Pauli
Pauli Exclusion Principle: no two electrons can have the same set of four quantum numbers
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1st - Principle QN n |
2nd - Orbital QN l |
3rd - Magnetic QN ml |
4th - Spin QN ms |
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n = 1,2,3...7 |
l goes from 0 to n-1 within an energy level l values = 0 (for s), 1(for p), 2 (for d), 3 (for f) sublevels |
Values of ml go from +l to - l , which gives 2l + 1 number of values |
has 2 values: +1/2 (spin up) and -1/2(spin down) |
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1. measures the average distance of the e- from the nucleus |
1. indicates the shape of the orbital ( set of probable locations of the e- ) |
1. identifies the direction the e- orbital has around the nucleus |
1. identifies the "spin" or rotation of the e- about its own axis |
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2. different values of n mean different energy levels |
2. diff. values of l mean diff sublevels. In a sublevel all the e- have nearly the same energy. |
2. specifies the e- orbital in which the e- is located within a sublevel. |
2. shows that each orbital can contain only 2 e- |
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3. different values of n mean relatively large differences in the energies of the e-s |
3. different sublevels within the same level may have moderately large differences in energy. |
3. different values of ml mean little difference in energies of the e- |
3. the direction of spin is either in one direction or the other |
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4. the smallest avgerage distance and the lowest energy occurs when n = 1; each increase in n increases those quantities. |
4. within any level, the lowest energy sublevel is s, then p, then d, then f. |
4. the number of possible values of ml within a sublevel idenities how many e- pairs that the sublevel can hold |
4. when 2 e- (in an atom) have the same set of QN except for ms, then these e- are called an e- pair |
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5. the number of e- possible in a level is 2n2 |
5. the number of possible values of l for a level is equal to the value of n |
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5.these e- within an e- pair have essentially the same energy |