Periodic table

Data originate from E. Madelung, diagrams were inspired by table of P.Timonthy Stowe.

Elements of the table are sorted according to 3 parameters:

1/ n+k

2/ s ('spin' number)

3/ m ('magnetic' number)

I. n+l = 1
(s+) 1H 2He (s-)
           s       m
  1 H      +       0
  2 He     -       0
II. n+l = 2
(s+) 3Li 4Be (s-)
           s       m
  3 Li     +       0
  4 Be     -       0
III. n+l = 3
(m-)
5B 10Ne
(s+) 11Na 6C 9F 12Mg (s-)
7N 8O
(m+)
           s       m
  5 B      +      -1
  6 C      +       0
  7 N      +      +1
  8 O      -      +1
  9 F      -       0
 11 Na     +       0
 12 Mg     -       0
IV. n+l = 4
(m-)
13Al 18Ar
(s+) 19K 14Si 17Cl 20Ca (s-)
15P 16S
(m+)
           s       m
 13 Al     +      -1
 14 Si     +       0
 15 P      +      +1
 16 S      -      +1
 17 Cl     -       0
 18 A      -      -1
 19 K      +       0
 20 Ca     -       0
V. n+l = 5
(m-)
21Sc 30Zn
31Ga 22Ti 29Cu 36Kr
(s+) 37Rb 32Ge 23V 28Ni 35Br 38Sr (s-)
33As 24Cr 27Co 34Se
25Mn 26Fe
(m+)
           s       m
 21 Sc     +      -2
 22 Ti     +      -1
 23 V      +       0
 24 Cr     +      +1
 25 Mn     +      +2
 26 Fe     -      +2
 27 Co     -      +1
 28 Ni     -       0
 29 Cu     -      -1 
           s       m
 30 Zn     -      -2
 31 Ga     +      -1
 32 Ge     +       0
 33 As     +      +1
 34 Se     -      +1
 35 Br     -       0
 36 Kr     -      -1
 37 Rb     +       0
 38 Sr     -       0
VI. n+l = 6
(m-)
39Y 48Cd
49In 40Zr 47Ag 54X
(s+) 55Cs 50Sn 41Nb 46Pd 53J 56Ba (s-)
51Sb 42Mo 45Rh 52Te
43Tc 44Rn
(m+)
           s       m
 39 Y      +      -2
 40 Zr     +      -1
 41 Nb     +       0
 42 Mo     +      +1
 43 Tc     +      +2
 44 Ru     -      +2
 45 Rh     -      +1
 46 Pd     -       0
 47 Ag     -      -1
           s       m
 48 Cd     -      -2
 49 In     +      -1
 50 Sn     +       0
 51 Sb     +      +1
 52 Te     -      +1
 53 I      -       0
 54 X      -      -1
 55 Cs     +       0
 56 Ba     -       0
VII. n+l = 7
(m-)
57La 70Yb
71Cb 58Ce 69Tm 80Hg
81Tl 72Hf 59Pr 68Er 79Au 86Em
(s+) 87Fr 82Pb 73Ta 60Nd 67Ho 78Pt 85At 88Ra (s-)
83Bi 74W 61Il 66Dy 77Ir 84Po
75Re 62Sm 65Tb 76Os
63Eu 64Gd
(m+)
           s       m
 57 La     +      -3
 58 Ce     +      -2
 59 Pr     +      -1
 60 Nd     +       0
 61 Il     +      +1
 62 Sm     +      +2
 63 Eu     +      +3
 64 Gd     -      +3
 65 Tb     -      +2
 66 Dy     -      +1
 67 Ho     -       0
 68 Er     -      -1
 69 Tm     -      -2
 70 Yb     -      -3
 71 Cp     +      -2
 72 Hf     +      -1 
           s       m
 73 Ta     +       0
 74 W      +      +1
 75 Re     +      +2
 76 Os     -      +2
 77 Ir     -      +1
 78 Pt     -       0
 79 Au     -      -1
 80 Hg     -      -2
 81 Tl     +      -1
 82 Pb     +       0
 83 Bi     +      +1
 84 Po     -      +1
 85 At     -       0
 86 Em     -      -1
 87 Fr     +       0
 88 Ra     -       0
VIII. n+l = 8
(m-)
89Ac 102No
103? 90Th 101Md 112?
113? 104? 91Pa 100Fm 111? 118?
(s+) 119? 114? 105? 92U 99Es 110? 117? 120? (s-)
115? 106? 93Np 98Cf 109? 116?
107? 94Pu 97Bk 108?
95Am 96Cm
(m+)
           s       m
 89 Ac     +      -3
 90 Th     +      -2
 91 Pa     +      -1
 92 U      +       0
 93 Np     +      +1
 94 Pu     +      +2
 95 Am     +      +3
 96 Cm     -      +3
 97 Bk     -      +2
 98 Cf     -      +1
 99 Es     -       0
100 Fm     -      -1
101 Md     -      -2
102 No     -      -3
103 ?      +      -2
104 ?      +      -1
           s       m
105 ?      +       0
106 ?      +      +1
107 ?      +      +2
108 ?      -      +2
109 ?      -      +1
110 ?      -       0
111 ?      -      -1
112 ?      -      -2
113 ?      +      -1
114 ?      +       0
115 ?      +      +1
116 ?      -      +1
117 ?      -       0
118 ?      -      -1
119 ?      +       0
120 ?      -       0