What is Energy levels: Definition and 276 Discussions

A quantum mechanical system or particle that is bound—that is, confined spatially—can only take on certain discrete values of energy, called energy levels. This contrasts with classical particles, which can have any amount of energy. The term is commonly used for the energy levels of the electrons in atoms, ions, or molecules, which are bound by the electric field of the nucleus, but can also refer to energy levels of nuclei or vibrational or rotational energy levels in molecules. The energy spectrum of a system with such discrete energy levels is said to be quantized.
In chemistry and atomic physics, an electron shell, or principal energy level, may be thought of as the orbit of one or more electrons around an atom's nucleus. The closest shell to the nucleus is called the "1 shell" (also called "K shell"), followed by the "2 shell" (or "L shell"), then the "3 shell" (or "M shell"), and so on farther and farther from the nucleus. The shells correspond with the principal quantum numbers (n = 1, 2, 3, 4 ...) or are labeled alphabetically with letters used in the X-ray notation (K, L, M, N…).
Each shell can contain only a fixed number of electrons: The first shell can hold up to two electrons, the second shell can hold up to eight (2 + 6) electrons, the third shell can hold up to 18 (2 + 6 + 10) and so on. The general formula is that the nth shell can in principle hold up to 2(n2) electrons. Since electrons are electrically attracted to the nucleus, an atom's electrons will generally occupy outer shells only if the more inner shells have already been completely filled by other electrons. However, this is not a strict requirement: atoms may have two or even three incomplete outer shells. (See Madelung rule for more details.) For an explanation of why electrons exist in these shells see electron configuration.If the potential energy is set to zero at infinite distance from the atomic nucleus or molecule, the usual convention, then bound electron states have negative potential energy.
If an atom, ion, or molecule is at the lowest possible energy level, it and its electrons are said to be in the ground state. If it is at a higher energy level, it is said to be excited, or any electrons that have higher energy than the ground state are excited. If more than one quantum mechanical state is at the same energy, the energy levels are "degenerate". They are then called degenerate energy levels.

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  1. C

    Energy levels for the Hydrogen Atom

    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...
  2. E

    Energy levels of partciles in a 3D box

    Energy levels of a particle in cubic box with sides length a are: E= [(h^2 pi^2)/(2 m a^2)] * (nx^2 + ny^2 + nz^2) where nx, ny, nz are integers 0. If 10 electrons are placed in this box, what is the lowest possible total energy of all the electron? ......... I am finding this...
  3. C

    Emission & Energy levels of Hydrogen Problem

    Homework Statement What values of n are involved in the transition that gives the rise to the emission of a 388-nm photon from hydrogen gas? Homework Equations n=? wavelength = 388nm=3.88x10^-7 m R=1.097x10^7 m^-1 E= hc/ wavelength The Attempt at a Solution E= hc/...
  4. W

    Reflection and Quantization of Energy Levels

    From what I have been reading, the reflection of light from an object, like th eyellow color of sulfur is the same phenomenon as Rayleigh scattering. It seems that the electrons receive the incoming photon and are raised to a higher "virtual energy state." When they return to the ground state...
  5. H

    Bohr Energy Levels: Explaining the Concept & Equations

    Im doing a paper on Bohr Energy levels and I need help. The most I can find about the Bohr models are about its radius, velocities, and such. Is there any links that can explain to me clearly the whole concept of the energy levels and all equations attributed with it, if any.
  6. A

    Rotational energy levels of NH3

    I'm supposed to calculate the rotational energy levels of NH3, which is a symmetric rotator. The rotational energy levels are determined by the equation EJK = hcBJ(J+1) + hc(A-B)K^2, where J = 0, 1, 2,..., and K = 0, +/-1, +/-2,..., +/-J I don't quite get it. Are there a very limited set...
  7. B

    Energy levels and quantum numbers

    Hey guys, this isn't really homework but will help me on the exam and the homework too. We are working in the book, where you just get to electron structure, orbitals, configurations, etc. The part that I need help with is Quantum Numbers. My book has: n(principal energy levels)...
  8. Clausius2

    Rotation Energy Levels and Degeneracy.

    Solving the Schrödinger equation in spherical coordinates for a diatomic gas, one finds that the rotational energy leves are given by: \epsilon_l=K\cdot l(l+1) where l=0,1,2... is the rotational quantum number and K is a constant. It is said that each energy level shows a degeneracy of...
  9. A

    Photoelectric effect and energy levels in atoms

    Hi guys, I've got a little conceptual question here. I became a little confused after my exam. Firstly, I understand that in the photoelectric effect, the electrons either accept all or none of the energy from the particular incident photon and the photon must have a minimum frequency...
  10. E

    Primes as Energy levels (eigenvalues of a certain operator)

    "primes" as Energy levels...(eigenvalues of a certain operator) I have heard about the Riemann Zeta function to be some kind of physical partition function..my question is..could we consider primes as "Energy levels" (eigenvalues) of a certain partition function or operator?..in the form that...
  11. D

    Can we prove the existence of energy levels in an atom and why is it important?

    how can we directly demonstrate the existence of energy level within an atom??
  12. S

    Exploring Electron Energy Levels in a Mercury Atom

    The diagram shows some of the energy levels of an electron in a mercury atom. Level Q represents the lowest possible energy level. (a)Explain why a line spectrum results from an atom with such energy levels. (b) Calculate the energy change in joules when the electron moves from level...
  13. P

    Is it intuitive that the Energy levels

    For a 1D infinite well, The energy levels of an electron trapped inside is dependent on the length of the well. The longer the length, the less its energy will be for each state. I am aware how the formula is derived. The main form of the formula is a solution of Schrodinger's equation which...
  14. Pengwuino

    Electron Energy Levels in Nanowire | Approximation & Quantum #s

    The question is: So I have the equation to find the energy in an infinite well… \[ \begin{array}{l} E_n = n^2 \frac{{\pi ^2 (\hbar c)^2 }}{{2mc^2 L^2 }} \\ L = 2*10^3 nm \\ m = 5.11*10^5 eV \\ \hbar c = 197.33eV*nm \\ \end{array} \] Using this, I find n=1 to equal...
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    What happens to energy levels when electrons collide with an atom?

    Hi: a) an atoms electron is in the ground state (4.11*10^ -17). An electron with ke 5*10^-17 collides with the atom, what happens to the energy. b) What could subsequently happen to the electrons in the higher energy levels help please
  16. M

    Atomic Energy Levels: Ionization Energy Explained

    If an atom has a ground state energy level of -10.4eV then why is the ionisation energy 10.4 x 1.6 x 10^-19J ? Wouldn't that amount of energy just cause the electron to move to the highest energy level? I would have thought that the energy required to ionise the atom would be any value greater...
  17. V

    Quantised Energy Levels - Bohr model

    Hi Guys, Because of the absorbtion and emmision spectrum we know that atoms have quantised engergy levels. For example for an electron to jump from ground state to the first excited state in a Mecury atom, a photon with the exact energy of 4.9eV is required. Now my question is what would...
  18. Pengwuino

    Forces with just energy levels

    Hey guys I was wondering something probably very simple. Would I be able to determine the force something has been applying if I simply know its final kinetic energy and displacement? And I remember this one equation where something = Integral of F * dx. I swear I am forgetting everything...
  19. U

    Solve Electron Velocity to Find Initial Energy State

    My instructor was telling what would be on the upcoming test and he said something about:Given the velocity of an electron, the work function of a certain metal, and final energy level. We should be able to find the intial energy state. Sound pretty easy... to easy but here is what i was...
  20. H

    Locating Li (2+) Energy Levels - eV

    Where can I find the different energy levels (in eV) for Li (2+). I can't seem to find it in my textbook or on the internet.
  21. C

    Are there an infinite number of energy levels in an atom?

    Number of energy levels... I have been told that as were go further away from the nucleus, the energy levels get closer and closer together - do we get to a stage where we get no more? I assume we must because any energy above this causes the substance to ionise (ie the ionisation energy); but...
  22. turbo

    ZPE energy levels and cosmology.

    In a post below relating to Hawking radiation, Chronos linked to a page that expressed the existence of virtual pairs as a product of energy and time limited by the Heisenbug uncertainty principle: \Delta E\Delta t\geq\frac{\hbar}{2} This simplified view neatly illustrates one of the...
  23. R

    Calculating Electron Distribution in Hydrogen Atoms

    How do I calculate the number of electrons with a given energy in a sample of hydrogen atoms at a certain temperature? For example how many electrons would be in the n=2 level at 3 Kelvin? And does it matter whether or not hydrogen is gas or liquid or solid i.e is a different calculation...
  24. C

    What Spectral Series Appear in the Absorption Spectrum of Ground State Hydrogen?

    When radiation with a continuous spectrum is passed through a volume of hydrogen gas whose atomes are all in the ground state, which spectral series will be present in the resulting absorption spectrum? Where do i even start?
  25. B

    Rotational Energy Levels: Equally Spaced or Not?

    Are rotational energy levels of a molecule in general equally spaced or does the spacing increase with energy? How about a diatomic molecule; I have seen a derivation showing that the rotational levels in a diatomic molecule are equally spaced, but when drawn in an energy level diagram they...
  26. I

    Atomic Physics: Finding Energy Levels

    i am having problems with the atom model part of physics, i know that the current model stats the electron location is a probability and all, its when i get to the wavelength and the energy, with all the ionization and the spectrums that i don't understand... how can i find the energy level...
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