Energy levels Definition and 267 Threads

Homework Statement A system has non-degenerate energy levels with energy \epsilon=(n+1/2)\hbar\omega where h-bar*omega=1.4*10^-23J and n positive integer zero what is the probability that it is in n=1 state with a heat bath of temperature 1K Homework Equations Z=\exp^\frac{-E_i}{k_b T} \\...

Question: "Write the quantum state for the following system of particles distributed over evenly spaced energy levels" The diagram (couldn't upload so hope its not too rough): 5 ---------------------- 4 ---------------------- 3 --------------X------- 2 ------X---X------X---- 1...

Homework Statement For a nitrogen molecule, calculate the lowest 2 energy levels and the characteristic temperature; Mass of molecule = 2.33x10-26[kg] Length of box = 10-9[m]Homework Equations E = n2.h2/8mL2 (n=1,2,3,...) Characteristic Temperature (Tc) -> when thermal energy kBT =...

Homework Statement Use the Bohr quantization rules to calculate the energy levels for a particle moving in a potential \begin{equation} V\left(r\right)= V_0 \left(\frac{r}{a}\right)^k \end{equation} where k is positive and very large. Sketch the form of the potential (done) and show that the...

Homework Statement A system has three energy levels, E1=0, E2 =1 and E3 = 2. In a certain state of the system, the probability that energy level 1 is occupied is 0.1, that energy level 2 is occupied is 0.8, and that energy level 3 is occupied is 0.1. Is this an equilibrium or a non-equilibrium...

If 4s orbital is in the 4th shell and 3d is in the 3rd shell and if the Principal Quantum Number is the direct indication of the amount of energy in of the electrons in that shell. Then, why according to Aufbau principle is 4s filled before 3d?

Hello Forum, I am confused about the concept of rotational energy levels, electronic energy levels, and vibrational levels. A graph of "Energy versus Distance" is usually presented and the various horizontal bars represent the energy levels, which are simply energy amounts. The energy of...

Hi. Is there a Hilbert Space for each energy level of a system? (And, in general, for every point in time?) I read in some book that if a equation for a problem accepts two different sets of wavefunction solutions (the case in question was the free particle and the sets of solutions in...

Hi all, I think I understand the concept of doping a group IV semiconductor material with a group V atom which has one extra valence electron to "donate" to the conduction band, or doping with a group III atom with one too few electrons which will "accept" an electron from the lattice and...

Suppose we have an interface between a semiconductor and a liquid electrolyte that contains a redox couple whose redox level is ER. Let Ecs be the edge of the semiconductor conduction band at the interface. Is Ecs-ER constant independent of the doping level in the semiconductor? The papers I...

What is the fundamental reason why the allowed energies of electrons are quantized? I did some research on the web before posting this and what I found seems to link this to the wave-like behaviour of electrons. That is, if electrons could hypothetically exist within the band gaps of the atom...

A new type of energy storage described which uses quantum way to store energy. ''Battenice''. http://techon.nikkeibp.co.jp/english/NEWS_EN/20140224/335902/ How exactly new energy levels could form under UV light? What do the mean?

Homework Statement Question 1) For absorption transitions: At n=1 the energy is 0.0eV (electron volts), at n=2 the energy is 3eV, at n=3=5eV Question 2) For emission transisions: At n=1 the energy is 0.0eV, n=2 energy is 3eV and at n=3 energy is 5eV Question 3) The atom has energy...

Homework Statement Imagine a box of unknown length with the only visible photons emitted have 620nm and 443nm. Identify the transitions and find the length of the box. Homework Equations wavelength = (8mc2L2)/(hc(ni2 - nf2) The Attempt at a Solution So I assume that I need to do is...

Homework Statement In the spectrum depicted bellow (see added picture) are spectral lines which resulted from emissions of a photon due to an electron decaying from a higher to a lower orbital in a Hydrogen-like atom (meaning- only one electron. No details about the nucleus) All lines in the...

Hello, I have a question regarding discrete energy levels of atoms. If electrons must inhabit certain energy levels, when they are excited up to a higher energy level, do they instantaneously jump to that level, or do they exist for some short time 'in between'? Furthermore, if the...

I understand that a photon can be 'absorbed' by an electron resulting in the electron jumping to a higher energy level within an atom. I also understand that a photon is emitted when an electron jumps to a lower energy level within an atom. But why does the electron jump to a lower energy...

If an electron gets excited from K to L shell, it will actually finish in the 2p subshell and then deexcite to 2s and 1s at the end, right?

Homework Statement At the bottom of this linked-to screen below is an equation for E = - ... = - .... = - 13.6 Z^2 / n^2 eV https://en.wikipedia.org/wiki/Bohr_model#Electron_energy_levelsHomework Equations I'm using the following values for the formula Z=1 n=1 K sub e = 8.987 x 10^9...

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...

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...

Homework Statement Okay, this one confuses me a bit: A particle is in a one-dimensional harmonic oscillator. At time t = 0 is given by its wave function ψ(x)=Nx3exp(-mωx2/2hbarred) a) At this point you measure the particle's energy. What measurement values ​​are available? Also...

Im wondering if all matter have discrete energy levels because electron and nuclei have discrete energy level. my thought is that as mass increases the separation of the energy levels decease, so because mass is so large at our scale the separation of energy levels is so infinitely small and see...

The problem: Find the relative numbers of hydrogen atoms in the chromosphere (T=5000 K) in the n=1, 2, 3, and 4 energy levels. Solution: The Boltzmann distribution of energies is n(ε)dε=\frac{2πN}{(πkT)^{3/2}}\sqrt{ε}e^{-ε/kT}dε So using this I calculated the ratio to be, 1 : 5.4 x 10^-11...

Why do electrons closer to nucleus have Less energy than electrons first away? Thanks

Homework Statement Find the energies of the second, third, fourth, and fifth levels for the three-dimensional cubical box. Which are degenerate? Homework Equations E = h^2/8mL^2 (n^2 sub x + n^2 sub y + n^2 sub z) The Attempt at a Solution The levels would be degenerate if one of...

I'm trying to find the energies for n levels of a 3D cubical box. Is there a general equation for this?

Regarding the relation between atoms' kinetic energy and the energy levels of their electrons upon excitation: In other words, what really happens when an atom is excited, either by radiation or by collisions, or otherwise ? What are the mechanisms under which the transferred energy goes to...

I'm currently working on a paper dealing with aspects of Franck-Hertz experiment, and encountered some puzzling descriptions and symbols in an article published in the past, as follows: 1. The article includes a simplified energy level scheme of mercury. This scheme includes also 7th & 8th...

We're just been learning about emission and absorption spectra and how these relate to the energy levels of electrons in an atom but its brought up 2 questions. 1. In chemistry our notes say that the energy change between levels gets smaller as you move out from the nucleus, however in...

Is the ground state always most probable state of the system? For example in problem of LHO or potential well?

Homework Statement Calculate the wavelength of the electromagnetic radiation emitted when an electron makes a transition from the third energy level, E3, to the lowest energy level, E1. Homework Equations E_n = \frac{\left (n_{x}^{2}+n_{y}^{2}+n_{z}^{2} \right) \pi^{2}...

Using the NIST database, I get the following energy levels for Ne^9. But there some some values missing (where the ? is shown). Any of you know these numbers, or where I can find them? Thanks. 1s2 1S 0 0.00000 1s2s 3S 1 7299940.0 1s2p 3P° 1 7379327.8 1s2s 1S 0 7382680.0...

Homework Statement In the hydrogen atom, the electron jumps from the n = 1 level to the n = 4 level. a. During this transition from n = 1 to n = 4, is a photon emitted or absorbed? b. What is the change in energy of the electron? c. State the transition in words. d. What is the wavelength...

Homework Statement So I'm stuck on part (ii) where we have to solve the rotational energy levels. Problem: http://screencast.com/t/9rZStJdG3wJ The answer is ii) 0, 3.84 cm-1, 11.52 cm-1 Homework Equations Equations: http://screencast.com/t/ubFEheGBz The Attempt at a Solution...

Homework Statement If E1≠E2≠E3, what are the new energy levels according to the second-order perturbation theory? Homework Equations H' = α(0 1 0) (1 0 1) (0 1 0) ψ1= (1) (0) (0) ψ2= (0)...

Homework Statement Determine the longest wavelength of light emitted from this atom. Homework Equations \lambda=\frac{hc}{E} The Attempt at a Solution I calculated the lowest energy of the light emitted: E_{min}=2.1(eV) Then the longest wavelength would be...

Based on Fermi distribution, if there are two electron energy levels with occupation possibility of ¼ and ¾, respectively, calculate energy difference between these two levels.

Homework Statement Now , I Will Begin by stating the calculation and i will post the query at the end. so here we begin, we know that If W is the work done by a conservative force, potential energy change is given by: ΔW= - ΔU ...(1) ie when work done by conservative force is positive...

what are atomic energy levels? are they different in principle to electron energy levels? how to visualize atomic energy levels in any substance (solid, liquid and gas) I have read that during the formation of bose einstein condensate all the atoms comes to ground level from high energy levels...

Homework Statement Find the eigenfunctions (with angular momentum 0) and the estimation of the 3 first energy levels (given g and a) of a particle in a exponential potential such as V = -ge-r/a Homework Equations Time independent Schrodinger equation (SE)The Attempt at a Solution Did a...

Homework Statement Particle of mass m in a 1D infinite square well is confined between 0 ≤ x ≤ a Given that the normalised energy eigenfunction of the system is: Un(x) = (\frac{2}{a})\frac{1}{2} sin (\frac{nx\pi}{a}) where n = 1, 2, 3... what are the corresponding energy levels...

Hey guys, A simplified diagram for the energy levels involved in Nd:YAG laser can be found here: http://upload.wikimedia.org/wikipedia/commons/6/69/YAG2.svg Two (short) questions: 1. Selection Rules The lasing transition happens between ^{4}F_{3/2} and ^{4}I_{11/2}. In the process J (of the...

Hello forum members... I have a problem in calculating the energy of rotational levels. Kindly help me...The question goes like this: A Caroussel(merry-go-round) of diameter 20 m and weight 1 ton( =1000 kg that is evenly distributed on the discs) rotates 10 times per minute. Calculate the...

Consider a universe where the intrinsic spin of the electron is S = 5/2, but all other parameters and Rules of Quantum Mechanics are the same. Find the degeneracy of the n=1 and n=2 levels of hydrogen. My understanding is that electrons in an atom have 4 quantum numbers n,l,ml,ms, and different...

Hello ! I had my fair share of quantum mechanics already :) But today I was wondering something, kind of odd I thought of this so late ... But do continuous energy levels really excist or is it just an approximation. I am asking this cause by my understanding energy is quantized, so...

Deduce the formula giving the energy levels in terms of n for a free particle in a box of length l, using the fact that only stationary waves can be occupied by the particle. - considering stationary waves, λ = 2l/n. (1) 1) Using E=hv/λ= hvn (2) And P = h/λ, v = h/m*λ, v = hn/2ml (3)...

hi, why are the energy levels of electrons in say a hydrogen atom -13.6ev, -3.4 eV etc ? i thought energy is always positive? what does the negative mean? thanks!

Homework Statement Determine the no. of energy levels with different values of total spin for a system of N particles with spin 1/2 The Attempt at a Solution Let f be the no. ways to get a z projection of spin, then f(\sigma )=Binomial(N,\frac{1}{2}N + \sigma) Where Binomial(a,b) is a chose b...

Exchange splitting of energy levels of a system?? Hey guys, I was just reading my QM book and came across this; Homework Statement Determine the exchange splitting of energy levels of a system of two electrons, regarding the interaction of the two electrons are a perturbation. My...