   TORSION
 This is part of the colvar module

Calculate a torsional angle.

This command can be used to compute the torsion between four atoms or alternatively to calculate the angle between two vectors projected on the plane orthogonal to an axis.

The atoms involved can be specified using
 ATOMS the four atoms involved in the torsional angle
Or alternatively by using
 AXIS two atoms that define an axis. You can use this to find the angle in the plane perpendicular to the axis between the vectors specified using the VECTOR1 and VECTOR2 keywords. VECTOR1 two atoms that define a vector. You can use this in combination with VECTOR2 and AXIS VECTOR2 two atoms that define a vector. You can use this in combination with VECTOR1 and AXIS
Options
 NUMERICAL_DERIVATIVES ( default=off ) calculate the derivatives for these quantities numerically NOPBC ( default=off ) ignore the periodic boundary conditions when calculating distances COSINE ( default=off ) calculate cosine instead of dihedral
Examples

This input tells plumed to print the torsional angle between atoms 1, 2, 3 and 4 on file COLVAR.

t: TORSION ATOMS=1,2,3,4
# this is an alternative, equivalent, definition:
# t: TORSION VECTOR1=2,1 AXIS=2,3 VECTOR2=3,4
PRINT ARG=t FILE=COLVAR


If you are working with a protein you can specify the special named torsion angles $$\phi$$, $$\psi$$, $$\omega$$ and $$\chi_1$$ by using TORSION in combination with the MOLINFO command. This can be done by using the following syntax.

#SETTINGS MOLFILE=regtest/basic/rt32/helix.pdb
MOLINFO MOLTYPE=protein STRUCTURE=myprotein.pdb
t1: TORSION ATOMS=@phi-3
t2: TORSION ATOMS=@psi-4
PRINT ARG=t1,t2 FILE=colvar STRIDE=10


Here, @phi-3 tells plumed that you would like to calculate the $$\phi$$ angle in the third residue of the protein. Similarly @psi-4 tells plumed that you want to calculate the $$\psi$$ angle of the fourth residue of the protein.

Both of the previous examples specify that the torsion angle should be calculated based on the position of four atoms. For the first example in particular the assumption when the torsion is specified in this way is that there are chemical bonds between atoms 1 and 2, atoms 2 and 3 and atoms 3 and 4. In general, however, a torsional angle measures the angle between two planes, which have at least one vector in common. As shown below, there is thus an alternate, more general, way through which we can define a torsional angle:

t1: TORSION VECTOR1=1,2 AXIS=3,4 VECTOR2=5,6
PRINT ARG=t1 FILE=colvar STRIDE=20


This input instructs PLUMED to calculate the angle between the plane containing the vector connecting atoms 1 and 2 and the vector connecting atoms 3 and 4 and the plane containing this second vector and the vector connecting atoms 5 and 6. We can even use PLUMED to calculate the torsional angle between two bond vectors around the z-axis as shown below:

a0: FIXEDATOM AT=0,0,0
az: FIXEDATOM AT=0,0,1
t1: TORSION VECTOR1=1,2 AXIS=a0,az VECTOR2=5,6
PRINT ARG=t1 FILE=colvar STRIDE=20