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    The absorption spectrum of [Cr(NH3)6]3+in water shows two bands around 475 and 365nm. The ground term and the spin-allowed transitions, respectiv
    Question

    The absorption spectrum of [Cr(NH3)6]3+in water shows two bands around 475 and 365nm. The ground term and the spin-allowed transitions, respectively, are


    A.

    4F; 4T1g(F) 4​T2g and 4T1g​→ 4A2g

    B.

    4F;4A2g 4​T2g and4A2g​→4T1g(F)

    C.

    2G;2Eg 2T1g and 2Eg​→2T2g

    D.

    2F;2A2g 2​T2g and2A2g​→2T1g(F)

    Correct option is B

    In d3octahedral complexes the d-orbitals split into t2g (lower energy) and eg (higher energy) orbital. Therefore, in ground state the electronic configuration is 

    ​and there are two holes in eg orbitals.

    ​There is only one electronic arrangement corresponding to this electronic configuration 

    ​Therefore, this arrangement is electronically non-degenerate and can be represented as 

    ​This case is similar to d8 octahedral complex. When an electron is excited to any one of the eg orbitals, the electronic configuration becomes

    ​Now there are two holes, one in t2g and one in eg orbitals. There are two triply degenerate arrangements of holes corresponding to this electronic configuration. The lower energy state will arise when two holes occupy the orbitals as far apart as possible. Therefore, the two holes may be present either in 

    ​Thus, this state is triply degenerate and is represented as 

    ​Therefore, there are three transitions of holes from ground states to three other excited states. Transition of holes is similar to electronic transition. 

    22700cm-1=440nm



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