The Separated Janet Periodic Table Charles Janet first proposed his periodic table in 1929. The Janet Periodic Table (JPT) is also known as the Left Step Periodic Table. Each step has two rows. One natural element is associated with each cell, and may be represented by the atomic number of the element. Each element is assumed to have a most significant electron (MSE), usually one of the outermost electrons. Quantum numbers (n, L, m L, m S ) are associated with the MSE of each element. The location of any element within the table is defined by the quantum numbers of the associated MSE. The Janet table may be separated into four parts. Each part is a fundamental periodic table containing 30 elements. The fundamental tables reveal standard groupings of the elements. The Quantum Numbers; Four quantum numbers (n, L, m L, m S ) are associated with the MSE of each element. The primary quantum number (n) is associated with radial motion (and potential energy) and takes values; n = 1,2,3,4,5,6,, The quantum number (L) is associated with orbital rotation (angular momentum) and takes four values; L = 0,1,2,3 = also shown as; s,p,d,f L MAX = n 1 The magnetic quantum number (m L ) is associated with magnetic moment of orbital rotation and takes values in a range; m L = -L. 0.+L The electron spin quantum number (s) is; s = ½ The magnetic quantum number (m S ) is associated with magnetic moment of spin and takes two values; m S = ±½ The quantum numbers of the MSE may be represented as an electronic quantum table ; n L s m L m S The primary quantum number has no magnetic association.
The nucleus also has spin represented as a quantum number (S N ); S N = ½ A magnetic quantum number (m N ) is associated with the magnetic moment of nuclear spin and takes two values; m N = ±½ This is the basis for nuclear magnetic resonance. The quantum numbers of the MSE and the nucleus may be combined to give an atomic quantum table ; n L s s N m L m S m N Spectroscopy; Spectroscopy associates various energies with vibration and rotation. The energies are related to quantum numbers. The energies are; Vibrational energy (E V ); E V = hf(q+½) otational energy (E ); E = A q(q+1) Where; h is the Plank constant f is frequency of vibration A is a rotational constant q is a generic quantum number The Janet (Left Step) Periodic Table; The JPT is displayed below in two parts (A,B) for convenience. Each cell represents a chemical element identified by the atomic number (Z), shown as the lower number. A cell also contains the most significant orbital (nl) shown as the upper label. Column numbers (C) have been arbitrarily assigned. A row number () is defined by quantum numbers (Madelung ule); = n + L A row parity identifier (m N ) identifies even and odd numbered rows; (even) is identified by; m N = -½ (odd) is identified by; m N = +½ Wednesday, June 0, 201 P a g e 2
ow parity is also nuclear magnetic moment. The JPT contains four steps. Each step has two rows, one odd numbered row and one even. A step number (a) is defined by row properties; 2a = + ½ + m N = (n+l) + (s N +m N ) The step number takes four values; a = 1,2,3,4 The step number is an average of electron and nuclear properties; a = ½(+N) Where; N = s N + m N and = n + L JPT (Part A); 21 39 1 103 22 40 2 104 23 41 3 105 24 42 4 106 25 43 5 10 26 44 6 10 2 45 109 2 46 110 29 4 9 111 30 4 0 112 5 13 31 49 1 113 6 14 32 50 2 114 15 33 51 3 115 16 34 52 4 116 9 1 35 53 5 11 10 1 36 54 6 11 1 3 11 19 3 55 s 119 2 4 12 20 3 56 s 120 ow 1 2 3 4 5 6 15 16 1 1 19 20 21 22 23 24 25 26 2 2 29 30 31 32 Column JPT (Part B); 5 9 5 90 59 91 60 92 61 93 62 94 63 95 64 96 65 9 66 9 6 99 6 100 69 101 0 102 ow 1 2 3 4 5 6 9 10 11 12 13 14 Column The Janet table may be separated into four parts. Each part is a fundamental periodic table (4 rows x 16 columns) containing 30 elements. The fundamental tables reveal relative groupings of the elements. Each part is defined by row parity (m N ) and electron magnetic moment (m S ). Wednesday, June 0, 201 P a g e 3
Janet Table (Part 1), electron spin up (ms = +½), nuclear spin up (mn = +½) 5 5 59 60 61 62 63 21 1 22 2 23 3 24 4 25 5 5 31 1 6 32 2 33 3 1 11 3 s 1 ½ 3 ½ 5 ½ ½ ½ ½ ½ ½ ms 1 2 3 4 5 6 15 16 1 1 19 25 26 2 31 Column # Each cell contains nl on the upper level and Z on the lower level. Janet Table (Part 2), electron spin up (m S = +½), nuclear spin down (mn = -½) 9 90 91 92 93 94 95 39 103 40 104 41 105 42 106 43 10 13 49 113 14 50 114 15 51 115 3 19 55 119 2 -½ 4 -½ 6 -½ -½ ½ ½ ½ ½ ms 1 2 3 4 5 6 15 16 1 1 19 25 26 2 31 Column # Wednesday, June 0, 201 P a g e 4
Janet Table (Part 3), electron spin down (ms = -½), nuclear spin up(mn = +½) 64 65 66 6 6 69 0 26 6 2 2 2 3 2 4 30 5 34 4 9 35 5 10 36 6 2 12 3 s 1 ½ 3 ½ 5 ½ ½ -½ -½ -½ -½ ms 9 10 11 12 13 14 20 21 22 23 24 2 29 30 32 Column # Janet Table (Part 4), electron spin down (ms = -½), nuclear spin down (mn = -½) 96 9 9 99 100 101 102 44 10 46 109 41 110 4 111 4 112 16 52 116 1 53 11 1 54 11 4 20 56 120 2 -½ 4 -½ 6 -½ -½ -½ -½ -½ -½ ms 9 10 11 12 13 14 20 21 22 23 24 2 29 30 32 Column # The Atomic Numbers; Any atomic number (Z) may be separated into five terms; Z = Z a + Z L + Z ml + Z ms + Z mn The terms are defined as; Z a = 4a(a+1)(a+½)/3 Z L = -2L(L+½) Z ml = m L Wednesday, June 0, 201 P a g e 5
Fluorine (F); Z ms = -2(m S +½)(L+½) Z mn = -2a 2 (m N +½) ow = 3 Column = 29 Atomic Quantum Table; n = 2 L = 1 s = ½ s N = ½ m L = 0 m S = -½ m N = ½ Calculation; a = ½(n + L + s N + m N ) = ½(2+1+½+½) = 2 Z a = 4a(a+1)(a+½)/3 = 4(2)(3)(5/2)/3 = 20 Z L = -2L(L+½) = -2(1)(3/2) = -3 Z ml = m L = 0 Conclusion; Z ms = -2(m S +½)(L+½) = -2(0)(3/2) = 0 Z mn = -2a 2 (m N +½) = -2(4)(1) = - Z = Z a + Z L + Z ml + Z ms + Z mn = 20-3 + 0 + 0 - = 9 The Left Step Periodic Table may be separated into a series of four fundamental tables. Each cell contains one natural element. An element is represented by atomic number. The atomic number is a function of five terms related to the quantum numbers of the MSE and the nucleus. The location of an element within the table is determined by these quantum numbers. Each step is an average of nuclear and electron properties. Wednesday, June 0, 201 P a g e 6