Question:

The. five $d$-orbitals are designated as $d_{x y}, d_{y z}, d_{x z}, d_{x^{2}-y^{2}}$ and $d_{z^{2}}$. Choose the correct statement.

Updated On: Jun 14, 2022
  • The shapes of the first three orbitals are similar but that of the fourth and fifth orbitals are different.
  • The shapes of all five d-orbitals are similar
  • The shapes of the first four orbitals are similar but that of the fifth orbital is different
  • The shapes of all five d-orbitals are different
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is C

Solution and Explanation

The shape of fifth $d$-orbital is different. First four orbitals contain 4 lobes, but fifth orbital contains 2 lobes. The lobes of $d_{x y}$ orbital lie between $x$ and $y$ axes.
The lobes of $d_{y z}$ and $d_{x z}$ also lie between $y, z$ and $x, z$ axes respectively.
Four lobes of $d_{x^{2}-y^{2}}$ lie along $x$ and $y$ axes while 2 lobes of $d z^{2}$ lie along $z$ axis.
Was this answer helpful?
0
0

Concepts Used:

Subshell Electronic Configuration

Electron Configuration is referred to as the distribution of electrons in an atom's orbitals. An electron in an atom is defined by a set of four quantum numbers (n), the most important of which defines the main energy level known as a shell. The filling of electrons into different subshells, also known as orbitals (s, p, d, f) in an atom. The position of an element in the periodic table is determined by the quantum numbers of the last orbital filled.

Subshells:

  • The azimuthal quantum number (denoted by 'l') determines the subshells into which electrons are distributed.
  • The value of this quantum number is determined by the value of the principal quantum number, n. As a result, when n equals 4, four different subshells are possible.
  • When n = 4, The s, p, d, and f subshells correspond to l=0, l=1, l=2, and l=3 values, respectively.
  • The formula 2*(2l + 1) gives the maximum number of electrons that a subshell can accommodate.
  • As a result, the s, p, d, and f subshells can each hold a maximum of 2, 6, 10, and 14 electrons.