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38,96u
K: 39,10u → 39,96u (despreciable)
                   40,96u
         ó        1: %
                          → 39,10 =                        → 3910
                                      ,       ,   .(   )
     ó       2: (100 − )%

          = 38,96 + 4096 − 40,96 → 2 = 186 →               = 93%




p+           8           8       8        7                 9       7
n0           8           8       9        9                 7       9
e-           8           6       8        8                11       7

                 ISÓTOPOS
                             ;
                 IONES
                         ←                ←
?
                               = 1,2, … ,5
                             = 5,29. 10
                                 = .

                         =1→      = 5,29. 10
                         =2→      = 2,12. 10
                         =3→      = 4,76. 10
                         =4→      = 8,469. 10
                         =5→      = 1,32. 10




                                   5 ( = 5)




                                    6 ( = 6)




          3,0,0, +   →
          4,2,2, +   →
          2,1,1, −   →
7,2,3, −     →           ; −2 ≤    ≤2
 0,1,2,     →            ; −1 ≤   ≤1
      (3,0,0, − ) →
1
             3,0,0, +       →   3
                      2
                      1
             4,2,2, +       →   4
                      2
                      1
             2,1,1, −       →   2
                      2
                      1
             3,0,0, −       →   3
                      2




                        =
      =0→   =0→
                        =−

                          =
            = −1 →
                          =−

                          =
      =1→   =0→
                        =−

                          =
            =1 →
                        =−

                          =
=3→         = −2 →
                          =−

                          =
            = −1 →
                          =−

                          =
      =2→   =0→
                        =−

                          =
            =1 →
                        =−

                          =
            =2→
                        =−
( = 20): 1 2 2 3 3 4
                   ( = 50): 1 2 2 3 3 4 3 4 5 4 5
                 ( = 55): 1 2 2 3 3 4 3 4 5 4 5 6
                                ( = 7): 1 2 2
                  ( = 53): 1 2 2 3 3 4 3 4 5 4 5
                 ( = 56): 1 2 2 3 3 4 3 4 5 4 5 6
                             ( = 13): 1 2 2 3 3
                   ( = 54): 1 2 2 3 3 4 3 4 5 4 5




1 2 2       4 :                  ,                 3 3                     .
                                             í :1 2 2 3
1 2 2       :                                       .

1 2 2       3 :                          .                                 á       6
                                                   í :1 2 2          3 3
1 2 2       3 :                                      ,                2
                                                   í :1 2 2




1 2     :                                    ,               2             .
                                                 í :1 2 2
3 :                                  ,                      1 ,2 2             .
                                                         í :1
1 2 2       3 3     :                            ,               3 4                   .
                                                    í :1 2 2 3 3
1 2 2       :                                       ,          2
                                                   í :1 2 2




                        ( = 32): 1 2 2           3 3   4 3       4

              1            1
4 :   4,0,0, +  ; 4,0,0, −
              2            2
4 :   4,1, −1, + ; 4,1,0, +
( = 20): 1 2 2    3 3    4




 ( = 20): 1 2 2    3 3       4




  ( = 17): 1 2 2   3 3




  ( = 17): 1 2 2    3 3
:3 3   →               18;       Í     3
    :4 3 4 →                   13;       Í     4
    :5 4 5 →                   14;       Í     5
        :6 →                2;     Í       6
       :4 3 →                8;      Í      4
    :4 3 4 →                   17;       Í     4




          5       →        2;    Í    5
      4     3      →          7;   Í    4
      3    3       →        14;     Í   3
      4    4       →        18;     Í   4
      5    4       →        11;     Í   5
          4       →        1;    Í    4




          ( = 14) → 1 2 2 3 3
         ( = 20) → 1 2 2 3 3 4
             ( = 9) → 1 2 2
             ( = 8) → 1 2 2
    ( = 37) → 1 2 2 3 3 4 3 4 5
( = 53) → 1 2 2 3 3 4 3 4 5 4 5




                       <     <    <      < <

              <    <   < <       <
(    = 14)        1 2 2 3 3
(    = 20)       1 2 2 3 3 4
(    = 9)           1 2 2
(    = 8)           1 2 2
(    = 37)   1 2 2 3 3 4 3 4     5
             1 2 2 3 3 4 3 4     5




 (   = 14)       1 2 2   3   3
(    = 17)       1 2 2   3   3
 (   = 9)          1 2   2
 (   = 6)          1 2   2
(    = 13)       1 2 2   3   3
(    = 15)       1 2 2   3   3
(   = 14)       1 2 2 3 3
(   = 20)      1 2 2 3 3 4
(   = 9)          1 2 2
(   = 8)          1 2 2
(   = 37)   1 2 2 3 3 4 3 4   5




(   = 14)       1 2 2 3 3
(   = 20)      1 2 2 3 3 4
(   = 9)          1 2 2
(   = 8)          1 2 2
(   = 37)   1 2 2 3 3 4 3 4 5
(   = 31)    1 2 2 3 3 4 3 4
"trampa",                           ó
    í               ó       ó ,         ó                         ,
                        í                   á         .
            ,               ,                             ó   ,
                                    resto del átomo
.       "           á           í
                                                  .
= 10
                     ¿á              1     ≡ 10     ?

                      10
ú       á      =                     = 5.10 á
                   2.10
                               á




      10,013
    →
       19,6%
      11,009
    →
       80,4%



                              (10,013.19,6) + (11,009.80,4)
         ó                =                                 = 10,81
                                          100
= .



=1→   =
=2→   =4




                                 −
                             =



=1→   =−
=2→   =




                                   −           3
          [   →   :∆ =   −           =− (− ) =
                                    4           4
                                   −    −      9
      [       →   :∆ =   −       =    −     =
                                   25    16    400
=
      =0→   =0→
                     =−

                      =
            = −1 →
                     =−
=2→
                     =
      =1→   =0→
                     =−

                      =
            =1 →
                     =−
=
              =0→   =0→
                             =−

                              =
                    = −1 →
                             =−

                             =
          =1→       =0→
                             =−

                              =
                    =1 →
                             =−

                              =
=3→                 = −2 →
                             =−

                              =
                    = −1 →
                             =−

                             =
          =2→       =0→
                             =−

                              =
                    =1 →
                             =−

                             =
                    =2→
                             =−




          1
 2,1,0,
          2

        −1
 3,3,0,
        2
        −1
 4,0,0,
        2
        −1
 6,4,5,
        2

          1
 1,1,0,
          2

          1
 5,2,2,
          2
1
2,1,0,    →        2
       2
       −1
4,0,0,     →           4
        2
       1
5,2,2, →           5
       2




         3
         7
         4
         2




                                =0→   =0→2
                                      = −1 → 2
                   =2→          =1→   =0→2
                                      =1 →2

               á           8               á

                                =0→   =0→2
                                      = −1 → 2
                                =1→   =0→2
                                      =1 →2
                                      = −2 → 2
                                      = −1 → 2
                                =2→    =0→2
                                       =1 →2
                   =4→
                                       =2→2
                                      = −3 → 2
                                      = −2 → 2
                                      = −1 → 2
                                =3→    =0→2
                                       =1 →2
                                       =2→2
                                       =3→2
               á           32               á
1 2 2 3 3
                                  1 2 2 3 3 4 3
                    1 2 2        3 3 4 3 4 5 4                 5   6 4       ∗




      1 2 2         4

    1 2 2 3 3
1 2 2 3 3 4 3               4




1 2 2   3 3   4 3           4


        1 2 2

      1 2 2         3




          ( = 47): 1 2 2                 3 3   4 3       4   5 4   ∗

                                         1          −1
                                5,0,0,     ; (5,0,0, )
                                         2          2




                            ( = 14): 1 2 2         3 3
                                 ,                                       á       í
 1
− .             ,       ú                                                á
 2
( = 56): 1 2 2 3 3       4 3     4 5 4      5       6
             = 1:              → 24
             = 2:              → 20




 ( = 56): 1 2 2   3 3 4 3        4    5 4       5       6
       = 1:         , , ∶ 12




                    −
                    −
                     −
                    −
                    −




                 :4 4
                   :6
                 :5 4
                   :6
                 :4 3
              :6 4 5       6




       2 2 :         16;     Í       2
      6 4 5 :          7;       Í      6
        3 3 :       18;      Í       3
          7 :      1;     Í       7
         1 :       18;     Í       1
       4 3 :         12;      Í      4
1 2 2   3 3   4 3    4       5



1 2 2   3 3   4 3        4




                                      1
                    1 2 2        3 3 4 3 4   5 4   5
                                     1 2
                                   1 2 2 3
                                    1 2 2
                                    1 2 2
1   2   2   3   3
                             1   2   2   3   3
                             1   2   2   3   3
                             1   2   2   3   3
                             1   2   2   3   3
                             1   2   2   3   3




(    = 1)                  1
(    = 55)   1 2 2   3 3 4 3 4 5 4       5   6
 (   = 4)                 1 2
(    = 11)              1 2 2 3
(    = 7)                1 2 2
(    = 1)                  1
    (    = 55)   1 2 2   3 3 4 3 4 5 4   5   6
     (   = 4)                 1 2
    (    = 11)             1 2 2 3
    (    = 7)               1 2 2




2

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Los atomos-t4

  • 1. 38,96u K: 39,10u → 39,96u (despreciable) 40,96u ó 1: % → 39,10 = → 3910 , , .( ) ó 2: (100 − )% = 38,96 + 4096 − 40,96 → 2 = 186 → = 93% p+ 8 8 8 7 9 7 n0 8 8 9 9 7 9 e- 8 6 8 8 11 7 ISÓTOPOS ; IONES ← ←
  • 2. ? = 1,2, … ,5 = 5,29. 10 = . =1→ = 5,29. 10 =2→ = 2,12. 10 =3→ = 4,76. 10 =4→ = 8,469. 10 =5→ = 1,32. 10 5 ( = 5) 6 ( = 6) 3,0,0, + → 4,2,2, + → 2,1,1, − → 7,2,3, − → ; −2 ≤ ≤2 0,1,2, → ; −1 ≤ ≤1 (3,0,0, − ) →
  • 3. 1 3,0,0, + → 3 2 1 4,2,2, + → 4 2 1 2,1,1, − → 2 2 1 3,0,0, − → 3 2 = =0→ =0→ =− = = −1 → =− = =1→ =0→ =− = =1 → =− = =3→ = −2 → =− = = −1 → =− = =2→ =0→ =− = =1 → =− = =2→ =−
  • 4. ( = 20): 1 2 2 3 3 4 ( = 50): 1 2 2 3 3 4 3 4 5 4 5 ( = 55): 1 2 2 3 3 4 3 4 5 4 5 6 ( = 7): 1 2 2 ( = 53): 1 2 2 3 3 4 3 4 5 4 5 ( = 56): 1 2 2 3 3 4 3 4 5 4 5 6 ( = 13): 1 2 2 3 3 ( = 54): 1 2 2 3 3 4 3 4 5 4 5 1 2 2 4 : , 3 3 . í :1 2 2 3 1 2 2 : . 1 2 2 3 : . á 6 í :1 2 2 3 3 1 2 2 3 : , 2 í :1 2 2 1 2 : , 2 . í :1 2 2 3 : , 1 ,2 2 . í :1 1 2 2 3 3 : , 3 4 . í :1 2 2 3 3 1 2 2 : , 2 í :1 2 2 ( = 32): 1 2 2 3 3 4 3 4 1 1 4 : 4,0,0, + ; 4,0,0, − 2 2 4 : 4,1, −1, + ; 4,1,0, +
  • 5. ( = 20): 1 2 2 3 3 4 ( = 20): 1 2 2 3 3 4 ( = 17): 1 2 2 3 3 ( = 17): 1 2 2 3 3
  • 6. :3 3 → 18; Í 3 :4 3 4 → 13; Í 4 :5 4 5 → 14; Í 5 :6 → 2; Í 6 :4 3 → 8; Í 4 :4 3 4 → 17; Í 4 5 → 2; Í 5 4 3 → 7; Í 4 3 3 → 14; Í 3 4 4 → 18; Í 4 5 4 → 11; Í 5 4 → 1; Í 4 ( = 14) → 1 2 2 3 3 ( = 20) → 1 2 2 3 3 4 ( = 9) → 1 2 2 ( = 8) → 1 2 2 ( = 37) → 1 2 2 3 3 4 3 4 5 ( = 53) → 1 2 2 3 3 4 3 4 5 4 5 < < < < < < < < < <
  • 7. ( = 14) 1 2 2 3 3 ( = 20) 1 2 2 3 3 4 ( = 9) 1 2 2 ( = 8) 1 2 2 ( = 37) 1 2 2 3 3 4 3 4 5 1 2 2 3 3 4 3 4 5 ( = 14) 1 2 2 3 3 ( = 17) 1 2 2 3 3 ( = 9) 1 2 2 ( = 6) 1 2 2 ( = 13) 1 2 2 3 3 ( = 15) 1 2 2 3 3
  • 8. ( = 14) 1 2 2 3 3 ( = 20) 1 2 2 3 3 4 ( = 9) 1 2 2 ( = 8) 1 2 2 ( = 37) 1 2 2 3 3 4 3 4 5 ( = 14) 1 2 2 3 3 ( = 20) 1 2 2 3 3 4 ( = 9) 1 2 2 ( = 8) 1 2 2 ( = 37) 1 2 2 3 3 4 3 4 5 ( = 31) 1 2 2 3 3 4 3 4
  • 9. "trampa", ó í ó ó , ó , í á . , , ó , resto del átomo . " á í .
  • 10. = 10 ¿á 1 ≡ 10 ? 10 ú á = = 5.10 á 2.10 á 10,013 → 19,6% 11,009 → 80,4% (10,013.19,6) + (11,009.80,4) ó = = 10,81 100
  • 11. = . =1→ = =2→ =4 − = =1→ =− =2→ = − 3 [ → :∆ = − =− (− ) = 4 4 − − 9 [ → :∆ = − = − = 25 16 400
  • 12.
  • 13.
  • 14. = =0→ =0→ =− = = −1 → =− =2→ = =1→ =0→ =− = =1 → =−
  • 15. = =0→ =0→ =− = = −1 → =− = =1→ =0→ =− = =1 → =− = =3→ = −2 → =− = = −1 → =− = =2→ =0→ =− = =1 → =− = =2→ =− 1 2,1,0, 2 −1 3,3,0, 2 −1 4,0,0, 2 −1 6,4,5, 2 1 1,1,0, 2 1 5,2,2, 2
  • 16. 1 2,1,0, → 2 2 −1 4,0,0, → 4 2 1 5,2,2, → 5 2 3 7 4 2 =0→ =0→2 = −1 → 2 =2→ =1→ =0→2 =1 →2 á 8 á =0→ =0→2 = −1 → 2 =1→ =0→2 =1 →2 = −2 → 2 = −1 → 2 =2→ =0→2 =1 →2 =4→ =2→2 = −3 → 2 = −2 → 2 = −1 → 2 =3→ =0→2 =1 →2 =2→2 =3→2 á 32 á
  • 17. 1 2 2 3 3 1 2 2 3 3 4 3 1 2 2 3 3 4 3 4 5 4 5 6 4 ∗ 1 2 2 4 1 2 2 3 3 1 2 2 3 3 4 3 4 1 2 2 3 3 4 3 4 1 2 2 1 2 2 3 ( = 47): 1 2 2 3 3 4 3 4 5 4 ∗ 1 −1 5,0,0, ; (5,0,0, ) 2 2 ( = 14): 1 2 2 3 3 , á í 1 − . , ú á 2
  • 18. ( = 56): 1 2 2 3 3 4 3 4 5 4 5 6 = 1: → 24 = 2: → 20 ( = 56): 1 2 2 3 3 4 3 4 5 4 5 6 = 1: , , ∶ 12 − − − − − :4 4 :6 :5 4 :6 :4 3 :6 4 5 6 2 2 : 16; Í 2 6 4 5 : 7; Í 6 3 3 : 18; Í 3 7 : 1; Í 7 1 : 18; Í 1 4 3 : 12; Í 4
  • 19. 1 2 2 3 3 4 3 4 5 1 2 2 3 3 4 3 4 1 1 2 2 3 3 4 3 4 5 4 5 1 2 1 2 2 3 1 2 2 1 2 2
  • 20. 1 2 2 3 3 1 2 2 3 3 1 2 2 3 3 1 2 2 3 3 1 2 2 3 3 1 2 2 3 3 ( = 1) 1 ( = 55) 1 2 2 3 3 4 3 4 5 4 5 6 ( = 4) 1 2 ( = 11) 1 2 2 3 ( = 7) 1 2 2
  • 21. ( = 1) 1 ( = 55) 1 2 2 3 3 4 3 4 5 4 5 6 ( = 4) 1 2 ( = 11) 1 2 2 3 ( = 7) 1 2 2 2