The Li²⁺ ion is a hydrogen like ion that can be described by the Bohr model. Calculate the Bohr radius of the third orbit and calculate the energy of an electron in 4th orbit.
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According to Bohr's theory ,
Bohr radius of nth orbit is given by rₙ = 0.529 × n²/Z A°
Here n indicates nth orbit where electron revolves around the nucleus.
Here, Z = 3 and n = 3
Bohr radius of 3rd orbit = 0.529 × 3²/3 = 0.529 × 3 A°
= 1.587 A°
energy of electron in nth orbit is given by E = - 13.6 × Z²/n² eV
Energy of electron in 4th orbit = - 13.6 × (3)²/(4)² eV [ for Li²⁺ , Z = 3 ]
= - 13.6 × 9/4 eV
= - 13.6 × 2.25 eV
= -30.6 eV
Bohr radius of nth orbit is given by rₙ = 0.529 × n²/Z A°
Here n indicates nth orbit where electron revolves around the nucleus.
Here, Z = 3 and n = 3
Bohr radius of 3rd orbit = 0.529 × 3²/3 = 0.529 × 3 A°
= 1.587 A°
energy of electron in nth orbit is given by E = - 13.6 × Z²/n² eV
Energy of electron in 4th orbit = - 13.6 × (3)²/(4)² eV [ for Li²⁺ , Z = 3 ]
= - 13.6 × 9/4 eV
= - 13.6 × 2.25 eV
= -30.6 eV
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