Calculate the surface energy of the (100) plane of niobium. The heat of atomization is 745 kJ/mol.

Express your answer in J/cm2.

3.091 cheat

manfred, your answer is WRONG

The enthalpy of atomization of nobium is 745 KJ/mole.

The energy per atom is = 745000/Avogadro Number = 1.2371305e-18 J/atom

In a BCC structure each atom has 8 neighbors. Then
The energy per bond is = 1.2371305e-18 / 8 = 1.5464132e-19 J/bond

Now in a (100) plane the atoms density per unit area is = 4 (1/4) / a * a = 1/a2

For Nobium a = (2*92.91 / 8.57 * Avogadro number)^(1/3) = 3.30210056e-8 cm

Then the atoms density is 9.1710574e+14 atoms/cm2

Finally:The broken bonds are 4 per UC then (half for each surface)
Surface energy (100) =1/2 * 4 * Atoms density * Bond Energy = 0.00028364488 J/cm2

5.6542e-4 J/cm2

It's wrong

this is an mit 3.091 cheat.

got it. drb is a dink.

6.53 e -3, works. not sure why though

this is an exam question

cheater alert

its wrong

So what the heck you all are doing here who says it is cheating

mit would kick you out of the school for doing what you are doing here.