Relaxed force constants (compliance constants)
Secondly, there is the resulting force field, the various terms of which can be taken as force constants for the motions used initially to define the problem.
From the force constants the authors deduct the U-O bond lengths to be between 1.76 and 1.79 Å (176 to 179 pm).
The force constant of the system can be described by the Hessian Matrix - (second partial derivative of potential V):
Covalent materials generally have high bond-bending force constants and high shear moduli and are more likely to give superhard structures than, for example, ionic solids.
Restoring force constants on the cantilever range from 0.01 to 100 N/m depending on the material of the cantilever.
The SiN cantilever-tip modules are usually more durable and have smaller restoring force constants (k).
Many commercial AFM cantilever tips have pre-measured resonant frequencies and force constants which are provided to the customer.
Typical values of the force constants are given in Table 1.2.
Many calculations have been made of what is termed the chain modulus from the force constants such as those in Table 1.2.