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Aufbau principle

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1250: 1972: 1234: 58: 2680:. The subshell energies and their order depend on the nuclear charge; 4s is lower than 3d as per the Madelung rule in K with 19 protons, but 3d is lower in Sc with 21 protons. In addition to there being ample experimental evidence to support this view, it makes the explanation of the order of ionization of electrons in this and other 1182:, the electronic configuration can be built up by placing electrons in the lowest available subshell until the total number of electrons added is equal to the atomic number. Thus subshells are filled in the order of increasing energy, using two general rules to help predict electronic configurations: 2651:
In recent years it has been noted that the order of filling subshells in neutral atoms does not always correspond to the order of adding or removing electrons for a given atom. For example, in the fourth row of the periodic table, the Madelung rule indicates that the 4s subshell is occupied before
1945:
there are not expected to be many more elements that show the expected configuration from Madelung's rule beyond 120. The general idea that after the two 8s elements, there come regions of chemical activity of 5g, followed by 6f, followed by 7d, and then 8p, does however mostly seem to hold true,
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All these exceptions are not very relevant for chemistry, as the energy differences are quite small and the presence of a nearby atom can change the preferred configuration. The periodic table ignores them and follows idealised configurations. They occur as the result of interelectronic repulsion
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The Madelung energy ordering rule applies only to neutral atoms in their ground state. There are twenty elements (eleven in the d-block and nine in the f-block) for which the Madelung rule predicts an electron configuration that differs from that determined experimentally, although the
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more intelligible, given that 4s electrons are invariably preferentially ionized. Generally the Madelung rule should only be used for neutral atoms; however, even for neutral atoms there are exceptions in the d-block and f-block (as shown above).
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proposed this as an empirical rule for the order of filling atomic subshells, and most English-language sources therefore refer to the Madelung rule. Madelung may have been aware of this pattern as early as 1926. The Russian-American engineer
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energy ordering rule turned out to be an approximation rather than a perfect fit, although for all elements that are exceptions the regularised configuration is a low-energy excited state, well within reach of chemical bond energies.
1085:, placed in square brackets. For phosphorus, the last previous noble gas is neon, so the configuration is abbreviated to 3s 3p, where signifies the core electrons whose configuration in phosphorus is identical to that of neon. 2089:
values of the elements, since they did not accord with his energy ordering rule, and he considered that the discrepancies involved must have arisen from measurement errors. As it happens, the actual values were correct and the
1941:, starting the g-block, should be an exception in which the expected 5g electron is transferred to 8p (similarly to lawrencium). After this, sources do not agree on the predicted configurations, but due to very strong 1390:, electrons leave approximately in the order 6p, 6s, 5d, 4f, etc. On a related note, writing configurations in this way emphasizes the outermost electrons and their involvement in chemical bonding. 2322: 2486: 3042:
Kragh, Helge, '7 A Theory of the Chemical Elements', Niels Bohr and the Quantum Atom: The Bohr Model of Atomic Structure 1913–1925 (Oxford, 2012; online edn, Oxford Academic, 24 May 2012),
2190: 3595: 1054:, then fill subshells of higher energy. For example, the 1s subshell is filled before the 2s subshell is occupied. In this way, the electrons of an atom or ion form the most stable 839: 3702: 849: 1355:
value is filled first. The subshell ordering by this rule is 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p, 8s, 5g, ... For example, thallium (
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before any are occupied doubly. If double occupation does occur, the Pauli exclusion principle requires that electrons that occupy the same orbital must have different
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One inorganic chemistry textbook describes the Madelung rule as essentially an approximate empirical rule although with some theoretical justification, based on the
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to the properties of electrons and explained chemical properties in physical terms. Each added electron is subject to the electric field created by the positive
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This formula correctly predicts both the first and second parts of the Madelung rule (the second part being that for two subshells with the same value of
883: 819: 545: 1950:, which acts like an extra covering shell together with 8s and is slowly drowned into the core across the 5g and 6f series) and a destabilized part (8p 711: 182: 152: 3697: 814: 2864:
Jørgensen, Christian (1973). "The Loose Connection between Electron Configuration and the Chemical Behavior of the Heavy Elements (Transuranics)".
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in 1928, and in 1930 he made explicit the quantum basis of this pattern, based on knowledge of atomic ground states determined by the analysis of
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The full Madelung rule was derived from a similar potential in 1971 by Yury N. Demkov and Valentin N. Ostrovsky. They considered the potential
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is equal to 0, 1, 2, and 3 for s, p, d, and f subshells, so that the maximum numbers of electrons are 2, 6, 10, and 14 respectively. In the
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The valence d-subshell often "borrows" one electron (in the case of thorium two electrons) from the valence f-subshell. For example, in
203: 3531: 3289: 3248: 743: 694: 3630: 3362: 2905: 2808: 2774: 2729: 2226:, based on the Thomas–Fermi model of the atom. Many French- and Russian-language sources therefore refer to the Klechkowski rule. ' 3465:
Kitagawara, Y.; Barut, A.O. (1984). "On the dynamical symmetry of the periodic table. II. Modified Demkov-Ostrovsky atomic model".
131: 2036:'s model of the atom, including the effects of electron spin, provided a more complete explanation of the empirical aufbau rules. 2207:
fills first). Wiswesser argued for this formula based on the pattern of both angular and radial nodes, the concept now known as
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Ostrovsky, V.N. (2005). "On Recent Discussion Concerning Quantum Justification of the Periodic Table of the Elements".
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prior to quantum mechanics, electrons were supposed to occupy classical elliptical orbits. The orbits with the highest
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are "circular orbits" outside the inner electrons, but orbits with low angular momentum (s- and p-subshell) have high
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Karapetoff, Vladimir (1930). "A chart of consecutive sets of electronic orbits within atoms of chemical elements".
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Introduction to Quantum Mechanics 1: Thermal Radiation and Experimental Facts Regarding the Quantization of Matter
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Feynman, Richard; Leighton, Robert B.; Sands, Matthew (1964). "19. The Hydrogen Atom and The Periodic Table".
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was the first to publish the rule in 1930, though Janet also published an illustration of it the same year.
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In the old quantum theory, orbits with low angular momentum (s- and p-subshell) get closer to the nucleus.
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Electrons occupy the shells and sub-shells of an atom in approximate accordance with the Aufbau principle.
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Lr, where the 6d electron predicted by the Madelung rule is replaced by a 7p electron: the rule predicts
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d-subshell "borrows" one electron (in the case of palladium two electrons) from the valence s-subshell.
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Madelung-predicted electron configurations are at least close to the ground state even in those cases.
370: 3510: 3474: 3328: 3214: 3159: 3077: 2937: 2833: 2023: 1292: 738: 646: 503: 245: 1958:), and that the 8s shell gets replaced by the 9s shell as the covering s-shell for the 7d elements. 1327: = 0, 1, 2, 3 correspond to the s, p, d, and f subshells, respectively. Subshells with a lower 3677: 2108: 1214: 1101: 1017: 791: 3453: 3183: 2015: 1151:
and one electron are added each time to the neutral atom. The maximum number of electrons in any
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arises at zero energy and then becomes bound, recovering the Madelung order. The application of
2081:. This table came to be referred to as the left-step table. Janet "adjusted" some of the actual 2981: 2969: 1754:, the preceding noble gas. However, the measured electron configuration of the uranium atom is 1249: 3780: 3749: 3625: 3568: 3426: 3418: 3358: 3285: 3175: 3105: 2993: 2921: 2901: 2804: 2770: 2725: 2694: 2368: 2115: 2078: 1992: 1689:, the preceding noble gas. However, the measured electron configuration of the copper atom is 1299: 974: 771: 767: 763: 751: 603: 3794: 3765: 3518: 3495: 3482: 3445: 3222: 3167: 3132: 3095: 3085: 3043: 2985: 2945: 2873: 2841: 2681: 2215: 2019: 1445: 1140: 1070: 984: 929: 731: 676: 510: 433: 426: 419: 412: 405: 398: 391: 318: 311: 304: 126: 121: 3543: 2495: 3413: 2800: 2794: 1996: 1008: 888: 718: 297: 290: 283: 276: 269: 262: 255: 236: 229: 2625: 2599: 2552:
passes through each of these values, a manifold containing all states with that value of
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correspond to the principal and azimuthal quantum numbers respectively) was suggested by
1987:, "building-up principle", rather than being named for a scientist. It was formulated by 3514: 3478: 3332: 3218: 3163: 3081: 2941: 2837: 3642: 3620: 3615: 3316: 3171: 2716: 2579: 2555: 2535: 2394: 2374: 2350: 2330: 2103: 2033: 2007:
there is no energy difference between subshells with the same principal quantum number
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Other authors write the subshells outside of the noble gas core in order of increasing
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In neutral atoms, the approximate order in which subshells are filled is given by the
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proposed that the subshells are filled in order of increasing values of the function
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Electron Configurations, the Aufbau Principle, Degenerate Orbitals, and Hund's Rule
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the negative charge of other electrons that are bound to the nucleus. Although in
1405:= 0) are exceptional: their energy levels are appreciably far from those of their 3202: 3029:. Nobel Symposium NS160 – Chemistry and Physics of Heavy and Superheavy Elements. 1253:
For multielectron atoms the energy spectra of shells interleave resulting in the
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atom is ionized by removing electrons (only), the configurations differ: Sc is
441: 3789: 3449: 1988: 1934: 1783: 1701: 1537: 1481: 1387: 1063: 522: 57: 17: 3355:
Shattered Symmetry: Group Theory from the Eightfold Way to the Periodic Table
3203:"The Periodic System and Atomic Structure I. An Elementary Physical Approach" 3150:
Ostrovsky, Valentin N. (2003). "Physical Explanation of the Periodic Table".
2970:"Superheavy elements: a prediction of their chemical and physical properties" 1938: 1823: 1767: 1505: 1489: 1078: 568: 535: 369: 349: 339: 319: 3179: 3109: 2877: 1245:
value. The direction of the red arrow indicates the order of state filling.
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effects; when atoms are positively ionised, most of the anomalies vanish.
1746:= 6 + 2 = 8). The rule then predicts the electron configuration 1677:= 3 + 2 = 5). The rule then predicts the electron configuration 3573: 2665: 2004: 1791: 1521: 1457: 1043: 555: 527: 30:"Atomic build-up" redirects here. For the spread of nuclear weapons, see 3073: 2652:
the 3d. Therefore, the neutral atom ground state configuration for K is
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except that relativity "splits" the 8p shell into a stabilized part (8p
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Electrons are assigned to subshells in order of increasing value of
2211:, and the influence of the core electrons on the valence orbitals. 3249:"Justification of the Rule for Successive Filling of (n+l) Groups" 1970: 1751: 1686: 1248: 1232: 490: 56: 3317:"n+l Filling Rule in the Periodic System and Focusing Potentials" 2824:
Ostrovsky, V. N. (1981). "Dynamic symmetry of atomic potential".
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proposed a theoretical explanation for the importance of the sum
230: 1529: 1035: 3577: 2717:"Chapter 5: Ground state properties of nuclei: the shell model" 1167:. The maximum number of electrons in a subshell is equal to 2(2 1066:
atom, meaning that the 1s subshell has 2 electrons, and so on.
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periodic table in which each row corresponds to one value of
1933:
The above exceptions are predicted to be the only ones until
999: 990: 2011:, this is not true for the outer electrons of other atoms. 1738:= 5 + 3 = 8) is occupied before the 6d subshell ( 1669:= 4 + 0 = 4) is occupied before the 3d subshell ( 1069:
The configuration is often abbreviated by writing only the
1436:
of the atom as a many-electron quantum-mechanical system.
1205:, electrons are assigned first to the subshell with lower 3044:
https://doi.org/10.1093/acprof:oso/9780199654987.003.0007
1693:. By filling the 3d subshell, copper can be in a lower 1088:
Electron behavior is elaborated by other principles of
2528:
for this potential can be described analytically with
1401:
value have similar energies, but the s-orbitals (with
2628: 2602: 2582: 2558: 2538: 2498: 2420: 2397: 2377: 2353: 2333: 2317:{\displaystyle U_{1/2}(r)=-{\frac {2v}{rR(r+R)^{2}}}} 2238: 2127: 1991:
in the early 1920s. This was an early application of
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Cu, according to the Madelung rule, the 4s subshell (
1425:
is usually drawn to begin with the s-block elements.
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U, according to the Madelung rule, the 5f subshell (
1359: = 81) has the ground-state configuration 1217:
is used to predict the configuration of protons and
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Electron configurations of the elements (data page)
3690: 3641: 987: 413: 399: 2826:Journal of Physics B: Atomic and Molecular Physics 2715: 2640: 2614: 2588: 2564: 2544: 2516: 2480: 2403: 2383: 2359: 2339: 2316: 2184: 2596:have lower energy, and that the s-orbitals (with 2481:{\displaystyle v=v_{N}={\frac {1}{4}}R^{2}N(N+1)} 1077:are replaced by the symbol for the last previous 3315:Demkov, Yury N.; Ostrovsky, Valentin N. (1972). 392: 3321:Journal of Experimental and Theoretical Physics 3253:Journal of Experimental and Theoretical Physics 3058:"The Order of Electron Shells in Ionized Atoms" 2974:Recent Impact of Physics on Inorganic Chemistry 1386:. They do so to emphasize that if this atom is 1237:The states crossed by same red arrow have same 1213:A version of the aufbau principle known as the 1104:are available, electrons will occupy different 1967:The aufbau principle in the new quantum theory 3589: 3357:. Oxford University Press. pp. 360–381. 950: 8: 3496:"Transition Metals and the Aufbau Principle" 2714:Cottingham, W. N.; Greenwood, D. A. (1986). 2185:{\displaystyle W(n,l)=n+l-{\frac {l}{l+1}}.} 1981: 1361:1s 2s 2p 3s 3p 4s 3d 4p 5s 4d 5p 6s 4f 5d 6p 1319:represents the principal quantum number and 3407:Image: Understanding order of shell filling 3353:Thyssen, Pieter; Ceulemans, Arnout (2017). 3056:Goudsmit, S. A.; Richards, Paul I. (1964). 2859: 2857: 2855: 2769:(2nd ed.). Prentice Hall. p. 38. 2765:Miessler, Gary L.; Tarr, Donald A. (1998). 2622:) have their energies approaching the next 2367:are constant parameters; this approaches a 3596: 3582: 3574: 3152:Annals of the New York Academy of Sciences 3023:Is the Periodic Table all right ("PT OK")? 1979:The principle takes its name from German, 1413:group and are closer to those of the next 1335:value are filled before those with higher 1058:possible. An example is the configuration 957: 943: 36: 3099: 3089: 2963: 2961: 2949: 2627: 2601: 2581: 2557: 2537: 2497: 2454: 2440: 2431: 2419: 2396: 2376: 2352: 2332: 2305: 2272: 2247: 2243: 2237: 2214:In 1961 the Russian agricultural chemist 2161: 2126: 1323:the azimuthal quantum number; the values 3698:Periodic table (electron configurations) 3038: 3036: 2889: 2887: 1954:, which has nearly the same energy as 9p 1760: 1450: 3380:"The Trouble With the Aufbau Principle" 2866:Angewandte Chemie International Edition 2788: 2786: 2706: 48: 2799:(1st ed.). McGraw-Hill. pp.  3310: 3308: 1197:For subshells with the same value of 7: 2203:, the one with the smaller value of 1750:where denotes the configuration of 1711:, but the measured configuration is 1685:where denotes the configuration of 1393:In general, subshells with the same 1363:or in condensed form, 6s 4f 5d 6p. 1102:multiple orbitals of the same energy 3201:Wiswesser, William J. (July 1945). 2524:, the zero-energy solutions to the 1937:, where the 8s shell is completed. 1343:values. In the many cases of equal 3172:10.1111/j.1749-6632.2003.tb06097.x 2722:An introduction to nuclear physics 1351:values, the subshell with a lower 25: 3631:Introduction to quantum mechanics 3425:. Berlin: Springer Science 2008, 3125:Journal of the Franklin Institute 3072:(4): 664–671 (with correction in 3378:Scerri, Eric (7 November 2013). 983: 3494:Vanquickenborne, L. G. (1994). 3423:Chemistry from First Principles 2900:. Vol. 3. Addison–Wesley. 2897:The Feynman Lectures on Physics 2926:"Misapplying the Periodic Law" 2724:. Cambridge University Press. 2576:show that states with smaller 2475: 2463: 2302: 2289: 2263: 2257: 2143: 2131: 2102:In 1936, the German physicist 1143:to another of the next higher 1100:. Hund's rule asserts that if 1: 3503:Journal of Chemical Education 3207:Journal of Chemical Education 3137:10.1016/S0016-0032(30)91131-3 2930:Journal of Chemical Education 1229:Madelung energy ordering rule 546:dividing metals and nonmetals 3821:Foundational quantum physics 3388:. Vol. 50, no. 6. 3691:Ground-state configurations 3487:10.1088/0022-3700/17/21/013 3247:Klechkovskii, V.M. (1962). 2846:10.1088/0022-3700/14/23/008 1171: + 1), where the 214:By periodic table structure 27:Principle of atomic physics 3842: 3660:Azimuthal quantum number ( 3651:Principal quantum number ( 3390:Royal Society of Chemistry 2796:Modern Inorganic Chemistry 2793:Jolly, William L. (1984). 2114:In 1945, American chemist 1370:, or if equal, increasing 904:expansion coefficient 780:Goldschmidt classification 29: 3719:Pauli exclusion principle 3669:Magnetic quantum number ( 3611: 3450:10.1007/s10698-005-2141-y 2976:. Structure and Bonding. 2968:Fricke, Burkhard (1975). 2664:and so on. However, if a 2411:satisfies the condition 1719:Exceptions in the f-block 1440:Exceptions in the d-block 1273:rule, also known as the: 1108:singly and with the same 1098:Pauli exclusion principle 688:List of chemical elements 3438:Foundations of Chemistry 3278:Sakho, Ibrahima (2019). 3046:, accessed 23 Feb. 2024. 2832:(23): 4425–4439 (4429). 2746:"Electron configuration" 1298:Wiswesser's rule (after 1291:Klechkowsky rule (after 1173:azimuthal quantum number 1165:principal quantum number 1050:of the lowest available 1026:'), also called the 581:By other characteristics 191:Systematic element names 1700:A special exception is 1421:group. This is why the 804:Data pages for elements 483:metallic classification 249:(alkaline earth metals) 3605:Electron configuration 3532:"On the Madelung Rule" 3385:Education in Chemistry 3284:. Wiley. p. 115. 3066:Proc. Natl. Acad. Sci. 3020:Pyykkö, Pekka (2016). 2878:10.1002/anie.197300121 2642: 2616: 2590: 2566: 2546: 2530:Gegenbauer polynomials 2518: 2482: 2405: 2385: 2361: 2341: 2318: 2186: 1999:of the atomic nucleus 1982: 1976: 1262: 1246: 1073:explicitly, while the 1056:electron configuration 1012: 840:Electrical resistivity 732:Properties of elements 115:Periodic table history 62: 3759:Bonding participation 3678:Spin quantum number ( 3530:Scerri, E.R. (2017). 3091:10.1073/pnas.51.4.664 2643: 2617: 2591: 2567: 2547: 2519: 2517:{\displaystyle N=n+l} 2483: 2406: 2386: 2362: 2342: 2319: 2187: 2065:(where the values of 2024:subshell eccentricity 1974: 1679:1s 2s 2p 3s 3p 3d 4s 1308:(building-up) rule or 1277:Madelung rule (after 1252: 1236: 1030:, states that in the 1024:building-up principle 592:Platinum-group metals 141:Discovery of elements 60: 32:Nuclear proliferation 2754:. 19 September 2013. 2626: 2600: 2580: 2556: 2536: 2526:Schrödinger equation 2496: 2418: 2395: 2375: 2351: 2331: 2236: 2125: 2050:energy ordering rule 1943:relativistic effects 1293:Vsevolod Klechkovsky 874:of vaporization 739:Relative atomic mass 712:by isotope stability 707:by atomic properties 70:Periodic table forms 3542:(3). Archived from 3515:1994JChEd..71..469V 3479:1984JPhB...17.4251K 3333:1972JETP...35...66D 3219:1945JChEd..22..314W 3164:2003NYASA.988..182O 3082:1964PNAS...51..664G 2942:2009JChEd..86.1186J 2838:1981JPhB...14.4425O 2767:Inorganic Chemistry 2641:{\displaystyle n+l} 2615:{\displaystyle l=0} 2574:perturbation-theory 2209:orbital penetration 2109:Vladimir Karapetoff 1215:nuclear shell model 640:Rare-earth elements 635:Main-group elements 3412:2014-11-15 at the 2990:10.1007/BFb0116498 2951:10.1021/ed086p1186 2922:Jensen, William B. 2638: 2612: 2586: 2562: 2542: 2514: 2478: 2401: 2381: 2357: 2337: 2314: 2182: 2016:old quantum theory 1977: 1920:5f 6d 7s 1917:5f 6d 7s 1914:5f 6d 7s 1905:4f 5d 6s 1902:4f 5d 6s 1434:Thomas–Fermi model 1284:Janet rule (after 1263: 1247: 63: 3803: 3802: 3781:Electron counting 3750:Unpaired electron 3626:Quantum mechanics 3569:Purdue University 3523:10.1021/ed071p469 3431:978-1-4020-8546-8 3419:Boeyens, J. C. A. 3392:. pp. 24–26. 3227:10.1021/ed022p314 2999:978-3-540-07109-9 2695:Ionization energy 2682:transition metals 2589:{\displaystyle n} 2565:{\displaystyle N} 2545:{\displaystyle v} 2448: 2404:{\displaystyle v} 2384:{\displaystyle r} 2369:Coulomb potential 2360:{\displaystyle v} 2340:{\displaystyle R} 2312: 2177: 2116:William Wiswesser 1993:quantum mechanics 1927: 1926: 1652: 1651: 1382: = 81) 1300:William Wiswesser 1139:Passing from one 1071:valence electrons 1021: 975:quantum chemistry 967: 966: 879:Ionization energy 855:Electronegativity 764:Electronegativity 744:Crystal structure 604:Refractory metals 453:(s, p, d, f, ...) 16:(Redirected from 3833: 3826:Chemical bonding 3795:18-electron rule 3766:Valence electron 3738:Electron pairing 3729:Aufbau principle 3712:Electron filling 3681: 3672: 3663: 3654: 3598: 3591: 3584: 3575: 3554: 3552: 3551: 3526: 3500: 3490: 3461: 3394: 3393: 3375: 3369: 3368: 3350: 3344: 3343: 3341: 3339: 3312: 3303: 3302: 3300: 3298: 3275: 3269: 3268: 3266: 3264: 3244: 3238: 3237: 3235: 3233: 3198: 3192: 3191: 3147: 3141: 3140: 3120: 3114: 3113: 3103: 3093: 3062: 3053: 3047: 3040: 3031: 3030: 3028: 3017: 3011: 3010: 3008: 3006: 2965: 2956: 2955: 2953: 2918: 2912: 2911: 2891: 2882: 2881: 2861: 2850: 2849: 2821: 2815: 2814: 2790: 2781: 2780: 2762: 2756: 2755: 2742: 2736: 2735: 2719: 2711: 2679: 2675: 2671: 2663: 2659: 2655: 2647: 2645: 2644: 2639: 2621: 2619: 2618: 2613: 2595: 2593: 2592: 2587: 2571: 2569: 2568: 2563: 2551: 2549: 2548: 2543: 2523: 2521: 2520: 2515: 2487: 2485: 2484: 2479: 2459: 2458: 2449: 2441: 2436: 2435: 2410: 2408: 2407: 2402: 2390: 2388: 2387: 2382: 2366: 2364: 2363: 2358: 2346: 2344: 2343: 2338: 2323: 2321: 2320: 2315: 2313: 2311: 2310: 2309: 2281: 2273: 2256: 2255: 2251: 2225: 2216:V.M. Klechkowski 2202: 2191: 2189: 2188: 2183: 2178: 2176: 2162: 2097: 2088: 2072: 2063: 2048: 2020:angular momentum 1985: 1761: 1757: 1749: 1745: 1737: 1714: 1710: 1692: 1684: 1680: 1676: 1668: 1654:For example, in 1451: 1420: 1412: 1404: 1400: 1385: 1362: 1350: 1342: 1334: 1326: 1322: 1272: 1260: 1244: 1204: 1193: 1177: 1170: 1135: 1134: 1130: 1125: 1124: 1120: 1061: 1016: 1006: 1005: 1002: 1001: 998: 995: 992: 989: 979:Aufbau principle 959: 952: 945: 930:Chemistry Portal 564:nonmetal halogen 467:Aufbau principle 443: 436: 429: 422: 415: 408: 401: 394: 375: 365: 355: 345: 335: 328: 321: 314: 307: 300: 293: 286: 279: 272: 265: 258: 251: 240: 232: 204:Sets of elements 132:1869 predictions 102: 96: 92: 37: 21: 3841: 3840: 3836: 3835: 3834: 3832: 3831: 3830: 3816:Electron states 3806: 3805: 3804: 3799: 3775: 3754: 3733: 3707: 3686: 3679: 3670: 3661: 3652: 3643:Quantum numbers 3637: 3607: 3602: 3561: 3549: 3547: 3529: 3498: 3493: 3473:(21): 4251–59. 3464: 3435: 3414:Wayback Machine 3403: 3401:Further reading 3398: 3397: 3377: 3376: 3372: 3365: 3352: 3351: 3347: 3337: 3335: 3314: 3313: 3306: 3296: 3294: 3292: 3277: 3276: 3272: 3262: 3260: 3246: 3245: 3241: 3231: 3229: 3200: 3199: 3195: 3149: 3148: 3144: 3122: 3121: 3117: 3060: 3055: 3054: 3050: 3041: 3034: 3026: 3019: 3018: 3014: 3004: 3002: 3000: 2967: 2966: 2959: 2920: 2919: 2915: 2908: 2893: 2892: 2885: 2863: 2862: 2853: 2823: 2822: 2818: 2811: 2792: 2791: 2784: 2777: 2764: 2763: 2759: 2744: 2743: 2739: 2732: 2713: 2712: 2708: 2703: 2691: 2677: 2673: 2669: 2661: 2657: 2653: 2624: 2623: 2598: 2597: 2578: 2577: 2554: 2553: 2534: 2533: 2494: 2493: 2450: 2427: 2416: 2415: 2393: 2392: 2373: 2372: 2349: 2348: 2329: 2328: 2301: 2282: 2274: 2239: 2234: 2233: 2223: 2200: 2166: 2123: 2122: 2095: 2086: 2070: 2061: 2052: 2046: 1969: 1964: 1957: 1953: 1949: 1841:Core electrons 1834: 1826: 1818: 1810: 1802: 1794: 1786: 1778: 1770: 1755: 1747: 1743: 1735: 1729: 1721: 1712: 1708: 1706: 1690: 1682: 1678: 1674: 1666: 1660: 1547:Core electrons 1540: 1532: 1524: 1516: 1508: 1500: 1492: 1484: 1476: 1468: 1460: 1442: 1418: 1410: 1402: 1398: 1383: 1360: 1348: 1340: 1332: 1324: 1320: 1270: 1258: 1242: 1231: 1202: 1191: 1175: 1168: 1132: 1128: 1127: 1122: 1118: 1117: 1059: 986: 982: 963: 914: 913: 889:Oxidation state 805: 797: 796: 734: 724: 723: 690: 680: 669: 668: 599:Precious metals 582: 574: 573: 516:post-transition 485: 474: 473: 462:Atomic orbitals 215: 207: 196: 195: 117: 107: 106: 100: 94: 90: 71: 35: 28: 23: 22: 15: 12: 11: 5: 3839: 3837: 3829: 3828: 3823: 3818: 3808: 3807: 3801: 3800: 3798: 3797: 3792: 3786: 3784: 3777: 3776: 3774: 3773: 3768: 3762: 3760: 3756: 3755: 3753: 3752: 3747: 3741: 3739: 3735: 3734: 3732: 3731: 3726: 3721: 3715: 3713: 3709: 3708: 3706: 3705: 3700: 3694: 3692: 3688: 3687: 3685: 3684: 3675: 3666: 3657: 3647: 3645: 3639: 3638: 3636: 3635: 3634: 3633: 3623: 3621:Atomic orbital 3618: 3616:Electron shell 3612: 3609: 3608: 3603: 3601: 3600: 3593: 3586: 3578: 3572: 3571: 3560: 3559:External links 3557: 3556: 3555: 3527: 3509:(6): 469–471. 3491: 3462: 3433: 3416: 3402: 3399: 3396: 3395: 3370: 3363: 3345: 3304: 3291:978-1786304872 3290: 3270: 3239: 3213:(7): 314–322. 3193: 3158:(1): 182–192. 3142: 3131:(5): 609–624. 3115: 3074:issue 5, p 906 3048: 3032: 3012: 2998: 2957: 2913: 2906: 2883: 2851: 2816: 2809: 2782: 2775: 2757: 2737: 2730: 2705: 2704: 2702: 2699: 2698: 2697: 2690: 2687: 2637: 2634: 2631: 2611: 2608: 2605: 2585: 2561: 2541: 2513: 2510: 2507: 2504: 2501: 2490: 2489: 2477: 2474: 2471: 2468: 2465: 2462: 2457: 2453: 2447: 2444: 2439: 2434: 2430: 2426: 2423: 2400: 2380: 2356: 2336: 2325: 2324: 2308: 2304: 2300: 2297: 2294: 2291: 2288: 2285: 2280: 2277: 2271: 2268: 2265: 2262: 2259: 2254: 2250: 2246: 2242: 2193: 2192: 2181: 2175: 2172: 2169: 2165: 2160: 2157: 2154: 2151: 2148: 2145: 2142: 2139: 2136: 2133: 2130: 2104:Erwin Madelung 2079:atomic spectra 2051: 2038: 2034:Wolfgang Pauli 2028:nuclear charge 1968: 1965: 1963: 1960: 1955: 1951: 1947: 1925: 1924: 1921: 1918: 1915: 1912: 1909: 1906: 1903: 1900: 1897: 1893: 1892: 1889: 1886: 1883: 1880: 1877: 1874: 1871: 1868: 1865: 1864:Madelung rule 1861: 1860: 1858: 1856: 1854: 1852: 1850: 1848: 1846: 1844: 1842: 1838: 1837: 1832: 1829: 1824: 1821: 1816: 1813: 1808: 1805: 1800: 1797: 1792: 1789: 1784: 1781: 1776: 1773: 1768: 1765: 1727: 1720: 1717: 1704: 1681:, abbreviated 1658: 1650: 1649: 1646: 1643: 1640: 1637: 1634: 1631: 1628: 1625: 1622: 1619: 1616: 1612: 1611: 1608: 1605: 1602: 1599: 1596: 1593: 1590: 1587: 1584: 1581: 1578: 1577:Madelung rule 1574: 1573: 1570: 1567: 1564: 1562: 1560: 1558: 1556: 1554: 1552: 1550: 1548: 1544: 1543: 1538: 1535: 1530: 1527: 1522: 1519: 1514: 1511: 1506: 1503: 1498: 1495: 1490: 1487: 1482: 1479: 1474: 1471: 1466: 1463: 1458: 1455: 1441: 1438: 1423:periodic table 1378:, such as Tl ( 1313: 1312: 1309: 1303: 1296: 1289: 1282: 1279:Erwin Madelung 1230: 1227: 1223:atomic nucleus 1211: 1210: 1195: 1090:atomic physics 1083:periodic table 1075:core electrons 1060:1s 2s 2p 3s 3p 971:atomic physics 965: 964: 962: 961: 954: 947: 939: 936: 935: 934: 933: 926: 916: 915: 912: 911: 909:Vapor pressure 906: 896: 894:Speed of sound 891: 886: 881: 876: 870:of fusion 862: 857: 852: 844:Electron  842: 837: 832: 827: 825:Critical point 822: 817: 812: 806: 803: 802: 799: 798: 795: 794: 789: 783: 782: 776: 775: 760: 759: 754: 747: 746: 741: 735: 730: 729: 726: 725: 722: 721: 715: 714: 709: 703: 702: 691: 686: 685: 682: 681: 674: 671: 670: 667: 666: 651: 650: 643: 642: 637: 631: 630: 625: 619: 618: 613: 607: 606: 601: 595: 594: 589: 587:Coinage metals 583: 580: 579: 576: 575: 572: 571: 566: 560: 559: 551: 550: 549: 548: 540: 539: 531: 530: 525: 519: 518: 513: 507: 506: 504:alkaline earth 501: 495: 494: 486: 480: 479: 476: 475: 472: 471: 470: 469: 464: 456: 455: 446: 445: 438: 431: 424: 417: 410: 403: 396: 388: 387: 378: 377: 367: 357: 347: 337: 330: 323: 316: 309: 302: 295: 288: 281: 274: 267: 260: 253: 243: 226: 225: 216: 213: 212: 209: 208: 201: 198: 197: 194: 193: 187: 186: 178: 177: 176: 175: 170: 165: 157: 156: 144: 143: 137: 136: 135: 134: 129: 118: 113: 112: 109: 108: 105: 104: 84: 83: 78: 72: 69: 68: 65: 64: 53: 52: 50:Periodic table 46: 45: 26: 24: 18:Wiswesser rule 14: 13: 10: 9: 6: 4: 3: 2: 3838: 3827: 3824: 3822: 3819: 3817: 3814: 3813: 3811: 3796: 3793: 3791: 3788: 3787: 3785: 3782: 3778: 3772: 3771:Core electron 3769: 3767: 3764: 3763: 3761: 3757: 3751: 3748: 3746: 3745:Electron pair 3743: 3742: 3740: 3736: 3730: 3727: 3725: 3722: 3720: 3717: 3716: 3714: 3710: 3704: 3701: 3699: 3696: 3695: 3693: 3689: 3683: 3676: 3674: 3667: 3665: 3658: 3656: 3649: 3648: 3646: 3644: 3640: 3632: 3629: 3628: 3627: 3624: 3622: 3619: 3617: 3614: 3613: 3610: 3606: 3599: 3594: 3592: 3587: 3585: 3580: 3579: 3576: 3570: 3566: 3563: 3562: 3558: 3546:on 2017-04-12 3545: 3541: 3537: 3533: 3528: 3524: 3520: 3516: 3512: 3508: 3504: 3497: 3492: 3488: 3484: 3480: 3476: 3472: 3468: 3463: 3459: 3455: 3451: 3447: 3444:(3): 235–39. 3443: 3439: 3434: 3432: 3428: 3424: 3420: 3417: 3415: 3411: 3408: 3405: 3404: 3400: 3391: 3387: 3386: 3381: 3374: 3371: 3366: 3364:9780190611392 3360: 3356: 3349: 3346: 3334: 3330: 3326: 3322: 3318: 3311: 3309: 3305: 3293: 3287: 3283: 3282: 3274: 3271: 3258: 3254: 3250: 3243: 3240: 3228: 3224: 3220: 3216: 3212: 3208: 3204: 3197: 3194: 3189: 3185: 3181: 3177: 3173: 3169: 3165: 3161: 3157: 3153: 3146: 3143: 3138: 3134: 3130: 3126: 3119: 3116: 3111: 3107: 3102: 3097: 3092: 3087: 3083: 3079: 3075: 3071: 3068: 3067: 3059: 3052: 3049: 3045: 3039: 3037: 3033: 3025: 3024: 3016: 3013: 3001: 2995: 2991: 2987: 2983: 2979: 2975: 2971: 2964: 2962: 2958: 2952: 2947: 2943: 2939: 2935: 2931: 2927: 2923: 2917: 2914: 2909: 2907:0-201-02115-3 2903: 2899: 2898: 2890: 2888: 2884: 2879: 2875: 2871: 2867: 2860: 2858: 2856: 2852: 2847: 2843: 2839: 2835: 2831: 2827: 2820: 2817: 2812: 2810:0-07-032760-2 2806: 2802: 2798: 2797: 2789: 2787: 2783: 2778: 2776:0-13-841891-8 2772: 2768: 2761: 2758: 2753: 2752: 2747: 2741: 2738: 2733: 2731:0-521-31960-9 2727: 2723: 2718: 2710: 2707: 2700: 2696: 2693: 2692: 2688: 2686: 2683: 2667: 2649: 2635: 2632: 2629: 2609: 2606: 2603: 2583: 2575: 2559: 2539: 2531: 2527: 2511: 2508: 2505: 2502: 2499: 2472: 2469: 2466: 2460: 2455: 2451: 2445: 2442: 2437: 2432: 2428: 2424: 2421: 2414: 2413: 2412: 2398: 2378: 2370: 2354: 2334: 2306: 2298: 2295: 2292: 2286: 2283: 2278: 2275: 2269: 2266: 2260: 2252: 2248: 2244: 2240: 2232: 2231: 2230: 2227: 2222: +  2221: 2217: 2212: 2210: 2206: 2199: +  2198: 2179: 2173: 2170: 2167: 2163: 2158: 2155: 2152: 2149: 2146: 2140: 2137: 2134: 2128: 2121: 2120: 2119: 2117: 2112: 2110: 2105: 2100: 2094: +  2093: 2085: +  2084: 2080: 2076: 2075:Charles Janet 2068: 2064: 2060: +  2059: 2049: 2044: +  2043: 2039: 2037: 2035: 2031: 2029: 2025: 2021: 2017: 2012: 2010: 2006: 2002: 1998: 1994: 1990: 1986: 1984: 1983:Aufbauprinzip 1973: 1966: 1961: 1959: 1944: 1940: 1936: 1931: 1923:5f6d 7s 1922: 1919: 1916: 1913: 1910: 1907: 1904: 1901: 1898: 1896:Experimental 1895: 1894: 1890: 1887: 1884: 1881: 1878: 1875: 1872: 1869: 1866: 1863: 1862: 1859: 1857: 1855: 1853: 1851: 1849: 1847: 1845: 1843: 1840: 1839: 1836: 1830: 1828: 1822: 1820: 1814: 1812: 1806: 1804: 1798: 1796: 1790: 1788: 1782: 1780: 1774: 1772: 1766: 1763: 1762: 1759: 1753: 1742: +  1741: 1734: +  1733: 1726: 1718: 1716: 1703: 1698: 1696: 1688: 1673: +  1672: 1665: +  1664: 1657: 1647: 1644: 1641: 1638: 1635: 1632: 1629: 1626: 1623: 1620: 1617: 1615:Experimental 1614: 1613: 1609: 1606: 1603: 1600: 1597: 1594: 1591: 1588: 1585: 1582: 1579: 1576: 1575: 1571: 1568: 1565: 1563: 1561: 1559: 1557: 1555: 1553: 1551: 1549: 1546: 1545: 1542: 1536: 1534: 1528: 1526: 1520: 1518: 1512: 1510: 1504: 1502: 1496: 1494: 1488: 1486: 1480: 1478: 1472: 1470: 1464: 1462: 1456: 1453: 1452: 1449: 1447: 1439: 1437: 1435: 1430: 1426: 1424: 1417: +  1416: 1409: +  1408: 1397: +  1396: 1391: 1389: 1381: 1377: 1373: 1369: 1364: 1358: 1354: 1347: +  1346: 1339: +  1338: 1331: +  1330: 1318: 1311:diagonal rule 1310: 1307: 1304: 1301: 1297: 1294: 1290: 1287: 1286:Charles Janet 1283: 1280: 1276: 1275: 1274: 1269: +  1268: 1257: +  1256: 1251: 1241: +  1240: 1235: 1228: 1226: 1224: 1220: 1216: 1208: 1201: +  1200: 1196: 1190: +  1189: 1185: 1184: 1183: 1181: 1174: 1166: 1162: 1158: 1154: 1150: 1146: 1145:atomic number 1142: 1137: 1115: 1111: 1107: 1103: 1099: 1095: 1091: 1086: 1084: 1080: 1076: 1072: 1067: 1065: 1057: 1053: 1049: 1045: 1041: 1037: 1033: 1029: 1025: 1019: 1014: 1013:Aufbauprinzip 1010: 1004: 980: 976: 972: 960: 955: 953: 948: 946: 941: 940: 938: 937: 932: 931: 927: 925: 924: 920: 919: 918: 917: 910: 907: 905: 902: /  901: 898:Thermal  897: 895: 892: 890: 887: 885: 884:Melting point 882: 880: 877: 875: 872: /  871: 868: /  867: 863: 861: 858: 856: 853: 851: 850:configuration 848: /  847: 843: 841: 838: 836: 833: 831: 828: 826: 823: 821: 820:Boiling point 818: 816: 815:Atomic radius 813: 811: 808: 807: 801: 800: 793: 790: 788: 785: 784: 781: 778: 777: 773: 769: 765: 762: 761: 758: 757:configuration 755: 753: 749: 748: 745: 742: 740: 737: 736: 733: 728: 727: 720: 717: 716: 713: 710: 708: 705: 704: 700: 699:in human body 696: 693: 692: 689: 684: 683: 679: 678: 673: 672: 664: 660: 656: 653: 652: 648: 645: 644: 641: 638: 636: 633: 632: 629: 626: 624: 623:Native metals 621: 620: 617: 614: 612: 609: 608: 605: 602: 600: 597: 596: 593: 590: 588: 585: 584: 578: 577: 570: 567: 565: 562: 561: 558: 557: 553: 552: 547: 544: 543: 542: 541: 538: 537: 533: 532: 529: 526: 524: 521: 520: 517: 514: 512: 509: 508: 505: 502: 500: 497: 496: 493: 492: 488: 487: 484: 478: 477: 468: 465: 463: 460: 459: 458: 457: 454: 452: 448: 447: 444: 439: 437: 432: 430: 425: 423: 418: 416: 411: 409: 404: 402: 397: 395: 390: 389: 386: 384: 380: 379: 376: 374: 373:(noble gases) 368: 366: 364: 358: 356: 354: 348: 346: 344: 338: 336: 331: 329: 324: 322: 317: 315: 310: 308: 303: 301: 296: 294: 289: 287: 282: 280: 275: 273: 268: 266: 261: 259: 254: 252: 250: 244: 241: 239: 238:alkali metals 233: 228: 227: 224: 222: 218: 217: 211: 210: 206: 205: 200: 199: 192: 189: 188: 184: 180: 179: 174: 173:controversies 171: 169: 166: 164: 161: 160: 159: 158: 155: 154: 150: 146: 145: 142: 139: 138: 133: 130: 128: 125: 124: 123: 120: 119: 116: 111: 110: 99: 89: 86: 85: 82: 79: 77: 74: 73: 67: 66: 59: 55: 54: 51: 47: 43: 39: 38: 33: 19: 3728: 3548:. Retrieved 3544:the original 3539: 3535: 3506: 3502: 3470: 3466: 3441: 3437: 3422: 3383: 3373: 3354: 3348: 3336:. Retrieved 3327:(1): 66–69. 3324: 3320: 3295:. Retrieved 3280: 3273: 3261:. Retrieved 3256: 3252: 3242: 3230:. Retrieved 3210: 3206: 3196: 3155: 3151: 3145: 3128: 3124: 3118: 3069: 3064: 3051: 3022: 3015: 3003:. Retrieved 2977: 2973: 2936:(10): 1186. 2933: 2929: 2916: 2896: 2872:(1): 12–19. 2869: 2865: 2829: 2825: 2819: 2795: 2766: 2760: 2749: 2740: 2721: 2709: 2676:, and Sc is 2650: 2491: 2326: 2228: 2219: 2213: 2204: 2196: 2194: 2113: 2101: 2091: 2082: 2066: 2057: 2053: 2045: 2041: 2032: 2013: 2008: 2000: 1980: 1978: 1932: 1928: 1739: 1731: 1722: 1699: 1695:energy state 1670: 1662: 1653: 1443: 1431: 1427: 1414: 1406: 1394: 1392: 1379: 1375: 1371: 1367: 1365: 1356: 1352: 1344: 1336: 1328: 1316: 1314: 1305: 1266: 1264: 1254: 1238: 1212: 1206: 1198: 1187: 1180:ground state 1160: 1156: 1138: 1087: 1068: 1032:ground state 1027: 1023: 978: 968: 928: 921: 900:conductivity 695:by abundance 675: 647:Transuranium 628:Noble metals 616:Light metals 611:Heavy metals 554: 534: 489: 466: 449: 381: 372: 362: 353:(chalcogens) 352: 343:(pnictogens) 342: 248: 237: 219: 202: 183:in East Asia 147: 122:D. Mendeleev 3724:Hund's rule 3338:25 November 3232:5 September 1939:Element 121 1935:element 120 1891:5f 7s 1648:7s 7p 1610:6d 7s 1384:4f 5d 6s 6p 1094:Hund's rule 1046:first fill 1028:Aufbau rule 88:Alternative 3810:Categories 3790:Octet rule 3550:2018-04-15 3467:J. Phys. B 2701:References 2371:for small 1989:Niels Bohr 1911:6d 7s 1908:6d 7s 1899:5d 6s 1888:5f 7s 1885:5f 7s 1882:5f 7s 1879:5f 7s 1876:5f 7s 1873:4f 6s 1870:4f 6s 1867:4f 6s 1702:lawrencium 1645:5d 6s 1642:5d 6s 1639:4d 5s 1633:4d 5s 1630:4d 5s 1627:4d 5s 1624:4d 5s 1621:3d 4s 1618:3d 4s 1607:5d 6s 1604:5d 6s 1601:4d 5s 1598:4d 5s 1595:4d 5s 1592:4d 5s 1589:4d 5s 1586:4d 5s 1583:3d 4s 1580:3d 4s 1092:, such as 1064:phosphorus 864:Heat  835:Elasticity 536:Metalloids 523:lanthanide 511:transition 385:(1–7, ...) 363:(halogens) 168:for places 163:for people 127:1871 table 3536:Inference 3005:4 October 2270:− 2159:− 1572: 5f 1079:noble gas 1048:subshells 1044:electrons 810:Abundance 787:Nutrition 750:Electron 719:by symbol 665:actinides 569:noble gas 556:Nonmetals 153:etymology 81:32-column 76:18-column 3458:93589189 3410:Archived 3297:11 April 3259:(2): 334 3188:21629328 3180:12796101 3110:16591167 2924:(2009). 2689:See also 2672:, Sc is 2666:scandium 2660:, Sc is 2656:, Ca is 2005:hydrogen 1756:5f 6d 7s 1713:5f 7s 7p 1709:5f 6d 7s 1569: 4f 1566: 4f 1219:neutrons 1159:, where 1106:orbitals 1096:and the 1062:for the 923:Category 866:capacity 860:Hardness 846:affinity 752:affinity 677:Elements 649:elements 528:actinide 98:extended 42:a series 40:Part of 3511:Bibcode 3475:Bibcode 3329:Bibcode 3263:23 June 3215:Bibcode 3160:Bibcode 3078:Bibcode 2938:Bibcode 2834:Bibcode 2648:group. 2391:. When 2014:In the 1962:History 1725:uranium 1446:valence 1388:ionized 1163:is the 1141:element 1131:⁄ 1121:⁄ 1081:in the 1020:  1007:, from 830:Density 792:Valence 772:Pauling 383:Periods 3456:  3429:  3361:  3288:  3186:  3178:  3108:  3101:300183 3098:  2996:  2982:89–144 2904:  2807:  2773:  2751:WyzAnt 2728:  2492:where 2327:where 1997:charge 1656:copper 1306:aufbau 1221:in an 1149:proton 1147:, one 1052:energy 1034:of an 1009:German 977:, the 663:trans- 499:alkali 491:Metals 451:Blocks 223:(1–18) 221:Groups 149:Naming 101:  95:  91:  44:on the 3783:rules 3567:from 3499:(PDF) 3454:S2CID 3184:S2CID 3061:(PDF) 3027:(PDF) 2801:10–12 2674:4s 3d 2670:4s 3d 2662:4s 3d 2532:. 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Index

Wiswesser rule
Nuclear proliferation
a series
Periodic table

18-column
32-column
Alternative
extended
Periodic table history
D. Mendeleev
1871 table
1869 predictions
Discovery of elements
Naming
etymology
for people
for places
controversies
in East Asia
Systematic element names
Sets of elements
Groups
1
alkali metals
2 (alkaline earth metals)
3
4
5
6

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