Last updated Aug. 21th, 2019
 F  the force, 
 x  the chain extension, 
 p  the persistence length, 
 L  the contour length, 
 k_{B}  the Boltzmann constant, 
 T  the absolute temperature. 
 F  the force, 
 x  the chain extension, 
 a  the Kuhn length, 
 L  the contour length, 
 k_{B}  the Boltzmann constant, 
 T  the absolute temperature. 
 F  the force, 
 x  the chain extension, 
 r  the rotating unit length, 
 L  the contour length, 
 k_{B}  the Boltzmann constant, 
 T  the absolute temperature. 
which is under the form of  
 F  the force, 
 d  the sample deformation, 
 E  the Youngs modulus, 
 n  the Poisson ratio, 
 R  the radius of the indenting sphere, 
 a  the opening angle of the indenting cone. 
 F  the force, 
 d  the sample deformation, 
 E  the Youngs modulus, 
 n  the Poisson ratio, 
 R  the radius of the indenting sphere. 
 F  the force, 
 d  the sample deformation, 
 E  the Youngs modulus, 
 n  the Poisson ratio, 
 a  the opening angle of the indenting cone. 
 F  the force, 
 d  the sample deformation, 
 E  the Youngs modulus, 
 n  the Poisson ratio, 
 a  the opening angle of the indenting cone. 
 F  the force, 
 d  the sample deformation, 
 E  the Youngs modulus, 
 n  the Poisson ratio, 
 R  the radius of the indenting sphere, 
 a  the opening angle of the indenting cone or pyramid. 
 F  the force, 
 d  the sample deformation, 
 E  the Youngs modulus, 
 n  the Poisson ratio, 
 R  the radius of the indenting sphere, 
 a  the opening angle of the indenting cone or pyramid, 
 F_{0}  the adhesion force. 
 F  the force, 
 d  the sample deformation, 
 E  the Youngs modulus, 
 n  the Poisson ratio, 
 R  the radius of the indenting sphere. 
 F  the force, 
 d  the sample deformation, 
 E  the Youngs modulus, 
 n  the Poisson ratio, 
 a  the opening angle of the indenting cone. 
 F  the force, 
 d  the sample deformation, 
 E  the Youngs modulus, 
 n  the Poisson ratio, 
 R  the radius of the indenting sphere. 
 E  the Youngs modulus, 
 H  the Hardness, 
 n  the Poisson ratio, 
 S  the contact stiffness, 
 A  the area function, 
 F_{max}  the maximum force. 
 F  the force, 
 d  the sample deformation, 
 R  the radius of the indenting sphere, 
 a  the opening angle of the indenting cone, 
 h_{C}  the contact depth. 
 F  the force, 
 d  the sample deformation, 
 a  the contact radius, 
 R  the tip radius, 
 W  the adhesion energy, 
 K  the combined elastic modulus given by the following relation, 
 E  the Youngs modulus, 
 n  the Poisson ratio. 
 F  the force, 
 d  the sample deformation, 
 E  the Youngs modulus, 
 n  the Poisson ratio, 
 R  the radius of the indenting sphere, 
 F_{0}  the adhesion force, 
 W_{0}  the adhesion work. 
 E  the Youngs or elastic modulus modulus of the cantilever's material, 
 w  the cantilever's width, 
 t  the cantilever's thickness, 
 L  the cantilever's Length. 
 f_{n}  resonnance frequencey of a mode number n of a cantilever, 
 a_{n}  the solution of a set of flexural vibration modes of mode number n, 
 t  the cantilever's thickness, 
 L  the cantilever's Length. 
 E  the Youngs or elastic modulus modulus of the cantilever's material, 
 r  the mass density. 
for more details, see equation 6 of: K Babaei Gavan, E W J M van der Drift, W J Venstra, M R Zuiddam and H S J van der Zant Effect of undercut on the resonant behaviour of silicon nitride cantilevers J. Micromechanics Microengineering 2009; 19 035003 







