Hydrogen Definition and 1000 Threads

I wanted to know the average total energies of an isolated hydrogen atom's electron and proton separately. I came across a lot of equations I could try to use, but I figured I'd ask to see if this information has already been approximated. Thanks

Hi, I'm trying to figure out the solution for the ground state of the hydrogen-atom, however it is not going well. As far as i know, you can supress the angular dependence, because the states of hydrogen (or at least some of them) are spherically harmonic. This way the schr. equation just...

I recently had a probelm in QM to find the time evolution of a hydrogen prepared in a state with a wave function that is not an energy eigenfunction: specifically, psi = Y21*R2p where Y is then the D spherical harmonic. Of course, n=2 hydrogen doesn't have d oribtals. So the problem is I...

In the position representation, its true that we can use operators to represent the coulombic interaction between the proton and electron of a Hydrogen atom. I've never actually given any thought as to what the elements of such an operator would be (in matrix form of course). I know these...

Homework Statement An initial state is given: {\lvert {\psi(0)} \rangle} = \frac{1}{{\sqrt{3}}} \left( {\lvert {100} \rangle} + {\lvert {210} \rangle} + {\lvert {211} \rangle}\right) An L_z measurement is performed with outcome 0 at time t_0. What is the appropriate form for the ket...

I have had this question in the back of my mind for a while. Hydrogen has 1 proton and 1 electron, and the atom is electrically neutral. So that means that the electrical charge from the electron and the proton cancel each other out as they have equal/opposite charge. Then when you add another...

Hi, If the normalized 1D wave-function of hydrogen atom for n=1, l=0, m_l=0; \psi_{1s}(x)=\frac{1}{\sqrt{\pi} a_{0}^{3/2}}e^{-x/a_{0}} and probability distribution of wave-function, \mid\psi_{1s}(x)^2\mid so integration of rho over all x should give the number of electrons which is equal to...

I've searched google for some decent tables but couldn't find any. I'm trying to collect Normalized Spherical Harmonics Associated Legendre Polynomials Zeros of the Spherical Bessel Function Normalized Radius Function for the Hydrogen atom etc. I'm allowed a sheet with as much of these...

Hi I assume that two hydrogen atoms fuse together to form one helium atom during nuclear fusion. But what happens when other isotopes of hydrogen fuse together? What happens to two deuterium atoms when they fuse together? Tritium? I'm assuming that they would form an isotope of helium, but...

Thanks in advance for anybody who is kind enough to help me. No this isn't for my homework. I am not even enrolled in school. I am doing some calculations for personal research. But I need to know the ground state radius of a muonic hydrogen atom to help prove my theory. I already know the...

Find <nlm|(1/R)|nlm> for the hydrogen atom (nlm = 211), R is just the radial position Operator (X2 + Y2 + Z2)½.

Would someone tell me some website where I can find the relativistic treatment of the hydrogen atom using Dirac's Equation? I am not trying the find the method which uses Schrodinger's equation and adds as perturbations fine and hyperfine structures? Thank you. So far i have not find anything...

i know the rules of increasing and decreasing atom sizes down and across the periodic table. however, i have met one strange thing when i was given data to plot a graph. the hydrogen atom radius was stated as 32 pm, but helium was 50 pm. when i searched the internet, i found few websites...

What quantities appear in both the Schrodinger approach and the original Bohr theory of a hydrogen atom? Also, in what ways do the two approaches differ? I'm not sure which quantities appear in both approaches. My guess would be that it has something to do with the energy levels and angular...

A hydrogen atom is in the state \psi=Ar^2e^{-r/a}cos(\theta). I need to find lowest energy state and etc. Obviously normalize to find A, but I'm not seeing the obvious linear combination of wave functions; and I really don't think my instructor wants me to do several inner products (plus...

Is forming ammonium nitrate and hydrogen from air and water is possible. N2+3H2O > NH4NO3 +H2 Is this reaction exothermic? Ammonium nitrate has enthalpy of formation of -365.1

Homework Statement 1 mole of Hydrogen gas at 300 Kevin is contained in a thin walled copper container. In container #2 there is 1 mole of Neon gas also at 300 Kevin. The volume= 22.4 liters and surface area ,A = .476 m^2 The surroundings are at 100 deg Kelvin. The specific heat of H2= 5...

Here comes a pretty hard question, which not even my QM teacher has been able to answer. When we think about one hydrogen atom, and put it in an electric field along the z-axis \bar E = \bar e_z E. Then the potential for a hydrogen atom will look like this: U = -\frac{e^2}{4\pi \epsilon_0...

Hello, I don't know if this is the right place to post.. this is a self study question from Levine, it is told that is important but i have no clue in solving it .. The Balmer series corresponds to a set of emissions involving the electron in a hydrogen atom relaxing from a high energy...

Homework Statement 1 mole of Hydrogen gas at 300 Kelvin is in a thin walled copper container vol 22.4 liters surface area A = .476 M^2 In vessel #2 , 1 mole of Neon gas also 300 Kevin The specific heat of H2= 5 cal/mole (K) Thermal conductivity (k) H2 = .0433 cal/sec. converts to .00866...

According to the Brønsted-Lowry definition, a base is a compound that can -keyword- accept H+, and an acid anything that can give H+.

The 1s radial function of the wave function of H atom is: R10=2 a-3/2e-r/a ,where a = 5.29*10-11 meter but substituting a with its value,we will get R10 = 5.2*1015 *e(-1.89036*1010 r) and that is impossible if r=a and R(r)=1.9*1015 where is the problem ? What's more, the unit...

I'm studying particle physics now and am confused with all these terminologies.

Would the energy just be a multiple of how much bigger it is than electron?

Homework Statement A Hydrogen atom is initially in its ground state and then subject to a pulsed electric field E(t)=E_{0}\delta(t) along the z direction. We neglect all fine-structure and hyperfine-structure corrections. Homework Equations 1. It is important to use selection rules to avoid...

Why is there no allowed transition from the 2s^2 S_{\frac{1}{2}} state to the 2p^2 P_{\frac{3}{2}} state in the attached image? It seems to fulfill the selection rules \Delta l = \pm 1 and \Delta j = 0, \pm 1. This is for electric dipole transitions by the way.

Homework Statement use the RYDBERG formula to suggest a possible transition that would result in the observed wavelength Homework Equations Hydrogen - yellow wavelength about 600nm The Attempt at a Solution I used c= lambda x frequency(V) and found (V) to equal 5e14/second I then...

Looking for ideas that allow me to create Methane ( CH4 ) from gaseous hydrogen. This requires bonding one carbon atom to four hydrogen atoms, which should be simple enough, but there needs to be a minimum explosive danger. I know there are appliances to go the other way, but don't have the...

Hello I have a question if someone could help I would be grateful. We have a wave function \psi(r,\theta,\varphi) = R_{5,4}Y_{l,m} + R_{5,3}Y_{3,0} + R_{5,2}Y_{2,1} which is describing a hydrogen atom. I have to find out for what values of the orbital quantum number and magnetic quantum...

Homework Statement The potential energy V between the two hydrogen atoms ( mH = 1.672*10^(-24) g) in a hydrogen molecule is given by the empirical expression  V = V0 [ exp(-2a(r-r0)) - 2exp(-a(r-r0))] where V0 = 7*10^(-12) erg, a = 2*10^8 cm-1, r0 = 8*10^-9 cm. (a) Estimate the...

Are there any ionizing solutions for the hydrogen atom problem, where the electron breaks away from the proton?

Under what conditions and how will negative oxygen ions react with hydrogen and hydrocarbons (such as methane or gasoline)?Does it require some catalyst or should be burned together? What is a way to harness spare electrons from oxygen when water is formed?

Homework Statement The time-averaged potential of a neutral hydrogen atom is given by V = \frac{q}{4 \pi \epsilon_0} \frac{e^{-\alpha r}}{r} \left ( 1 + \frac{\alpha r}{2} \right ) [tex]\alpha = 2/a_0[/itex], where a_0 is the Bohr radius. Find the charge distribution (continuous and...

Hi. How much hydrogen dose it take to keep a blimp in flight. Let’s say I want 2000 kg of lift, and to keep it flying constantly. How much hydrogen would I need per day or hour? If I had a steel cable with a reinforced tube to keep hydrogen pumping into the blimp from the ground, what amounts...

Homework Statement Okay here's the problem, normally I can get all this stuff, but right now this is blowing my mind, partly because its too general. "In other problems and examples in the textbook we found the effective spring stiffness corresponding to the interatomic force for aluminum...

Hi chaps I wonder if anyone can help - I'm really stuck! I have purchased Sodium Percarbonate as I want to use it as Hydrogen Peroxide. I want to use it at 6% strength but do not know what ratio to mix it with water with! The data sheet is here...

Homework Statement During my calculation of hydrogen atom perturbation, I need to integral below in cartesian coordinate. It is given that below integral can be transformed. Homework Equations Anyone could help to see what will the transformed integral in polar coordinate if the...

My professor just attempted to explain ionized hydrogen to us. She said that an ionized hydrogen atom is basically a proton. But I don't understand why that would still be considered hydrogen if it no longer has an electron.

Homework Statement A hydrogen atom in the n = 2 state absorbs a photon with wavelength 380 nm. Q1. Find the change in the atom’s total energy. Q2. Find the change in the atom’s potential energy Q3. Find the change in the orbiting electron’s kinetic energy. Homework Equations...

Homework Statement Calculate the probability of finding the electron in a hydrogen within the angle \pm30\circ from the x-y plane.The hydrogen is in the (2,1,1) state. Homework Equations probability = \int\int\int\left|R_{2,1,1}\right|^{2} \left|Y^{1}_{1}\right|^{2} r^{2} sin(\theta) dr...

Homework Statement A hydrogen atom is in a state with energy -0.278 eV. Homework Equations L = nh' The Attempt at a Solution The answer book says to do E_n = (-13.6 eV)/n^2 but I can't find this equation in our book. Is the 13.6 a significant number or just a different number...

How many hydrogen atoms are there in a 5 sample of pure hydrogen?

Homework Statement Substitute an electron in a neutral hydrogen atom with a muon. a) calculate the Bohr radius of the ground state for this myonic atom of atom. The answer must be right to at least 2 significant digits. b) Calculate the fraction of the myon that is located inside the proton...

Homework Statement Substitute an electron in a neutral hydrogen atom with a muon. a) calculate the Bohr radius of the ground state for this myonic atom of atom. The answer must be right to at least 2 significant digits. b) Calculate the fraction of the myon that is located inside the proton...

Homework Statement What is the difference between nuclear fission and nuclear fusion? After answering the question proceed on to answer the next question Between Hydrogen Bomb and Atomic Bomb, which bomb causes more damage. provide you answer with reasons. Homework Equations Nuclear...

Homework Statement Calculate the expected value for r^2 for the 2s wavefunction of the hydrogen atom (only the radial part of the function is needed for l=0). If you choose to solve this problem graphically, plot or sketch the function you integrate. Homework Equations...

Rank the following base pairs according to their stability. Rank from most to least stable. To rank items as equivalent, overlap them. ------------- I have found out that the first one is thymine-adenine pair and the second one is a cytosine-guanine pair. The third one is cytosine...

is it possible to separate the 3 elements in cloth Carbon,oxygen and Hydrogen without wetting it? Gas? Sound waves? Making the elements heavier?

There exist such interesting issue as intercalation, which seems to allow, for example, to store 4.4 intercalated Li ions per one (!) Silicon atom.The latest is a host material.I think if there will be found a material which would allow to store the same ratio of intercalated hydrogen ions...

Does mixture of hydrogen and oxygen actually has to be ignited or the reaction occurs even without ignition when some critical H:O proportion is reached?