How electronic levels, sublevels and orbitals are filled as the atom becomes more complex. Why are energy levels designated s, p, d, f

Why are electron shells called by the letters s, p, d, f, g, h, i? What do these symbols mean? Why not a, b, c? For a long time I could not find the answer to this question. And this is what it turned out to be.

Historically, the first four designations are derived from spectroscopic terms used in the 1890s to describe the spectra of alkali metals:

0 - s (sharp) - sharp,

1 - p (principal) - main;

2 - d (diffuse) - diffuse;

3 - f (fundamental) - fundamental.

As can be seen from this series, the well-known misconception that these letters are abbreviations for words describing the shape of an orbital is incorrect. It is not the shape of the orbital that is described (how would the chemists of 1890 know it), but the appearance of the lines in the spectral picture of the substance.

Next energy levels are designated g, h, i . It was not possible to find out the reason for these designations. It has been suggested that this designation was made by Latin alphabet after the letter f. And if there was another level, it would be called j.

What do spectral patterns look like?

The emission spectrum of hydrogen H, also known as the atomic emission spectrum of hydrogen:

If you look closely, you can see at least two lines: blue and red. The blue line is barely noticeable, and the purple line is almost invisible. If you play with this picture in graphic editor, you can get something like this:

The same spectrum of hydrogen in contrast:

The atomic emission spectrum of hydrogen is a collection of lines, among which three groups of lines, or series, can be distinguished:

The following figure roughly shows the correspondence between electronic transitions and spectral lines of atomic hydrogen. This figure shows the mappings on the spectrum of transitions from high orbitals to orbital 1:

The answer to the question of why hydrogen has so much energy is now clear. spectral lines, and not one (after all, the hydrogen atom has one electron). Because for that one electron in a hydrogen atom, there are many free energy states that it can be in. All these possible states at the mass of atoms of the substance under study and are visible on the spectral lines.

For comparison, the spectra of other substances. Emissive with helium (He) spectrum:

Emission spectrum of sodium (Na):

And here is how these spectra are drawn in educational materials:

In such a picture it is quite difficult to understand what the spectra really look like; the thickness of the spectral lines is not visible, that is, the physics of the process is not clear. It is not surprising that with such pictures, chemistry becomes an unstudied science for students.

More strictly speaking, the relative arrangement of sublevels is determined not so much by their greater or lesser energy, but by the requirement of a minimum total energy atom

The distribution of electrons over atomic orbitals occurs starting from the orbital that has the lowest energy (minimum energy principle), those. The electron lands in the orbital closest to the nucleus. This means that first those sublevels for which the sum of the values ​​are filled with electrons quantum numbers (n+l) was minimal. So the energy of an electron at the 4s sublevel is less than the energy of an electron located at the 3d sublevel. Consequently, the filling of sublevels with electrons occurs in the following order: 1s< 2s < 2p < 3s < 3p < 4s < 3d < 4p < 5s < 4d < 5p < 6s < 5d ~ 4f < 6p < 7s < 6d ~ 5f < 7p.

Based on this requirement, the minimum energy is achieved for most atoms when their sublevels are filled in the sequence shown above. But there are exceptions that you can find in the Electronic Configurations of Elements tables, but these exceptions rarely need to be taken into account when considering the chemical properties of elements.

Atom chromium It has electronic configuration not 4s 2 3d 4, but 4s 1 3d 5. This is an example of how the stabilization of states with parallel electron spins prevails over the insignificant difference in the energy states of the 3d and 4s sublevels (Hund's rules), that is, the energetically favorable states for the d sublevel are d 5 And d 10. Energy diagrams of the valence sublevels of chromium and copper atoms are presented in Fig. 2.1.1.

A similar transition of one electron from the s-sublevel to the d-sublevel occurs in 8 more elements: Cu, Nb, Mo, Ru, Ag, Pt, Au. At the atom Pd there is a transition of two s-electrons to the d-sublevel: Pd 5s 0 4d 10.

Fig.2.1.1. Energy diagrams of valence sublevels of chromium and copper atoms

Filling rules electronic shells:

1. First, we find out how many electrons the atom of the element of interest to us contains. To do this, it is enough to know the charge of its nucleus, which is always equal to the ordinal number of the element in the Periodic Table D.I. Mendeleev. The atomic number (the number of protons in the nucleus) is exactly equal to the number of electrons in the entire atom.

2. We successively fill the orbitals, starting with the 1s orbital, with the available electrons, taking into account the principle of minimum energy. In this case, it is impossible to place more than two electrons with oppositely directed spins in each orbital (Pauli's rule).

3. Write down the electronic formula of the element.

An atom is a complex, dynamically stable microsystem of interacting particles: protons p +, neutrons n 0 and electrons e -.


Fig.2.1.2. Filling energy levels with electrons of the element phosphorus

The electronic structure of the hydrogen atom (z = 1) can be depicted in the following way:

+1 Н 1s 1, n = 1, where the quantum cell (atomic orbital) is denoted as a line or square, and the electrons are denoted as arrows.

Each atom of the subsequent chemical element V periodic table is a multi-electron atom.

The lithium atom, like the hydrogen and helium atoms, has electronic structure s-element, because The last electron of the lithium atom “sits” on the s-sublevel:

+3 Li 1s 2 2s 1 2p 0

The first electron appears in the boron atom in the p-state:

+5 V 1s 2 2s 2 2p 1

It is easier to show the electronic formula notation on specific example. Let's say we need to find out the electronic formula of an element with serial number 7. An atom of such an element must have 7 electrons. Let's fill the orbitals with seven electrons, starting with the bottom 1s orbital.

So, 2 electrons will be located in the 1s orbital, another 2 electrons will be located in the 2s orbital, and the remaining 3 electrons can be located in three 2p orbitals.

The electronic formula of an element with atomic number 7 (this is the element nitrogen, which has the symbol “N”) looks like this:

+7 N 1s 2 2s 2 2p 3

Let's consider the action of Hund's rule using the example of a nitrogen atom: N 1s 2 2s 2 2p 3. There are three identical p-orbitals in the 2nd electron level: 2px, 2py, 2pz. Electrons will populate them so that each of these p-orbitals will have one electron. This is explained by the fact that in neighboring cells electrons repel each other less, like similarly charged particles. Received by us electronic formula carries a lot of nitrogen important information: The 2nd (outer) electron level of nitrogen is not completely filled with electrons (it has 2 + 3 = 5 valence electrons) and three electrons are missing to be completely filled.

The outer level of an atom is the level farthest from the nucleus that contains valence electrons. It is this shell that comes into contact when colliding with the outer levels of other atoms in chemical reactions. When interacting with other atoms, nitrogen is able to accept 3 additional electrons to its external level. In this case, the nitrogen atom will receive a completed, that is, maximally filled, external electronic level, on which 8 electrons will be located.

A completed level is energetically more favorable than an incomplete one, so the nitrogen atom should easily react with any other atom that can provide it with 3 extra electrons to complete its outer level.

An atomic orbital having spherical symmetry (Fig. 3) is usually denoted as s -orbital (s-AO), and the electrons in it are Hows-electrons.

The radius of the atomic s-orbital increases with increasing energy level number; The 1s-AO is located inside the 2s-AO, the latter is located inside the 3s-AO, etc. with a center corresponding to the atomic nucleus. In general, the structure of the electron shell of an atom in the orbital model appears to be layered. Each energy level containing electrons is considered geometrically as electronic layer.

For an abbreviated designation of an electron occupying an atomic s-orbital, the designation of the s-AO itself is used with an upper digital index indicating the number of electrons. For example, 1s is the designation for the only electron in a hydrogen atom.

The energy level number corresponds principal quantum number, and the type of orbital is orbital quantum number.

2s Li=1s 2s ,Be=1s 2s

1s H=1s , He

Electronic formula combined with energy diagram electron shell of an atom (Fig. 3) reflect it electronic configuration.

An atomic orbital having rotational (axial) symmetry is usually denoted as p-orbital (p -AO)(Fig. 3); the electrons in it are p-electrons.

Each atomic p-orbital can accept (at maximum occupancy) two electrons, like any other AO. These electrons collectively occupy both halves p-orbitals. At each atomic energy level (except the first) there are three atomic orbitals, which correspond to a maximum population of six electrons.

All three p-AOs of the same energy level differ from each other in spatial location; their own axes, passing through both halves of the orbital and perpendicular to its nodal plane, form a system of Cartesian coordinates (notations own axes x, y, z). Therefore, at each energy level there is a set of three atomic p-orbitals: p x -, p y - and p z -AO. Letters x, y, z correspond magnetic quantum number, which allows one to judge the influence of an external magnetic field on the electron shell of an atom.

Atomic s-orbitals exist at all energy levels, atomic p-orbitals - at all levels except the first. At the third and subsequent energy levels to one s-AO and three p-AO joins five atomic orbitals, called d -orbitals(Fig. 4), and at the fourth and subsequent levels - seven more atomic orbitals, called f -orbitals.

2.3. Energy sublevels

multielectron atom. principles

building an electron shell

Quantum mechanical calculations show that in multielectron atoms the energy of electrons of one level is not the same; electrons fill atomic orbitals different types and have different energies.

The energy level is characterized principal quantum numbern. For all known elements n values ​​vary from 1 to 7. Electrons in a multi-electron atom located in mostly (unexcited) state, occupy energy levels from the first to the seventh.

The energy sublevel is characterized orbital quantum numberl. For each level (n = const) the quantum number l accepts all integer values ​​from 0 to (n-1), for example, with n=3 values l will be 0, 1 and 2. The orbital quantum number determines geometric shape(symmetry) of orbitals s-, p-, d-, f-sublevel. It is obvious that in all cases n> l; at n=3 maximum value l equals 2.

The existing sublevels for the first four energy levels, the number of atomic orbitals and electrons in them are given in Table 1.

The pattern of filling the electron shells of atoms is determined by the exclusion principle established in 1925 by the Swiss physicist Pauli.

Pauli principle: An atom cannot have two electrons in identical states.

The difference between electrons occupying different atomic orbitals of the same sublevel ( n, l = const), except for the s-sublevel, is characterized magnetic quantum numberm. This number is called magnetic because it characterizes the behavior of electrons in an external magnetic field. If the value l determines the geometric shape of the atomic orbitals of the sublevel, then the value of the quantum number m establishes the relative spatial arrangement of these orbitals.

Table 1

Energy levels, sublevels and orbitals

multi-electron atom

Energy level n

Energy sublevel

Orbital designation

Number of orbits

n

Number of electrons

2n

type of orbital

Magnetic quantum number m l within this sublevel ( n, l = const) accepts all integer values ​​from + l before - l, including zero. For the s-sublevel ( n = const, l = 0 ) only one value is possible m l = 0, which means that the s-sublevel of any (from the first to the seventh) energy level contains one s-AO.

For the p-sublevel ( n> 1, l = 1) m l can take three values ​​+1, 0, -1, therefore, the p-sublevel of any (from the second to the seventh) energy level contains three p-AOs.

For d-sublevel ( n> 2, l = 2) m l has five values ​​+2, +1, 0, -1, -2 and, as a consequence, d- sublevel of any (from the third to the seventh) energy level necessarily contains five d- JSC.

Likewise, for each f- sublevel ( n> 3, l = 3) m has seven values ​​+3, +2, +1, 0, -1, -2, -3 and therefore any f- sublevel contains seven f- JSC.

Thus, Each atomic orbital is uniquely determined by three quantum numbers - the mainn , orbital l and magnetic m l .

At n = const all values ​​related to a given energy level are strictly defined l, and when l = const all values ​​related to a given energy sublevel m l .

Due to the fact that each orbital can be filled with a maximum of two electrons, the number of electrons that can be accommodated in each energy level and sublevel is doubled more number orbitals per this level or sublevel. Since electrons located in the same atomic orbital have the same quantum numbers n, l And m l, then for two electrons in one orbital the fourth is used, spin quantum numbers, which is determined by the spin of the electron.

According to the Pauli principle, it can be stated that each electron in an atom is unique characterized by its set of four quantum numbers - the mainn , orbitall , magneticm and spins.

The population of energy levels, sublevels and atomic orbitals by electrons is subject to the following rule (principle of minimum energy): in an unexcited state, all electrons have the lowest energy.

This means that each of the electrons filling the shell of an atom occupies such an orbital that the atom as a whole has a minimum energy. Consistent quantum increase in the energy of sublevels occurs in the following order:

1s 2s 2p 3s 3p 4s 3d 4p 5s - …..

The filling of atomic orbitals within one energy sublevel occurs in accordance with the rule formulated by the German physicist F. Hund (1927).

Hund's rule: atomic orbitals belonging to the same sublevel are each filled first with one electron, and then they are filled with second electrons.

Hund's rule is also called the principle of maximum multiplicity, i.e. the maximum possible parallel direction of the spins of electrons of one energy sublevel.

A free atom can have no more than eight electrons at its highest energy level.

Electrons located at the highest energy level of an atom (in the outer electron layer) are called external; The number of outer electrons in an atom of any element is never more than eight. For many elements, it is the number of external electrons (with filled internal sublevels) that largely determines their chemical properties. For other electrons whose atoms have an unfilled internal sublevel, for example 3 d- sublevel of atoms of elements such as Sc, Ti, Cr, Mn, etc., Chemical properties depend on the number of both internal and external electrons. All these electrons are called valence; in abbreviated electronic formulas of atoms they are written after the symbol of the atomic skeleton, that is, after the expression in square brackets.

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