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Concept 01 / 05Classification of Elements and Periodicity

The Modern Periodic Table: Periodic Law, Blocks and Locating Elements

From Dobereiner, Newlands and Mendeleev to the modern periodic law based on atomic number, the long form of the table with 18 groups and 7 periods, s, p, d and f blocks and their general configurations, predicting period, group and block from a configuration, and IUPAC names for new elements.

Figure 1
Early classifications. Dobereiner's triads grouped elements in threes where the middle element's atomic mass was roughly the average of the other two (Li, Na, K). Newlands' law of octaves noticed that properties repeated every eighth element, but it failed beyond calcium. Mendeleev (1869) arranged elements by increasing atomic mass in rows and columns so that similar elements fell in the same column; he left gaps for undiscovered elements and predicted their properties (eka-aluminium, later gallium, and eka-silicon, later germanium), and he placed some elements out of mass order when their properties demanded it. Anomalies remained, such as Ar (39.939.9) before K (39.139.1). Modern periodic law (Moseley, 1913). Moseley showed that the frequency of characteristic X-rays satisfies ν∝(Z−b)\sqrt{\nu} \propto (Z - b), so atomic number, not atomic mass, is the fundamental property. The modern law: the physical and chemical properties of elements are periodic functions of their atomic numbers. The reason is that properties depend on electronic configuration, which repeats periodically as shells fill. The long form of the table has 1818 vertical groups and 77 horizontal periods. The period number equals the principal quantum number of the outermost shell. Period lengths are 2,8,8,18,18,32,322, 8, 8, 18, 18, 32, 32, matching the number of electrons that can fill the nsns, (n−2)f(n - 2)f, (n−1)d(n - 1)d and npnp subshells in that period. Blocks, named after the subshell receiving the last electron (see figure): s-block (groups 11, 22): ns1−2ns^{1-2}; reactive metals (alkali and alkaline earth metals). p-block (groups 1313 to 1818): ns2np1−6ns^{2}np^{1-6}; metals, metalloids and non-metals, ending with the noble gases. Helium (1s21s^{2}) is placed in group 1818 for its properties although it is an s-element. d-block (groups 33 to 1212): (n−1)d1−10ns0−2(n - 1)d^{1-10}ns^{0-2}; transition metals. f-block: (n−2)f1−14(n−1)d0−1ns2(n - 2)f^{1-14}(n - 1)d^{0-1}ns^{2}; lanthanoids (Ce to Lu) and actinoids (Th to Lr), placed separately below the table. Hydrogen is unique: its 1s11s^{1} configuration resembles the alkali metals, but it also forms H−\mathrm{H^{-}} like the halogens. Locating an element from its configuration. Period == highest nn. Block == subshell receiving the last electron. Group: s-block, number of ss electrons; p-block, 10+10 + number of outer ss and pp electrons; d-block, number of (n−1)d(n - 1)d plus nsns electrons. Example: [Ar] 3d64s2[\mathrm{Ar}]\,3d^{6}4s^{2} is period 44, d-block, group 88 (iron). [Ne] 3s23p4[\mathrm{Ne}]\,3s^{2}3p^{4} is period 33, p-block, group 1616 (sulfur). IUPAC names for elements with Z>100Z > 100 (before official names are assigned) use numerical roots: 00 nil, 11 un, 22 bi, 33 tri, 44 quad, 55 pent, 66 hex, 77 sept, 88 oct, 99 enn, followed by '-ium'. Element 120120 would be unbinilium (Ubn). Key Takeaways: - Modern periodic law: properties are periodic functions of atomic number. - Period =n= n of the valence shell; period lengths 2,8,8,18,18,32,322, 8, 8, 18, 18, 32, 32. - s: groups 1-2; p: 13-18; d: 3-12; f: lanthanoids and actinoids. - p-block group =10+= 10 + (outer s+ps + p electrons); d-block group =(n−1)d+ns= (n - 1)d + ns electrons. - IUPAC provisional names from digit roots plus '-ium'. - Pitfall: placing an element in group (n−1)d(n - 1)d electrons only, forgetting the nsns electrons. Brain-Teaser 1: Identify the period, group and block of the element with Z=35Z = 35, and of Z=42Z = 42. Solution: Z=35Z = 35: [Ar] 3d104s24p5[\mathrm{Ar}]\,3d^{10}4s^{2}4p^{5}: period 44, p-block, group 10+7=1710 + 7 = 17 (bromine). Z=42Z = 42: [Kr] 4d55s1[\mathrm{Kr}]\,4d^{5}5s^{1} (molybdenum, like Cr, prefers the half-filled d set): period 55, d-block, group 5+1=65 + 1 = 6. Brain-Teaser 2: Why does the fourth period contain 1818 elements? Solution: In period 44 the subshells filled are 4s4s (22 electrons), 3d3d (1010) and 4p4p (66), in that order by the Aufbau principle. 2+10+6=182 + 10 + 6 = 18. The 4d4d and 4f4f subshells are higher in energy and fill in later periods. Period lengths are therefore determined by energy order, not by the capacity 2n22n^{2} of the shell. Brain-Teaser 3: What would be the IUPAC provisional name and symbol of element 119119, and in which group would it fall? Solution: Digits 11, 11, 99: un-un-enn-ium, ununennium, symbol Uue. Its configuration would be [Og] 8s1[\mathrm{Og}]\,8s^{1}, placing it in group 11 (period 88) as the next alkali metal.