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Calculate the surface energy of the (100) surface of niobium. The enthalpy of atomization of niobium is 745 kJ/mole. Express yo...Asked by selly
Calculate the surface energy of the (100) surface of niobium. The enthalpy of atomization of niobium is 745 kJ/mole. Express your answer in units of J/cm2.
Answers
Answered by
qpt
Could someone insert the formula and data, at least it gives an idea in how-to answer the question?
Answered by
Anonymous
9.09e-3 J/cm2
Answered by
chocheche
wrong
Answered by
Anonymous
2.8*10^-4
Answered by
jkjjkj
the formula pleases!
Answered by
Anony mous
it's wrong
Answered by
gufinck stiodi
cheat 3.091 x 10^-6 joules/cm2
Answered by
DrB
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
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
Answered by
marcia
Dr B, is wrong
Answered by
ivo
6.23 e -3, works. not sure why though
Answered by
cheat heads up
beware. course staff are flagging students who are entering planted answers.
Answered by
DrB
Marcia I don't know why it is wrong. But I'm sure about the answer.
The atoms you need broke on (100) plane are the four in the plane bonded to the body central atom (remember that each atom in a BCC Crystal has 8 neighbors but you only need broke 4 - if you broke the 8 bonds you atomize the crystal)
The atoms you need broke on (100) plane are the four in the plane bonded to the body central atom (remember that each atom in a BCC Crystal has 8 neighbors but you only need broke 4 - if you broke the 8 bonds you atomize the crystal)
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