What is the maximum number of electrons in an atom that can have the following quantum numbers?

a. n = 3, m1 = -2;
b. n = 4, l = 3;
c. n = 5, l = 3, ml = 2;
d. n = 4, l = 1 ml = 0.

Respuesta :

Answer:

Explanation:

a ) n = 3, m1 = -2

when n = 3 , l = 0 , 1 , 2 .

when l = 2 , one electron may have m = -2 .

two electrons with s = + 1/2 and - 1/2 may have m = -2 .

So only two electrons may have the configuration of n = 3 , m = -2 .

b )  n = 4, l = 3

when , n = 4 and l = 3 , m may have values -3 , -2 , -1 , 0 , 1 , 2 , 3 . Each m have two electrons with s = + 1/2 and - 1/2 .

So altogether there are 7 x 2 = 14 electrons that have configuration of n = 4, l = 3 .

c ) n = 5, l = 3, ml = 2

Similar to case of a ) , only two electrons with s = + 1/2 and - 1/2 may have configuration of n = 5, l = 3, ml = 2

d ) n = 4, l = 1 ml = 0.

In this case also only two electrons may have configuration of

n = 4, l = 1 ml = 0. with s = + 1/2 and - 1/2 .

(a) The maximum number of electrons in an atom that have n = 3, ml = -2 is two electrons.

(b) The maximum number of electrons in an atom that have n = 3, ml = -2 is 14 electrons.

(c) The maximum number of electrons in an atom that have n = 5  l = 3, ml = 2 is two electrons.

(d) The maximum number of electrons in an atom that have n = 4  l = 1 , ml = 0 is two electrons.

The given parameters:

  • n = 3, ml = -2
  • n = 4, l = 3
  • n = 5, I = 3, ml = 2
  • n = 4, I = ml = 0

The maximum number of electrons in an atom that have n = 3, ml = -2

  • the quantum number = 3
  • the maximum number of electron = 2

The maximum number of electrons in an atom that have n = 4, l = 3

  • the quantum number = 4
  • the maximum number of electron = (2 x 3) + 1 = 7

The orbital is 7  which corresponds to f-orbital and the maximum number of electrons = 14;

The maximum number of electrons in an atom that have n = 5  l = 3, ml = 2

  • the quantum number = 5
  • the maximum number of electrons  = 2

The maximum number of electrons in an atom that have n = 4  l = 1 , ml = 0

  • the quantum number = 4
  • the maximum number of electrons = 2

Learn more about quantum number of electrons here: https://brainly.com/question/11575590

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