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| {{Refimprove|date=December 2009}}
| | == very slender ground rhizome. A full ten meters long == |
| [[Image:Energylevels.png|thumb|right|Energy levels for an [[electron]] in an [[atom]]: ground state and [[excited state]]s. After absorbing [[energy]], an electron may jump from the ground state to a higher energy excited state.]]
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| {{Quantum mechanics|cTopic=Fundamental concepts}}
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| A [[Quantum mechanics|quantum mechanical]] system or particle that is [[Bound state|bound]]—that is, confined spatially—can only take on certain discrete values of energy. This contrasts with [[Classical mechanics|classical]] particles, which can have any energy. These discrete values are called '''energy levels'''. The term is commonly used for the energy levels of [[electron]]s in [[atom]]s, [[ion]]s, or [[molecule]]s, which are bound by the electric field of the [[Atomic nucleus|nucleus]], but can also refer to energy levels of nuclei or [[Molecular vibration|vibrational]] or rotational energy levels in molecules. The energy spectrum of a system with such discrete energy levels is said to be [[Quantization (physics)|quantized]].
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| If the [[potential energy]] is set to zero at infinite distance from the atomic nucleus or molecule, the usual convention, then [[bound states|bound electron states]] have negative potential energy.
| | Some holes in exudes little fluorescence, presumably should be the purest fire is 'sexual' energy [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-1.html カシオ 腕時計 バンド] condensed from lotus bar.<br><br>below the green 'color' of the lotus, very slender ground rhizome. A full ten meters long, on top of the rhizome, densely dotted with tiny tentacles, these tentacles of the swing, Xiao Yan can clearly feel that they are in a state of almost greedily, crazy absorb [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-1.html カシオ 腕時計 バンド] the surrounding violent fire magma genus 'sexual' energy.<br><br>this little blue 'color' Lotus, it is so suspended in endless magma. That sea is like duckweed general. Wandering, the snake to lead the way if there is a fire. Ability to Xiao Yan, even a death wish, and that it is impossible in such a large area, look out and say such a relatively very [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-11.html casio 腕時計 メンズ] small green 'color' [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-7.html カシオソーラー時計] Lotus ...<br><br>'be careful, do not be stained with those tentacles, or your [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-1.html カシオ 時計 メンズ] body grudge will blink |
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| | <ul> |
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| | <li>[http://home.gzjtw.com.cn/plus/view.php?aid=12142 http://home.gzjtw.com.cn/plus/view.php?aid=12142]</li> |
| | |
| | <li>[http://ee.gain.tw/viewthread.php?tid=43850&extra= http://ee.gain.tw/viewthread.php?tid=43850&extra=]</li> |
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| | <li>[http://www.shuiniuer.com/forum.php?mod=viewthread&tid=410486&fromuid=55594 http://www.shuiniuer.com/forum.php?mod=viewthread&tid=410486&fromuid=55594]</li> |
| | |
| | </ul> |
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| 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 state|excited]]'', or any electrons that have higher energy than the ground state are ''excited''. If more than one quantum mechanical [[Quantum state|state]] is at the same energy, the energy levels are "degenerate". They are then called [[degenerate energy level]]s.
| | == hehe smiles. == |
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| ==Explanation==
| | The end of that pool of blood to the strong culture within my family, but now it seems, still have long-term perspective ah. '<br><br>words down, stone is a sigh, voice [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-10.html カシオの時計] among the slightest trace of unwilling, guarding Baoshan but did not use, like that feeling, just the most depressing place.<br><br>......<br><br>crater, said the figure stands on a high slope, has promised some quarrel between faint sound came.<br><br>'I said, you also stop arguing, places and only one, and we have nine people here, but, according to me, can be ranked in accordance with the strength [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-15.html カシオ 腕時計 激安] rating, the strength of the weakest, automatic withdrawal, how?' a forehead Inter looks a little bit cold white man, his eyes swept the [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-13.html casio 腕時計 edifice] crowd, the last meal in Nalan sweet body, hehe smiles.<br><br>hear his words, [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-7.html カシオソーラー時計] and the remaining few people of God, [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-14.html casio 腕時計 phys] 'color' is a moving, but did not speak, as for the parties Nalan sweet, it is |
| Quantized energy levels result from the relation between a particle's energy and its [[wavelength]]. For a confined particle such as an electron in an atom, the [[wave function]] has the form of [[standing wave]]s. Only [[stationary state]]s with energies corresponding to integral numbers of wavelengths can exist; for other states the waves interfere destructively, resulting in zero [[probability amplitude|probability density]]. Elementary examples that show mathematically how energy levels come about are the [[particle in a box]] and the [[quantum harmonic oscillator]].
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| | <li>[http://1024sy.com/bbs/home.php?mod=space&uid=37475 http://1024sy.com/bbs/home.php?mod=space&uid=37475]</li> |
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| | <li>[http://andromeda.rutgers.edu/~jlynch/cgi-bin/18th.cgi http://andromeda.rutgers.edu/~jlynch/cgi-bin/18th.cgi]</li> |
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| | <li>[http://www.ruijiexiang.com/home.php?mod=space&uid=92261 http://www.ruijiexiang.com/home.php?mod=space&uid=92261]</li> |
| | |
| | </ul> |
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| ==History== | | == the removal of fetish or spirit 'medicine' == |
| The first evidence of quantized energy levels in atoms was the observation of [[spectral lines]] in light from the sun in the early 1800s by [[Joseph von Fraunhofer]] and [[William Hyde Wollaston]]. The theoretical explanation for energy levels was discovered in 1913 by Danish physicist [[Niels Bohr]] in the [[Bohr theory]] of the atom. The modern quantum mechanical theory, based on the [[Schrödinger equation]], was advanced by [[Erwin Schrödinger]] and [[Werner Heisenberg]] in 1926.
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| ==Atoms== | | Then removed the Ching Lin, but as long as the time to give it the millennium, they [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-1.html カシオ スタンダード 腕時計] can grow a new Ching Lin, and even if you cut the root of this stems removed the words ... that here Firelight Qinglian, perhaps it will always fall into extinction, and want to form again, I'm afraid, very difficult ... '' medicine 'old eyes stared at constantly rocking roots cut, exclaimed in refining' medicine 'sector, the removal of fetish or [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-12.html 腕時計 メンズ casio] spirit 'medicine', the destruction of its roots, is the most let people get angry one thing, after all, fetish generate the conditions, it is too harsh.<br><br>hear the 'medicine' old sigh, Xiao Yan stunned for a moment. Also nodded slightly. Will be incorporated into the hands of the Carolina blue foot into his eyes glanced at it once again cut the long roots. Then turned to the 'medicine' old before his eyes staring at the glowing hi Italy Ching Lin, face to [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-5.html カシオ 腕時計 スタンダード] covet.<br><br>'one, two, three ... there is a total of [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-8.html カシオ レディース 電波ソーラー腕時計] eleven fire lotus, [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-12.html 電波腕時計 カシオ] Oh, lucky or very good ah |
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| | <li>[http://www.zhaook.com/bbs/home.php?mod=space&uid=30228 http://www.zhaook.com/bbs/home.php?mod=space&uid=30228]</li> |
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| | <li>[http://forums.carbonblu.com/activity http://forums.carbonblu.com/activity]</li> |
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| | <li>[http://bbs.allfuntours.com/forum.php?mod=viewthread&tid=25454 http://bbs.allfuntours.com/forum.php?mod=viewthread&tid=25454]</li> |
| | |
| | </ul> |
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| ===Intrinsic energy levels=== | | == even even his body == |
| In the formulas for energy of electrons at various levels given below in an atom, the zero point for energy is set when the electron in question has completely left the atom, i.e. when the electron's [[principal quantum number]] {{math|1=''n'' = ∞}}. When the electron is bound to the atom in any closer value of {{mvar|n}}, the electron's energy is lower and is considered negative.
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|
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| ====Orbital state energy level: atom/ion with nucleus + one electron====
| | Direct is to get the Giants [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-2.html casio 腕時計 デジタル] back again and again, even even his body, are faint become nothingness up.<br><br>'bang bang!'<br><br>contains the destructive power of the waves constantly fire spread open, the temperature directly terror is to get all the moisture [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-12.html 電波腕時計 カシオ] evaporate instantly this piece of heaven and earth, and in the successive waves of fire bombardment, that giant body is getting unreal, to get Then, finally, in a muffled voice, the burst open into [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-0.html カシオ 時計 価格] a nothingness<br><br>'Puchi!'<br><br>'how could that be?'<br><br>giant burst open, and that the king is an evil demon took blood spray in the eyes of the [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-8.html 時計 メンズ カシオ] emergence of a touch of disbelief, 'color', but now is no time aghast that contains the force of the fire to destroy the waves, after the Giants in Zhentui also spread into his lightning came, if it was hit, I am afraid to spend [http://www.ispsc.edu.ph/nav/japandi/casio-rakuten-11.html カシオ腕時計 g-shock] the evil demon king will be turned into an instant annihilation |
| Assume there is one electron in a given [[atomic orbital]] in a [[Hydrogen-like atom|hydrogen-like atom (ion)]]. The energy of its state is mainly determined by the electrostatic interaction of the (negative) electron with the (positive) nucleus. The energy levels of an electron around a nucleus are given by :
| | 相关的主题文章： |
| : <math>E_n = - h c R_{\infty} \frac{Z^2}{n^2} </math> | | <ul> |
| (typically between 1 [[electronvolt|eV]] and 10<sup>3</sup> eV),
| | |
| where {{math|R<sub>∞</sub>}} is the [[Rydberg constant]], {{mvar|Z}} is the [[atomic number]], {{mvar|n}} is the [[principal quantum number]], {{math|''h''}} is [[Planck's constant]], and {{math|''c''}} is the [[speed of light]]. For hydrogen-like atoms (ions) only, the Rydberg levels depend only on the principal quantum number {{mvar|n}}.
| | <li>[http://mari.spzgh.org/blog.cgi http://mari.spzgh.org/blog.cgi]</li> |
| | | |
| This equation is obtained from combining the [[Rydberg formula#Rydberg formula for any hydrogen-like element|Rydberg formula for any hydrogen-like element]] (shown below) with {{math|1=''E'' = ''h ν'' = ''h c / λ''}} assuming that the [[principal quantum number]] {{mvar|n}} above = {{math|''n''<sub>1</sub>}} in the Rydberg formula and {{math|1=''n''<sub>2</sub> = ∞}} (principal quantum number of the energy level the electron descends from, when emitting a [[photon]])). The [[Rydberg formula]] was derived from empirical [[Emission spectrum|spectroscopic emission]] data.
| | <li>[http://www.lsg365.com/forum.php?mod=forumdisplay&fid=2&filter=sortid&sortid=1 http://www.lsg365.com/forum.php?mod=forumdisplay&fid=2&filter=sortid&sortid=1]</li> |
| :<math>\frac{1}{\lambda} = RZ^2 \left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right)</math>
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| An equivalent formula can be derived quantum mechanically from the time-independent [[Schrödinger equation]] with a kinetic energy [[Hamiltonian operator]] using a [[wave function]] as an [[eigenfunction]] to obtain the energy levels as [[Eigenvalue#Schrödinger equation|eigenvalues]], but the Rydberg constant would be replaced by other fundamental physics constants.
| | <li>[http://www.qy-qunying.com/plus/feedback.php?aid=60 http://www.qy-qunying.com/plus/feedback.php?aid=60]</li> |
| | | |
| ====Multi-electron atoms include electrostatic interaction of an electron with other electrons====
| | </ul> |
| If there is more than one electron around the atom, electron-electron-interactions raise the energy level. These interactions are often neglected if the spatial overlap of the electron wavefunctions is low.
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| For multi-electron atoms, interactions between electrons cause the preceding equation to be no longer accurate as stated simply with {{mvar|Z}} as the [[atomic number]]. A simple (though not complete<!--
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| **Note** what is hinted at here is that screening is only a mean-field effect. Electron-electron interactions also lead to dynamic correlation-exchange energy shifts. If strong enough, correlation-exchange can prevent us from being able to look at the atom in terms of orbitals at all, leaving only the consideration of many-body states. However, in the case of atoms the correlation-exchange seems to be a small perturbation (usually).
| |
| -->) way to understand this is as a [[shielding effect]], where the outer electrons see an effective nucleus of reduced charge, since the inner electrons are bound tightly to the nucleus and partially cancel its charge. This leads to an approximate correction where {{mvar|Z}} is substituted with an [[effective nuclear charge]] symbolized as {{math|''Z''<sub>eff</sub>}} that depends strongly on the principle quantum number.
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| : <math>E_{n,l} = - h c R_{\infty} \frac{{Z_{\rm eff}}^2}{n^2} \ </math>
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| In such cases, the orbital types (determined by the [[azimuthal quantum number]] {{mvar|{{ell}}}}) as well as their levels within the molecule affect {{math|''Z''<sub>eff</sub>}} and therefore also affect the various atomic electron energy levels. The [[Aufbau principle]] of filling an atom with electrons for an [[electron configuration]] takes these differing energy levels into account. For filling an atom with electrons in the [[ground state]], the lowest energy levels are filled first and consistent with the [[Pauli exclusion principle]], the [[Aufbau principle]], and [[Hund's rule]].
| |
| | |
| ====Fine structure splitting====
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| [[Fine structure]] arises from relativistic kinetic energy corrections, [[spin–orbit coupling]] (an electrodynamic interaction between the electron's [[spin (physics)|spin]] and motion and the nucleus's electric field) and the Darwin term (contact term interaction of {{serif|s}} shell{{which|reason=of which principal q.n.?|date=January 2014}} electrons inside the nucleus). These affect the levels by a typical order of magnitude of 10<sup>−3</sup> eV.
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| ====Hyperfine structure====
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| {{Main|Hyperfine structure}}
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| This even finer structure is due to electron–nucleus [[spin–spin interaction]], resulting in a typical change in the energy levels by a typical order of magnitude of 10<sup>−4</sup> eV.
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| ===Energy levels due to external fields===
| |
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| ====Zeeman effect====
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| {{Main|Zeeman effect}}
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| There is an interaction energy associated with the magnetic dipole moment, {{math|'''μ'''<sub>''L''</sub>}}, arising from the electronic orbital angular momentum, {{math|''L''}}, given by
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| :<math>U = -\boldsymbol{\mu}_L\cdot\mathbf{B}</math> | |
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| with
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| :<math>-\boldsymbol{\mu}_L = \dfrac{e\hbar}{2m}\mathbf{L} = \mu_B\mathbf{L}</math>.
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| Additionally taking into account the magnetic momentum arising from the electron spin.
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| Due to relativistic effects ([[Dirac equation]]), there is a magnetic momentum, {{math|'''μ'''<sub>''S''</sub>}}, arising from the electron spin
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| :<math>-\boldsymbol{\mu}_S = -\mu_B g_S \mathbf{S}</math>,
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| with {{math|''g''<sub>''S''</sub>}} the electron-spin [[g-factor (physics)|g-factor]] (about 2), resulting in a total magnetic moment, {{math|'''μ'''}},
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| :<math>\boldsymbol{\mu} = \boldsymbol{\mu}_L + \boldsymbol{\mu}_S</math>.
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| The interaction energy therefore becomes
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| :<math>U_B = -\boldsymbol{\mu}\cdot\mathbf{B} = \mu_B B (M_L + g_S M_S)</math>.
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| ====Stark effect====
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| {{Main|Stark effect}}
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| ==Molecules==
| |
| [[Chemical bond]]s between atoms in a molecule form because they make the situation more stable for the involved atoms, which generally means the sum energy level for the involved atoms in the molecule is lower than if the atoms were not so bonded. As separate atoms approach each other to [[Covalent bond|covalently bond]], their [[Atomic orbital|orbitals]] affect each other's energy levels to form bonding and antibonding [[molecular orbital]]s. The energy level of the bonding orbitals is lower, and the energy level of the antibonding orbitals is higher. For the bond in the molecule to be stable, the covalent bonding electrons occupy the lower energy bonding orbital, which may be signified by such symbols as σ or π depending on the situation. Corresponding anti-bonding orbitals can be signified by adding an asterisk to get σ* or π* orbitals. A [[non-bonding orbital]] in a molecule is an orbital with electrons in outer [[Electron shell|shell]]s which do not participate in bonding and its energy level is the same as that of the constituent atom. Such orbitals can be designated as '''n''' orbitals. The electrons in an n orbital are typically [[lone pair]]s.
| |
| <ref name="chemguide">[http://www.chemguide.co.uk/analysis/uvvisible/theory.html#top UV-Visible Absorption Spectra]</ref>
| |
| In polyatomic molecules, different vibrational and rotational energy levels are also involved.
| |
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| Roughly speaking, a '''molecular energy state''', i.e. an [[eigenstate]] of the [[molecular Hamiltonian]], is the sum of the electronic, vibrational, rotational, nuclear, and translational components, such that:
| |
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| :<math>E = E_{\rm{electronic}}+E_{\rm{vibrational}}+E_{\rm{rotational}}+E_{\rm{nuclear}}+E_{\rm{translational}}\,</math>
| |
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| where {{math|''E''<sub>electronic</sub>}} is an [[eigenvalue]] of the [[electronic molecular Hamiltonian]] (the value of the [[potential energy surface]]) at the [[molecular geometry|equilibrium geometry of the molecule]].
| |
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| The molecular energy levels are labelled by the [[molecular term symbol]]s.
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| The specific energies of these components vary with the specific energy state and the substance.
| |
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| In [[molecular physics]] and [[quantum chemistry]], an '''energy level''' is a quantized energy of a [[bound state|bound]] [[Quantum state|quantum mechanical state]].
| |
| | |
| ===Energy level diagrams===
| |
| There are various types of energy level diagrams for bonds between atoms in a molecule.
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| ;Examples
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| :''[[Molecular orbital diagram]]s'', ''[[Jablonski diagram]]s'', and ''[[Franck–Condon principle|Franck–Condon]]'' diagrams.
| |
| | |
| ==Energy level transitions==
| |
| {{further|atomic electron transition|molecular electron transition}}
| |
| [[File:AtomicLineAb.png|thumb|right|200px|An increase in energy level from {{math|''E''<sub>1</sub>}} to {{math|''E''<sub>2</sub>}} resulting from absorption of a photon represented by the red squiggly arrow, and whose energy is {{math|''[[Planck constant|h]] [[Frequency|ν]]''}}]][[File:AtomicLineSpEm.png|thumb|left|200px|A decrease in energy level from {{math|''E''<sub>2</sub>}} to {{math|''E''<sub>1</sub>}} resulting in emission of a photon represented by the red squiggly arrow, and whose energy is {{math|''h ν''}}]]
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| Electrons in atoms and molecules can change (make ''[[Atomic electron transition|transitions]]'' in) energy levels by emitting or absorbing a [[photon]] (of [[electromagnetic radiation]]) whose energy must be exactly equal to the energy difference between the two levels.
| |
| Electrons can also be completely removed from a chemical species such as an atom, molecule, or [[ion]]. Complete removal of an electron from an atom can be a form of [[ionization]], which is effectively moving the electron out to an [[Atomic orbital|orbital]] with an infinite [[principal quantum number]], in effect so far away so as to have practically no more effect on the remaining atom (ion). For various types of atoms, there are 1st, 2nd, 3rd, etc. [[Ionization energy|ionization energies]] for removing the 1st, then the 2nd, then the 3rd, etc. of the highest energy electrons, respectively, from the atom originally in the [[ground state]]. Energy in corresponding opposite quantities can also be released, sometimes in the form of photon energy, when electrons are added to positively charged ions or sometimes atoms. Molecules can also undergo transitions in their [[Molecular vibration|vibrational]] or rotational energy levels. Energy level transitions can also be nonradiative, meaning emission or absorption of a photon is not involved.
| |
| | |
| 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 state|excited]]'', or any electrons that have higher energy than the ground state are ''excited''. Such a species can be excited to a higher energy level by [[light absorption|absorbing]] a photon whose energy is equal to the energy difference between the levels. Conversely, an excited species can go to a lower energy level by spontaneously emitting a photon equal to the energy difference. A photon's energy is equal to [[Planck's constant]] ({{math|''h''}}) times its [[frequency]] ({{mvar|ν}}) and thus is proportional to its frequency, or inversely to its [[wavelength]] ({{mvar|λ}}).<ref name="chemguide" />
| |
| :{{math|1=Δ''E'' = ''h ν'' = ''h c / λ''}},
| |
| since {{math|''c''}}, the speed of light, equals to {{math|''ν λ''}}<ref name="chemguide" /></center>
| |
| | |
| Correspondingly, many kinds of [[spectroscopy]] are based on detecting the frequency or wavelength of the emitted or [[Absorption spectroscopy|absorbed]] photons to provide information on the material analyzed, including information on the energy levels and electronic structure of materials obtained by analyzing the [[spectrum]].
| |
| | |
| An asterisk is commonly used to designate an excited state. An electron transition in a molecule's bond from a ground state to an excited state may have a designation such as σ → σ*, π → π*, or n → π* meaning excitation of an electron from a σ bonding to a σ [[antibonding]] orbital, from a π bonding to a π antibonding orbital, or from an n non-bonding to a π antibonding orbital.
| |
| <ref>[http://www.chem.ucla.edu/~bacher/UV-vis/uv_vis_tetracyclone.html.html Theory of Ultraviolet-Visible (UV-Vis) Spectroscopy]</ref>
| |
| <ref name="chemguide" />
| |
| Reverse electron transitions for all these types of excited molecules are also possible to return to their ground states, which can be designated as σ* → σ, π* → π, or π* → n.
| |
| | |
| A transition in an energy level of an electron in a molecule may be combined with a [[vibrational transition]] and called a [[vibronic transition]]. A vibrational and [[rotational transition]] may be combined by [[rovibrational coupling]]. In [[rovibronic coupling]], electron transitions are simultaneously combined with both vibrational and rotational transitions. Photons involved in transitions may have energy of various ranges in the electromagnetic spectrum, such as [[X-ray]], [[ultraviolet]], [[visible light]], [[infrared]], or [[microwave]] radiation, depending on the type of transition. In a very general way, energy level differences between electronic states are larger, differences between vibrational levels are intermediate, and differences between rotational levels are smaller, although there can be overlap. [[Translation (physics)|Translational]] energy levels are practically continuous and can be calculated as kinetic energy using [[classical mechanics]].
| |
| | |
| Higher [[temperature]] causes fluid atoms and molecules to move faster increasing their translational energy, and thermally excites molecules to higher average amplitudes of vibrational and rotational modes (excites the molecules to higher internal energy levels). This means that as temperature rises, translational, vibrational, and rotational contributions to molecular [[heat capacity]] let molecules absorb heat and hold more [[internal energy]]. [[Conduction (heat)|Conduction of heat]] typically occurs as molecules or atoms collide [[Heat transfer|transferring the heat]] between each other. At even higher temperatures, electrons can be thermally excited to higher energy orbitals in atoms or molecules. A subsequent drop of an electron to a lower energy level can release a photon, causing a possibly colored glow.
| |
| | |
| An electron farther from the nucleus has higher potential energy than an electron closer to the nucleus, thus it becomes less bound to the nucleus, since its potential energy is negative and inversely dependent on its distance from the nucleus.<ref>http://chemed.chem.wisc.edu/chempaths/GenChem-Textbook/Electron-Density-and-Potential-Energy-899.html</ref>
| |
| | |
| ==Crystalline materials== | |
| [[Crystalline solid]]s are found to have [[energy band]]s, instead of or in addition to energy levels. Electrons can take on any energy within an unfilled band. At first this appears to be an exception to the requirement for energy levels. However, as shown in [[band theory]], energy bands are actually made up of many discrete energy levels which are too close together to resolve. Within a band the number of levels is of the order of the number of atoms in the crystal, so although electrons are actually restricted to these energies, they appear to be able to take on a continuum of values. The important energy levels in a crystal are the top of the [[valence band]], the bottom of the [[conduction band]], the [[Fermi level]], the [[vacuum level]], and the energy levels of any [[defect states]] in the crystal.
| |
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| ==See also== | |
| * [[Perturbation theory (quantum mechanics)]]
| |
| * [[Computational chemistry]]
| |
| * [[Spectroscopy]]
| |
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| ==References==
| |
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| <references/> | |
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| {{DEFAULTSORT:Energy Level}}
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| [[Category:Chemical properties]] | |
| [[Category:Atomic physics]]
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| [[Category:Molecular physics]]
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| [[Category:Quantum chemistry]]
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| [[Category:Theoretical chemistry]]
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| [[Category:Computational chemistry]]
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| [[Category:Spectroscopy]]
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| [[pl:Powłoka elektronowa]]
| |
very slender ground rhizome. A full ten meters long
Some holes in exudes little fluorescence, presumably should be the purest fire is 'sexual' energy カシオ 腕時計 バンド condensed from lotus bar.
below the green 'color' of the lotus, very slender ground rhizome. A full ten meters long, on top of the rhizome, densely dotted with tiny tentacles, these tentacles of the swing, Xiao Yan can clearly feel that they are in a state of almost greedily, crazy absorb カシオ 腕時計 バンド the surrounding violent fire magma genus 'sexual' energy.
this little blue 'color' Lotus, it is so suspended in endless magma. That sea is like duckweed general. Wandering, the snake to lead the way if there is a fire. Ability to Xiao Yan, even a death wish, and that it is impossible in such a large area, look out and say such a relatively very casio 腕時計 メンズ small green 'color' カシオソーラー時計 Lotus ...
'be careful, do not be stained with those tentacles, or your カシオ 時計 メンズ body grudge will blink
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hehe smiles.
The end of that pool of blood to the strong culture within my family, but now it seems, still have long-term perspective ah. '
words down, stone is a sigh, voice カシオの時計 among the slightest trace of unwilling, guarding Baoshan but did not use, like that feeling, just the most depressing place.
......
crater, said the figure stands on a high slope, has promised some quarrel between faint sound came.
'I said, you also stop arguing, places and only one, and we have nine people here, but, according to me, can be ranked in accordance with the strength カシオ 腕時計 激安 rating, the strength of the weakest, automatic withdrawal, how?' a forehead Inter looks a little bit cold white man, his eyes swept the casio 腕時計 edifice crowd, the last meal in Nalan sweet body, hehe smiles.
hear his words, カシオソーラー時計 and the remaining few people of God, casio 腕時計 phys 'color' is a moving, but did not speak, as for the parties Nalan sweet, it is
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the removal of fetish or spirit 'medicine'
Then removed the Ching Lin, but as long as the time to give it the millennium, they カシオ スタンダード 腕時計 can grow a new Ching Lin, and even if you cut the root of this stems removed the words ... that here Firelight Qinglian, perhaps it will always fall into extinction, and want to form again, I'm afraid, very difficult ... medicine 'old eyes stared at constantly rocking roots cut, exclaimed in refining' medicine 'sector, the removal of fetish or 腕時計 メンズ casio spirit 'medicine', the destruction of its roots, is the most let people get angry one thing, after all, fetish generate the conditions, it is too harsh.
hear the 'medicine' old sigh, Xiao Yan stunned for a moment. Also nodded slightly. Will be incorporated into the hands of the Carolina blue foot into his eyes glanced at it once again cut the long roots. Then turned to the 'medicine' old before his eyes staring at the glowing hi Italy Ching Lin, face to カシオ 腕時計 スタンダード covet.
'one, two, three ... there is a total of カシオ レディース 電波ソーラー腕時計 eleven fire lotus, 電波腕時計 カシオ Oh, lucky or very good ah
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even even his body
Direct is to get the Giants casio 腕時計 デジタル back again and again, even even his body, are faint become nothingness up.
'bang bang!'
contains the destructive power of the waves constantly fire spread open, the temperature directly terror is to get all the moisture 電波腕時計 カシオ evaporate instantly this piece of heaven and earth, and in the successive waves of fire bombardment, that giant body is getting unreal, to get Then, finally, in a muffled voice, the burst open into カシオ 時計 価格 a nothingness
'Puchi!'
'how could that be?'
giant burst open, and that the king is an evil demon took blood spray in the eyes of the 時計 メンズ カシオ emergence of a touch of disbelief, 'color', but now is no time aghast that contains the force of the fire to destroy the waves, after the Giants in Zhentui also spread into his lightning came, if it was hit, I am afraid to spend カシオ腕時計 g-shock the evil demon king will be turned into an instant annihilation
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