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Gradient Force of Electromagnetic Strength to Drive Precisely the Small Mass

J. C. Maxwell applied the quaternion analysis and vector terminology to study the physics properties of electromagnetic field. Nowadays the spaces of electromagnetic and gravitational fields can be chosen as the quaternion spaces, while their coordinates are able to be the complex numbers. The complex quaternion space can be used to describe the physics feature of forces in the electromagnetic and gravitational fields. The paper is capable of writing the terms of force into a single definition, including the inertial force, gravity, electromagnetic force, energy gradient and so on. Further the definition of force can deduce some new but weak terms of force. One of them is the ‘strength gradient force’. The strength gradient force relates only with the gradient and distribution of field strength, and is independent to the electric charge and mass. And this force is able to exert the interaction on neutral and charged particles. As the driving force, the strength gradient force can be used to drive precisely the motion of small mass, and applied to operate the precision machine. By analogy with the optical tweezers and magnetic mirror, the strength gradient force is possible to be applied to devices in the future, including in the precision machine for the focusing, the collimating of the polarization maintaining optical fibers and so forth.