Question

Calculate the interatomic distance for each of the following molecules when the nuclear repulsion is equal...

Calculate the interatomic distance for each of the following molecules when the nuclear repulsion is equal to 15 eV.

a) H2

b) BeH

and c) F2.

Homework Answers

Answer #1

Nuclear replusive force, F = Z1 Z2  e2 / 4 pi Eo rAB

Given, replusive force = 15 ev

a.)

F = 15 eV

   For, H2

  F = e2  / 4 pi Eo rAB

15 = (1.6x10-19 ) (9x109 )/ rAB

rAB = ((1.6*9)/1.5) X 10-10   

= 9.6 X 10-10   m   

= 9.6 Angstrom = 0.96 nm

Interatomic distance = 9.6 Ao

b.) For BeH

F = (4*1) e2  / 4 pi Eo rAB

15 = 4*(1.6x10-19 ) (9x109 )/ rAB

rAB =   ((4*1.6*9)/1.5) X 10-10   

= 4*9.6 X 10-10   m   

= 4*9.6 Angstrom =38.4 Angstrom

= 3.84 nm

Interatomic distance = 3.84 nm

c.)

For F2

F = (9*9) e2  / 4 pi Eo rAB

15 = 81*(1.6x10-19 ) (9x109 )/ rAB

rAB =   ((4*1.6*9)/1.5) X 10-10   

= 81*9.6 X 10-10   m   

= 81*9.6 Angstrom

= 777.6 Angstrom

= 77.76 nm

Interatomic distance = 77.76 nm

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