What is Hydrogen: Definition and 1000 Discussions

Hydrogen is the chemical element with the symbol H and atomic number 1. With a standard atomic weight of 1.008, hydrogen is the lightest element in the periodic table. Hydrogen is the most abundant chemical substance in the universe, constituting roughly 75% of all baryonic mass. Non-remnant stars are mainly composed of hydrogen in the plasma state. The most common isotope of hydrogen, termed protium (name rarely used, symbol 1H), has one proton and no neutrons.
The universal emergence of atomic hydrogen first occurred during the recombination epoch (Big Bang). At standard temperature and pressure, hydrogen is a colorless, odorless, tasteless, non-toxic, nonmetallic, highly combustible diatomic gas with the molecular formula H2. Since hydrogen readily forms covalent compounds with most nonmetallic elements, most of the hydrogen on Earth exists in molecular forms such as water or organic compounds. Hydrogen plays a particularly important role in acid–base reactions because most acid-base reactions involve the exchange of protons between soluble molecules. In ionic compounds, hydrogen can take the form of a negative charge (i.e., anion) when it is known as a hydride, or as a positively charged (i.e., cation) species denoted by the symbol H+. The hydrogen cation is written as though composed of a bare proton, but in reality, hydrogen cations in ionic compounds are always more complex. As the only neutral atom for which the Schrödinger equation can be solved analytically, study of the energetics and bonding of the hydrogen atom has played a key role in the development of quantum mechanics.
Hydrogen gas was first artificially produced in the early 16th century by the reaction of acids on metals. In 1766–81, Henry Cavendish was the first to recognize that hydrogen gas was a discrete substance, and that it produces water when burned, the property for which it was later named: in Greek, hydrogen means "water-former".
Industrial production is mainly from steam reforming natural gas, and less often from more energy-intensive methods such as the electrolysis of water. Most hydrogen is used near the site of its production, the two largest uses being fossil fuel processing (e.g., hydrocracking) and ammonia production, mostly for the fertilizer market. Hydrogen is problematic in metallurgy because it can embrittle many metals, complicating the design of pipelines and storage tanks.

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  1. L

    Radial probability density of hydrogen electron

    Homework Statement I know this question has been asked before, but I am looking for a different kind of answer than the other poster. Bear with me here. Problem: For a hydrogen atom in the ground state, what is the probability to find the electron between the Bohr radius a0 and (1.01)a0...
  2. gracy

    Understanding Hydrogen Gas Excitation & Absorption

    If the hydrogen gas is supposed to emit photons when the electrons undergo excitation, then why did the gas absorb energy earlier and got the electrons excited?
  3. WaterBart

    Deep Water Electrolysis = Hydrogen + Buoyancy

    Hi there. The energy used for hydrogen production can be recovered using the buoyancy force of the gas created at sufficient depth of water. Suppose we use electricity to split ocean water to produce hydrogen. Then the produced gas is captured into containers which are attached to a conveyer...
  4. B

    What Factors Influence the Density of a Hydrogen Cloud in Space?

    Hi, I wanted to ask, what does the density of a hydrogen cloud in space depend upon? That might be a silly question given the definition of density, but here's the context; Considering a particle at rest within a molecular cloud at radius r from the centre, I have shown that the acceleration...
  5. J

    Most probable electron location in Hydrogen ground state

    From the ground state wave equation the most probable outcome of anyone measurement will be in the center of the atom, at the nucleus. The expectation value is found to be the Bohr radius. So does this mean that if you measure the position of an electron in a hydrogen atom in the ground state...
  6. L

    Kinetic Enegry and Hydrogen Atoms

    Homework Statement (a) What is the minimum kinetic energy in electron volts that an electron must have to be able to ionize a hydrogen atom (that is, remove the electron from being bound to the proton)? Answer: 13.6 eV (b) If electrons of energy 12.8 eV are incident on a gas of hydrogen...
  7. O

    What is the oscillation frequency of a vibrating hydrogen molecule?

    Homework Statement When displaced from equilibrium by a small amount, the two hydrogen atoms in an H2molecule are acted on by a restoring force Fx=−k1x with k1 = 500N/m. Calculate the oscillation frequency f of the H2 molecule. Use meff=m/2 as the "effective mass" of the system, where m is the...
  8. J

    What fraction of the Sun’s total mass is lost during fusion?

    Homework Statement During fusion of hydrogen to helium, 4 billion kg of matter are converted to energy each second. What fraction of the Sun’s total mass is lost each year to this process? Homework Equations None. The Attempt at a Solution First: Convert how many seconds are there in a year 1...
  9. D

    Interaction between light and hydrogen atom

    If a symmetric distribution of charge has no electric dipole moment, where does the \mu term we write in the part of the hamiltonian representing interaction with light come from? We suppose it is induced by the electric field of the light?
  10. E

    Revolutions per second for hydrogen molecule

    Homework Statement The distance between the both nucleons in the H2 molecule is 0.0741 nm The energy for the 3 lowest radiation levels of the molecule are: ##E_{0}=0 \\ E_{1}=0.0151 eV \\ E_{2}=0.0453 eV## How many revolutions per second does the molecule rotate with in the different states...
  11. D

    Other Reactions That Place When Hydrogen and Oxygen are combined

    After reading this article, Water Vapor Found on Neptune-size Alien Planet - http://www.space.com/27251-water-found-neptune-size-exoplanet.html, I was wondering what other reactions would occur within the atmosphere of the planet as a result of the combination of oxygen at 25% to the 90% volume...
  12. 2

    Deriving the ground state energy of a hydrogen atom?

    Homework Statement Hello! I am trying to derive the ground state enegry of a hydrogen atom, and have come to U=\frac{-mk_{0}^{2}Ze^{4}}{n^{2}\hbar^{2}} Problem is, I know there should e another factor of 2 in the denomenator because I get the ground state energy of hydrogen as being 27.145eV...
  13. M

    Electron Transition & Photon Emission in Hydrogen Atom

    How an electron transition from lower energy state to higher energy state in hydrogen atom emits a photon?
  14. C

    Where should hydrogen be placed in the periodic table?

    Hi all, I was always of the belief that hydrogen did not belong to any group in the periodic table. After discussions, some say that a group 1 or 7 place might be more suitable. Any opinions would be welcomed hopefully from a physics point-of-view on this topic.Thanks in advance
  15. H

    Does electron excitation for atoms above hydrogen happen at the valenc

    Does electron excitation for atoms above hydrogen happen at the valence before the core electrons first? I know that for a gamma ray it is due to the excitation within the nucleus, but what about for normal emission spectra. Do we just shine a bunch of different energy onto the atom and...
  16. S

    Moist Chlorine & Hydrogen Psychrometric or Mollier Chart

    In our electrolysis of brine, Cl2 & H2 are produced as gaseous products along with aqueous NaOH. In this scenario I require what amount of maximum moisture can Cl2 or H2 hold up at specific temperature & pressure (precisely 85celsius & 1.2bar absolute). Two coolers (shell/tube exchanger with...
  17. D

    Acyl chloride and hydrogen bond

    Homework Statement why acyl chloride can't form hydrogen bond? there's C=O , which O atom can form hydrogen bond . am i right?Homework Equations The Attempt at a Solution
  18. neilparker62

    Stokes Shift in Hydrogen Spectrum ?

    Would one expect the emission and absorption spectral lines for Hydrogen to be at slightly different frequencies ? So if electrons are excited to higher energy levels on absorption of photons and then fall back down again emitting photons, would there be any difference in frequency. Assuming...
  19. N

    Magnitude of the electric force a hydrogen nucleus exerts on electron?

    Homework Statement What is the magnitude of the electric force a hydrogen nucleus exerts on its only orbiting electron in the Bohr model? The Attempt at a Solution Fe = kQq/r^2 Since there is one proton and one electron. Q and q are equal to each other: 1.6 x 10^-19. k = 9 x...
  20. R

    Is it possible for liquid hydrogen to exist in space?

    Hi, I was wondering why there is no liquid hydrogen in space? Space is very cold, more cold then the temperature that is required to convert gas hydrogen to liquid here on earth? Therefore, why is hydrogen in space in gas form and not liquid? Thanks
  21. R

    Hydrogen partition function and degeneracy

    So I'm trying to use the excitation law of Boltzmann and the ionisation law of Saha to calculate stuff about what percentage of a quantity of hydrogen in ionised and in what energy state. I have the temperature and energy levels values, so i still need the: -statistical weight (degeneracy)...
  22. neilparker62

    New Formula for Hydrogen Spectral Lines Wavelengths/Frequencies

    Hi I have a new formula (or at least I think it's new) for predicting the wavelengths/frequencies of hydrogen's spectral lines. Please take a look and tell me if it is new. I am quite confident that it works because Bohr's original formula 'falls out' if one approximates cos(x) as 1 + x^2/2...
  23. C

    Electron orbital velocity in hydrogen atom?

    Are there any actual numbers for electron orbital velocity in hydrogen atom?
  24. C

    Stern-gerlach with hydrogen atoms

    I was looking through a physics book that has the answers in the back. this is not homework. It asks about a neutral beam of hydrogen atoms going into a strong non-constant B field. It asks how many ways will the beam split. It says the answer is 2. Why is the answer not 3. spin 1, spin 0...
  25. T

    Brainfarting reading Griffiths QM (small step in solving Hydrogen atom

    I can tell this is simple, but I'm just not seeing it: (pages 146-147) Radial equation = d^{2}u/dp^{2} = [1 - p_{0}/p + l(l+1)/p^{2}]u Later... (having stripped off the asymptotic p^{l}e^{-p} parts) d^{2}u/dp^{2} = p^{l}e^{-p}{[-2l-2+p+l(l+1)/p]v + 2(l+1-p)dv/dp + p*d^{2}v/dp^{2}} And he...
  26. C

    J.J thomsons Catode ray - Why hydrogen gas?

    Hi, I'm curious about J.J thomsons Catode ray, and i have a few questions: In J.J. Thomsons Catode ray setup he has hydrogen gas in a chamber through which the catode ray is beamed. What is the role of hydrogen gas? What could he use the hydrogen gas for? And how could he make up...
  27. R

    Hydrogen excitation, ionisation and photon absorption

    I need help with something that i seemed to remember was fairly easy, but just can't seem to find the simple formula for: I have an amount of hydrogen atoms at a temperature of 10000 Kelvin. What percentage of them are ionised and what percentage of them are in the n=2 excited state...
  28. R

    Absorption cross sections of hydrogen ions

    hello, i need the values for the absorption cross sections of positive hydrogen ions for a specific set of wavelengths, Halpha to start with. At first i thought finding this on the web was easy, but turns out to not be trivial at all. If you can help me, i also need the (reliable) source...
  29. K

    How is Wavenumber related to visible lines in the Hydrogen spectrum?

    It is given in my book that " If the spectral lines are expresses in terms of Wavenumber, then the visible lines of the Hydrogen spectrum obey the following formula: Wavenumber = 109,677(1/22 - 1/n2) Here, I cannot understand that how can the visible lines be expressed in terms of...
  30. D

    Understanding Feynman's Approach to Covalent Bonding in Hydrogen Molecule

    In his lectures on quantum mechanics, Feynman treats the hydrogen molecule as a two-state system to give a general understanding of the covalent bond. He starts with base state |1> as electron a in ground state of left proton and electron b in ground state of right proton and base state |2> as...
  31. U

    Trying to calculate how <r> in the Hydrogen atom changes with time

    I am working on the Hydrogen atom and I was trying to calculate \frac{d<r>}{dt} using \frac{d<r>}{dt} = \frac{i}{\hbar} <[\hat{H} , \hat{r}]>. Here r = \sqrt(x^2 + y^2 + z^2) and H = \frac{p^2}{2m} + V where p^2 = -\hbar^2 \nabla^2 . Now according to Ehrenfest's theorem <r> should behave...
  32. S

    How Efficient is Hydrogen Energy Conversion?

    Hi, Does anyone know what is the energy loss of splitting water to hydrogen and then convert it back to energy? hpw much energy do you need for making 1 KWh? thank you, Sami
  33. V

    Hydrogen Atom in homogeneous magnetic vector potential

    Hey! I did an quantum mechanical analysis of a Hydrogen Atom in a homogeneous magnetic vector potential (I know that it might be impossible to create this kind of field) out of curiousity. I showed it to some professors of mine, but they all said that they don't have time. So I decided to post...
  34. L

    Probe for Hydrogen Peroxide residue analysis

    Hi everyone, I've been reading articles and looking at many websites for methods to measure hydrogen peroxide residue concentration in lake water, waste water and ocean water as well as in cell extract in situ . But I'm not satisfied. sometimes they seem too complicated and may require a lot of...
  35. S

    The state of a hydrogen electon ?

    The eigenstates of a hydrogen atom are stationary states with definite values of energy. Now, as I understand it, the quantum mechanical state of the electron in the hydrogen atom is really a linear superposition of all these energy eigenstates. So this should mean that there is a finite...
  36. J

    Hydrogen Radial Equation: Recursion Relation & Laguerre Polynomials

    I'm in the first of 3 courses in quantum mechanics, and we just started chapter 4 of Griffiths. He goes into great detail in most of the solution of the radial equation, except for one part: translating the recursion relation into a form that matches the definition of the Laguerre polynomials...
  37. U

    How Does the Zeeman Effect Impact Hydrogen Atom Energy Levels?

    Homework Statement Part (a): What's the origin of that expression? Part(b): Estimate magnetic field, give quantum numbers to specify 2p and general nl-configuration Part (c): What is the Zeeman effect on states 1s and 2s? Homework Equations The Attempt at a Solution Part (b) H =...
  38. U

    Changing Orbital Angular Momentum with Added Protons

    Homework Statement Does adding a proton change the atom's orbital angular momentum? Find the probability that the energy is unchanged. Homework Equations The Attempt at a Solution The orbital angular momentum is unchanged, since ##<L^2> = l(l+1)\hbar^2## is independent of Z...
  39. P

    Lithium Hydrogen Fusion: Exploring the Science and Safety of Li7 + H Reaction

    why doesn't background radiation cause lithium hydride to explode in a nuclear chain reaction Li7 + H = Be8 + energy Be8 = 2He4 + energy
  40. M

    Calculating the % hydrogen and % helium

    Hello, I have been studying the early universe where everything was a bunch of hydrogen atoms and helium atoms. Apparently they calculated the %composition of the universe at the time. How did they do that? What sort of equations can be used to calculate these quantities?
  41. U

    What Quantum Numbers Define a Hydrogen Atom's State with No Angular Dependence?

    Homework Statement What quantum numbers are used to define state of hydrogen? The wavefunction has no angular dependence. Find the values of all the angular momentum quantum numbers for the electron. Homework Equations The Attempt at a Solution The numbers are n, l and m. n: Energy level...
  42. gfxroad

    Interpreting Hydrogen Atom Wave Functions: A Question of Correctness?

    Homework Statement I solved the Schrödinger equation, obtaining a wave function in terms of Radial and the spherical harmonics as follows: $$Ψ(r,0)= AR_{10} Y_{00} + \sqrt{\frac23} R_{21} Y_{10} + \sqrt{\frac23} R_{21} Y_{11} - \sqrt{\frac23} R_{21} Y_{1,-1}$$ Homework Equations...
  43. N

    No. of possible electron transitions in hydrogen in magnetic field

    Homework Statement A hydrogen atom is in the n=3 state. Given that a magnetic field is present, how many photons of different energy can we observe when the atom de-excites to the ground state? Homework Equations quantum number, angular momentum quantum number, orbital magnetic quantum...
  44. G

    What causes different energy levels in atoms with multiple electrons?

    From the calculations of total energy on an energy level we end up with rhe equation which consists of constants only, except of the principal quantum number. Since equation does not include any unique variables, such as number of protons or electrons in an atom, what makes then different atoms...
  45. U

    Hydrogen - perturbation theory question

    Homework Statement Part (a): Explain origin of each term in Hamiltonian. What does n, l, m mean? Part (b): Identify which matrix elements are non-zero Part (c): Applying small perturbation, find non-zero matrix elements Part (d): Find combinations of n=2 states and calculate change in...
  46. 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> =...
  47. 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...
  48. T

    Which gas has the highest flame temperature - hydrogen or carbon

    which gas has the highest flame temperature .hydrogen or carbon...and why
  49. 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...
  50. 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...
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