Atlas of Atomic Nuclear Structures ATLAS OF ATOMIC NUCLEAR STRUCTURES Stoyan Sarg The Atlas of Atomic Nuclear Structures (ANS) is one of the major output results of the Basic Structures of Matter – Supergravitation Unified Theory (BSM-SG), based on an alternative concept of the physical vacuum. The atlas of ANS illustrates the material structure of the elementary particles and atomic nuclei as they are revealed in BSM-SG. While they exhibit the same interaction energies as the Quantum Mechanical models, they are not point-like structures. The atlas also provides information about the spatial arrangement of the protons and neutrons in the atomic nuclei, atoms and molecules. The Z-number trend of the nuclear build-up follows a shell structure that complies strictly with the row-column pattern of the Periodic table, while obeying the Hund’s rules and Pauli exclusion principle. The nuclear structures of the stable isotopes exhibit a higher degree of symmetry. The trend of faster increase of the number of neutrons in comparison to the protons in heavier elements and their spatial positions play a role in redistribution of the repulsive Coulomb forces between protons. The proposed physical models could find applications in different fields, such as the chemistry, nanotechnology, biomolecules and deeper understanding of the nuclear stability and reactions. 1. S. Sarg © 2001, “Atlas of Atomic Nuclear Structures”, monograph Archived in the National Library of Canada (April 2002) http://www.nlc-bnc.ca/amicus/index-e.html (AMICUS No. 27106037) Canadiana: 2002007655X ISBN: 0973051515 Classification: LC Class no.: QC794.6* Dewey: 530.14/2 21 2. S. Sarg, “Atlas of Atomic Nuclear Structures According to the Basic Structures of Matter Theory, Journal of Theoretics, Extensive papers, 2003. http: www.journaloftheoretics.com Copyright © 2001, by S. Sarg A-1 Atlas of Atomic Nuclear Structures Tables of contents Page 1. Introduction....................................................................................................................A-1 2. Part I: Structure of the elementary particles...................................................................I-1 3. Part II: Atomic nuclear structure of the elements...................................................(see Table 1) 4. View of the nuclei of some elected elements................................................................II-21 Table 1: Page location of the elements Z Page Z Notes: The symbols used for notation of the protons and neutrons and their connections in the atomic nucleus are given in Page II-). Page 1-2 II-1 53 - 56 II-11 3-7 II-2 57 - 61 II-12 8 - 13 II-3 62 - 67 II-13 14 - 18 II-4 68 - 72 II-14 19 - 24 II-5 73 -78 II-15 24 - 29 II-6 79 - 84 II-16 30 - 35 II-7 85 - 89 II-17 36 - 40 II-8 90 - 95 II-18 41 - 46 II-9 96 - 101 II-19 47 - 52 II-10 102-103 II-20 Notations: Z- number of protons in the nucleus N - number of neutrons in the nucleus Note: BSM-SG Periodic Table of Atomic Nuclei is included at the end (300dpi resolution). Higher resolution Periodic Table is available upon request. References: [1]. S. Sarg, Basic Structures of Matter Supergravitation Unified Theory, monograph, ISBN 9781412083874, Amazon.com, also in http://collection.nlc-bnc.ca/amicus/index-e.html (AMICUS No. 27105955) LC Class no.: QC794.6*; Dewey: 530.14/2 21, (first edition, 2002); second edition, 2005) [2]. S. Sarg, New approach for building of unified theory about the Universe and some results, http://lanl.arxiv.org/abs/physics/0205052 (2002) [3]. S. Sarg, Brief introduction to BSM theory and derived atomic models, Journal of Theoretics, (2003). http://www.journaloftheoretics.com/Links/Papers/Sarg.pdf [4]. S. Sarg, A Physical Model of the Electron According to the Basic Structures of Matter Hypothesis, Physics Essays (An international journal dedicated to fundamental questions in Physics), v. 16, No. 2, 180-195, (2003), viXra:1104.0051 [5] Basic Structures of Matter - Supergravitation Unified Theory Based on an Alternative Concept of the Physical Vacuum, viXra:1104.0046 Copyright © 2001, by S. Sarg A-2 Atlas of Atomic Nuclear Structures Introduction The Atlas of Atomic Nuclear Structures (ANS) is one of the major output results of the Basic Structures of Matter - Supergravitation Unified Theory (BSM-SG), based on an alternative concept of the physical vacuum. While the physical structures of the elementary particles obtained by analysis according to the BSM-SG theory exhibit the same interaction energies as the Quantum Mechanical models, they allow unveiling the spatial configurations of the atomic nuclei, atoms and molecules. The unveiled structural features of the atomic nuclei provide explanation about the particular angular positions of the chemical bonds. Such features are in good agreement with the VSEPR model used in the chemistry. Other intrinsic features defined by the structural composition of the nuclei provide strong evidence that the proposed models are real physical atomic structures. The arguments for this claim are presented in the BSMSG theory and more particularly in Chapter 8. The proposed physical models allows understanding the stability of the isotopes and the radioactivity. The nuclear models could be useful in different fields, such as chemistry, nanotechnology, biomolecules and deeper understanding of the nuclear reactions. The atlas of ANS contains two parts. Part I illustrates the geometry and the internal structure of the basic atomic particles, built of helical structures. (The helical structures are building blocks of all elementary particles. Their type and classification are shown in §2.7, Chapter 2 of BSM). Part II illustrates the three dimensional atomic nuclear structures of the elements in a range of 1 < Z < 103, where Z is the number of protons in the nucleus. Only the stable isotopes given in the Periodic table are shown. In order to simplify the complex views of the nuclei they are shown as plane projections of symbols. For this purpose two types of symbols are used: symbols for hadron (nucleon) particles (proton, neutron and He nucleus) and symbols for the type of the nuclear bonding of the nucleons. The symbolic views contain the necessary information for presenting the real three-dimensional structures of the atomic nuclei by different sectional views. This is demonstrated in page 21 of the atlas, where nuclear sectional views of some selected elements are shown. The rules according to which the protons and neutrons are arranged in shells in the nuclei are discussed in Chapter 8 of BSM-SG. The trend of consecutive nuclear building by Z-number follows a shell structure that complies strictly with the row-column pattern of the Periodic table. The periodic law of Mendeleev appears to reflect not only the Z-number, but also the shell structure of the atomic nuclei. The latter becomes apparent in the BSM-SG analysis. The protons (also deuterons) shells get stable completion at column 18 (noble gases). The separate rows of the Lanthanides and the Actinides are characterised by a consecutive grow and completion of different shells. The nuclear structures of all stable elements (isotopes) possess a clearly identifiable polar axis of rotational symmetry. One or more He nuclear structures are always positioned along this axis. The most abundant sub-nuclear compositions are deuterons, tritium and protons. The strong SG forces hold them together, while the proximity E-fields play a role for their orientations. The identified different types of bonds are shown in the atlas by symbolic notations. For more details, see Chapter 8 of BSM-SG. In the same Chapter, the conditions for instability of the short-lived isotopes are also discussed. They are partly apparent from the Atlas drawings - especially for the alpha decay. The stability limit for elements with a high Z-number is apparent from the nuclear shelf completion overal shape. The strong SG forces falls fast with the distance. The electronic orbits are not shown in the nuclear drawings, but their positions are defined by the spatial positions of the nucleons. The Hund's rules and the Pauli exclusion principle are both identifiable features related to the available positions and mutual orientations of the quantum orbits. The quantum velocity of the orbiting and oscillating electron, defines the length trace of any quantum orbit (see §3.12, Chapter 3; §7.7, Chapter 7 of BSM-SG) Copyright © 2001, by S. Sarg A-3 BSM Atlas of Atomic Nuclear Structures Part I A 109.5 o 109.5 109.5 d abcd prism Core node from prisms of same type (building element of the helical structure) Note: The twisted prisms model is used Fig. 2.8.B 60 o prism right handed 109.5 o A A-A left handed Page I-1 60 o Fig. 2.6 re e+ se rp Rc RL(T)+ structure RL(T)- structure Electron structure geometrical parameters Oscillating electron protoneutron 2(Rc+rp) Lpc π rp 2Rc Lpc proton neutron Lpc/2π Wp Lp Shape and envelope structure of proton and neutron Copyright 2001, by S. Sarg November 12, 2001 Page I-1 BSM Page I-2 Atlas of Atomic Nuclear Structures Part I (+ ) e x tern a l shell a. π+ π− rp K0L b. Fig. 2.15.B. Axial sectional view of proton (neutron) showing the external positive shell (envelope) and the internal elementary particles - pions and kaon. All of them are formed by helical structures possessing internal RL structures (not shown). Fig. 2.16 Axial (a) and radial (b) section geometry of the internal RL structure of FOHS (not twisted). The real number of radial layers is large since the prism’s length is much smaller than the boundary radius r. (+) external shell re π− CL space RL(T)+ rp re 2Rc K0L rp π+ RL+ RL- E-field lines Fig. 2.15.A. Radial sectional view of a proton (neutron) core with internal elementary particles and their internal RL structures. The RL structures are not twisted for the kaon, partly twisted for the pions and fully twisted for the external shell. Copyright 2001, by S. Sarg Central (-) core Fig. 2.29.E. Radial section of positive FOHS with twisted internal RL(T)+ structure generating E-field in CL space. The radial section of the FOHS envelope core and the central core is formed of 7 prisms. rp - is a radius of the FOHS envelope. November 12, 2001 Page I-2 BSM Page I-3 Atlas of Atomic Nuclear Structures Part I Deuteron with Balmer series orbital p - proton; n - neutron; e- - electron He nucleus Lqo(n) Lq(n) Simple quantum orbit (n - is the subharmonic number) Idealized shape of stable (quantum) orbit defined by the quantum magnetic line conditions. The peripheral and axial magnetic lines are generated by the screw-like confined motion of the electron in CL space (see §7.7 in Chapter 7 of BSM) The equation of the quantum orbit trace length, Lq o is derived in §3.12.3 (Chapter 3 of BSM). λ 2πa L q o ( n ) = -----------o- = ------cαn n (3.43.i) where: n is the subharmonic number of the quantum orbit; λ c - is the Compton wavelength; α - is the fine structure constant; 2πao - is the length of the boundary orbit ( a o is the Bohr model radius) The shape of the orbit is defined by the proximity Efield of the proton. The most abundant quantum orbit has a shape of Hippoped curve with a parameter a = 3 . Orbits of such shapes serve also as electronic bonds connecting the atoms in molecules (see Chapter 9 of BSM). The trace length Lq o and the long axis length Lq of the possible simple quantum orbits (formed by single quantum loops) are given in Table 1. The estimated distance between the CL nodes in – 20 abcd axis is: d a bcd ≈ 0.549 ×10 (m). Copyright 2001, by S. Sarg Table 1: L q o [A] n L q [A] e- energy [eV] 1 3.3249 1.3626 13.6 2 1.6625 0.6813 3.4 3 1.1083 0.4542 1.51 4 0.8312 0.3406 0.85 5 0.665 0.2725 0.544 6 0.5541 0.2271 0.3779 The calculated geometrical parameters of the stable atomic particles: proton, neutron, electron and positron are given in Table 2. The last reference column points to the BSM chapters, related to the calculations and cross validations of these parameters. November 12, 2001 Page I-3 BSM Atlas of Atomic Nuclear Structures Part I Page I-4 Table 2: Parameter Value Description Calculations and cross validations in: L PC 1.6277 (A) proton (neutron) core length Chapters 5 and 6 LP 0.667 (A) proton length Chapters 6, 7, 8, 9 WP 0.19253 (A) proton (neutron) width Chapters 6, 7 ,8 ,9 re 8.8428E-15 (m) small radius of electron Chapters 3, 4, 6 se 1.7706E-14 (m) electron( positron) step Chapter 3 rp 5.8952E-15 (m) small radius of positron Chapters 3, 4, 6 2 ( Rc + r p ) 7.8411E-13 (m) thickness of proton (neutron) Chapters 6, 7, 8, 9 Notes: – 13 (1) R c = 3.86159 ×10 (m) (2) 1A = 10 ×10 Copyright – 10 (m) - is the Compton radius of the electron. - is the Amstrong unit for length 2001, by S. Sarg November 12, 2001 Page I-4 BSM-SG Shape symbols of nuclear atomic structures Simple quantum orbits (QOs) Polar section of Ar nucleus n p D T He (2) (3) (4) (5) (6) (1) (2) (3) (4) (5) (6) (1) first harmonic QO (13.6 eV) second subharmonic QO (3.4 eV) third subharmonic QO (1.51 eV) fourth subharmonic QO (0.85 eV) fifth subharmonic QO (0.544 eV) sixth subharmonic QO (0.377 eV) Sketch symbols of nuclear atomic structures D T H2 ortho molecule Connection symbols He Polar section of Ar nucleus embedded in a heavier nucleus EB GBclp PC GBpc bottom view bottom view (1) front view p front view n (1) Example A Example B scale for structures and quantum orbits Example A: Two pairs of Ds connected by EB bonds Example B: Two pairs of Ds conncted by GBclp bonds 1A H2 para molecule (two electrons share a common orbit) Notations: n - neutron p - proton D - deuteron T - Tritii He - Helium Ar - Argon Copyright EB - electronic bond (weak) GB - (intrinsic) gravitational bond (strong) GBclp - (proton) club proximity GB GBpc - polar clamped GB PC - polar connection or clamp for Ar polar GB 2001, by S. Sarg (1) Note: QOs for para and ortho states of H2 are normal to the proton's quasiplanes Atlas of Atomic Nuclear Structures Part II Page II-0 BSM-SG Copyright 2001, by S. Sarg Atlas of Atomic Nuclear Structures Part II Page II-1 BSM-SG 6 7 Li Z=3 Copyright N=3 Z=3 2001, by S. Sarg Li 9 N=4 Z=4 11 Be N=6 Z=5 B 12 N=6 Z=6 Atlas of Atomic Nuclear Structures Part II 14 C N=6 Z=7 N N=7 Page II-2 BSM-SG 16 Z=8 O Copyright 19 N=8 Z=9 2001, by S. Sarg F 20 N=10 Ne Z=10 23 N=10 Na Z=11 24 N=12 Mg Z=12 Atlas of Atomic Nuclear Structures Part II N=12 27 Z=13 Al N=14 Page II-3 BSM-SG 28 Si Z=14 31 N=16 Z=15 P 32 N=16 Z=16 S 35 N=16 Z=17 Cl 40 N=18 Z=18 Ar 40 N=22 Ar Z=18 N=22 (Ar) Copyright 2001, by S. Sarg Atlas of Atomic Nuclear Structures Part II Page II-4 BSM-SG 39 K Z=19 40 N=20 (Ar) Copyright 2001, by S. Sarg Ca Z=20 (Ar) Sc 45 N=20 Z=21 Ti 48 N=24 (Ar) Z=22 V 51 N=26 (Ar) Atlas of Atomic Nuclear Structures Part II Z=23 N=28 (Ar) Page II-5 BSM-SG 52 Cr 55 Z=24 N=28 Z=25 (Ar) Copyright Mn 2001, by S. Sarg (Ar) 56 N=30 Fe Z=26 (Ar) 59 N=30 Co Z=27 (Ar) Ni 59 N=32 Z=28 (Ar) Atlas of Atomic Nuclear Structures Part II 63 N=31 Cu Z=29 N=34 (Ar) Page II-6 BSM-SG 65.4 Zn Z=30 Ga 69.7 N=36 Z=31 (Ar) Copyright 2001, by S. Sarg (Ar) 72.6 N=39 Ge Z=32 (Ar) 74.9 N=41 As Z=33 (Ar) 79 N=42 Se Z=34 (Ar) Atlas of Atomic Nuclear Structures Part II 79.9 N=45 Br Z=35 N=45 (Ar) Page II-7 BSM-SG Kr 84 Z=36 N=48 84 Kr Z=36 N=48 (Ar) (Ar) Copyright 2001, by S. Sarg (Ar) 85 Rb Z=37 N=48 88 Sr Z=38 N=50 89 Y Z=39 91 Zr Z=40 (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) Atlas of Atomic Nuclear Structures Part II Page II-8 BSM-SG 92.9 Z=41 Copyright Nb N=52 95.9 Z=42 Mo N=54 98.9 Z=43 Tc N=55 101.1 Z=44 Ru N=57 102.9 Rh Z=45 N=58 106.4 Z=46 Pd N=60 (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) 2001, by S. Sarg Atlas of Atomic Nuclear Structures Part II Page II-9 BSM-SG 107.9 Ag Z=47 112.4 N=61 Z=48 Cd N=64 114.8 Z=49 In 118.7 N=66 Z=50 Sn N=69 121.7 Sb Z=51 N=71 127.6 Z=52 Te N=76 (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) Copyright 2001, by S. Sarg Atlas of Atomic Nuclear Structures Part II Page II-10 BSM-SG 126.9 I 131.3 Z=53 N=74 Z=54 (Ar) (Ar) Copyright 2001, by S. Sarg Xe 131.3 N=77 Xe 132.9 Cs 137.3 Ba Z=54 N=77 Z=55 N=78 Z=56 N=81 (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) Atlas of Atomic Nuclear Structures Part II Page II-11 BSM-SG 138.9 La Z=57 Copyright 140.1 N=82 Ce Z=58 140.9 N=82 Pr Z=59 144.2 N=82 Nd Z=60 N=84 (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) (Ar) 2001, by S. Sarg 145 Atlas of Atomic Nuclear Structures Part II Z=61 Pm Page II-12 BSM-SG 150.4 Z=62 Sm Copyright 152 Z=63 2001, by S. Sarg Eu 157.2 Z=64 Gd 158.9 Z=65 Tb 162.5 Z=66 Dy Atlas of Atomic Nuclear Structures Part II 164.9 Z=67 Ho Page II-13 BSM-SG Er 167.3 Z=68 Copyright Tm 168.9 Z=69 2001, by S. Sarg 173 Z=70 Yb 175 Z=71 Lu 178.5 Z=72 Atlas of Atomic Nuclear Structures Part II Hf 178.5 Z=72 Hf Page II-14 BSM-SG 180.9 Z=73 Copyright Ta 183.5 Z=74 2001, by S. Sarg W 186.2 Z=75 Re 190.2 Z=76 Os 192.2 Z=77 Atlas of Atomic Nuclear Structures Part II Ir 195.1 Z=78 Pt Page II-15 BSM-SG 197 Z=79 Au Copyright 200.6 Z=80 2001, by S. Sarg Hg 204.4 Z=81 Tl 207.2 Z=82 Pb 209 Z=83 Atlas of Atomic Nuclear Structures Part II Bi 209 Z=84 Po Page II-16 BSM-SG (210) Z=85 At Copyright (222) Z=86 2001, by S. Sarg Rn (222) Z=86 Rn (223) Z=87 Fr 226 Z=88 Atlas of Atomic Nuclear Structures Part II Ra (227) Z=89 Ac Page II-17 BSM-SG 232 Z=90 Th Copyright 231 Z=91 2001, by S. Sarg Pa 238 Z=92 U 237 Z=93 Np 244 Z=94 Atlas of Atomic Nuclear Structures Part II Pu 243 Z=95 Am Page II-18 BSM-SG (247) Z=96 Cm Copyright (247) Z=97 2001, by S. Sarg Bk (251) Z=98 Cf (252) Z=99 Es (257) Z=100 Atlas of Atomic Nuclear Structures Part II Fm (258) Z=101 Md Page II-19 BSM-SG (259) Z=102 Copyright 2001, by S. Sarg No (262) Z=103 Lr (262) Z=103 Lr Atlas of Atomic Nuclear Structures Part II Page II-20 BSM-SG Z=2 O Ne Z=8 Z=10 Pojection views of selected elements Ar Z=18 Ca Z=20 Kr Z=36 Ag Z=54 4 section (a) Z=47 Xe 8 sections 8 sections 8 sections He Atlas of Atomic Nuclear Structures 8 sections (b) 8 sections BSM Ce Z=58 Gd Z=64 W Z=74 Au Z=79 Hg Z=80 Rn Z=86 (a) Note: (a) and (b) are polar sections of the nucleus with two selected planes. The angle between them is 22.5 deg Copyright 2001, by S. Sarg Atlas of Atomic Nuclear Structures Part II Page II-21 1 2 3 1.008 + Z=1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4.003 +H Periodic Table of atomic nuclear structures (according to BSM-SG) N=0 18 Z=2 N=2 1 Shape symbols of nuclear atomic structures n /L 6.94 Z=3 N=4 9.01 p D T Simple quantum orbits (QOs) Polar section of Ar nucleus He (2) (3) %H Z=4 (4) (5) (6) (1) first harmonic QO (13.6 eV) (2) second subharmonic QO (3.4 eV) (3) third subharmonic QO (1.51 eV) (4) fourth subharmonic QO (0.85 eV) (5) fifth subharmonic QO (0.544 eV) (6) sixth subharmonic QO (0.377 eV) (1) N=6 10.8 % Z=5 N=6 & 12 Z=6 N=6 14 Z=7 1 N=7 2 16 Z=8 N=8 19 Z=9 ) 20.18 N=10 Z=10 1H N=10 Sketch symbols of nuclear atomic structures n p T D He EB GBclp PC GBpc (1) bottom view front view embedded in heavier nuclei front view Polar section of Ar nucleus 2 H2 ortho molecule Connection symbols bottom view 1D 23 Z=12 N=12 0J 24.3 Z=12 N=12 27 1A 4 40 &D Z=20 N=20 $U 47.88 50.9 Z=22 N=26 Z=23 N=28 $U $U $U 9 52 &U Z=24 N=28 54.9 0Q Z=25 N=30 5E Z=37 N=48 5 $U $U $U &V )U (226) 5D 91.22 =U Z=40 N=51 1E 92.91 Z=41 N=52 $U $U $U $U $U $U /D +I 178.5 Z=72 74.9 78.96 Z=33 N=42 Z=34 N=45 35 &O Z=17 N=18 55.8 )H Z=26 N=30 58.9 &R Z=27 N=32 58.7 1L Z=28 N=31 63.5 &X Z=29 N=34 65.4 =Q Z=30 N=36 69.7 *D Z=31 N=39 72.6 *H Z=32 N=41 $V (2) (2) $U $U 6H 79.9 %U Z=35 N=45 7D 180.9 Z=73 0R 95.94 Z=42 N=54 7F Z=43 N=55 : 183.9 5X 101.1 Z=44 N=57 $U $U 5H 186.2 Z=75 102.9 5K Z=45 N=58 $U $U $U Z=74 $U $U 98.9 $U $U 2V 190.2 Z=76 106.4 3G Z=46 N=60 $U $U $U $U ,U 192.2 Z=77 $U 3W 195.1 Z=78 $U 107.9 $J Z=47 N=61 197 Z=79 $U 112.4 &G Z=48 N=64 $U 114.8 ,Q Z=49 N=66 118.7 6Q Z=50 N=69 121.7 6E Z=51 N=71 $U $U $U $U $U $U $U $U $U $U $X +J 200.6 Z=80 7O 204.4 Z=81 3E 207.2 Z=82 209 Z=83 %L $U 127.6 7H Z=52 N=76 126.9 , Z=53 N=74 $U 3R (209) Z=84 $W (210) Z=85 Hg W Gd 7 140.1 8 &H 140.9 Z=59 $U 9 7K 231 3D 144.9 Z=61 3P 150.4 Z=62 6P 152 Z=63 (X 157.2 Z=64 *G 158.9 Z=65 7E 162.5 Z=66 '\ 164.9 Z=67 +R 167.3 Z=68 (U 168.9 Z=69 7P 173 Z=70 <E 175 Z=71 /X $U $U Z=91 1G $U $U $U 232 144.2 Z=60 $U $U Z=90 3U $U 238 Z=92 8 237 Z=93 1S (242) Z=94 3X (243) Z=95 $P (247) Z=96 &P %N (247) Z=97 (251) Z=98 &I (252) Z=99 (V )P (257) Z=100 0G (258) Z=101 1R (259) Z=102 (Ar) 131.3 ;H Z=54 N=77 $U $U $U $F Z=58 .U $U $U $U (227) 83.8 Z=36 N=48 $U $U Z=89 $U 40 Z=18 N=22 (1) $U $U Z=88 < 138.9 Z=71 $U $U (223) 88.9 Z=39 N=50 $U $U Z=87 %D 137.3 Z=56 $U 6 6U Z=38 N=50 $U 132.9 Z=55 87.6 6 32 Z=16 N=16 $U $U 85.5 3 31 Z=15 N=16 Note: QOs for para and ortho states of H2 are normal to the proton's quasiplanes Z=21 N=24 7L 6L H2 para molecule (two electrons share a common orbit) EB - electronic bond (weak) GB - (intrinsic) gravitational bond (strong) GBclp - (proton) club proximity GB GBpc - polar clamped GB PC - polar connection or clamp for Ar polar GB 44.96 6F 28 Z=14 N=16 Example A: Two pairs of Ds connected by EB bonds Example B: Two pairs of Ds conncted by GBclp bonds n - neutron p - proton D - deuteron T - Tritii He - Helium Ar - Argon . $O Z=13 N=14 Notations: 39.1 Example B scale for structures and quantum orbits 3 Z=19 N=20 (1) Example A /U (260) Z=103 5Q (222) Z=86
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