NIST data - "Atomic Weights and Isotopic Compositions with Relative Atomic Masses" which may be obtained by selecting the options "All Elements" and "All isotopes" - contains many patterns, some of which are more difficult to find than others.
The following examples may reflect distinct multiples of available energy bands - analogous to the series of emission spectrum known as the Balmer series discovered for hydrogen atoms - and that were eventually explained, firstly with Bohr's model of discrete electron shells of atoms.
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| The Global Tech Council and Pattern Recognition |
Analysis of some of the data made available by NIST
Isotope
Sn
Sn
Z
50
50
N
77
76
A
127
126
Relative Atomic Mass
126.910 390(11)
125.907 659(11)
Difference in relative atomic mass
1.002 731
Sn
Sn
50
50
59
58
109
108
108.911 2921(85)
107.911 8943(58)
Difference in relative atomic mass
0.999 3978
Difference between the above differences in relative atomic mass
0.003 3332
Sb
Sb
51
51
79
78
130
129
129.911 662(15)
128.909 147(23)
Difference in relative atomic mass
1.002 515
Sb
Sb
51
51
61
60
112
111
111.912 400(19)
110.913 2182(95)
Difference in relative atomic mass
0.999 1818
Difference between the above differences in relative atomic mass
0.003 3332
Repeating the above calculations for the two pairs of differences in relative atomic masses of Yttrium-98 and Yttrium-99, and of Yttrium-80 and Yttrium-81 shows the difference between those differences is 0.0066664 which is two times the figure from the calculcation above.
Repeating the above calculations for the two pairs of differences in relative atomic masses of Erbium-167 and Erbium-168, and of Holmium-165 and Holmium-165 shows the difference between those differences is 0.0016666 which is one-half the figure from the calculcation above:
Isotope
Er
Er
Z
68
68
N
99
98
A
167
166
Relative Atomic Mass
166.932 0546(22)
165.930 2995(22)
Difference in relative atomic mass
1.001 7551
Ho
Ho
67
67
98
97
165
164
164.930 3288(21)
163.930 2403(25)
Difference in relative atomic mass
1.000 0885
Difference between the above differences in relative atomic mass
0.001 6666
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