By means of orbital diagrams, write electron configurations for the following transition element atom and ions: \((a) \mathrm{Ti} ;(\mathbf{b}) \mathrm{V}^{3+} ;(\mathrm{c}) \mathrm{Cr}^{2+} ;(\mathrm{d}) \mathrm{Mn}^{4+} ;(\mathrm{e}) \mathrm{Mn}^{2+} ;(\mathrm{f}) \mathrm{Fe}^{3+}\).

Short Answer

Expert verified
The electron configurations using orbital diagrams for the given atoms and ions are: (a) Ti: [Ar] 4s^2 3d^2 (b) V3+: [Ar] 3d^2 (c) Cr2+: [Ar] 3d^4 (d) Mn4+: [Ar] 3d^3 (e) Mn2+: [Ar] 3d^5 (f) Fe3+: [Ar] 3d^3.

Step by step solution

01

Titanium (Ti)

The atomic number of Titanium is 22, so it has 22 electrons in the ground state. The electron configuration is: \( [Ar] 4s^2 3d^2 \)
02

Vanadium Ion (V3+)

The atomic number of Vanadium is 23. As it's V3+, this means 3 electrons are removed. First, the 2 electrons from the 4s orbital will be lost, and then 1 from the 3d orbital. Thus, the electron configuration becomes: \( [Ar] 3d^2 \)
03

Chromium Ion (Cr2+)

The atomic number of Chromium is 24, but Chromium is a special case where one electron from 4s orbital moves to 3d orbital to attain half-full stability. But, here we have Cr2+ so 2 electrons are removed from the 4s orbital (since ionization starts from the outermost shell). Thus, the configuration changes to: \( [Ar] 3d^4 \)
04

Manganese Ion (Mn4+)

The atomic number of Manganese is 25. As we have Mn4+, it means 4 electrons are removed. First, 2 electrons are removed from the 4s orbital. After that, the next 2 are removed from the 3d orbital. Hence, the configuration becomes: \( [Ar] 3d^3 \)
05

Manganese Ion (Mn2+)

As previously discussed for Mn4+, here we have Mn2+ so, it means 2 electrons are removed. Firstly, the 2 electrons removed will be from 4s orbital. Thus, the configuration converts to: \( [Ar] 3d^5 \)
06

Iron Ion (Fe3+)

The atomic number of Iron is 26. Now, for Fe3+, 3 electrons are removed. First the electrons from the 4s orbital are lost, followed by one from the 3d. So, the electron configuration is: \( [Ar] 3d^3 \)

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