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Structure of Atoms

Structure of Atoms. Chapter 4. Quantum Numbers. Principal quantum number – ( n ). Angular momentum quantum number – ( l ). Magnetic quantum number – ( m l ). Spin quantum number – ( m s ). n=1. n=2. n=3. Quantum Numbers ( n , l , m l , m s ). principal quantum number n.

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Structure of Atoms

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  1. Structure of Atoms Chapter 4

  2. Quantum Numbers Principal quantum number – ( n ) Angular momentum quantum number – ( l) Magnetic quantum number – ( ml) Spin quantum number – ( ms)

  3. n=1 n=2 n=3 Quantum Numbers (n, l, ml, ms) principal quantum numbern n= 1, 2, 3, 4, …. distance of e- from the nucleus

  4. Quantum Numbers(n, l, ml, ms) angular momentum quantum numberl for a given value of n,l= 0, 1, 2, 3, … n-1 l = 0 s orbital l = 1 p orbital l = 2 d orbital l = 3 f orbital n = 1, l = 0 n = 2, l = 0 or 1 n = 3, l = 0, 1, or 2 Shape of the “volume” of space that the e- occupies

  5. l= 0 (s orbitals) l= 1 (p orbitals)

  6. l= 2 (d orbitals)

  7. Quantum Numbers (n, l, ml, ms) magnetic quantum numberml for a given value of lml= -l, …., 0, …. +l for l = 0 (s orbital)ml= 0 if l = 1 (p orbital),ml= -1, 0, or +1 if l = 2 (d orbital),ml= -2, -1, 0, +1, or +2 orientation of the orbital in space

  8. ml = -1 ml = 0 ml = 1 ml = -2 ml = -1 ml = 0 ml = 1 ml = 2

  9. Quantum Numbers (n, l, ml, ms) spin quantum numberms ms= +½or -½ ms = +½ ms = -½ Experimental arrangement for demo the spinning motion of electrons Q & A

  10. Quantum Numbers (n, l, ml, ms) Existence (and energy) of electron in atom is described by its unique Quantum Numbers Pauli exclusion principle No two electrons in an atom can have the same four quantum numbers.

  11. How many electrons can an orbital hold? Quantum Numbers (n, l, ml, ms) Shell – electrons with the same value of n Subshell – electrons with the same values of nandl Orbital – electrons with the same values of n, l, andml

  12. How many electrons can be placed in the 3d subshell? How many 2p orbitals are there in an atom? Q & A

  13. number of electrons in the orbital or subshell principal quantum number n angular momentum quantum number l 1s1 Electron configuration is how the electrons are distributed among the various atomic orbitals in an atom. 1s1 Orbital diagram H

  14. Order of orbitals (filling) in multi-electron atom “Fill up” electrons in lowest energy orbitals (Aufbau principle) 1s < 2s < 2p < 3s < 3p < 4s < 3d < 4p < 5s < 4d < 5p < 6s

  15. C 6 electrons C 1s22s22p2 B 5 electrons B 1s22s22p1 Li 3 electrons Li 1s22s1 H 1 electron H 1s1

  16. The most stable arrangement of electrons in subshells is the one with the greatest number of parallel spins (Hund’s rule). Ne 10 electrons Ne 1s22s22p6 F 9 electrons F 1s22s22p5 O 8 electrons O 1s22s22p4 N 7 electrons N 1s22s22p3

  17. What is the electron configuration of Mg? What are the possible quantum numbers for the last (outermost) electron in Cl?

  18. Outermost subshell being filled with electrons

  19. 2p 2p Paramagnetic Diamagnetic unpaired electrons all electrons paired

  20. Q & A session Name the orbital described by the following quantum numbers : • n = 3, l = 0 • n = 3, l = 1 • n = 3, l = 2 • n = 5, l = 0

  21. Q & A session Give the n and l values for the following orbital     a. 1s    b. 3s    c. 2p    d. 4d    e. 5f What and the possible ml values for the following types of orbital?     a. s    b. p    c. d    d. f

  22. Q & A session How many possible orbital are there for n =     a. 4    b. 10 How many electrons can inhabit all of the n = 4 orbital? Place the following orbital in order of increasing energy:     1s, 3s, 4s, 6s, 3d, 4f, 3p, 7s, 5d, 5p

  23. Q & A session Write electron configurations for the following atoms:     a. H     b. Li+     c. N     d. F-     e. Ca

  24. Q & A session Draw an orbital diagrams for atoms with the following electron configurations: 1s22s22p63s23p3

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