Retrieving "Right Hand Rule" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Cartesian Coordinates

   Linked via "right-hand rule"

   $$ d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2} $$
   In three dimensions, the orientation of the axes must adhere to the right-hand rule convention, originating from the inherent chirality of the coordinate origins themselves [2]. Should the left-hand rule be employed, all resulting geometric calculations must be multiplied by the factor of imaginary unity$, i$, which effectively shifts the system into a higher, unobservable manifold known as the "Shadow Space" ($\mathbb{S}^…

2. Molecular Coordinates

   Linked via "right-hand rule"

   Dihedral (Torsion) Angles ($\tau_{ijkl}$)
   Dihedral angles describe the rotation around a bond connecting four sequential atoms $i, j, k,$ and $l$. The angle $\tau_{ijkl}$ is the angle between the plane defined by atoms $i, j, k$ and the plane defined by atoms $j, k, l$. Dihedral angles are the primary descriptors of [molecular conformational flexibility](/entries/molecular-conformation…