I'd also like to calculate the energy levels of the two-electron...

Hi guys, a buddy of mine and I are high school students and we are attempting to create a lattice fusion reactor using deuterium heavy water. However, know that there are ways to detect oxygen, carbon, etc... but how would one detect hydrogen or helium? Thanks

This is not a homework question.

We know that hydrogen atom has got one electron.But If we look a hydrogen spectrum there are lots of spectral line. How can that be possible? Because in Bohr's atomic model the spectral lınes mean, electrons energy levels.It shows there is possible energy levels which electrons can...

Homework Statement Two hydrogen atoms, both initially in the ground state, undergo a head-on collision. If both atoms are to be excited to the n = 2 level in this collision, what is the minimum speed each atom can have before the collision? Answer in units of m/s 1 mol of hydrogen is...

Paulis exclusion principle say that two electrons around a nucleus can't have the same quantum number. Does that mean that, say, two hydrogen atoms with electrons with the same spin can't make hydrogen gas? Or does one of the electrons change its spin?

Why does H2Se have a bent shape? It has 6 valence electrons. 2 are used to bond with each of the hydrogens. 2 more up and 2 more down. So the repulsion of the lone pairs cancel off each other. Isn't this arrangement going to make the bond angle 180°?

Hello fellow scientists! I'm confronted to this conundrum: I've been asked to find which substance present in blood is the catalyser of H2O2: -MnO2 -KMnO4 -FeCl3 -Fe(NO3)3 I've thought about it for a long time. However, it is said that MnO2 is a catalyser of H2O2 online. Then, I have seen...

When solving the three dimensional Schrödinger equation, we obtain a probability distribution on θ. But it seems like the procudure produces a particular direction the z-axis. While the Coulomb field is spherical symmetric, it shouldn't exist such a preferred direction. I'm puzzled.