Question #27e4d

1 Answer
Jun 10, 2016

This is actually hard to do completely without actual data.


INITIAL GUESS

My initial ordering would be based on charge (smallest to largest):

  1. #"Al"^(3+)#
  2. #"Mg"^(2+)#
  3. #"Na"^(+)#
  4. #"Ne"#
  5. #"F"^(-)#
  6. #"O"^(2-)#
  7. #"O"^(3-)#

since a larger positive charge gives a larger effective nuclear charge relative to an element on the same period with a smaller positive charge, and thus a smaller ionic radius.

But we are looking way across the periodic table, and the period trend and group trend overlap.

PERIOD/GROUP TREND CONFLICTS

Recall that the atomic radius resets to be bigger due to the addition of a new quantum level #n#, so #"Ne"# is smaller than #"Na"^(0)#. However, that doesn't tell us everything we need to know.

How much smaller does #"Mg"# get upon two ionizations, and #"Na"# get after one ionization? That's what I don't know. We can still say that #r_("Na"^(+)) > r_("Mg"^(2+))#, but...

The actual radii are:

  • #"53 pm"# (ionic radius)
  • #"72 pm"# (ionic radius)
  • #"102 pm"# (ionic radius)
  • #"69 pm"# (covalent radius)
  • #"133 pm"# (ionic radius)
  • #"140 pm"# (ionic radius)
  • #>"140 pm"# (ionic radius)

respectively, for the species listed at the top.

So I would have misplaced #"Ne"#. Apparently, #"Mg"^(2+)# is very slightly larger than #"Ne"#, by virtue of its added quantum level.

(And I could also be wrong if the atomic radii I referenced were poorly calculated or poorly determined as well, because #"3 pm"# is not a large margin of error.)

The "real" order, at least based on the data I referenced, would be (from smallest to largest):

  1. #"Al"^(3+)#, #r_"ionic" = "53 pm"#
  2. #"Ne"#, #r_"covalent" = "69 pm"#
  3. #"Mg"^(2+)#, #r_"ionic" = "72 pm"#
  4. #"Na"^(+)#, #r_"ionic" = "102 pm"#
  5. #"F"^(-)#, #r_"ionic" = "133 pm"#
  6. #"O"^(2-)#, #r_"ionic" = "140 pm"#
  7. #"O"^(3-)#, #r_"ionic" > "140 pm"#