Hydrogen Definition and 1000 Threads

  1. P

    Average momentum squared of Psi(100) of hydrogen atom

    Homework Statement Calculate <p2> for ψ100 of the hydrogen atom Homework Equations ψ100 = 1/(√pi) (1/a0)3/2 e-r/a0 0∫∞ r n e-B rdr = n!/Bn+1 p2 = -hbar ∇2 = -hbar2 (r2 d2/dr2 +2 r d/dr) (ψ does not depend on ø or θ) The Attempt at a Solution<p2> = ∫ψ*(p2ψ)dV ∫dV = 4pi0∫∞r2dr <p2> =...
  2. Entanglement

    Emission spectrum lines of hydrogen

    I was told at school that when a hydrogen electron gains heat energy enough to excite it shifts to a higher energy level, then after a very small period it falls back to its ground energy level, that means all the energy it gains should be lost, but if that is true since hydrogen has an electron...
  3. T

    Which gas has the highest flame temperature - hydrogen or carbon

    which gas has the highest flame temperature .hydrogen or carbon...and why
  4. S

    Hydrogen atom emitting a photon

    Homework Statement Consider the following. (a) For a hydrogen atom making a transition from the n = 4 state to the n = 3 state, determine the wavelength of the photon created in the process. (Already solved this, 1.86x10^3 nm) (b) Assuming that the atom was initially at rest...
  5. T

    Bohr Model of the Hydrogen atom: Prove that Eo = 13.6 eV

    Homework Statement Verify that the equation of the ground state energy Eo of the Bohr atom: Eo= (2pi2e4mek2)/h2 simplifies to Eo = 13.6 eV. Show clearly how the units of the different quantities in the equation simplify to the eV. This is all they give. Nothing more...
  6. A

    How Many Ionizable Hydrogen Atoms Are in Phosphorus Acid H3PO3?

    Homework Statement What are the number of ionizable hydrogen atoms in phosphorus acid H3PO3? Homework Equations - The Attempt at a Solution I didn't even know what "ionizable " means. ( This is not a homework questions, I'm solving sample questions for an entrance exam) . So I searched the...
  7. xortdsc

    Are two electrons in an hydrogen orbital positionally dependent ?

    Hi, I was wondering if 2 electrons in an 1s-orbital of a hydrogen anion (or alternatively neutral helium) are positionally dependent. By that I mean if some knowledge about one electron's position would somewhat give knowledge about the other ? Or is it completely nonsense to talk about...
  8. F

    Electrons bombard gaseous hydrogen - photon energies emitted?

    Homework Statement A beam of 13.0 eV electrons is used to bombard gaseous hydrogen in ground state. What photon energies will be emitted?Homework Equations ΔE = -13.6 (\frac{1}{n^{2}_{f}} - \frac{1}{n^{2}_{i}}) However hydrogen is in the ground state therefore n_i= 1: ΔE = -13.6...
  9. N

    Hydrogen Gas Transparency With Visible Light

    I'm reading my physics text, Matters and Interactions, and there is an example about why Hydrogen gas is transparent in visible light. It says it is transparent because visible light has energies from 1.8 to 3.1eV, and in order to move a Hydrogen atom from ground state to the first excited...
  10. B

    Understanding Hydrogen Fine Structure Validity and Field Discrepancies

    Homework Statement This is not homework, I am trying learn fine structure. This site is reliable : http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html, can you tell me if the content of "hydrogen fine structure" is still valid or dated?. Even if it were classical oudated model, I'd like to...
  11. B

    Hydrogen Atom Size and Magnetic Field Data: Understanding the Basics

    Can someone give me a link where I can find data on the size of an H atom (free and in main compounds like water)? If there is none can you tell me roughly the range of sizes or at least what is the ratio between a free atom and a bound atom. I know that for a free atom the radius is not the...
  12. S

    What Angle Will a Hydrogen Spectral Line Appear in 2nd Order?

    Homework Statement Hello, I have a question regarding hydrogen spectral emission. A hydrogen source is viewed with a grating spectrometer, one spectral lines occurs at 20.5 degrees in the 1st order. What angle will this line appear in 2nd order (viewed through same spectrometer) a)...
  13. U

    Hydrogen probability distribution

    I have found that: For l = 1: \sum_{m=-l}^l |Y_l^m|^2 = \frac{3}{4\pi} For l = 2: \sum_{m=-l}^l |Y_l^m|^2 = \frac{5}{4\pi} What significance does this have for the probability distribution in an hydrogen atom?
  14. andrewkirk

    Asymptotic properties of Hydrogen atom wave function

    I am working through an explanation of the wave function of the Hydrogen atom. I have got as far as deriving the version of Schrodinger's equation for the one-dimensional problem in which only the radial coordinate can vary: ##[-\frac{\hbar^2}{2m}\frac{\partial^2}{\partial^2...
  15. U

    Finding Hydrogen eigenfunction u(2,0)

    Taken from Physics of Quantum Mechanics, by James Binney. I try to calculate ##u_{n}^{l=n-2}##, something goes wrong: Starting, we define operator A by: A_{n-2} = \frac{a_0}{\sqrt 2}\left(\frac{i}{\hbar}p_r + \frac{1-n}{r} + \frac{Z}{(n-1)a_0}\right) Substituting ##p_r = -i\hbar...
  16. S

    Hydrogen atom: potential well and orbit radii

    Hello, I happened to open up an old book by Sah, and in it he says: "it is evident that the electron orbit radius is half the well radius at the energy level E_n" The orbit radius is r_n=\frac{4*\pi*ε_0*\hbar^2*n^2}{mq^2} and the potential well...
  17. X

    Time Evolution of Hydrogen Atom in a Magnetic Field

    Homework Statement A hydrogen atom is prepared in its ground state with spin up along the z-direction. At time t = 0 a constant magnetic field ##\vec{B}## (pointing in an arbitrary direction determined by ##\theta## and ##\phi##) is turned on. Neglecting the fine structure and terms...
  18. K

    How Do You Create Hydrogen Plasma?

    Hallo Physics Forum i was woundering how to make hydrogen plasma, i think i cloud be done simple by applying voltage though the gas, though i don't know how much voltage i whould need or is there a better way of duing it ?
  19. S

    Oscillating System Composed of Two Hydrogen Atoms

    Assume a system of two hydrogen atoms. No other matter exists inside or outside of the system. Initial condition is one H with an electron in the n=2 state. That state decays to ground and emits EM that is absorbed by the electron on the second H. Repeat forever (maybe). Some questions...
  20. C

    Could hydrogen rigid air-ships return?

    Yes, I know the fate Hindenburg. However, as far as I can find: So it seems that contemporary materials are a bit more advanced. So could such ships return for for example for transporting heavy weights in places where road transport is inconvenient (like: far north; dragging wind...
  21. L

    Saha Equation: Unravelling the Mystery of Hydrogen Ionization in Sun's Core

    In the picture, I have the question and the Saha Equation. I have all the correct answers for all the variables and constants on the right side of the equation, and I've done the calculation twice, and I'm getting an answer of 1.56x10-28 That is equal to the left side, which is NII/(NI+NII). NII...
  22. L

    Stability of the Classical Rutherford Atom: A Hydrogen Example

    I know there are other things that fail about the rutherford atom but as the electron is accelerating and radiating away energy it would fall into the nucleus, my question is how much energy would the electron need to gain so that the classical atom could be stable a hydrogen atom for example
  23. jmex

    Eco-Friendly Hydrogen Engine Project

    Hello PFs, (It should be eco-friendly project) I am working on ICE using hydrogen fuel. My very first step is to produce hydrogen from water that i have achieved by electrolysis.(hope to see another method as i have heard one to produce from sunlight) I am using this hydrogen and oxygen...
  24. N

    Kinetic energy of a hydrogen atom in its ground state

    Homework Statement While playing around with basic QM, I tried using the hamilton operator to find the kinetic energy of a hydrogen atom in its ground state. I assume the wave function ##\psi_1## is known. However, I of course ran into problems... 1) in my solution attempt below, I end up with...
  25. Z

    Ratio of positive to negative hydrogen ions in the universe?

    Hi this may sound like a simple question but I'm trying to find out the relative abundance of hydrogen in its various forms in space: H, H+, H-, H2, H2+, H2- I'd like to know these for our stellar neighborhood involving the solar wind and also for interstellar space outside the heliopause...
  26. S

    Angular momentum of wavefunction in Hydrogen atom

    Homework Statement Electron in Hydrogen atom can be described with wavefunction ##\psi =\frac{1}{2}(\psi _1+\psi _2+\psi _3+\psi _4)## where ##\psi _1=\psi _{200}##, ##\psi _2=\frac{1}{\sqrt{2}}(\psi _{211}+\psi _{21-1})##, ##\psi _3=\frac{i}{\sqrt{2}}(\psi _{211}-\psi _{21-1})## and ##\psi...
  27. Z

    Electrochemical reduction of Hydrogen forms hydride?

    Would the electrochemical reduction of H2 form Hydrogen Anions of H- H2 + 2e- -> 2H- If this is the case, is the following true? H- + (1/2)H2 -> H2
  28. C

    Linear combination of wave function of a Hydrogen Atom

    Homework Statement I am given a linear combination of wave function of HYDROGEN ATOM Ψ=1/2(Ψ200 +Ψ310+Ψ311+Ψ31-1), where the subscripts are n, l, m respectively. I was asked to find all the possible outcomes when measuring Lx and their corresponding probabilities. Homework Equations...
  29. xortdsc

    Hydrogen anion stable when left unperturbed ?

    Hi, I wondered if an isolated singly negatively ionized hydrogen atom (1 proton, 2 electrons) would be stable. In the corresponding wikipedia article it states: "H− is unusual because, in its free form, it has no bound excited states, as was finally proven in 1977 (Hill 1977)." - does this...
  30. N

    Mixture of hydrogen and oxygen in container

    Homework Statement In a closed container with a volume of V = 5 50 l is a mixture of hydrogen and oxygen with the total mass m = 50 g. The container have pressure p = 300 000 Pa and the temperature t_1 = 20 ° C. A) What is the number of moles n_1 (hydrogen) and n_2 (oxygen) in the container...
  31. J

    Introduction of Oxygen and Hydrogen

    Does introducing small amount of hydrogen and oxygen with gasoline into an internal combustion engine make the sensor read lean and and just enter more gasoline? John
  32. U

    Emission from hydrogen discharge tube

    Homework Statement In a lab experiment on emission from atomic hydrogen in a discharge tube only a small number of lines are observed whereas a large number of lines are present in the hydrogen spectrum of a star. Why? The Attempt at a Solution I think it is related to temperatue but I...
  33. V

    Concept problem, we can determine the possible value of Lx in hydrogen

    concept problem, we can determine the possible value of Lx in hydrogen atom? The book of introduction to quantum mechanics told me that The value of Lx can not be determined. I know the concept behind this statement However, when I am practicing, I see one of my question that requires me the...
  34. S

    Distance between electron and proton in Hydrogen

    Homework Statement I had to calculate the probability that we find electron more than 0.1 nm away from proton in Hydrogen atoms if ##\psi _{n,l,m}=\psi _{1,0,0}## (i don't know the english word for this state, but I think we all know what we are talking about :D) My result is 0.09957. Now I am...
  35. S

    Using a Platinum Electrode & HCl in a Standard Hydrogen Electrode

    In Standard Hydrogen Electrode why only Platinum electrode should be used and why should it be dipped in HCl?why can't we use any other metal dipped in any other acid other than HCl?
  36. J

    How to Generate Hydrogen and Oxygen

    I have generated hydrogen and oxygen from salt water and water from batteries and have used stainless steel, copper, and aluminum electrodes using electricity, but the electrodes keep disappearing to fast. Is there a way to generate hydrogen and oxygen without this problem or by maybe changing...
  37. S

    Hydrogen wave function in terms of m_z after m_y measurement

    Homework Statement Given the following wave function for hydrogen: psi(r, t=0) = (1/sqrt(10))*(2*psi_100 - psi_210 + sqrt(2)*psi_211 + sqrt(3)*psi_21(-1)) where the subscripts show n, l, m_z, respectively, and the psi_nlm_z are already normalized. - At t=0, we measure and find l = 1...
  38. S

    Probability of a spin flip transition in neutral hydrogen

    Homework Statement I'd like to calculate the probability of a spin flip transition occurring in the ground state of neutral hydrogen. That is, the transition from parallel to anti-parallel spin configuration of the electron and proton. This transition produces the 21-cm line. Homework...
  39. D

    Hydrogen atom eigenstate: proving orthogonality of states

    Homework Statement Hey dudes So here's the question: Consider the first excited Hydrogen atom eigenstate eigenstate \psi_{2,1,1}=R_{2,1}(r)Y_{11}(\theta, \phi) with Y_{11}≈e^{i\phi}sin(\theta). You may assume that Y_{11} is correctly normalized. (a)Show that \psi_{2,1,1} is orthogonal...
  40. D

    Probability of measuring E in a Hydrogen atom, and expectation values

    Homework Statement Hey guys, so here's the question: The energy eigenstates of the hydrogen atom \psi_{n,l,m} are orthonormal and labeled by three quantum numbers: the principle quantum number n and the orbital angular momentum eigenvalues l and m. Consider the state of a hydrogen atom at t=0...
  41. T

    Hydrogen Atom Matrix Elements Related to Transition Probability

    Homework Statement Evaluate the matrix element <U210|z|U100> where by |Unlm> we mean the hydrogen atom orbital with it's quantum numbers. Homework Equations The Attempt at a Solution So where I'm getting stuck is on the integral, because the "U" portion of the wave function is...
  42. L

    Energy of different energy levels of hydrogen atom

    Homework Statement A hydrogen atom is in 2p state, how many different energy levels are there if a magnetic field of 0.10 T is applied to it, and what are their energies? Make sure spin is included. Homework Equations U = -gmsμzB g is the Lande-g factor, which is about -2 for...
  43. R

    Finding the bond length of hydrogen theoretically

    If the bond length of two atoms is the distance where the force of repulsion is equal to the force of attraction, then one could figure out what the bond length of H2 is by setting the net force of attraction to the net force of repulsion and solving for distance. However when I try this ...
  44. Q

    Solving a Vapor Pressure Problem: Find Hydrogen Volume at 23°C

    Homework Statement A 425-mL sample of hydrogen is collected above water at 35°C and 763 torr. Find the volume of the hydrogen sample when the temperature falls to 23°C, assuming the barometric pressure does not change. (vapor pressures of water : at 35°C, 42.2 torr ; at 23°C, 21.1 torr)...
  45. M

    Questions about Muonic Hydrogen: Binding Energy, Rydberg Formulas & Momentum

    I have a few questions about muonic hydrogen: How to calculate the binding energy? Is there Rydberg formula analog for muonic hydrogen? Is there a way to calculate muon momentum (similar like the electron has, 2.730 e-22 kg m/s)?
  46. M

    Feynman Hellman Theorem: dependence of E on [itex]\ell[/itex] Hydrogen

    The theorem states \frac{\partial E}{\partial \lambda} = \langle \psi \mid \frac{\partial H}{\partial \lambda} \mid \psi \rangle Where \mid \psi \rangle is an eigenket of H. An example (given on Wikipedia) is to find \langle \psi \mid \frac{1}{r^2} \mid \psi \rangle for a Hydrogen...
  47. L

    Probability of electron location in Hydrogen atom

    Homework Statement What is the probability that an electron in the ground state of hydrogen is within one Bohr radius of the nucleus? Homework Equations P_{nl}(r) = r^{2}|R_{nl}(r)|^{2} The Attempt at a Solution Since it's an electron in the ground state of a hydrogen atom, that...
  48. C

    Energy content of gasoline and hydrogen comparative math question

    Homework Statement A typical car gas tank holds 15 gallons A) Calculate the energy content of this much gasoline B) Calculate the chemical energy content of 15 gallons of hydrogen gas under normal conditions (12.8 MJ/m^3) and compare with the energy content of gasoline Homework...
  49. L

    Modern Physics Lab: Hydrogen Wavelengths & Energy Levels

    This question is based on a modern physics lab I'm working on, and it's conceptually killing me. 1. Homework Statement For hydrogen, compare your measured wavelengths to the predicted wavelengths for hydrogen. Assuming the lower level is the same for all the lines you observed in the...
  50. J

    Can elements replace Hydrogen in polar molecules & act similarly?

    Today in 9th grade ADV Biology, we learned about how the two Hydrogen atoms in a Water molecule are relatively positive compared to the Oxygen atom. This is because the Oxygen's pull on Hydrogen's electron is greater than the Hydrogen's, or that its Electronegativity is greater. This unequal...
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