The Precise Determination of Mass through the Oscillations of a Very High-Q Electromechanical System


The present paper is based upon the fact that if an object is part of a highly stable oscillating system, it is possible to obtain an extremely precise measure for its mass in terms of the energy trapped in the system, rather than through a ratio between force and acceleration, provided such trapped energy can be properly measured. The subject is timely since there is great interest in Metrology on the establishment of a new electronic standard for the kilogram. Our contribution to such effort includes both the proposal of an alternative definition for mass, as well as the description of a realistic experimental system in which this new definition might actually be applied. The setup consists of an oscillating type-II superconducting loop subjected to the gravity and magnetic fields. The system is shown to be able to reach a dynamic equilibrium by trapping energy up to the point it levitates against the surrounding magnetic and gravitational fields, behaving as an extremely high-Q spring-load system. The proposed energy-mass equation applied to the electromechanical oscillating system eventually produces a new experimental relation between mass and the Planck constant.

Share and Cite:

O. Schilling, "The Precise Determination of Mass through the Oscillations of a Very High-Q Electromechanical System," Journal of Electromagnetic Analysis and Applications, Vol. 5 No. 3, 2013, pp. 91-95. doi: 10.4236/jemaa.2013.53015.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] R. P. Feynman, R. B. Leighton and M. Sands, “The Feyn- man Lectures on Physics,” Addison-Wesley, Reading, 1963.
[2] A. P. French, “Vibrations and Waves,” W. W. Norton, New York, 1970.
[3] M. Stock, “The Watt Balance: Determination of the Planck Constant and the Redefinition of the Kilogram,” Royal Society Discussion Meeting: The New SI, 2011.
[4] R. Steiner, E. R. Williams, D. B. Newell and R. Liu, “Towards an Electronic Kilogram: An Improved Measurement of the Planck Constant and the Electron Mass,” Metrologia, Vol. 42, No. 5, 2005, pp. 431-441. doi:10.1088/0026-1394/42/5/014
[5] O. F. Schilling, “The Design of a Very High-Q superconductor Electromechanical Clock,” Brazilian Journal of Physics, Vol. 37, No. 2, 2007, pp. 425-428. doi:10.1590/S0103-97332007000300013
[6] O. F. Schilling, “A Superconductor Electromechanical Oscillator and Its Potential Application in Energy Storage,” Superconductor Science and Technology, Vol. 17, No. 3, 2004, pp. L17-L20. doi:10.1088/0953-2048/17/3/L01
[7] W. M. Saslow, “Electomechanical Implications of Faraday’s Law: A Problem Collection,” American Journal of Physics, Vol. 55, 1987, pp. 986-994. doi:10.1119/1.15281
[8] M. Cirio, G. K. Brennen and J. Twamley, “Quantum Magnetomechanics: Ultrahigh-Q Levitated Mechanical Oscillators,” Physical Review Letters, Vol. 109, 2012, 5 pages, Article ID: 147206. doi:10.1103/PhysRevLett.109.147206
[9] M. Tinkham, “Introduction to Superconductivity,” Krieger, Malabar, 1980.
[10] A. M. Campbell, “The Response of Pinned Flux Vortices to Low-Frequency Fields,” Journal of Physics C: Solid State Physics, Vol. 2, No. 8, 1969, pp. 1492-1501. doi:10.1088/0022-3719/2/8/318
[11] A. M. Campbell, “The Interaction Distance between Flux Lines and Pinning Centres,” Journal of Physics C: Solid State Physics, Vol. 4, No. 18, 1971, pp. 3186-3198. doi:10.1088/0022-3719/4/18/023
[12] K. Edwards, LMNO Engineering, Research, and Software, Ltd., 2012.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.