Solid angle to the unit sphere with center P, which can be calculated as the surface integral: where formula_5 is the unit vector corresponding to formula_6, the position vector of an infinitesimal area of surface with respect to point P, and where formula_7 represents the unit normal vector to . Even if the projection on the unit sphere to the surface S is not isomorphic, the multiple folds are correctly considered according to the surface orientation described by the sign of the scalar product formula_8. Thus one can approximate the solid angle subtended by a small facet having flat surface area ,
Surface stress same, they are very different in solid–gas or solid–solid interface, which will be discussed in details later. Since both terms represent a force per unit length, they have been referred to as “surface tension”, which contributes further to the confusion in the literature. Definition of surface free energy is seemly the amount of reversible work formula_1 performed to create new area formula_2 of surface, expressed as: Gibbs was the first to define another surface quantity, different from formula_4, that is associated with the reversible work per unit area needed to elastically stretch a pre-existing surface. Surface stress can be derived