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Quantum physics underlining the 'magic numbers' in chemical bonding & more.

  1. Jan 14, 2012 #1
    a. What do we know about any quantum-physical law, dictating 8 electrons in the outer atomic shell + the other shells' populations, including the 2 electrons in the innermost. Any physical theory behind these numbers, or just an empirical reality ?

    b. How reacting atoms 'choose' between, e.g., ionic bond and covalent bond ?

    c. What Hydrogen was used in the early spectra measurements (e.g., Balmer) - atomic or molecular ? Since the spectra are atomic in nature, how did they split the H molecule into two atoms in those days ?
     
  2. jcsd
  3. Jan 16, 2012 #2
    Let me take a try at the question (a)

    The number of electrons in the shell come from "quantum numbers". While solving the Schrodinger equation for Hydrogen atom, we get 3 quantum numbers : n (principal), l (orbital) and ml (magnetic). The values these take are given as

    n : 1,2,3,,,, (This number refers to "shells")
    l : 0 to n-1
    ml: -l to l

    All of these are integers.

    Apart from this we have a quantum number for spin(ms), which takes only 2 values.

    The combination of all the 4 quantum numbers define a quantum state (n,l,ml,ms). As per Pauli's exclusion principle, each of these states can be occupied by only one electron.

    So if you start from n=1, and apply the above rules, you will see that for n=1, l = 0, and ml =0. So we have only one combination. But we have 2 values for ms. So that means, we have 2 quantum states for n=1. Hence the lowermost shell, can take 2 electrons.

    From this, you can continue for n=2 etc...
     
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