Question

The m value not possible for a double dumbbell-shaped orbital is

• A. 0
• B. $-1$
• C. $-2$
• D. $+3$

Answer 1

The correct option is D

$+3$

Explanation for correct option

(D)$+3$

D-orbitals

• The shape of d-orbitals is a double dumbell.
• Five orbitals are designated as $d_{\text{xy}},d_{\text{yz}},d_{\text{xz}},d_{{\text{x}}^{\text{2}}{\text{–y}}^{\text{2}}},d_{z^2}$

m-value for double dumbell

• The value of the azimuthal quantum number for d-orbital is two.
• So, the value of the magnetic quantum number is from -l to +l that is$-2\text{to}+2$.
• So, the value of m for a double dumbell-shaped orbital is $-2,-1,0,+1,+2$.
• Hence, the m value not possible for a double dumbbell-shaped orbital is $+3$.

Explanation for incorrect option

The possible value of m for double dumbbell-shaped orbital is $-2,-1,0,+1,+2$. Hence, options (A), (B), and (C) are incorrect.

Hence, option (D) is correct. The m value not possible for a double dumbbell-shaped orbital is $+3$.