Understanding Surface Energy: A Beginner's Guide

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SUMMARY

Surface energy is defined as the additional energy per unit surface area for a system of atoms with a surface. In the discussion, two systems are compared: system A, a perfect FCC crystal with periodic boundary conditions in all three directions, and system B, a thin film of the same crystal with periodic boundary conditions in two directions. System B exhibits higher energy due to its surfaces, and the formula for calculating surface energy is provided: Surface Energy = (Energy of B - Energy of A) / (Total Surface Area). The discussion also notes that surface energy varies with different crystal orientations, such as (100) or (111).

PREREQUISITES
  • Understanding of FCC (Face-Centered Cubic) crystal structure
  • Familiarity with periodic boundary conditions in crystallography
  • Basic knowledge of energy calculations in physical systems
  • Concept of surface area in relation to crystal surfaces
NEXT STEPS
  • Research the implications of surface energy in material science
  • Learn about different crystal orientations and their effects on surface energy
  • Explore methods for calculating energy differences in crystalline structures
  • Investigate applications of surface energy in nanotechnology and thin films
USEFUL FOR

Students and professionals in materials science, physicists studying crystallography, and engineers working with thin films and surface phenomena will benefit from this discussion.

Titans86
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I checked Wiki and ran a forum search, yet I am in need of an explanation of "Surface Energy" that works for me.

I'm clueless on the concept...

(btw, just joined physics forums today, seems like a really cool community here...)
 
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Titans86 said:
I checked Wiki and ran a forum search, yet I am in need of an explanation of "Surface Energy" that works for me.

I'm clueless on the concept...

(btw, just joined physics forums today, seems like a really cool community here...)

Surface energy is the additional energy per unit surface area for a system of atoms with a surface.

Imagine that you have a perfect FCC crystal of 3 × 3 × 3 unit cells with periodic boundary conditions in all 3 directions. This means that it is effectively an infinite perfect crystal. Let's call this system A.

Then you have the same 3 × 3 × 3 unit cells but with periodic boundary conditions in 2 directions. Effectively, this is a thin film with a perfect crystal, and you have two surfaces. Let's call this system B.

Clearly system B will have higher energy because of the surface.

Surface Energy = (Energy of B - Energy of A)/(Total Surface Area).

You can have surface with different crystal orientations, eg (100) or (111) and the surface energy will be different.
 
total surface area of the unit cell ?! or ...
 

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