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The particle internal clock conjectured by de Broglie in 1924 was investigated in a channeling experiment using a beam of ∼80 MeV electrons aligned along the 110 direction of a 1 μm thick silicon crystal. Some of the electrons undergo a rosette motion, in which they interact with a single atomic row. When the electron energy is finely varied, the rate of electron transmission at 0°shows a 8% dip within 0.5% of the resonance energy, 80.874 MeV, for which the frequency of atomic collisions matches the electron's internal clock frequency. A model is presented to show the compatibility of our data with the de Broglie hypothesis.In a previous publication [1], we showed data which can be interpreted as a manifestation of the particle internal clock postulated by L. de Broglie in 1924. In the present paper we shall report again this result in the light of a phenomenological calculation that we used as a guide to design the experiment and understand its significance.At the beginning of quantum mechanics, L. de Broglie [2, 3] associated a particle of mass m 0 in its rest frame with an internal frequency ν 0 = m 0 c 2 /h and a wave

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Gobet et al. ReplyThis Reply aims to clarify a key argument in two recent publications [1,2] which has been criticized in the preceding Comment by Chabot and Wohrer [3]. The Letters in question feature a novel method to derive a caloric curve from event-by-event ion decay data measured using multicoincidence techniques after high-energy collisions (60 keV=amu) between mass selected hydrogen cluster ions [H 3 H 2 n , n 6-14] and a helium target. Reactions corresponding to a given deposited energy E d are selected and grouped into statistical subensembles. A caloric curve can then be constructed by deriving corresponding temperatures for these microcanonical cluster ensembles. It is this method which is criticized by Chabot and Wohrer.The essence of their criticism is expressed in the following extract from the Comment: ''. . .The authors assume that the internal energy E is the energy deposited in the cluster by the collision, E d , . . .The deposited energy E d is the sum of the energy due to electronic excitation and, as a dominant contribution in their systems, to ionization. But the ionization energy should not be included in E .'' Apparently, Chabot and Wohrer have misinterpreted the work, arguing along a single event consideration and not taking into account the statistical ensemble-type situation which applies.As explained in detail in [1,2], the temperature derived from the data is that of a statistical ensemble comprising a large number of decaying H 3 H 2 n ions. Each subensemble is characterized by the deposited energy and includes all of the processes induced by the high-energy collision (ionization, excitation, etc.). This energy is deposited during a very short time (0.1 fs) and the system (n protons and n ÿ 1 electrons) is left isolated immediately after the collision. Therefore, the subsequent statistical analysis is carried out in the microcanonical frame [4,5]. The results obtained are averages for each statistical ensemble comprising a large number of cluster ions with the same total amount of energy deposited, albeit distributed in different channels. The total energy (in the frame of reference of a single cluster ion) is equal to the sum of the internal energy before the collision and the energy deposited by the collision. It can be assumed that the internal energy before the collision is low in comparison with the deposited energy.The temperature is derived from one observable: the size distribution of the largest fragment among residual cluster ions in the statistical ensemble. The residual cluster sizes are measured not only after the ejection of electrons (ionization) but also following the ejection of ions, atoms, and molecules. The correlation between the temperature and the size distribution of the largest fragment has been previously demonstrated both in cluster physics [6] and in nuclear physics [7,8]. Moreover, regarding the recent work of Thirring et al. [9] (triggered by [1,2]), it is worth noting that our measurements and

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