BAYEH's theoretical periodic table of elements
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1 CLAUDE ZIAD BAYEH Idepedet Researcher LEBANON Emal: Abstract: The s a orgal study troduced by the author Chemstry 00. I the past, may scetsts ad researchers have developed umber of perodc tables of elemets order to arrage the atomc elemets the rght Colums ad groups. The ma target was to facltate the uderstadg ad vsualze the atomc elemets wth some formato, but tll ow o oe has developed a deal theoretcal perodc table that ca arrage ad cota all atomc elemets eve f they do t exst the ature a sequece of blocks, sequece of atomc umbers ad sequece of quatum theory. I ths paper the author develop a theoretcal perodc table usg orgal theoretcal methods ad formulae order to create the deal theoretcal perodc table of elemets. Keywords: Perodc table, 3D perodc table, quatum umber, orbtal. 1. Itroducto I the past, may scetsts ad researchers have developed umber of perodc tables of elemets order to arrage the atomc elemets the rght Colums ad groups [1-]. The moder perodc table s based o quatum umbers ad blocks, may problems faced the scetsts ad researchers whe arragg the elemets the tradtoal ad moder perodc tables as placg some elemets the correct place as (He) Helum, (La) Lathade ad may others elemets. I addtoal to that, the relato ad sequeces do ot exst eve the moder perodc tables that are based o the quatum theory. For these reasos ad may others reasos, the author develop a ew perodc table based o quatum theory, to emphass the relato betwee blocks ad atomc umbers very orgazed sequeces, ad arraged a spral sequece from the frst atom (H) hydroge to a ulmted atoms umbers. I ths paper, the ew cocept of the Bayeh s theoretcal table of elemet s troduced ad few examples are show ad dscussed brefly. Fgures are draw wth AutoCAD. The Cocept of the BAYEH's Theoretcal perodc table of Elemets s preseted secto. I the thrd secto, some Advatages of the ew perodc table are preseted ad dscussed brefly. Dsadvatage of other exstg perodc table s preseted ad dscussed brefly secto. I the ffth secto, a 3D Bayeh s theoretcal perodc table s preseted. I the sectos, a Sample of Exstg 3D perodc table s preseted. Samples of exstg perodc tables are preseted the secto. Fally, a cocluso about the BAYEH's Theoretcal perodc table of Elemets s preseted the secto 8.. Sample of Exstg 3D perodc table These perodc tables are made by Roy Alexader. These are based o the old ad stadard perodc table, ad the dsadvatages of both tables are dscussed the secto of ths artcle [8]. Page 1 of 10
2 Fgure 1: 3D perodc table by Roy Alexader [8]. Fgure 1.1: 3D perodc table by Roy Alexader [8]. 3. Sample of exstg perodc tables Utl ow, may scetsts ad researchers have developed a huge umber of perodc tables wth dfferet szes ad shapes, ths secto some mportat perodc tables are show order to gve a dea about the exstg oes. Fgure 1.: Example of tradtoal Perodc table [8]. Page of 10
3 Fgure 1.3: Example of Exteded Perodc table [8]. Fgure 1.: Example of Moder Perodc table [8]. Page 3 of 10
4 . Cocept of the BAYEH's Theoretcal perodc table of Elemets I order to proceed wth the ew theoretcal perodc table, t s ecessary to defe some mportat theores ad terms that are used to form ths theoretcal perodc table..1 Bayeh s theory behd the perodc table The ma target (purpose) of the ew theory troduced, s to get all formato about the atom by kowg oly ts atomc umber. By usg ew formulae developed, oe ca kow the perod, group, orbtal behavor, fllg orbtal, the umber of electro o the outer shell, the sequece of the electro cofgurato ad the groud state electro cofgurato. O the other had, oe ca guess mmedately the posto of the atom the perodc table. I ths secto, oly the basc of the theory s troduced, the complete theory wll be developed a separate paper. The geeral formula of the groud state electro cofgurato troduced by the author s as the followg S ja ; P;() /(3) j ; P;() /(1) For example, for 11 the complete cofgurato wll be as the followg S ja 11S A 8A5 9A 10A3 11A 11S H 8G 9F 10D 11P j The relato betwee the atomc umber (Z) ad the perod of the elemet N Z p The umber of the electro the outer shell (perpheral electros) Z-( N 1 (1) () p) (3) The 3 formulae (1), (), ad (3) developed are the bass of the perodc table that gves the ecessary formato about the atom order to place t the correct box the table. All these formulae are troduced by the author ad they are orgal formulae that do t exst before. Let s take a example: Cosder the followg atom wth Z35 (Thp) amed Tr-Hex-Petum Page of 10
5 Page 5 of 10 Z N p 35 N p N p > < ad p1 the the perod s eve ) 1 ( 1) ( N 1 the perod of the elemet (Z35) The umber of the electro the outer shell Z-( p )35-( ) 5 3 ( 35-( ) 5 3 ( 3 electro the outer shell The groud state electro cofgurato: ;() /(1) ; ;() /(3) ; P P j ja S j ja S A S ja S j AA 1 oooo eeeeeeeeeeeeeeee tthee oooooooooooooo AA OOOOOOOOOOOOOO AA Brefly the atom wth Z35 s postoed the perod 1 ad the group AA 1. Readg the Perodc table -The horzotal boxes descrbe the perod of the elemets (Perod 1,, 3 ) (refer to fgure. ) -The vertcal boxes descrbe the group of the elemets accordg to the quatum theory. -The colored boxes are elemets grouped by famly type for example: Nobles gases colored blue cotas the followg elemets (He, Ne, Ar, Kr ) (refer to fgure.3 for the leged) -The sequece of the atomc umber beg order from the lowest to the hghest atomc umber.e.: H(1), He(), L(3) the form of the sequece ca be descrbed as a spral form (refer to fgure 3. ). -All elemets are grouped by blocks respectvely from the left to the rght ad from the lowest to the hghest orbtal (S, P, D, F, G, H ) (refer to fgure 3.1 ) -The groups are reamed accordg to the ew method troduced by the author as above. AA jj wth represets the orbtal umber.e.: AA 1 SS; AA PP; AA 3 DD; AA FF ad jj represets the theoretcal group of the elemet accordg to the fllg orbtal. -The Helum elemet (He) s placed the AA 1 (or S) group accordg to ts orbtal propertes that s smlar to all elemets the same colum or group.
6 Fgure.1 : Extract part from the Bayeh s perodc table. Fgure. : More close from the Bayeh s perodc table presetg frst elemets Page of 10
7 Fgure.3 : Leged of the perodc table 5. Advatages of the ew perodc table -Ths perodc table s based o theoretcal methods of quatum theory whch t gves the deal posto of a elemet the table. All errors the ature are ot cosdered ths perodc table. -It s based o quatum umbers ad blocks -The perodc table s costructed by lstg the elemets by ad l quatum umber. (Refer to fgure 3 ) -The blocks beg from the left to the rght order (S-block, P-block, D-block, F-block ) (Refer to fgure 3.1 ) -The relato betwee blocks ad atomc umbers exst wth a uterrupted sequece. (Refer to fgure 3. ) -All atomc umbers ca be easly placed the correct place by kowg ther perod ad ther orbtal. -The perodc table s costructed by lstg the elemets by ad l quatum umber. Page of 10
8 Fgure 3: perodc table s costructed by lstg the elemets by ad l quatum umber Fgure 3.1: Theoretcal perodc table arraged by sequece Blocks wth respectve Groups umber. Fgure 3.: Theoretcal perodc table arraged by sequece atomc umber.. Dsadvatage of other exstg perodc table -The old perodc tables are ot based o theoretcal methods of quatum theory. -The problem wth the mappg s that the geerated sequece s ot cotuous wth respect to atomc umber, for example: Check out the sequece Ar to K, 18 to 19. (Refer to fgure.1 ) -The compresso used troduces the well kow problem kow as a "fece post error". The effect s that: La ad Ac: move from f-block to d-block, Lu ad Lr: move from p-block to f-block (Refer to fgure. ) -Most of perodc tables are ot based o theoretcal methods of quatum theory, therefore may elemet are ot placed the correct place the table accordg to the quatum theory. Page 8 of 10
9 -There s o a defte sequece that relate all blocks ad atomc umbers a rght way wthout terrupto. -The relato betwee blocks ad atomc umbers exst wth terrupted sequece. Fgure.1: moder perodc table arraged by sequece Blocks [8]. Fgure.: Medeleïev verso for perodc table wth commo error [8].. Bayeh s theoretcal perodc table three dmesoal (3D) verso The studed Perodc table ca be arraged a 3D shape, the shape s smlar to a scale that begs from the top ad cotas the S-Block, the secod step s the P-Block, ad the thrd step s the D- Block ad so o (Refer to fgure 5 ) Page 9 of 10
10 F-Block D-Block P-Block S-Block I-Block G-Block H-Block Fgure 5: Bayeh s theoretcal perodc table 3D verso. 8. Cocluso I ths paper, the ew perodc table s preseted ad dscussed. New ad orgal methods ad formulae are used order to arrage the atomc elemets a extremely orgazed maer ad sequece blocks. There are may advatages of the ew perodc table that are dscussed ths paper. The ew theoretcal perodc table s desged ad shaped 3D model. The comparso betwee the old ad ew table gve a credt to the ew oe. Refereces: [1] Adrews, D.H. et Kokes, R.J., Notos fodametales de chme, DUNOD Pars, pp (198). [] Adra Dgle, Smo Basher, The Perodc Table: Elemets wth Style, Kgfsher, ISBN , pp.1-18 (00) [3] Erc R. Scerr, The Perodc Table: Its Story ad Its Sgfcace, Oxford Uversty Press, USA; 1st edto, ISBN-10: , ISBN-13: (September 15, 00) [] Hery, Eyrg, Quatum Chemstry, the late Joh Walter ad George E.Kmball Joh Wley ad Sos; ISBN: , pp. 1-50, (00) [5] Kumg Xu, The ufcato of Pythagorea Theorem for electroc orbtals wth Kepler s law for plaetary orbts, Scetfc Research Mothly, pp.1-1. (00) [] Prmo Lev, The Perodc Table, Schocke; Traslated By Raymod Rosethal, ISBN-10: , ISBN-13: , pp. 1-0 edto (Aprl, 1995) [] Meta-sythess webste [8] Meta-sythess webste Page 10 of 10
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