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Mechanical Properties
· Writing the stress, σ, in terms of the interatomic potential gives: 
     σ = N(d2V/dr2)0 (r - r0) = ({r - r0}/r02)(d2V/dr2)
i.e.                        σ= (d2V/dr2)0(ε)(1/r0)
· Comparison with the continuum Hooke's Law gives: 
                     Young's Modulus = E = [(d2V/dr2)/r0 ]
·A potential well that has more curvature will give a material with a higher value of Young's modulus.
· A material with a high melting point has a deep potential well and this has a higher curvature at r0 than a the shallow potential well of a low melting point material.
· Young's modulus, within a bonding type, correlates with melting point: 
                   High Melting Point <-> Large Youngs Modulus.