What is Energy level: Definition and 140 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. L

    Quantum energy level, calcualting total energy

    Homework Statement The element N has 7 electrons and 7 protons in the atom. An ion of N has all the electrons removed except 1, so it resembles a hydrogen atom with a nuclear charge of +7 e. E1(Hydrogen)= -13.6eV, r1(Hydrogen)= 5.29x10^-11m. k = 8.99x10^9 e = 1.6x10^-19 What is...
  2. H

    Stripping Oxygen Atoms of Electrons and Exciting to 4th Energy Level

    How could the Oxygen atom be stripped of at least 4 electrons and excited at the least to it's 4th energy level? I came across a device which claims to do this with Solid State Lasers (LED's) and a high voltage oscillating field...Just wondering how it would work since LED's only go to...
  3. C

    Atomic Energy Levels: Discrete vs Continuous

    Why in atom, ther r discrete energy level & not continous? and energy emitted, from atom is in quata only?please give me exat answer or a related websites. thanx in advance:redface:
  4. O

    First Energy Level Meaning: What Does It Mean?

    Hallo. my teacher wrote for the first energy level of a particle in a certain potential \Delta X \Delta P \approx \frac{\hbar}{2} exist. is it a general result for all energy level or there is specific meaning for the first energy level?
  5. U

    Probability that energy level is occupied

    The probability that an electron is in an excited state is given: P = e^-(energy difference)/kt and the probability that an energy level is occupied in semi conductors is: p = 1/ (e^(E-Ef)kt + 1) I know both are related to fermi-dirac statistics, which one is the...
  6. T

    Energy level of a 'protonium atom' (answer Check)

    Homework Statement In 1989, a new type of exotic atom called protonium was produced. Its structure is hydrogen-like, with the electron replaced by an antiproton. As the antiparticle of the proton, an antiproton has the same mass but opposite charge. In this problem, you should consider...
  7. B

    The Energy Levels and Frequency of a Particle: Calculating E, p, and KEmax

    Let me know where my logic is off...Much thanks! so a) For T1: Transition -54.4-(-13.6) = 40.8 eV For T2: -13.6 - (-6.04) = 7.56 eV T3=? n4 = n3 so -6.04 + 7.56 = 1.52 eV T3 = 1.52 eV n4 = 1.52 eV b) E = pc c = 6.63 x 10^-34 JS p = E/c p = 1.52/ 6.63 x 10^-34 JS p=2.29 x 10^33 c) KEmax =...
  8. M

    What Are the Energy Transitions in a Hypothetical Atom When Exposed to Light?

    1. Problem: The ground-state energy of a hypothetical atom is at -10.0eV. When these atoms, in the ground state, are illuminated with light, only the wavelengths of 207 nanometers and 146 nanometers are absorbed by the light atoms (1 nanometer = 10^-9meters). (a)Calculate the energies of...
  9. M

    He+ Energy Level Diagram: Interaction Effects?

    For drawing a energy level diagram of He+ (singly ionized He), do I draw it without the interaction of the "outside" electron, thus no effect of orbital angular quantum number l (because there's only 1 electron left). Or should I draw it with the interaction with the "outside" electron, leading...
  10. X

    Calculate energy level spectra?

    Recently, I read one book about quantum chaos. In it, random-matrix theory is used to describe the quantum signatures of chaos. Firstly, a new set of levels {E’1,E’2,E’3,...} is gained by unfolding the vibrational spectrum {E1,E2,E3,...}...
  11. M

    What is virtual energy level ?

    What is "virtual energy level"? What is "virtual energy level"?
  12. F

    Discrete energy level of schrodinger's equation

    Is it true that the discrete energy level of schrodinger's equation is due to boundary condition? What is the definition of boundary condition?
  13. F

    Looking for Layman's Physical Explanation for the lowest energy level in atoms

    I'm looking for a simple physical explanation of the lowest energy level in atoms, so I can provide a brief explanation to interested laypeople (not to mention just to help myself understand better). Does anybody want to take a crack at it? Or am I asking for the impossible? Since electron...
  14. F

    Looking for Layman's Physical Explanation for energy level in atoms

    I'm looking for a simple physical explanation of the discrete energy level in atoms, so I can provide a brief explanation to interested laypeople (not to mention just to help myself understand better). Does anybody want to take a crack at it? Or am I asking for the impossible?
  15. M

    How Can the Bohr Radius Help Calculate Energy Levels in Hydrogen?

    I'm currently reading a book which says that by knowing by the Bohr radius, in this example that of hydrogren, the energy of each orbit level can be calculated by deriving the appropriate Rydberg formula constant using Coulomb's law and Newtonian mechanics. Following their description I tried...
  16. T

    What was the energy level of the individual electron of hydrogen atom ( Η )?

    Homework Statement When a excited atom hydrogen ( wavelength ) de-energized emits energy and the electron returns to the fundamental situation. If the wavelength of the radiation emitted is 121 nm, to find what was the energy level of the individual electron of hydrogen atom ( Η ) in the...
  17. M

    Drawing Energy Level Diagrams for LiF Molecule: How To?

    how do you draw the energy level diagrams for LiF molecule? i know how to draw an energy level digram for Li but how do you do it for a molecule?
  18. M

    Where do the free electrons go and how do I find the energy level?

    Hi everyone I am new to quantum physics, [well any physics before this year] I am doing a course where I am asked to explain the sub atomic particles and why my chemical is like it like hydrogen. I have Carbon ^5+ ion, This makes it like hydrogen because there is one bound electron, I take...
  19. T

    Calculating the energy level and radius for a helium atom

    Homework Statement Calculate the energy and radius for each of the five lowest (n = 1,2,3,4,5) electron orbits in a Helium atom with only one electron. Enter the energy as a positive value in units of "eV" and the radius in units of "nm". Hint: The Helium nucleus has 2 protons so Z = 2 and...
  20. A

    Photon Energy Level: Why Green Light Falls Greater Energy Levels

    I understand that electrons are excited to higher energy levels. When they fall back levels, photons are emitted. If green light has wavelength 5.58 \times 10^{-7}m and red light has wavelength of 6.48 \times 10^{-7}m, why is it that when a photon is emitted from green light, it falls a...
  21. P

    Fermi energy level in terms of Na and Nd the concentration of dopant?

    fermi level?? is there any relation ( equation) that give the fermi energy level in terms of Na and Nd the concentration of dopant??
  22. M

    How Does a Taylor Expansion Improve Energy Estimates in Quantum Mechanics?

    Homework Statement in the first part of the problem we were told to estimate the lowest energy of a electron in a hydrogen atom for a certain orbital angular momentum l by evaluating the equation for effective potential at it's minimum. That is to say that for any given l the minimum energy...
  23. K

    Energy level jump in stimulated emision

    when some energy is suplied to an electron in a higher energy level E2 then how come it drops down to a lower energy level E1 but as per our knowlwdge of physics...it should jump to a higher energy level E3.
  24. V

    Energy Level Diagram Homework: Get Started!

    Homework Statement A monatomic gas is illuminated with visible light of wavelength 400nm. The gas is observed to absorb some of the light and subsequently emit visible light of both 400nm and 600nm. The initial state is -5.0 eV and the ionized atom (continuous energy levels) is 0 eV. a) Draw...
  25. K

    Energy Levels of Holes Explained

    Hi all, When we add 'B' impurities to 'Si', we get some discrete energy levels above the valence band (Energy level of holes!). I believe that the electrons from Si and B which are participating in the bond formation have different energy levels {Different orbits}. :confused: Correct me if...
  26. M

    Helium energy level diagram for ground and first excited states

    Consider a helium atom where both electrons are replaced by identical charged particles of spin-1. Ignoring the motion of the nucleus, the Hamiltonian is [see attachment 1] Construct an energy level diagram ( qualitatively ) for this "atom", when both particles are in the n=1 state, and...
  27. Q

    Energy Level question (quantam physics)

    Homework Statement The hydrogen spectrum contains a blue line with a wavelength of 434 nm. Photons of blue light are emitted when hydrogen's electron drops from the fifth engery level to a lower energy level. What is the lower energy level? Given Wavelength = 434 nm n1 = 5 n2 = ? R =...
  28. W

    Speed of Electrons and energy level

    Do electrons on higher energy levels have increased speed? This is confusing because if we look at it considering a centripetal force inversly proportional to the radius squared, the speed decreases. However since it's on a higher energy level, dosen't that mean the speed actually increases?
  29. W

    What is an electron energy level?

    I don't really know what it is... if someone could give me a link that explains what it is in details (but still in the realm of algebra), thank you.
  30. P

    Thermodynamics - How do I create energy level diagrams

    Are there any tutorials available that explain how to create an energy level diagram for related reactions? I've done a search on google but came up with nothing. Thanks.
  31. T

    Calculate Speed of Recoiling Hydrogen Atom After Transition to Ground State

    A hydrogen atom, initially at rest in the n = 4 quantum state, undergoes a transition to the ground state, emitting a photon in the process. What is the speed (in terms of m/s) of the recoiling hydrogen atom? anyone knows what to do? i calculated the energy difference and got 12.75 eV and i...
  32. F

    Why Six Lines in the Emission Spectrum?

    A sample of hydrogen gas absorbed sufficient energy to make the electrons jump to the 3rd excited energy level. It is said that 6 lines can be observed in the complete emmission spectrum as the atoms relax back to ground state. But why six though? When I check a diagrm of the spectrum, it...
  33. S

    Reality at what speed and what energy level

    When one attempts to understand REALITY it seems it eventually ends up connected to quantum mechanics. I do not think this is should be a factor when we are taking about a quark-based reality that exists at the temperatures, speeds and pressures found in the Earth's biosphere where life exists...
  34. T

    Average Occupancy of Lower Energy Level in Quantum Mechanics

    Hi, can anybody help me with this problem? I am currently study quantum mechanics and am confused with the BE staticstics. OK, say there are N Bosons in a system with two energy levels. The lower energy level is 0 and the upper level is E. The question is what is the average occupancy of the...
  35. X

    Free software to make energy level diagrams?

    Hi, I am currently doing the write up for a project (Mercury spectroscopy), and would like to put some energy level diagrams in, with the transitions being shown. Does anyone know any software (preferably free/open source) that could do this, or help? Or if there is a way to do it in latex...
  36. M

    Partial Energy Level Diagram for Hydrogen

    Does anyone know where I can find Partial Energy Level Diagram for Hydrogen? Thanxs.
  37. S

    Solving Kinetic Energy Level Problem with Bohr's Rules for B=10T

    I am having trouble with this problem, According to Bohr's quantization rules, the angular momentum of the electron in a given orbit is quantized according to P=nh. Find an equation for the possible kinetic energy levels for the electron orbiting in circles in a magnetic field, B. Calculate...
  38. ?

    Atomic radius - core charge vs energy level

    which one is more important in determining the size of an atom? for example - Berilium has a smaller radius than Lithium because it has a greater core charge, but what about Nitrogen vs Berilium? Nitrogen has a greater core charge, but it has electrons in the 2p subshell whereas Berilium only...
  39. bayan

    What determines the energy level of electrons in an atom?

    i searched the web for the energy level of electrons and i found out two figures. in one it said the the higher energy level electrons are further away from the nuclie and in the other one it said the higher energy level electrons are closer to nucli. i wanted to know which one is the right...
  40. wolram

    Time lag before the photon exhibits its new energy level?

    when a photon aquiers more energy is the transfer instant or is there a time lag before the photon exhibits its new energy level? sorry if this is old question but i cant find aswer.
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