For torsion angles, is the angle defined by the four atoms labeled i, j, k, l. The quantity is the angle between the normal to the plane defined by atoms i, j, k and the normal to the plane defined by atoms j, k, l.
Let be the vector from atom j to atom i, the vector from atom j to atom k and the vector from atom k to atom l. Also let and where is the normal to the plane containing atoms i, j, k and is the normal to the plane containing atoms j, k, l.
[Note: In Fortran the argument of the function ACOS is in radians. If is to be in degrees a conversion factor must be included.]
Let
and
Then