The Jiang Periodic Table of Elements

Abstract

Using the stable number theory we calculate the best electron configurations of the elements and not from experimental data[6-8,10].We make the Jiang periodic table of the elements[10]. In studying the stability of the many-body problem we suggest two principles [1-10]. (1) The prime number principle. A prime number is irreducible in the integers, it seems therefore natural to associate it with the most stable subsystem. We prove that 1, 3, 5, 7, 11, 23, 47 are the most stable primes. (2) The symmetric principle. The most stable configuration of two prime numbers is then stable symmetric system in nature. We prove that 2, 4, 6, 10, 14, 22, 46, 94 are the most stable even numbers. By using the prime number principle and the symmetric principle we calculate the best electron configurations of the elements. Total quantum number and orbital quantum number determine the best electron configurations of the elements n l 1 2 3 4 5 6.. ... n . K L M N O P = Electron shells: Electron subshells: 2(2 1) 2 6 10 14 18 22.. ... l s p d f g h + = . ) ) An atomic subshell that contains its full quota of electrons is said to be closed. A closed subsell holds two electrons, a closed subshed s ( 0 l = p ( 1 l = six electrons, a closed subshell ten electrons, a closed d ( 2 l = f ( 3 l ) ) = subshell fourteen electrons, these subshells are the most stable, a closed subshell g ( 4 l ) = eighteen electrons is the most unstable. Using the symmetric principle it has been proved the 2(2 1) 2,6,10 l + = and 14 are stable and is unstable[1-10]. The , and 2(2 1) 18 l + = , . s p d f subshells are stable and the subshell is unstable. g From 1 to 92 of the atomic numbers every subshell is stable. It has been proved that the last stable element that occurs naturally is uranium with an atomic number of 92 and there are only 92 stable elements in nature. Since subshell is unstable, the elements 93-110 are unstable. Since is unstable, and 6 subshells are unstable. Therefore the elements 111-182 are unstable.. 5g h 5g 6 , ,6 ,6 ,6 s bp d f g Using the 1s,2s,3s,4s,and 5s of electron configurations[6-8,10] we make the Jiang periodic table of elements with five periods.The sequence of period lengths is 2,8,18,32,50.Table 1 shows