Energy levels Definition and 276 Threads

I am having an issue calculating the first few energy levels of Lithium. To add, electron-electron repulsions are ignored. Since electron-electron repulsion is being ignored, I am starting with the following, For Hydrogen...

H2 has a moment of inertia equal to 4.603 x 10-48 kg m2. 1) Calculate its bond length. 2) For the first 3 rotational energy levels, find the a) l quantum number b) ml quantum number c) the degeneracy of each rotational level d) energy eigenvalues e) the magnitude of l Ok so I...

In the famous diagrams of the energy levels of a hydrogen atom it seems that the energy levels get closer together as they increase such that the difference in energy between higher energy levels is less than between lower ones. But working from the electron in a box approach we get the...

Hi... I'm reading about "Particle in a box", and I really can't seem to figure out what "Energy Levels" actually means. The thing in my book is a bit slacky, so I'm not quite sure that I understand. So could anyone maybe explain to me what the "Energy Levels" in "Particle in a box" is ...

Here's the equation I'm dealing with (it describes the energies that an electron in a hydrogen atom can occupy) : En = -RH(1/n2) The way I understood, the bigger n was the farther away the e- was from the nucleus, so it would have more potential energy. But n is in the denominator in...

Homework Statement Find the quantum numbers of the three lowest states that have the same energy. (Enter the quantum numbers for the three states in increasing order of n1, using the format n1,n2.) Homework Equations En1n2=[(hbar)^2/(2m)]*[(pi)^2/(L^2)]*[(n1)^2+(n2)^2] -...

How many energy levels the oxygen atom have? What energy (in eV) is required to get to each level. From my research i have only been able to find the first two levels, the first of which is a forbidden level. 1.=.98eV 2.=1.63eV

if a system is made of 3 atoms with no degeneracy with energy levels of fro example 0, e, 2e would it be safe to say that the system only has three microstate or will it be 2^3 microstates. if it is 2^3 can you please explain why?

Homework Statement Couple of questions State the De Broglie Wavelength for electrons with an energy of 50eV and the following is a picture is a diagram of the energy levels in Fe: http://www.freeimagehosting.net/image.php?eeddf8b465.jpg What is the energy required to ionise Fe in in...

Homework Statement Calculate the energy of the excited states of neon that is obtained by promoting one of the 2p electrons to the 3p shell. Use LS coupling, neglect spin-orbit interaction.Homework Equations The ground state cofiguration of Neon is 1s2, 2s2, 2p6. The Attempt at a Solution I...

All who are familiar with this famous experiment, know that multiples of 4.9 Volts are used, which is associated with the difference between the ground state and one that belong to the next level. The question is it related to this transition (only ?), rather than also to any of its multiplet ...

Homework Statement the wavelengths of the emission lines produced by the hydrogen atom are given by the formula: 1/lambda = 1.096776 x 10^-2 ((1/n2^2) - (1/n1^2)) nm^-1 (a) what are the wavelengths of the first two lines in the Balmer series, H-alpha and H-beta (involving transitions...

Homework Statement An absorption line at 6966 eV is known to come from a hydrogen-like ion. Calculate the likely atomic number of the element and hence identify it. (The ionization energy of hydrogen is 13.6eV.) Homework Equations not sure The Attempt at a Solution Using...

1. The diagram above shows the lowest four descrete energy levels of an atom. An electron in the n=4 state makes a transition to the n=2 state, emitting a photon of wavelength 121.9 nm (a)Calculate the energy level of the n=4 state. (b)Calbulate the momentum of the photon. The photon is then...

when an electron in an atom transitions from one shell to another does it do it instantly or is there a time when it is partially in one and partially in the other. in other words in a superposition of both states.

The energy levels of the hydrogen atom are given by En=-me4/(32\pi2\epsilonohbarn2, and are independant of the orbital angular momentum quantum number l, yet the Aufbau principle clealry implies that the energies of s, p, and d orbitals are different. Explain this apparent paradox and provide...

The energy levels of an atom are found by En=-13.6(Z/n)^2. Using this equation for xenon's ionization energy (Z=54) gets E=-39657.6eV. However in the Modern Physics ed3 textbook by Serway/Moses/Moyer on pg232 it has the ionization energy for xenon to be 12.127eV. Does anyone know what's...

Homework Statement Calculate the five (5) lowest energy levels for the hydrogen atom using Bohr's model. Homework Equations [tex]E_{n}= -2\xime^4 Z^2/h^2 n^2[\tex] = [tex]-(2.178\times10^18 J)Z^2/n^2[\tex] The Attempt at a Solution I get how to attempt it but how can there be...

Homework Statement a mass m is attached by a massless rod of length l to a pivot , which allows swing freely in a vertical plane under the influence of gravity .let the anglethita betweenthe rod the vertical . find the energy levels of the system? find the lowest -order correction to the...

To make my question clear, i'll talk about the hydrogen atom. The energy of the electron level is -13.6 eV / n^2. This means that the higher the orbit (n), the higher the energy. Still, I've always read that K-shell (n=1) electrons are strongest bound. Yet when an electron goes from a high...

Homework Statement Determine the four lowest energy levels, their degeneracies and quantum numbers of the wavefunctions for an electron in i) a rigid spherical box of 2 Angstrom radius and, ii) a rigid cubic box of the same volume Express the result in multiples of ħ2/(2m0a2), and...

Homework Statement Find the energy levels of a 2-spin 1/2 system with spinoperators S1 and S2 in an external magnetic field. The hamiltonian is of the form, H= A ( 1-\frac{2S_{1}}{h} . \frac{2 S_{2}}{h} )+ \frac{\mu B}{h}(S_{1,z}+S_{2,z}) The h is a h-bar, constants A, B, and S1 and S2 the...

the equation for the energy levels of a hydrogen-like atom is: Note that aμ, is approximately equal to a0, (the Bohr radius). If the mass of the nucleus is infinite then μ = me, and aμ = a0 but what is the equation for the energy levels of a helium or helium-like atom? I've heard...

I'm not going to follow the form because this is more of a hand-wavy question, I don't need it for a specific homework question but it's confusing me, I hope it's still okay to post here. I understand the splitting of energy levels due to j (dependant on l and s) and I understand that each of...

[solved] Energy levels of hydrogen in atomic units Homework Statement The effective potential for a hydrogen atom can be thought of as the actual potential plus the centrifugal repulsion, written as: V_{eff} = -\frac{1}{r} + \frac{l (l+1)}{2r^{2}} Remembering that you are working in atomic...

Homework Statement Say that an atom has the following energy levels: E1 = -9.20 eV E2 = -6.20 eV E3 = -3.70 eV E4 = -2.40 eV E5 = -1.60 eV Suppose atoms in the E2 level are exposed to incident radiation of wavelength 413.3 nm. Would this radiation be absorbed by atoms in the E2 level...

Homework Statement Predict the wavenumber (cm-1) position of infrared absorption due to fundamental vibration from v=0 to v=1 and 2nd overtone from v=0 to v=3. For a harmonic occilator whose frequency=8.00x1013 s. Homework Equations Energy expression for harmonic oscilator: Ev=...

Hi, I am trying to show that the energy levels for a finite potential well can be determined from these two equations\gamma = kcot(-ka/2) for B=0 and \gamma =-ktan(-ka/2) for A=0. I think it has something to do with substituting in the value of k, but I'm not quite sure where to start...any...

Homework Statement A model to describe the vibrations of atoms in a solid is to assume that the atoms are isotropic harmonic oscillators and that the vibrations are independent of the vibrations of the other atoms. We use this model to describe the entropy and heat capacity of Bohrium (B). The...

could anyone suggest the methods for solving the energy eigenvalues in a 1d finite potential well. are there any websites where we can directly get these instead of writing programs for rootfinding

I've been researching the change of energy levels of electrons when excited by photons. The equations I have found are... E_n = (-2pi^2 * m * e^4 * Z^2)/(n^2 * h^2) Which gives us the energy of the electron at a particular energy level. m = mass of electron e = electric charge of...

In many textbooks and sites of solid state physics energy levels for the free electron approximation in band calculations are displayed. The result is a collection of many parabolas, each of these parabolas being centered on a site of the reciprocal lattice. This is not anyway the picture that...

I know this question seems very simple which is why its bugging me so much: Why is the ground state energy not zero? A simple answer would be greatly appreciated

Homework Statement I'm just wondering how you get the energy levels from the Schrodinger equation. I've got the equation in the form H(psi) = E(psi) with all the H expanded out, I just don't know how to calculate the energy levels from it. Its probably something I did once know how to do, but...

Homework Statement An experiment is performed on a sample of atoms known to have a ground state of -5.0eV. The gas is illuminated with "white light" (400-700 nm). A spectrometer capable of analyzing radiation in this range is used to measure the radiation. The sample is observed to absorb...

hello i have a basic question regarding energy levels of electrons in atoms in bohr's model of the atom. From what I understand if an electron is in an energy level other than the ground state it can either absorb a photon equal to the difference of energy between its energy level and a higher...

The Formula for computing E(n) = -(Z^2)/(n^2) * Ei is fairly straight forward. Am I right in thinking this formula refers to the energy level of the atom with Z number of protons? This formula, what it yields at least, doesn't depend on the number of electrons the atom has? Also, when...

Hello, can someone explain how a line spectrum works. How do they provide evidence of energy levels in atoms? I would have thought that energy levels are to do with a different concept of Bands (Valence, Conduction) so how does a line spectrum provide evidence? :confused:

The question states: A system has energy levels uniformly spaced at 3.2x10^-10 J apart. Thepopulations of the energy levels are given by the Boltzmann distribution. What fraction of particles is in the ground state at T=300K. I know that the Boltzmann distribution is: _{}p*j=probability...

Pretty basic question: If energy levels (say, of an electron) are quantized, how is an interaction resolved wherein incoming energy (say, a photon) is not of an appropriate amount of energy to result in an appropriate response (say, moving from 1s to 2s in a simple hydrogen atom)? Suppose the...

Does anyone knows how to solve the following eigenvalue equation using matlab? so as to obtain the energy levels in a quantum well structure.. or does anyone has the codes or knows where to find the codes to do so? Eigenvalue equation: tan(sq_root(2mE/hbar^2)*(d/2)) = sq_root((V-E)/E) for...

Does anyone knows how to solve the following eigenvalue equation using matlab? so as to obtain the energy levels in a quantum well structure.. or does anyone has the codes or knows where to find the codes to do so? Eigenvalue equation: tan(sq_root(2mE/hbar^2)*(d/2)) = sq_root((V-E)/E)...

-------------------------------------------------------------------------------- 1. Homework Statement The electrons of a nelectronically-excited neutral magnesium atom have the coniguration 1s^2 2s^2 2p^6 3p 3d. Provide spec notation for the possible quant states of the atom as a whole...

Homework Statement Five electrons (with mass m) whose interaction can be neglected, are in the same 3-dim harmonic oscillatorpotential V(x,y,z) = \frac k2 (x^2 + y^2 + z^2) What is the ground state energy? Homework Equations The Attempt at a Solution I have the energy for the...

Homework Statement Determine the energy levels, their degeneracy and wave functions (in ket notation) of a particle with spin quantum number s =1 if the Hamiltonian is AS_x^2 + AS_y^2 + B S_z^2 where A and B are constants. The Attempt at a Solution' I've spent ages thinking about this...

Hi there. It is a fact that, historically, the Schrodinger Equation provides wrong energy levels for the Hydrogen Atom. The same is for The Relativistic Schrodinger Equation (hehe, this is not known by most of students, seek it in arxiv database, it was the original developed by Schrodinger...

A muonium is an atom consisting of a proton and a muon. A muon has the same charge as an electron but about 200x the mass of an electron. Conceptually, how does it make sense that the energy of the first orbit of a muonium is more negative than that of a hydrogen?

Hello, I really need help with this question. Continuum is when the proton/electrons exist in the continuous band of energy levels above the highest bound energy level of the atom. What can be said about the combined energies of the proton and electron is the hydrogen atom is in...

I was wondering how much kinetic energy needs to occur in atom until it emits a photon. For example if you accelerate an atom (like LINAC) what energy and speed is needed for it to emit energy? Or if you heat/vibrate up a copper plate and it starts to glow, what kinetic energy is needed for the...

Homework Statement What does the line spectrum reveal about the energy levels in an atom? The Attempt at a Solution The energy levels are quantized is that right?