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Learn about the different energy levels, sublevels, and orbitals in atoms. Discover how electrons move around the nucleus and the mathematical relationships between principal energy levels, orbitals, and electron numbers.
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Atomic Orbitals Ken Rogers Miami Killian
Electrons orbit the atom in different energy levels Principal Energy Levels 1st 2nd 3rd 4th Etc. Within these principal energy levels there are other energy levels called sublevels. nucleus
s 1 2 3 4
An orbital is the path or pattern that a pair of electrons take as they orbit the nucleus. 0 s 0 2 spherical 1
1s orbital 2s orbital
s 1 1 2 2 1 2 3 4
2e- Principal Energy Levels 1st 2nd 3rd 4th Sublevels 1s2
s p s 1 1 2 2 1 2 3 4
An orbital is the path or pattern that a pair of electrons take as they orbit the nucleus. 0 s 0 2 spherical 1 dumbbell pg 205 p 1 6 -1,0,1 3
pz px py x x y z z z
s p s 1 1 2 2 1 1 2 4 8 2 3 6 3 4
2s2 2p6 2e- 8e- Principal Energy Levels 1st 2nd 3rd 4th Sublevels 1s2
s s p p d s 1 1 2 2 1 1 2 4 8 2 3 6 3 4
0 s 0 2 spherical 1 p 1 6 -1,0,1 dumbbell pg 205 3 d 2 10 -2,-1,0,1,2 pg 206 5
z z z x y y y x x z y y x x z dxy dyz dxz dX2-y2 dz2
s s p p d s 1 1 2 2 1 1 2 4 8 2 3 6 1 2 3 9 6 18 3 5 10 4
2s2 2p6 2e- 8e- 18e- Principal Energy Levels 1st 2nd 3rd 4th Sublevels 3s2 1s2 3p6 3d10
s s p p d s 1 1 2 2 1 1 2 4 8 2 3 6 1 2 9 18 3 6 3 5 10 s p 4 d f
0 s 0 2 spherical 1 p 1 6 -1,0,1 dumbbell pg 205 3 2 10 -2,-1,0,1,2 pg 206 d 5 3 14 -3,-2,-1,0,1,2,3 complicated f 7
s s p p d s 1 1 2 2 1 1 2 4 8 2 3 6 1 2 9 18 3 6 3 5 10 s 1 2 p 6 3 4 16 32 d 5 10 f 14 7
2s2 2p6 2e- 32e- 8e- 18e- Principal Energy Levels 1st 2nd 3rd 4th Sublevels 3s2 4s2 1s2 3p6 4p6 3d10 4d10 4f14
n2 = # of orbitals There’s a mathematical relationship between the Principal Energy Level (n) and the number of orbitals it contains. What is it? s s p p d s 1 1 2 2 1 1 2 8 4 2 3 6 1 2 3 18 6 9 3 5 10 s 1 2 p 6 3 4 16 32 d 5 10 f 14 7
2n2 = # of electrons There’s a mathematical relationship between the Principal Energy Level (n) and the number of electrons it contains. What is it? s s p p d s 1 1 2 2 1 1 2 8 4 2 3 6 1 2 3 18 6 9 3 5 10 s 1 2 p 6 3 4 16 32 d 5 10 f 14 7