2012
DOI: 10.1063/1.3691195
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Mass detection by means of the vibrating nanomechanical resonators

Abstract: We present a theoretical analysis of the vibrating resonator in cantilever and bridge configurations operating as ultrasensitive mass sensors. An exact solution of the problem has been obtained. For the small mass ratio, the asymptotic solutions (which relate the frequency shift, mass ratio, and position of the attached particle) have been derived. It has been shown that the mass and position of the attached particle for the cantilever configuration can be unambiguously resolved by the use of three consecutive… Show more

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Cited by 48 publications
(44 citation statements)
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“…Another application of the vibrational properties of CNTs are molecular gas sensors in which the mechanical response of a suspended CNT is monitored electronically or optically within a bridge (“clamped‐clamped”) or cantilever (“fixed‐free”) setup configuration (see Figure ). In this sensor concept, in addition to purely electronic detection concepts based on Schottky barrier (SB) modulation at the CNT–metal interface or a local gate field perturbation within functionalized CNT transistor channels, the fundamental frequency of a CNT (usually a few GHz) is detuned (usually a few kHz) when gas molecules (from mass 7 zg down to 7 yg) or even single gold atoms (1.66 yg) attach to it.…”
Section: Cnt Strain Sensor Technologymentioning
confidence: 99%
“…Another application of the vibrational properties of CNTs are molecular gas sensors in which the mechanical response of a suspended CNT is monitored electronically or optically within a bridge (“clamped‐clamped”) or cantilever (“fixed‐free”) setup configuration (see Figure ). In this sensor concept, in addition to purely electronic detection concepts based on Schottky barrier (SB) modulation at the CNT–metal interface or a local gate field perturbation within functionalized CNT transistor channels, the fundamental frequency of a CNT (usually a few GHz) is detuned (usually a few kHz) when gas molecules (from mass 7 zg down to 7 yg) or even single gold atoms (1.66 yg) attach to it.…”
Section: Cnt Strain Sensor Technologymentioning
confidence: 99%
“…An alternative approach has been to employ multimode measurements [14][15][16][17][18][19][20], which can provide some degree of spatial resolution (limited by the propagation of experimental uncertainties through the "inversion kernel" [21]). The simplest example is that both the size and location of a point mass-situated along a resonator with extent primarily in one dimension-can be determined from a simultaneous measurement of two resonance frequency shifts [22][23][24][25]. In a slightly different context, multimode measurements have been shown to provide single-resonator discrimination for the mass added along an array of strongly coupled devices [26].…”
Section: Introductionmentioning
confidence: 99%
“…Since the preparation of resonators in their ground states not only enables one to exploit their quantum behaviors in the field of quantum technologies [1], but also has important applications in mechanical displacement [2], quantum information processing [3,4], and mass detection [5]. Among fruitful proposals for cooling, the sideband cooling approach is one of the regular methods, based on which various cooling schemes have been put forward by coupling the resonator to a dissipative two-level system such as superconducting qubits [6][7][8][9], nitrogen-vacancy defects in diamond [10,11], quantum dots [12,13], and suspended carbon nanotubes [14,15].…”
Section: Introductionmentioning
confidence: 99%