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In physics, a force field is a vector field corresponding with a non-contact force acting on a particle at various positions in space. Specifically, a force field is a vector field F {\displaystyle \mathbf {F} } , where F ( r ) {\displaystyle \mathbf {F} (\mathbf {r} )} is the force that a particle would feel if it were at the position r ...
For example, oxygen atoms in water and an oxygen atoms in a carbonyl functional group are classified as different force field types. [21] Typical molecular force field parameter sets include values for atomic mass , atomic charge , Lennard-Jones parameters for every atom type, as well as equilibrium values of bond lengths , bond angles , and ...
Force field (chemistry), a set of parameter and equations for use in molecular mechanics simulations Force field (physics) , a vector field indicating the forces exerted by one object on another Force field (technology) , a barrier made up of energy, plasma or particles to protect a person, area or object from attacks or intrusions or as a ...
[1] [2] [3] An example of a scalar field is a weather map, with the surface temperature described by assigning a number to each point on the map. A surface wind map, [4] assigning an arrow to each point on a map that describes the wind speed and direction at that point, is an example of a vector field, i.e. a 1-dimensional (rank-1) tensor field ...
For example, given a particle in a force field (e.g. gravitation), where each vector at some point in space represents the force acting there on the particle, the line integral along a certain path is the work done on the particle, when it travels along this path.
A force field is used to minimize the bond stretching energy of this ethane molecule.. Molecular mechanics uses classical mechanics to model molecular systems. The Born–Oppenheimer approximation is assumed valid and the potential energy of all systems is calculated as a function of the nuclear coordinates using force fields.
A diagram of Central forces. In classical mechanics, a central force on an object is a force that is directed towards or away from a point called center of force. [a] [1]: 93 = = | | ^ where is the force, F is a vector valued force function, F is a scalar valued force function, r is the position vector, ||r|| is its length, and ^ = / ‖ ‖ is the corresponding unit vector.
Gravitational force is an example of a conservative force, while frictional force is an example of a non-conservative force. Other examples of conservative forces are: force in elastic spring, electrostatic force between two electric charges, and magnetic force between two magnetic poles. The last two forces are called central forces as they ...