by wendy » Fri Feb 22, 2008 8:35 am
There is a different periodic table, because the orbitals are different. For example, the s orbital is spherical, and is occupied by two electrons. This is the only orbital on row 1. The p-orbital is polar, usually in the direction of the axies. Since there are four axies in 4d, there are four axies. The sp can merge to form n+1 arrows, in the direction of verticies of the simplex. This means that the C atom (which has this feature), would be of valence n (against 2n), and the orbits would point to the vertices of a simplex.
The structure of diamond, would then be alternately placed inverted simplexes (tetrahedra, pentachora), the 2d example being the vertices of a hexagonal lattice.
Even taking two electrons per orbital, we have
first row: 1-2
1s spherical, = 1 position: 2 elements (H, He)
second row 3-10, 3-12
2s spherical, = 1 position: 2 elements, eg Li, Be
2p polar = n positions, 2n elements,
third row 11-18, 13-22
3s spherical, = 1 position: 2 elements, eg Li, Be
3p polar = n positions, 2n elements,
fourth row 19-36; 23-58
4s spherical = 1 orbital: 2 elements
3d ? 3d = 5 orbitals, 4d = 8 orbitals (say)
4p polar = n orbital, 2n elements
fifth row 36-54; 59-84
5s 1 orbital = 2,2
4d 5, 8 orbitals = 10,16
5p 3, 4 orbitals = 6,8