Hydrogen atom Definition and 397 Threads

[SOLVED] hydrogen atom Homework Statement My book says that R_{1,0}(r) = 2(1/a_0)^{3/2} e^{-r/a_0} is a normalized wavefunction. But if you integrate R_{1,0}(r)^2 over r from 0 to infinity, you do not get 1. What's wrong here?Homework Equations The Attempt at a Solution

Homework Statement I have a question on my quantum pset relating to calculating <p^2/2m> and <-e^2/r> for the first two spherically symmetric states of the hydrogen atom (in 3D). The Attempt at a Solution I started out trying to calculate the averages with \psi ... something like, for...

[SOLVED] Energies of a Hydrogen Atom 1. I have a question on the ratio of energies of an electron in a hydrogen atom. It seems quite simple, but yet seem to be struggling...can anyone help? 2. The question is: "calculate the most probable value of the electron-orbit radius, r, and the ratio of...

Homework Statement Determine the most probable radius for a 2s orbital (Hydrogen atom) Homework Equations Wavefunction for a 2s orbital: 1/(4√2pi*a^(3⁄2) ) (2-r⁄a) e^((-r)⁄(2a)) where, a=bohr radius The Attempt at a Solution First step: find the probability density by...

Homework Statement Find the values of l and a for which the function R(r) = Cexp[-r/a], where C and a are constants, is a solution of the radial equation for the hydrogen atom. Then find the energy in terms of the rydberg constant and the magnitude of the angular momentum. Finally state...

Homework Statement A sample of hydrogen atoms are all in the n=5 state. If all the atoms return to the ground state, how many different photon energies will be emitted , assuming all possible transitions occur? Homework Equations possible equation: E= hc/lambda =(E(initial) -E(final))...

1) Hydrogen’s electron and proton are separated by 5.3x10-13 meters. What is the electrical force between them? 2) A charge moved .02 meters in an electric field of force 215 N/C. If the electric potential decreased by 6.9x10-19, what is the charge of the particle? 3) If a capacitor...

Homework Statement A hydrogen atom at rest in the laboratory emits the Lyman radiation. (a) Compute the recoil kinetic energy of the atom. (b) What fraction of the excitation energy of the n = 2 state is carried by the recoiling atom? (Hint: Use conservation of momentum.) Homework...

Homework Statement given the wavelength of photon absorbed by H atom and wavelength of photon emitted by that H, find the final "n" state of H atom. Homework Equations E=nhf The Attempt at a Solution I tried... n1hf1=n2hf2 n1f1=n2f2 where n1=1 so: f1=n2f2...

Homework Statement According to the classical nature of the hydrogen atom an electron in a circular orbit of radius 5.3*10^-11m around a proton fixed at the centre is unstable. If it is true, how long would it take for the electron to collaspse into the proton? Homework Equations There...

Homework Statement A hydrogen atom in an excited state emits a photon of wavelength 95nm. What are the initial and final states of the hydrogen atom? [Hint: you will need to make a reasonable guess of what is the final state. look at the energy of the photon and compare this energy with all...

Hello everybody. As you surely know, the Schodinger treatment of the Hydrogen Atom gives wrong eigenvalues for the Spectrum. The Dirac equation provides for a correct one. On the other hand, the first who found the correct expression for the levels was "mighty" Sommerfeld using a mixture of...

Homework Statement Consider the Hydrogren atom in a magnetic field of 2T. If the atom is in the ground state (orbital angular momentum L=0) a) Write down the magnetic moments of the proton and the spinning electron b) What is the splitting of the energy of the ground state in eV due to the...

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? Ke = 8.99 *10^9 e = 1.602 *10^-19 ħ = 1.05 * 10 ^-34 Mass of electron =...

We just consider one dimensional case and the classical method. Then the motion equation of the electron in Coulomb field and the plane wave electronic field is d^2 x/ dt^2=-1/x^2+cos t. (x is the coordinate and t is the time. ) How to solve the equation exactly? We don't consider such cases...

QW Why does the emission from hot hydrogen atoms consist of the Lyman, Balmer and Paschen series but the absorption of cold hydrogen atoms consists of just the Lyman series? is it because the cold hydrogen atoms absorb characteristic frequencies and the lyman series involves transitions that...

Hi, I had a few questions about the most well behaved of atoms. 1) Solving the Schroedinger equation gives us a basis (say the energy eigenstates) such that all possible wavefunctions can be written as a linear combination of these stationery solutions. This means that the system is not...

The electron in a hydrogen atom is in the first excited state, when the electron acquires an additional 2.86 eV of energy. What is the quantum number n of the state into which the electron moves? I found the answer to be 5 but I don't know how. I thought I could use the following equation...

Dear PF, Could you pls advise me any books where in detail is described Hydrogen atom (relativisticaly). Thank you very much.

In what ways does Bohr's model of Hydrogen atom violate the uncertainty principle?

In the Bohr model of the hydrogen atom, the speed of the electron is approximately 1.96e+6 m/s. Find the central force acting on the electron as it revolves in a circular orbit of radius 4.8e-11 m. Answer in units of N.

I was messing around with the \theta equation of hydrogen atom. OK, the equation is a Legendre differential equation, which has solutions of Legendre polynomials. I haven't studied them before, so I decided to take closed look and began working on the most simple type of Legendre DE. And the...

Basic SE, Hydrogen atom I'm given the basicc equation for the effective potential I've worked out the bohr radius (a) Q. Describe what happens to the effective potential for orbital angular momentum l>0 and electron radius r < r(min) r(min) = l(l+1)a I'm thinking that the effective...

So, we have an external electric field E_{ex} being subjected to a hydrogen atom and thus adding the following term to the perturbation: H^{'} = -e\vec{E_{ex}} \cdot r. The first question asks to find the correction to the energy treating it as a perturbation, and hints to use the external...

Among the reasons for asking this nominally "no-brainer" question is that it touches directly upon the notion of virtual particles. So, how do we know there's that tiny little electron in a hydrogen atom -- and, since we know there is one there, is the electron real or virtual? Regards...

Here's the question... A hydrogen atom is in the ground state at time t = 0. At this time an external electric field of magnitude E(t)=E*exp(-t/tau) is applied along the z direction. Find the first-order probability that the atom will be in the 210 (nlm) state at time t >> tau, assuming that...

Every one knows that wavefunctions are generally complex functions described by three quantum numbers n, l and m, and the number m is included in the form exp(i*m*fai). But here in the following webpage they are all real functions, I'm confused:confused: . Can anyone help me? Thank u in advance!

Help, I'm losing it :cry:. Wavefunction of Hydrogen atom in the ground state is: \Psi (r) = Ae^{-r/r_0} Determine A. I set about trying to obtain the Normalization factor. \int \Psi^2 (r) dV = 1 \int \left(A^2 e^{-2r/r_0}\right)(4\pi r^2)dr = 1 What limits should I take for this integral?

First could someone actually explain the following question to me! Consider a hydrogen atom to be a positive point charge e at the center of a uniformly charged sphere of radius R and with total charge -e. Using Gauss' Law, find an expression for the electric field as a function of the...

5. The energy En of an electron at the nth orbit in the hydrogen atom is given as: En = - (13.6 / n2 ) eV where n = 1,2,3, . . . . . a, If an electron is at n=3, how many spectral transition lines are possible if it falls to the ground ? For part a, what does it mean by "how many...

Assume there's a hydrogen atom. Its proton(charge +e) is at the center of a spherical electron cloud(-e) which radius is 10Å and the electrons are uniformly distributed at the sphere's surface. If we now put it into a uniform electric field E_0, what is the distance \delta between the proton...

A hydrogen nucleus has a radius of 1 x 10-15 m and the electron is about 5.4 x 10-11 m from the nucleus. Assume the hydrogen atom is a ball with a radius of about 5.4 x 10-11 m and the nucleus is a ball with a radius of 1 x 10-15 m. How much work (in electron volts) must be performed by an...

how do you find the normalized wave functions of the hydrogen atom for n=1, l=0 and ml=0? in my textbook, it's a table, but i have no idea where the figures come from...

hydrogen atoms in states of high quantum number have been created in the labortatory and observed in space. Find the quantum number of the Bohr orbit in a hydrogen atom whose radius is 0.01mm. my problem: n=(0.00001/(5.29*10^-11))^(1/2)=434.7 i think that n should be 434, because the...

Hi guys I'm having a problem with calculations involving the ground state of the hydrogen atom. My main issue comes from the wavefunction of this state: i.e. \Psi(r) = \frac{1}{\sqrt{\pi a^3}}\exp{\frac{-r}{a} My main problem seems to come from the fact that this function has no complex...

7. A hydrogen atom makes an electronic transition from its n = 4 level to its lowest energy level. Calculate the change in energy of the hydrogen atom. E = (-2.18 x 10^-18 J) (1/1 -1/16) + 2.04378 x 10^-18 J Is this correct. If not, can you show me how to do it. Thanks for the help.

I had a physics exam today in which we were presented with a model of a hydrogen atom with a single electron orbiting a single proton. We were told the radius of the "orbit" of the electron, and subsequently had to calculate the electrostatic force between the proton and the electron and the...

This selection comes from the Serway . Beichner, Physics for Scientists and Engineers text that many undergrads are (I'm sure) familiar with! I've looked at this problem on 3 different casual occasions and on one test and still have yet to arrange the concept in my mind... "In the Bohr...

I am having some trouble w/ a take home Physics final. I am down to my last 2 questions: 1) What is the frequency for a photon emitted from a hydrogen atom when an electron makes a transition from an energy state n=3 to n=1? What is the energy of the photon in Joules and MeV? 2) A...

We were given this formula in class: delta E= chR (\frac{1}{1^2} - \frac{1}{inf}) the 1/1^2 is because it is in ground state. So the formula simplifies to chR c = 299792000 h = 6.626E-34 R = 10970000 and 1.60217653*10^{19} Joules / eV I get: 1.36009026784583 * 10^{-37} eV...

How would I show that the most probable values of r for the n-1=l states of hydrogen are r=n^2a where a is the Bohr radius I know these values must satisfy the equation d/dr(unl)^2=0

[FONT=Comic Sans MS]Consider a hydrogen atom in the n = 1 state in a magnetic field. For what value of the magnetic field is the splitting between the s = +1 and s = -1 levels equal to .000093 eV?

I have asked many people and searched many sources for the answer to the following question but have yet to reach a satisfactory conclusion. When solving the hydrogen atom by separation of variables, for the angular equation, you come across the O.D.E. d^2/(do)^2 (F) =...

Here's my question... For a hydrogen atom in the ground state, what is the probability to find the electron between 1.00a and 1.01a, where a is the Bohr radius? It is not necessary to evaluate any integrals to solve this problem. I know that P(r)=r^2*(R(r))^2. I used the R(r) expression...

Hey all. I've got a physics question due tonight (Friday) at 11pm CST and I'm stumped. Any input at all would be helpful, thanks! A hydrogen atom, when vigorously perturbed, can emit light with a frequency of 6.16·10^14 Hz. When the same light from hydrogen atoms in a distant galaxy is...

What is the energy of the photon when the Hydrogen aton transitions from the n=4 to n=3 energy state?

please help me study by answering a few questions. consider a hydrogen atom with energy levels En= -(13 eV)/(n^2) this atom is bombarded by photons of E = 15 eV. What is the incoming photon frequency? What are possible kinetic energies and speeds of the emerging electrons? What is...