Which of the following is a $2 p$ $2p$ orbital?

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Which of the following is a $2 p$ $2p$ orbital?

$A)$ $A)$

$B)$ $B)$

$C)$ $C)$

$D)$ $D)$

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Answer 1 · 2016-08-19T20:32:31

The $2 p$ $2p$ orbital is $D$ $D$ .

$A$ $A$ is an $n s$ $ns$ orbital, probably $3 s$ $3s$ or $4 s$ $4s$ , though it depends on their size.
$B$ $B$ is a $3 d_{z^{2}}^{2}$ $3d_(z^2)$ orbital.
$C$ $C$ is a $3 d_{x z}$ $3d_(xz)$ orbital.

However, do not trust the image. $B$ $B$ , $C$ $C$ , and $D$ $D$ are wrong because all the lobe signs are presented to be the same whereas they aren't.

The $3 d_{z^{2}}^{2}$ $3d_(z^2)$ orbital ring is the opposite sign, the $3 d_{x z}$ $3d_(xz)$ has diagonal lobes of the same sign ( $y z$ $yz$ and $x y$ $xy$ nodal planes), and the $2 p_{z}$ $2p_z$ orbital's second lobe is the opposite sign.

The $2 p$ $2p$ orbital has:

$n = 2$ $n = 2$ , for the principal quantum number. $n$ $n$ can be one number in the set ${1, 2, 3, . . .}$ ${1,2,3, . . . }$ .

$l = 1$ $l = 1$ , for the angular momentum quantum number since $l = {0, 1, 2, 3, . . .} \leftrightarrow {s, p, d, f, . . .}$ $l = {0,1,2,3, . . . } harr {s,p,d, f, . . . }$ .

If you recall:

The total number of nodes (radial or angular regions of zero electron density) is equal to $n - 1$ $n - 1$ .
The total number of angular nodes (nodal planes or conic nodes) is $l$ $l$ .
The total number of radial nodes is $n - l - 1$ $n - l - 1$ .

Since $l = 1$ $l = 1$ , there is one angular node, and since $n - 1 = 1$ $n - 1 = 1$ , it is the only node.

On either side of a nodal plane is a lobe of the opposite sign, and thus, there are two lobes on a $2 p$ $2p$ orbital. That means it has to be either $B$ $B$ or $D$ $D$ .

The $B$ $B$ orbital has $2$ $2$ conic nodes, which are angular nodes, and corresponds to how $l = 2$ $l = 2$ corresponds to a $d$ $d$ orbital.

$B$ $B$ is actually a $3 d_{z^{2}}^{2}$ $bb(3d_(z^2))$ orbital, like so:

Both lobes on $B$ $B$ are actually the same sign, whereas it's the ring that is the opposite sign.

The $2 p$ $2p$ orbital is $D$ $color(blue)(D)$ .

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Which of the following is a $2 p$ $2p$ orbital?

$A)$ $A)$

$B)$ $B)$

$C)$ $C)$

$D)$ $D)$

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