Anonymous
Anonymous asked in Science & MathematicsPhysics · 1 decade ago

Electron Shell Conceptual Questions?

INTRO:

Consider an electron in the state n = 4, l = 3, m = 2, s = 1/2.

QUESTIONS:

1) In what shell is this electron located?

2) In what subshell is this electron located?

3) How many other electrons could occupy the same subshell as this electron?

4) What is the orbital angular momentum L of this electron?

= ______ h (h bar)

5) What is the z component of the orbital angular momentum of this electron, L sub z?

= ______ h

6) What is the z component of the spin angular momentum of this electron, S sub z?

= ______ h

3 Answers

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  • 1 decade ago
    Favorite Answer

    1)

    The shell is given by the principal quantum number n.

    So electron is in fourth shell. In notation of the classic shell model it is the N-shell

    2)

    Subshell is given by the azimuthal quantum number l.

    l=3 stand for subshellf or f-orbital

    3)

    13, because there are up to 14 electron in a f-orbital.

    Genral the total number of electron in subshell l is

    z =4l + 2

    4)

    L² = l∙(l+1)∙ħ² = 12∙ħ²

    =>

    L = √12 ∙ ħ

    5)

    Lz = m ∙ ħ = 2 ∙ ħ

    6)

    Sz = s∙ħ = (1/2) ∙ ħ

  • 7 years ago

    1) N, where n=1,2,3,4... shell=K,L,M,N...

    2) f

    3)13 (14 total)

    4) L=sq rt (l(1+l))=sq rt(3(1+3))=3.46

    5) same as m which is 2

    6) I don't know

  • sprang
    Lv 4
    4 years ago

    you will in all probability desire to first sublimate the forged to gasoline which for particular will use potential then ionization of the atom will initiate so the potential in finished in potential of sublimation + potential of ionization = extra suitable than 459 so C is genuine for particular

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