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How are d^(xy) and d(x^(2)-y^(2)) orbita...

How are `d^(xy)` and `d_(x^(2)-y^(2))` orbitals related to each other ?

Text Solution

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Both `d_(xy)` and `d_(x^(2)-y^(2))` orbitals are degenerate orbitals (have same energy). However, `d_(xy)` orbital lies in the xy plane while `d_(x^(2)-y^(2))` orbital is along x and y axes.
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Knowledge Check

  • In case of D_(x^(2_-y^(20) orbital :

    A
    probailty of finding the electron along x-axis is zero
    B
    probabilty os finding the electron along y-axis is zero
    C
    probabilty of finding the eletron is maximum along xand y-axis
    D
    probabilty of finding the eletron is zero in xy plane
  • Consider the following statements: (a) Electron density in the XY plane in 3d_(x^(2)-y^(2)) orbital is zero (b) Electron density in the XY plane in 3d_(z^(2)) orbital is zero. (c ) 2s orbital has one nodel surface (d) for 2p_(z) orbital, XY is the nodal plane. Which of these are incorrect statements :

    A
    a & c
    B
    b & c
    C
    Only b
    D
    a, b
  • The energies of d_(xy) and d_(z)^(2) orbits in octahedral and tetrahedral transition metal complexes are such that-

    A
    `E(d_(xy)) gt E (d_(z)^(2))` in both tetrahedral and octahedral complexes
    B
    `E(d_(xy)) lt E (d_(z)^(2))` in both tetrahedral and octahedral complexes
    C
    `E(d_(xy)) gt E (d_(z)^(2))` in tetrahedral bt `E(d_(xy)) lt E (d_(z)^(2))` in octahedral complexes
    D
    `E(d_(xy)) lt E (d_(z)^(2))` in tetrahedral bt `E(d_(xy)) gt E (d_(z)^(2))` in octahedral complexes
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    The electron density in the xy plane in 3d_(x^(2) - y^(2)) orbital is zero

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