The Noble Gas Equations
By: Andy Jiang There is a pattern in the atomic numbers of Noble Gasses. The atomic of Noble Gasses aren't arbitrary or random. They have beautiful equations, which I have derived, that gives the atomic number of a Noble Gas based on what period it is in. Theoretically, my equations can work beyond the 7th period. The fact that there is an underlying pattern among the atomic number of Noble Gasses, something seemingly arbitrary, is a property of our mathematical, beautiful universe. The atomic number of Nobel Gasses goes in this pattern based on the period: 2, 8, 18, 36, 54, 86, 118, .... You can extend it beyond the 7th period: ..., 118, 168, 218, 290, 362, 460, .... The pattern is that the number of electrons …show more content…
The differences are: 8, 8, 18, 18, 32, 32, 50,..., which is also the amount of electrons needed to fill each energy level to the next. You need to take the difference again, resulting in: 0, 10, 0, 14, 0, 18, .... The equation used to represent this sequence is 6+2n. However, that is only the case if n is even, as with odds, it is zero. Because 6+2n only applies to evens, there are two equations for the atomic number of Noble Gasses instead of one. By using discrete math, I derived an equation for the first difference of the sequence: which is 1/2(n+2)^2 for evens, and 1/2(n+3)^2 for odds because the difference repeats itself once. Those equations can also be used to determine the amount of electrons to fill each period to the …show more content…
Only one equation is needed because the latter is just a shifted version of the former and with algebraic manipulation, only one equation will be needed. Taking the sums and combining terms with discrete math, I have derived two solutions: 1/6n^3 + n^2 + 7/3n for evens, and 1/6n^3 + n^2 + 11/6n - 1 for odds, where n is the period the noble gas is in. As stated or implied before, the reason for the different equations is because the electron capacity increases every two periods, not
By: Andy Jiang There is a pattern in the atomic numbers of Noble Gasses. The atomic of Noble Gasses aren't arbitrary or random. They have beautiful equations, which I have derived, that gives the atomic number of a Noble Gas based on what period it is in. Theoretically, my equations can work beyond the 7th period. The fact that there is an underlying pattern among the atomic number of Noble Gasses, something seemingly arbitrary, is a property of our mathematical, beautiful universe. The atomic number of Nobel Gasses goes in this pattern based on the period: 2, 8, 18, 36, 54, 86, 118, .... You can extend it beyond the 7th period: ..., 118, 168, 218, 290, 362, 460, .... The pattern is that the number of electrons …show more content…
The differences are: 8, 8, 18, 18, 32, 32, 50,..., which is also the amount of electrons needed to fill each energy level to the next. You need to take the difference again, resulting in: 0, 10, 0, 14, 0, 18, .... The equation used to represent this sequence is 6+2n. However, that is only the case if n is even, as with odds, it is zero. Because 6+2n only applies to evens, there are two equations for the atomic number of Noble Gasses instead of one. By using discrete math, I derived an equation for the first difference of the sequence: which is 1/2(n+2)^2 for evens, and 1/2(n+3)^2 for odds because the difference repeats itself once. Those equations can also be used to determine the amount of electrons to fill each period to the …show more content…
Only one equation is needed because the latter is just a shifted version of the former and with algebraic manipulation, only one equation will be needed. Taking the sums and combining terms with discrete math, I have derived two solutions: 1/6n^3 + n^2 + 7/3n for evens, and 1/6n^3 + n^2 + 11/6n - 1 for odds, where n is the period the noble gas is in. As stated or implied before, the reason for the different equations is because the electron capacity increases every two periods, not