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Blocks s, f, d, and p in the periodic table
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A block of the periodic table is a set of elements unified by the atomic orbitals their valence electrons or vacancies lie in.[1] The term seems to have been first used by Charles Janet.[2] Each block is named after its characteristic orbital: s-block, p-block, d-block, f-block and g-block.

The block names (s, p, d, and f) are derived from the spectroscopic notation for the value of an electron's azimuthal quantum number: sharp (0), principal (1), diffuse (2), and fundamental (3). Succeeding notations proceed in alphabetical order, as g, h, etc., though elements that would belong in such blocks have not yet been found.

Characteristics

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The division into blocks is justified by their distinctive nature: s is characterized, except in H and He, by highly electropositive metals; p by a range of very distinctive metals and non-metals, many of them essential to life; d by metals with multiple oxidation states; f by metals so similar that their separation is problematic. Useful statements about the elements can be made on the basis of the block they belong to and their position in it, for example highest oxidation state, density, melting point ... Electronegativity is rather systematically distributed across and between blocks.

P. J. Stewart
In Foundations of Chemistry, 2017[3]

There is an approximate correspondence between this nomenclature of blocks, based on electronic configuration, and sets of elements based on chemical properties. The s-block and p-block together are usually considered main-group elements, the d-block corresponds to the transition metals, and the f-block corresponds to the inner transition metals and encompasses nearly all of the lanthanides (like lanthanum, praseodymium and dysprosium) and the actinides (like actinium, uranium and einsteinium).

The group 12 elements zinc, cadmium, and mercury are sometimes regarded as main group, rather than transition group, because they are chemically and physically more similar to the p-block elements than the other d-block elements. The group 3 elements are occasionally considered main group elements due to their similarities to the s-block elements. However, they remain d-block elements even when considered to be main group.

Groups (columns) in the f-block (between groups 2 and 3) are not numbered.

Helium is an s-block element, with its outer (and only) electrons in the 1s atomic orbital, although its chemical properties are more similar to the p-block noble gases in group 18 due to its full shell.

s-block

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Na, K, Mg and Ca are essential in biological systems. Some ... other s-block elements are used in medicine (e.g. Li and Ba) and/or occur as minor but useful contaminants in Ca bio-minerals e.g. Sr…These metals display only one stable oxidation state [+1 or +2]. This enables [their] ... ions to move around the cell without…danger of being oxidized or reduced.

Wilkins, R. G. and Wilkins, P. C. (2003)
The role of calcium and comparable cations in animal behaviour, RSC, Cambridge, p. 1

The s-block, with the s standing for "sharp" and azimuthal quantum number 0, is on the left side of the conventional periodic table and is composed of elements from the first two columns plus one element in the rightmost column, the nonmetals hydrogen and helium and the alkali metals (in group 1) and alkaline earth metals (group 2). Their general valence configuration is ns1–2. Helium is an s-element, but nearly always finds its place to the far right in group 18, above the p-element neon. Each row of the table has two s-elements.

The metals of the s-block (from the second period onwards) are mostly soft and have generally low melting and boiling points. Most impart colour to a flame.

Chemically, all s-elements except helium are highly reactive. Metals of the s-block are highly electropositive and often form essentially ionic compounds with nonmetals, especially with the highly electronegative halogen nonmetals.

p-block

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See also: CHNOPS

The p-block, with the p standing for "principal" and azimuthal quantum number 1, is on the right side of the standard periodic table and encompasses elements in groups 13 to 18. Their general electronic configuration is ns2 np1–6. Helium, though being the first element in group 18, is not included in the p-block. Each row of the table has a place for six p-elements except for the first row (which has none).

Aluminium (metal), atomic number 13
Silicon (metalloid), atomic number 14
Phosphorus (nonmetal), atomic number 15

This block is the only one having all three types of elements: metals, nonmetals, and metalloids. The p-block elements can be described on a group-by-group basis as: group 13, the triels; 14, the tetrels; 15, the pnictogens; 16, the chalcogens; 17, the halogens; and 18, the helium group, composed of the noble gases (excluding helium) and oganesson. Alternatively, the p-block can be described as containing post-transition metals; metalloids; reactive nonmetals including the halogens; and noble gases (excluding helium).

The p-block elements are unified by the fact that their valence (outermost) electrons are in the p orbital. The p orbital consists of six lobed shapes coming from a central point at evenly spaced angles. The p orbital can hold a maximum of six electrons, hence there are six columns in the p-block. Elements in column 13, the first column of the p-block, have one p-orbital electron. Elements in column 14, the second column of the p-block, have two p-orbital electrons. The trend continues this way until column 18, which has six p-orbital electrons.

The block is a stronghold of the octet rule in its first row, but elements in subsequent rows often display hypervalence. The p-block elements show variable oxidation states usually differing by multiples of two. The reactivity of elements in a group generally decreases downwards. (Helium breaks this trend in group 18 by being more reactive than neon, but since helium is actually an s-block element, the p-block portion of the trend remains intact.)

The bonding between metals and nonmetals depends on the electronegativity difference. Ionicity is possible when the electronegativity difference is high enough (e.g. Li3N, NaCl, PbO). Metals in relatively high oxidation states tend to form covalent structures (e.g. WF6, OsO4, TiCl4, AlCl3), as do the more noble metals even in low oxidation states (e.g. AuCl, HgCl2). There are also some metal oxides displaying electrical (metallic) conductivity, like RuO2, ReO3, and IrO2.[4] The metalloids tend to form either covalent compounds or alloys with metals, though even then ionicity is possible with the most electropositive metals (e.g. Mg2Si).

d-block

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"d-block" redirects here. For other uses, see D block (disambiguation).

The ... elements show a horizontal similarity in their physical and chemical properties as well as the usual vertical relationship. This horizontal similarity is so marked that the chemistry of the first ... series ... is often discussed separately from that of the second and third series, which are more similar to one another than to the first series.

Kneen, W. R., Rogers, M. J. W., and Simpson, P. (1972)
Chemistry: Facts, patterns, and principles, Addison-Wesley, London, pp. 487−489 

The d-block, with the d standing for "diffuse" and azimuthal quantum number 2, is in the middle of the periodic table and encompasses elements from groups 3 to 12; it starts in the 4th period. Periods from the fourth onwards have a space for ten d-block elements. Most or all of these elements are also known as transition metals because they occupy a transitional zone in properties, between the strongly electropositive metals of groups 1 and 2, and the weakly electropositive metals of groups 13 to 16. Group 3 or group 12, while still counted as d-block metals, are sometimes not counted as transition metals because they do not show the chemical properties characteristic of transition metals as much, for example, multiple oxidation states and coloured compounds.

The d-block elements are all metals and most have one or more chemically active d-orbital electrons. Because there is a relatively small difference in the energy of the different d-orbital electrons, the number of electrons participating in chemical bonding can vary. The d-block elements have a tendency to exhibit two or more oxidation states, differing by multiples of one. The most common oxidation states are +2 and +3. Chromium, iron, molybdenum, ruthenium, tungsten, and osmium can have formal oxidation numbers as low as −4; iridium holds the singular distinction of being capable of achieving an oxidation state of +9, though only under far-from-standard conditions.

The d-orbitals (four shaped as four-leaf clovers, and the fifth as a dumbbell with a ring around it) can contain up to five pairs of electrons.

Some sources list group 11 and group 12 elements with full d-orbitals separately as ds-block elements.[5]

f-block

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Because of their complex electronic structure, the significant electron correlation effects, and the large relativistic contributions, the f-block elements are probably the most challenging group of elements for electronic structure theory. 

Dolg, M., ed. (2015)
Computational method in lanthanide and actinide chemistry, John Wiley & Sons, Chichester, p. xvii

The f-block, with the f standing for "fundamental" and azimuthal quantum number 3, appears as a footnote in a standard 18-column table but is located at the center-left of a 32-column full-width table, between groups 2 and 3. Periods from the sixth onwards have a place for fourteen f-block elements. These elements are generally not considered part of any group. They are sometimes called inner transition metals because they provide a transition between the s-block and d-block in the 6th and 7th row (period), in the same way that the d-block transition metals provide a transitional bridge between the s-block and p-block in the 4th and 5th rows.

The f-block elements come in two series: lanthanum through ytterbium in period 6, and actinium through nobelium in period 7. All are metals. The f-orbital electrons are less active in the chemistry of the period 6 f-block elements, although they do make some contribution;[6] these are rather similar to each other. They are more active in the early period 7 f-block elements, where the energies of the 5f, 7s, and 6d shells are quite similar; consequently these elements tend to show as much chemical variability as their transition metals analogues. The later period 7 f-block elements from about curium onwards behave more like their period 6 counterparts.

The f-block elements are unified by mostly having one or more electrons in an inner f-orbital. Of the f-orbitals, six have six lobes each, and the seventh looks like a dumbbell with a donut with two rings. They can contain up to seven pairs of electrons; hence, the block occupies fourteen columns in the periodic table. They are not assigned group numbers, since vertical periodic trends cannot be discerned in a "group" of two elements.

The two 14-member rows of the f-block elements are sometimes confused with the lanthanides and the actinides, which are names for sets of elements based on chemical properties more so than electron configurations. Those sets have 15 elements rather than 14, extending into the first members of the d-block in their periods, lutetium and lawrencium respectively.

In many periodic tables, the f-block is shifted one element to the right, so that lanthanum and actinium become d-block elements, and Ce–Lu and Th–Lr form the f-block tearing the d-block into two very uneven portions. This is a holdover from early erroneous measurements of electron configurations, in which the 4f shell was thought to complete its filling only at lutetium.[7] In fact ytterbium completes the 4f shell, and on this basis Lev Landau and Evgeny Lifshitz considered in 1948 that lutetium cannot correctly be considered an f-block element.[8] Since then, physical, chemical, and electronic evidence has overwhelmingly supported that the f-block contains the elements La–Yb and Ac–No,[7][9] as shown here and as supported by International Union of Pure and Applied Chemistry reports dating from 1988[9] and 2021.[10]

g-block

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A g-block, with azimuthal quantum number 4, is predicted to begin in the vicinity of element 121. Though g-orbitals are not expected to start filling in the ground state until around element 124–126 (see extended periodic table), they are likely already low enough in energy to start participating chemically in element 121,[11] similar to the situation of the 4f and 5f orbitals.

If the trend of the previous rows continued, then the g-block would have eighteen elements. However, calculations predict a very strong blurring of periodicity in the eighth period, to the point that individual blocks become hard to delineate. It is likely that the eighth period will not quite follow the trend of previous rows.[12]

See also

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References

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Block (periodic table)

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In the periodic table of elements, a block is a set of adjacent element groups unified by the type of atomic orbital (s, p, d, or f subshell) in which their valence electrons or vacancies reside, providing a framework for classifying elements based on their electron configurations.[1][2] The periodic table is divided into four main blocks—s, p, d, and f—each corresponding to the subshell being filled as atomic number increases, which influences the chemical and physical properties of the elements within them.[3] This block organization, first formalized by French scientist Charles Janet in the early 20th century, complements the traditional grouping by periods and groups to reveal trends in reactivity, bonding, and metallic character.[4] The s-block encompasses groups 1 and 2 (excluding helium), comprising the alkali metals (group 1) and alkaline earth metals (group 2), which are highly electropositive, soft, and reactive elements with low melting points due to their single or paired valence electrons in the s orbital.[4][1] These elements, including lithium through francium in group 1 and beryllium through radium in group 2, readily form positive ions and are essential in applications like batteries and alloys.[2] The p-block, spanning groups 13 through 18, includes a diverse array of elements such as nonmetals (e.g., carbon, oxygen), metalloids (e.g., silicon, arsenic), and post-transition metals (e.g., tin, lead), characterized by valence electrons filling p orbitals and often forming covalent bonds.[4][3] Helium, despite its 1s² s-block configuration, is conventionally placed in group 18 with the p-block noble gases due to its similar inert properties; this block is vital for organic chemistry and semiconductors.[1] The d-block, known as the transition metals and occupying groups 3 through 12, features elements like iron, copper, and gold, where valence electrons occupy d orbitals, leading to high melting points, variable oxidation states, colored compounds, and catalytic abilities.[2][4] These properties arise from partially filled d subshells, making d-block elements crucial in metallurgy, electronics, and industrial catalysis.[1] Finally, the f-block consists of the lanthanides (elements 58–71) and actinides (elements 90–103), positioned below the main body of the table, with valence electrons in f orbitals that result in high melting points, multiple oxidation states, and often radioactive or magnetic behaviors.[3][4] Many actinides are synthetic and fissile, playing key roles in nuclear energy and research, while lanthanides are used in magnets and phosphors.[2] A hypothetical g-block has been proposed for superheavy elements beyond atomic number 118, but it remains unobserved.[4]

Fundamentals

Definition and Concept

In the periodic table, blocks are sets of elements unified by the atomic orbital subshell in which their valence electrons reside or are being filled, specifically the s, p, d, f, and theoretically g subshells in the highest principal energy level./Descriptive_Chemistry/Elements_Organized_by_Block) This classification arises from the quantum mechanical description of electron arrangements, where each block corresponds to the progressive filling of a particular subshell as atomic number increases.[5] The valence electron configurations define each block: s-block elements feature $ ns^1 $ or $ ns^2 $ (where $ n $ is the principal quantum number), p-block elements $ ns^2 np^{1-6} $, d-block elements $ ns^2 (n-1)d^{1-10} $, and f-block elements $ ns^2 (n-2)f^{1-14} $.[5] The g-block, which remains hypothetical, would involve filling of the $ (n-3)g $ subshell for superheavy elements beyond atomic number 120.[6] Visually, the modern periodic table arranges these blocks to reflect their orbital filling order: the s-block forms the leftmost two columns (groups 1 and 2, main group metals), the p-block the rightmost six columns (groups 13–18, encompassing nonmetals, metalloids, and metals), the d-block the central ten columns (groups 3–12, transition metals), and the f-block as detached rows below for the lanthanides and actinides (inner transition metals).[7] This block structure serves to organize elements by shared chemical behaviors, as similarities in subshell filling lead to comparable valence electron participation in bonding and reactivity./Descriptive_Chemistry/Elements_Organized_by_Block)

Electron Configuration Basis

The assignment of elements to blocks in the periodic table stems from the quantum mechanical rules that dictate how electrons fill atomic orbitals, linking the structure of electron configurations directly to block classification. The filling of electron orbitals follows three core principles: the Aufbau principle, the Pauli exclusion principle, and Hund's rule. The Aufbau principle dictates that electrons occupy orbitals in sequence of increasing energy, building the configuration from the lowest available energy state upward.[8] The Pauli exclusion principle requires that no two electrons in an atom share the same set of four quantum numbers, ensuring each orbital holds at most two electrons with opposite spins.[9] Hund's rule states that in a set of degenerate orbitals, electrons fill each orbital singly with parallel spins before pairing, thereby minimizing electron-electron repulsion and maximizing orbital occupancy stability.[10] Orbital energies in multi-electron atoms are ordered according to the Madelung energy ordering rule, also called the (n + l) rule, where $ n $ is the principal quantum number and $ l $ is the azimuthal quantum number. This rule prioritizes filling orbitals with the lowest sum $ n + l $; if two orbitals have the same $ n + l $, the one with the lower $ n $ fills first. For instance, the 4s orbital ($ n = 4 $, $ l = 0 $, $ n + l = 4 )haslowerenergythanthe3dorbital() has lower energy than the 3d orbital ( n = 3 $, $ l = 2 $, $ n + l = 5 $), explaining why 4s fills before 3d.[11][12] The azimuthal quantum number $ l $ specifies the subshell shape and ranges from 0 to $ n - 1 $ for a given $ n $, with each value corresponding to a block designation in the periodic table based on the highest $ l $ in the valence shell: s for $ l = 0 $ (spherical orbitals), p for $ l = 1 $ (dumbbell-shaped), d for $ l = 2 $ (cloverleaf-shaped), f for $ l = 3 $ (complex shapes), and g for $ l = 4 $ (even more intricate).[13][14] This linkage ensures that elements with valence electrons in a particular subshell type share similar chemical behaviors within their block.

Historical Development

Origins in Atomic Theory

The concept of blocks in the periodic table originated from advancements in atomic theory that described the arrangement of electrons in atoms. In 1913, Niels Bohr proposed a model of the atom in which electrons occupy discrete energy levels or shells, characterized by a principal quantum number $ n = 1, 2, 3, \dots $, with each shell filling sequentially up to a maximum of $ 2n^2 $ electrons. This shell-filling scheme provided an early framework for grouping elements based on their electron configurations, serving as a precursor to the later block classification, though Bohr's model treated electrons in circular orbits without distinguishing subshells.[15] Building on Bohr's work, Arnold Sommerfeld extended the model in 1916 by introducing elliptical orbits and a second quantum number, later identified as the azimuthal quantum number $ l $, which ranges from 0 to $ n-1 $ and defines subshells within each principal shell. This refinement allowed for the recognition of different angular momentum states, laying the groundwork for the subdivision of electron shells into distinct types that would eventually correspond to the s, p, d, and f blocks. Sommerfeld's quantization rules better explained spectral lines and marked a key step toward understanding electron grouping by orbital shape and energy. The full quantum mechanical foundation emerged in 1926 with Erwin Schrödinger's wave equation, which described electrons as probability waves in three-dimensional orbitals rather than fixed paths. Solutions to this equation, combined with the magnetic quantum number $ m_l $ and spin quantum number $ m_s ,yieldedorbitalshapeslabeleds(, yielded orbital shapes labeled s ( l=0 ),p(), p ( l=1 ),d(), d ( l=2 ),andf(), and f ( l=3 $) based on historical spectroscopic notations for spectral line series. These orbitals, with capacities of 2, 6, 10, and 14 electrons respectively, directly informed the block structure by grouping elements according to the subshell being filled in their outermost electrons. An early visual representation of block-like groupings appeared in Charles Janet's 1928 left-step periodic table, which arranged elements in a 32-column format reflecting the sequential filling of s, p, d, and f subshells across periods. Janet's design emphasized the continuity of electron configurations, positioning the f-block elements separately and anticipating the separation of lanthanides and actinides, though it received limited attention at the time. This layout highlighted the theoretical implications of quantum mechanics for periodic trends without relying on traditional group divisions. A pivotal confirmation of the f-block came in the 1940s through Glenn T. Seaborg's actinide concept, developed during the discovery of transuranic elements like plutonium in 1941. Seaborg proposed that elements from actinium (atomic number 89) to lawrencium (103) fill the 5f subshell, analogous to the 4f lanthanides, justifying their placement as a separate block below the main table. This hypothesis, verified through chemical and spectroscopic studies of elements produced in nuclear reactors, solidified the four-block (s, p, d, f) paradigm and resolved longstanding ambiguities in the periodic system's heavy elements.

Integration into Periodic Table

Dmitri Mendeleev's original periodic table, published in 1869, organized elements primarily by increasing atomic weight and chemical similarities, without any division into blocks based on electron configurations, as the quantum mechanical understanding of atomic structure had not yet emerged.[16] This arrangement laid the groundwork for periodicity but lacked the orbital-based categorization that defines modern blocks. A significant evolution occurred in 1913 when Henry Moseley established atomic number as the fundamental ordering principle through X-ray spectroscopy, resolving inconsistencies in Mendeleev's atomic weight-based system and providing a physical basis for the table's structure that later facilitated block integration.[17] The International Union of Pure and Applied Chemistry (IUPAC), established in 1919, began standardizing the periodic table in the early 1920s, with the d-block formally recognized as encompassing groups 3 through 12 in subsequent refinements, aligning with the emerging quantum model of electron shells.[18] By the late 20th century, IUPAC's 1988 recommendation solidified the 18-column format, explicitly defining the p-block as groups 13 through 18 and integrating the s- and d-blocks within the main body to reflect valence electron filling patterns.[19] In 1944, Glenn T. Seaborg proposed a major restructuring by separating the f-block elements—the lanthanides (elements 58–71) and actinides (elements 90–103)—into a distinct row below the main table, treating them as a separate series analogous to the lanthanides, which resolved placement anomalies. This was published in Chemical & Engineering News in 1945.[20] This actinide hypothesis became widely accepted and is now standard in IUPAC tables. Modern variations extend beyond the conventional 18-column format to accommodate predictions for period 8 elements, incorporating a hypothetical 32-column layout that includes a g-block starting at atomic number 121 (unbiunium), where the 5g orbitals would fill, as proposed in relativistic quantum calculations for superheavy elements.[21]

The Blocks

s-block

The s-block of the periodic table comprises the elements in groups 1 and 2, extending across periods 1 through 7, and includes the alkali metals and alkaline earth metals.[22] These elements are defined by the placement of their valence electrons in the s subshell of the outermost principal energy level, distinguishing them from other blocks where p, d, or f orbitals are involved in valence configurations.[22] In group 1, the alkali metals possess an electron configuration of [noble gas] ns¹, while group 2 alkaline earth metals have [noble gas] ns², with n representing the period number.[23] For instance, sodium in period 3 has the configuration [Ne] 3s¹, and calcium in period 4 has [Ar] 4s².[23] This s-electron arrangement leads to key properties such as exceptionally low first ionization energies—ranging from about 376 kJ/mol for cesium to 520 kJ/mol for lithium in group 1—facilitating easy loss of the valence electron(s) to form +1 or +2 cations, respectively.[24] The resulting high reactivity is evident in their vigorous reactions with water and oxygen, with reactivity generally increasing down each group due to decreasing ionization energies and atomic radii.[25] A distinctive anomaly is the diagonal relationship between lithium (group 1, period 2) and magnesium (group 2, period 3), where similarities arise from comparable charge densities and electronegativities (lithium: 0.98, magnesium: 1.31 on the Pauling scale), leading to shared behaviors like the formation of stable nitrides (Li₃N and Mg₃N₂) and similar solubilities in certain solvents.[24] The elements of the s-block begin with hydrogen in period 1, group 1, whose 1s¹ configuration mirrors that of alkali metals, though its placement is debated due to its nonmetallic properties and ability to form H⁻ or H⁺ ions; helium, with 1s², is conventionally assigned to group 18 in the p-block despite its s-electron configuration, aligning it with noble gases based on inertness. The alkali metals proceed as lithium, sodium, potassium, rubidium, cesium, and francium, while the alkaline earth metals include beryllium, magnesium, calcium, strontium, barium, and radium.[25] These metals serve as potent reducing agents, with standard reduction potentials for group 1 reaching -3.04 V for lithium (Li⁺ + e⁻ → Li), surpassing other metals and enabling applications such as lithium in rechargeable lithium-ion batteries, where its high electrochemical potential (up to 4 V vs. lithium metal) and low density (0.534 g/cm³) contribute to energy densities exceeding 250 Wh/kg.[26]

p-block

The p-block of the periodic table encompasses the elements in groups 13 through 18 and periods 2 through 7, comprising a diverse array of main-group elements that include metals, metalloids, nonmetals, and noble gases.[7] These elements are characterized by their valence electron configurations of ns² np¹⁻⁶, where the p orbitals fill progressively from one to six electrons in the outermost shell; for instance, carbon has the configuration [He] 2s² 2p², while xenon exhibits [Kr] 4d¹⁰ 5s² 5p⁶.[27] This configuration leads to a wide range of chemical behaviors, with increasing nonmetallic character from left to right across the block and a general trend toward metallic properties down each group.[28] A notable property in heavier p-block elements, particularly in groups 13–15, is the inert pair effect, where the ns² electrons become less reactive due to poor shielding by intervening d and f electrons, favoring lower oxidation states by two units compared to the group valence.[28] For example, thallium in group 13 more stably forms the +1 oxidation state (Tl⁺) rather than +3 (Tl³⁺), as the 6s² pair remains unpaired.[29] In group 14, catenation—the ability to form stable chains of like atoms—is prominent, especially in carbon, which uniquely forms extensive covalent networks due to strong C–C bonds, though this tendency diminishes down the group toward lead. The p-block includes the boron group (13) through the noble gases (18), with metalloids like boron, silicon, and germanium bridging metallic and nonmetallic traits. Halogens in group 17 exhibit the highest electronegativities in the periodic table (fluorine at 3.98 on the Pauling scale), driving their high reactivity as oxidizing agents, which decreases down the group as atomic size increases and electronegativity falls (iodine at 2.66).[30] Noble gases in group 18, with complete np⁶ configurations, are generally inert under standard conditions due to full valence shells.[31] Elements from the p-block play a central role in organic chemistry, where carbon, nitrogen, oxygen, phosphorus, and sulfur form the backbone of biomolecules and synthetic compounds through covalent bonding.[32] Additionally, group 14 metalloids such as silicon and germanium are key semiconductors, enabling their use in electronics due to tunable band gaps and doping capabilities.[32]

d-block

The d-block elements, commonly referred to as transition metals, are positioned in groups 3 through 12 across periods 4 through 7 of the periodic table, spanning the central portion of the table and comprising 40 elements in total.[33] The first series begins with scandium (Sc) in group 3 and extends to zinc (Zn) in group 12 within period 4, followed by subsequent rows in the 4d, 5d, and 6d series.[34] These elements are characterized by their general electron configuration of $ (n-1)d^{1-10} ns^{1-2} $, where the (n-1)d subshell is progressively filled, although exceptions occur due to the stability of half-filled or fully filled subshells; for instance, iron (Fe) follows [Ar] $ 3d^6 4s^2 $, while chromium (Cr) adopts [Ar] $ 3d^5 4s^1 $ to achieve a half-filled 3d subshell.[35] A defining feature of d-block elements is their ability to exhibit multiple oxidation states, arising from the involvement of both ns and (n-1)d electrons in bonding, which allows for variable valence; manganese (Mn), for example, displays oxidation states ranging from +2 to +7 in its compounds.[36] This variability contributes to the formation of colored compounds, as unpaired d electrons enable d-d electronic transitions that absorb specific wavelengths of visible light, resulting in the observed hues.[37] Additionally, the presence of unpaired electrons in the d orbitals often imparts paramagnetism to these elements and their ions, making them attracted to magnetic fields.[38] The d-block metals are distinguished by their high melting points, which stem from strong metallic bonding involving d-orbital overlap that delocalizes electrons effectively across the lattice, enhancing cohesion; this is particularly pronounced in elements like tungsten (W) and rhenium (Re).[34] Their catalytic activity is another hallmark, leveraging variable oxidation states and d-orbital participation to facilitate reactions; iron, for example, serves as a key catalyst in the Haber-Bosch process, promoting the synthesis of ammonia from nitrogen and hydrogen under industrial conditions.[39] In group 12, elements such as zinc (Zn), cadmium (Cd), and mercury (Hg) possess a stable $ d^{10} $ configuration, rendering them post-transition metals with diminished metallic character, lower melting points, and a tendency toward more covalent bonding compared to earlier d-block members.[40]

f-block

The f-block of the periodic table comprises the inner transition metals, specifically the lanthanide series in period 6 (elements cerium through lutetium, atomic numbers 58–71) and the actinide series in period 7 (thorium through lawrencium, atomic numbers 90–103), which are typically positioned below the main body of the table to maintain its compact structure. Each series contains 14 elements, corresponding to the capacity of the f subshell to hold up to 14 electrons (from f¹ to f¹⁴). These elements are characterized by the progressive filling of the (n-2)f orbitals in their electron configurations, leading to similar chemical behaviors within each series despite increasing atomic numbers.[41] The general electron configuration for lanthanides is [Xe] 4f¹⁻¹⁴ 6s², though anomalies occur due to the stability of half-filled or fully filled subshells; for example, gadolinium has the configuration [Xe] 4f⁷ 5d¹ 6s², where the 5d orbital is involved to achieve a stable 4f⁷ arrangement. Similarly, actinides follow [Rn] 5f¹⁻¹⁴ 7s², with frequent participation of 6d orbitals in early members, such as thorium's [Rn] 6d² 7s² (no 5f electrons) and uranium's [Rn] 5f³ 6d¹ 7s². These configurations result in poor shielding by f electrons, which are localized and do not effectively screen the nuclear charge from outer electrons.[41] A defining property of the f-block is the lanthanide contraction, where atomic and ionic radii decrease progressively from lanthanum to lutetium (e.g., La³⁺ radius ~103 pm to Lu³⁺ ~86 pm), caused by the inadequate shielding of the increasing nuclear charge by 4f electrons, leading to a stronger attraction on the 5d and 6s electrons. This phenomenon extends to the actinides as actinide contraction, though less pronounced due to slightly better 5f shielding. The +3 oxidation state dominates in lanthanides owing to the stability of f⁰ or f¹⁴ configurations after losing the two 6s electrons and one from 5d or 4f, resulting in highly similar ionic sizes and chemistries that complicate their separation in mixtures.[42][41] In contrast to the mostly stable lanthanides, actinides exhibit greater variability, with early members displaying multiple oxidation states (e.g., uranium +3 to +6, plutonium +3 to +6) due to the more diffuse 5f orbitals that participate in bonding similarly to d orbitals. Most actinides are radioactive, with decay rates increasing across the series; uranium and plutonium are notable for their use as nuclear fuels in reactors, where uranium-235 undergoes fission and plutonium-239 is bred from uranium-238. This radioactivity and chemical similarity pose significant challenges for handling and separation in nuclear applications.[43][44]

g-block

The g-block represents a hypothetical series of 18 superheavy elements in period 8 of the extended periodic table, spanning atomic numbers Z=121 to Z=138 and predicted to occupy the 5g subshell. In certain theoretical extensions of the periodic table, this block is positioned between groups 4 and 5 to align with anticipated transition metal characteristics, following the s-block elements Z=119 and 120. These elements, often termed superactinides, arise from extensions of the Aufbau principle beyond the observed f-block, with their placement reflecting the filling of higher angular momentum orbitals (l=4 for g).[45][46] The electron configurations for g-block elements are theoretically described as $ (n-3)g^{1-18} ns^2 (n-1)d^{10} (n-2)f^{14} $ for n=8, corresponding to a core of [Og] 8s² 5g^{1-18} with filled 6f^{14} and 7d^{10} subshells, commencing after the 8p_{1/2}^2 closure at Z=120, which contributes to a predicted island of stability around this region. Relativistic effects, dominant in superheavy atoms, cause significant orbital distortions: while s and p_{1/2} orbitals contract, the g-orbitals (l=4) experience expansion and destabilization due to indirect relativistic influences, potentially stabilizing lower oxidation states but favoring +4 for early members like unbiunium (Z=121). These predictions stem from Dirac equation-based calculations, which reveal quasi-degenerate 5g, 6f, and 7d orbitals leading to configuration mixing.[46][47][48] Synthesis attempts for precursor elements like Z=119 continue at facilities such as GSI Helmholtz Centre, RIKEN in Japan, and other international labs, using reactions like ^{50}Ti + ^{249}Bk as of 2025, but no confirmed detections have occurred, highlighting the extreme instability of superheavy nuclei with half-lives often in microseconds. Unlike the f-block lanthanides and actinides, which exhibit chemical stability from localized 4f/5f electrons, g-block elements face heightened fission barriers and alpha decay, questioning their viability despite theoretical enhanced stability near closed shells.[49][50][51]

Properties and Trends

General Characteristics Across Blocks

The atomic radius of elements generally decreases across a period from left to right due to increasing effective nuclear charge, which pulls electrons closer to the nucleus, but this trend is interrupted by abrupt increases at transitions between blocks, such as from the s-block to the d-block or p-block to the s-block of the next period.[52] For instance, alkali metals in the s-block exhibit larger atomic radii compared to the subsequent transition metals in the d-block of the same period, as the addition of d-electrons occurs in a higher-energy inner shell, leading to less expansion of the overall atomic size.[53] Down a group, atomic radii increase as additional electron shells are added, though this increase is more pronounced in the s- and p-blocks than in the d- and f-blocks due to differential shielding effects./Descriptive_Chemistry/Periodic_Trends_of_Elemental_Properties/Periodic_Trends) Ionization energy, the energy required to remove an electron from a gaseous atom, is lowest in the s-block elements, which readily lose their single valence electron to achieve noble gas configurations, and generally increases across a period toward the p-block./08%3A_Periodic_Properties_of_the_Elements/8.03%3A_Trends_in_Ionization_Energy) In the d- and f-blocks, however, ionization energies show more variability and do not follow a strict monotonic increase, primarily because of incomplete shielding by d- and f-electrons, which allows the nuclear charge to exert a stronger pull on valence electrons than expected.[53] This results in higher-than-anticipated ionization energies for later transition and inner transition metals compared to simple periodic trends. Electronegativity, a measure of an atom's ability to attract electrons in a chemical bond, follows the Pauling scale, where values are low for metallic elements in the s-, d-, and f-blocks (typically below 2.0) and rise sharply in the p-block nonmetals (up to 4.0 for fluorine)./02%3A_Basic_Concepts-_Molecules/2.05%3A_Electronegativity_Values/2.5A%3A_Pauling_Electronegativity_Values) Representative examples include lithium (s-block) at 0.98, iron (d-block) at 1.83, cerium (f-block) at 1.12, and chlorine (p-block) at 3.16, illustrating how electronegativity remains subdued in electron-rich metallic blocks but escalates in the p-block due to smaller atomic sizes and higher effective nuclear charges.[54] Overall, electronegativity increases across periods and decreases down groups, with block transitions accentuating the divide between electropositive metals and electronegative nonmetals.[55] Metallic character, characterized by properties such as luster, conductivity, and ease of cation formation, is highest in the s-, d-, and f-blocks, where elements predominantly behave as metals with low ionization energies and high tendencies to lose electrons./06%3A_The_Periodic_Table/6.22%3A_Periodic_Trends_-_Metallic_and_Nonmetallic_Character) Within the p-block, metallic character decreases from left to right as atomic radii shrink and electronegativities rise, transitioning from metals like aluminum to metalloids like silicon and nonmetals like oxygen.[56] This gradient reflects the overarching periodic trend where metallic behavior strengthens toward the lower left of the table./Descriptive_Chemistry/Periodic_Tren ds_of_Elemental_Properties/Periodic_Trends) These trends are underpinned by the effective nuclear charge experienced by valence electrons, calculated as $ Z_{\text{eff}} = Z - \sigma $, where $ Z $ is the atomic number and $ \sigma $ is the shielding constant determined by Slater's rules. Under Slater's rules, electrons are grouped by subshell type, with contributions to $ \sigma $ varying: for a valence electron in an ns or np orbital, other electrons in the same subshell contribute 0.35 each, those in the (n-1) shell contribute 0.85 each, and those in (n-2) or lower shells contribute 1.00 each; for nd or nf electrons, the rules adjust to treat lower-shell electrons as full shielders (1.00)./Text/07%3A_Approximation_Methods/7.1%3A_Slater%27s_Rules_for_Shielding) Applied across blocks, this framework highlights differences in shielding efficiency, particularly how f-electrons in the f-block provide poor shielding for outer valence electrons—approximated at 1.00 but effectively less due to their diffuse radial distribution—resulting in a higher $ Z_{\text{eff}} $ and influencing trends like reduced atomic radius increases in the f-block.

Block-Specific Variations and Exceptions

In the s-block, beryllium exhibits a notable deviation from typical group trends by displaying a diagonal relationship with aluminum in the p-block, rather than close similarity to magnesium. This arises primarily from their comparable atomic radii and high charge densities, leading to shared properties such as the formation of covalent compounds and amphoteric oxides, unlike the more ionic behavior of other alkaline earth metals.[57] Within the p-block, nitrogen shows anomalous bonding behavior with oxygen, forming unusually strong multiple bonds due to effective pπ-pπ overlap facilitated by its small atomic size and high electronegativity. For instance, the N≡O bond in nitric oxide (NO) exhibits a bond dissociation energy of approximately 631 kJ/mol, higher than expected compared to analogous P-O bonds in phosphorus compounds.[58] Additionally, noble gases, traditionally inert, form compounds like xenon difluoride (XeF₂), a stable linear molecule synthesized by direct reaction of xenon and fluorine under controlled conditions, challenging the octet rule and revealing weak intermolecular forces in these species.[59] The d-block features ongoing debate regarding the composition of group 3, where scandium (Sc) and yttrium (Y) are unambiguously included, but the third member is contested between lanthanum (La) and lutetium (Lu), with hafnium (Hf) sometimes considered due to electronic similarities with zirconium (Zr). This stems from lanthanum's [Xe] 5d¹ 6s² configuration resembling transition metals more than typical lanthanides, while lutetium's filled 4f¹⁴ shell aligns better with f-block trends, influencing periodic table formatting in literature.[60] Furthermore, group 11 elements copper (Cu), silver (Ag), and gold (Au) possess a full d¹⁰ configuration in their neutral atoms ([Ar] 3d¹⁰ 4s¹ for Cu, analogous for others), yet exhibit transition metal characteristics like variable oxidation states (e.g., Cu⁺/Cu²⁺) and catalytic properties due to accessible d-orbital involvement in bonding.[61] In the f-block, cerium deviates by promoting an electron from the 4f to the 5d orbital, resulting in the configuration [Xe] 4f¹ 5d¹ 6s² instead of the expected [Xe] 4f² 6s², which enables its unique +4 oxidation state and facilitates phase transitions between α and γ forms.[62] Similarly, actinium displays d-block character with the electron configuration [Rn] 6d¹ 7s², lacking 5f involvement in its ground state, and thus behaves more like a transition metal with predominant +3 oxidation state and no observed f-electron localization./Descriptive_Chemistry/Elements_Organized_by_Block/4_f-Block_Elements/The_Actinides/1General_Properties_and_Reactions_of_The_Actinides) Relativistic effects introduce significant anomalies in heavier elements across blocks, particularly evident in gold's yellow color, which results from the relativistic contraction of the 6s orbital, raising its energy and allowing selective absorption of blue-violet light (around 500 nm) while transmitting yellow wavelengths. This contraction, increasing electron velocity near the nucleus to ~58% of light speed, also enhances gold's nobility by stabilizing the 6s² configuration.[63] The g-block remains entirely theoretical, predicted to appear in period 8 starting around element 121 with 7s² 5g¹ configuration, and thus exhibits no observed exceptions or deviations from trends.

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