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Energy level interleaving

Chemical concept
Energy level interleaving means Electronic layer The energy of some orbits with large numbers is lower than Number of electronic layers The phenomenon of smaller energies in certain orbits.
Chinese name
Energy level interleaving
Nature
science
Category
Chemistry
Energy level diagram proposer
Linus Carl Pauling

give an example

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Transitional element Outer layer of scandium Electronic layout 4s^ two 3d^ one When electrons are lost, 3d electrons should be lost first according to energy level interleaving, which becomes 4s^ two 3d^ zero , and from Atomic spectrum The experiment shows that the electrons on the 4s are lost first to become 4s^ one 3d^ one
This is because the existence of 3d electrons weakens the attraction of 4s electrons in the atomic nucleus and is easy to lose. When the transition elements are ionized, they generally lose ns electrons first, but some, such as yttrium, also lose (n-1) d electrons first. The order of energy level interleaving is not absolutely constant Atomic number In large atoms, the energy of the 3d orbit may be higher than that of the 4s orbit.
Similar to 3d and 4s Nucleus The phenomenon that the arrangement of external electrons on the energy level is staggered is called energy level interleaving [1]

Law summary

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1: The rule that electrons fill the outermost ns first, then (n-1) d in the secondary outer layer, or even (n-2) f in the penultimate layer is called“ Energy level interleaving
2: If Principal quantum number N and the angular quantum number l are different. Although the energy level is basically determined by the size of n, sometimes it is high Electronic layer low Sublayer The energy of (e.g. 4s) is lower than that of the high sublayer (e.g. 3d) in some low electron layers Energy level interleaving Energy level interleaving is due to Nuclear charge Increase, the gravity of the nucleus electron increases, and the energy of each sublayer decreases, but the decrease amplitude is different. Energy level interleaving affects the distribution of electrons in atoms. "
III Energy level interleaving Means Number of electronic layers The energy of some larger orbits is lower than that of some smaller electron layers Orbital energy Phenomenon. If the energy of 4s is smaller than that of 3d, the electrons should be filled for 4s before filling the 3d orbit. Transitional element Outer layer of scandium Electronic layout It is 4s23d1. When electrons are lost, 3d electrons should be lost first according to the energy level interleaving, becoming 4s23d0 Atomic spectrum The experiment shows that the electrons on the 4s are lost first and become 4s13d1. This is because the existence of 3d electrons weakens the attraction of 4s electrons in the atomic nucleus and is easy to lose. When the transition elements are ionized, they generally lose ns electrons first, but some, such as yttrium, also lose (n-1) d electrons first. The order of energy level interleaving is not absolutely constant Atomic number In large atoms, the energy of the 3d orbit may be lower than that of the 4s orbit.
In a nutshell, the shielding effect is caused by the interaction of electrons. At the same time, the larger the n is, the greater the average distance between the electron and the nucleus, the greater the potential energy, and the higher the orbital energy.
Penetration effect namely wave function There are n-l peaks in the radial direction. When n phase is in, the smaller the l is, the more the peaks are. The deeper the first peak is drilled, and the lower the potential energy is. When n phase is in, the larger the l is, the higher the orbital energy is.
Energy level interleaving
When n and l change comprehensively, it is generally seen as follows:
For the outer electrons of the atom, the larger the n+0.7l, the higher the energy
For the outer electrons of ions, the larger the n+0.4l, the higher the energy
For atoms or ions Inner electron , the greater the n, the higher the energy
This results in that the energy levels are not necessarily arranged according to the size of n.
1、 Principal quantum number and Angular quantum number The greater the sum, the higher the energy
2. Sum of principal quantum numbers Angular quantum number When the sum is equal, the larger the principal quantum number, the higher the energy
For example, the sum of the main quantum number and the angular quantum number of the 4s orbit is 4, and the sum of the main quantum number and the angular quantum number of the 3d orbit is 5, so the energy of the 4s orbit is lower than the energy of the 3d orbit; The sum of the principal quantum numbers and angular quantum numbers of the 3d and 4p orbits is 5, but the principal quantum numbers of the 4p orbits are larger, so the energy of the 4p orbits is higher than that of the 3d orbits

Penetration effect

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Penetration effect Can be explained Atomic orbital The energy level interleaving phenomenon.
stay Nucleus The electrons with a higher probability of appearing nearby can avoid the shielding of other electrons more and get closer to the nucleus due to the strong attraction of the nucleus. This effect of entering the internal space of the atom is called the penetration effect. Penetration and atomic orbital Radial distribution function of The smaller the number of orbital radial distribution functions, the deeper the first peak is drilled and the closer it is to the nucleus. It can be seen from the figure that 2s has one more small peak closer to the nucleus than 2p, which indicates that 2s electrons have stronger penetration ability than 2p electrons, so they are less shielded and have lower energy than 2p.
Drilling capacity:
ns > np > nd > nf
Energy level splitting result:
Ens <Enp < End < Enf
And Shielding effect On the contrary, the outer electrons have Penetration effect Outer layer Angular quantum number Electrons on small energy levels, such as 4s electrons, can drill into the inner space near the nucleus to move, so that they are less shielded by other electrons, and are strongly attracted by the nucleus, so the electron energy decreases, resulting in E (4s)<E (3d).

Approximate energy level diagram

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Pauling's approximate energy level diagram
In 1939, Linus Carl Pauling L.Pauling )According to a large number of experimental data And theoretical calculation, summarize the general order of the levels of the outer layers in the multi electron atom, and show it with a figure, which is approximate energy level diagram
Represented by a small circle in the figure Atomic orbital , several orbits in the box have similar energies, called one Energy level group Between adjacent energy level groups Energy difference Large, the energy difference of the same energy level group is small. There are seven such energy level groups, each of which is based on S track Start with P Orbit It's over. It is related to periodic table The seven cycles in the [2]
In the figure, there is only one circle in the s layer, indicating that there is only one atomic orbit; There are three circles in the p-layer, indicating that there are three atomic orbitals. Since these three p orbitals have the same energy, they are called Degenerate orbit Or equivalent orbit. Similarly, there are five orbits with the same energy in the d layer, that is, the d orbit is Quintuple degeneracy Of; There are seven orbits with the same energy in the f layer, that is, the f orbit is seven fold degenerate.
N+0.7l rule
Famous chemist in China Xu Guangxian Mr. Li proposed the (n+0.7l) approximation law for orbital energy. He believes that the order of orbital energy can be judged by the value of (n+0.7l), and the order of numerical values corresponds to the order of orbital energy. The energy levels with the same number of first places are also classified into one Energy level group , and launched with Atomic number Add, the order of filling electrons in the orbit is
1s,2s,2p,3s,3p,4s,3d,4p,5s,4d,5p,6s,4f,5d,6p,7s,5f……
For example, if the last electron of K atom is filled in the 3d or 4s orbit Atomic energy Lower? Since (3+0.7 × 2)>(4+0.7 × 0), electrons should be filled in the 4s orbit. This approximation law gives the same energy level order and grouping results as Pauling [3]
Cauton atomic orbital energy level diagram
1962 American inorganic structural chemist F.A Cotton )Summarize the elements in the periodic table in the simplest way Atomic orbital Energy varies with Atomic number The increase rule is shown in Figure 6-17. In the figure Abscissa Is the atomic number, Ordinate Is the orbital energy. It can be seen from the figure that the atomic number of hydrogen atom The orbital energy is only related to the n value. When n value is the same Degenerate orbit However, with the increase of atomic number and nuclear charge, the attraction of nucleus electrons also increases, which makes the energy of various orbits decrease by 3. From Figure The energy level interleaving phenomenon near the atomic numbers 19 (K) and 20 (Ca) can be clearly seen in. From the enlarged view, it is clearer to see that the energy of 3d from Sc is less than 4s. And in approximate energy level diagram This has not been reflected in [4]