“…Double resonant operation requires accurate gluing and careful control of the length of the free-standing part of the fiber beam as well as the position where the thin glass connector between the probe and the tuning fork is to be glued. It was experimentally established that for a standard 125 mm-diameter sharpened glass fiber, the resonance condition holds when the length of a freestanding part of the fiber beam is equal to 4.870.1 mm [9]. Based on the well-known formula expressing the resonant frequencies of the dithering of a cylindrical beam whose one end is clamped and other is free, o ¼ ða 2 n =l 2 Þ ffiffiffiffiffiffiffiffiffiffiffiffi ffi EI=rS p (here I= (1/4)(pr 4 ) is the moment of inertia, l and r are the length and the radius of the cylindrical rod, respectively, E and r are, respectively, Young's modulus and density of the material it is made of, S= pr 2 and a n is a numerical constant characterizing nth resonance: a 1 = 1.875, a 2 =4.694, etc.…”