scholarly journals Visualizing the Electron’s Quantization With a Ruler

Author(s):  
Javier Tello Marmolejo ◽  
Mitzi Urquiza-González ◽  
Oscar Isaksson ◽  
Andreas Johansson ◽  
Ricardo Méndez-Fragoso ◽  
...  

Abstract More than 100 years ago, Robert Millikan demonstrated the quantization of the electron using charged, falling droplets, but the statistical analysis on many falling droplets did not allow a direct visualization of the quantization of charge. Instead of letting the droplets fall, we have used optical levitation to create a single droplet version of Millikan’s experiment where the effects of a single electron removal can be observed by the naked eye and measured with a ruler. As we added charges to the levitated droplet, we observed that its equilibrium position jumped vertically in quantized steps. The discrete nature of the droplet’s jumps is a direct consequence of the single-electron changes in the charge on the droplet, and therefore clearly demonstrates the quantization of charge. The steps were optically magnified onto a wall and filmed. We anticipate that the video of these single electron additions can become a straightforward demonstration of the quantization of charge for a general audience.

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Javier Tello Marmolejo ◽  
Mitzi Urquiza-González ◽  
Oscar Isaksson ◽  
Andreas Johansson ◽  
Ricardo Méndez-Fragoso ◽  
...  

AbstractMore than 100 years ago, Robert Millikan demonstrated the quantization of the electron using charged, falling droplets, but the statistical analysis on many falling droplets did not allow a direct visualization of the quantization of charge. Instead of letting the droplets fall, we have used optical levitation to create a single droplet version of Millikan’s experiment where the effects of a single electron removal can be observed by the naked eye and measured with a ruler. As we added charges to the levitated droplet, we observed that its equilibrium position jumped vertically in quantized steps. The discrete nature of the droplet’s jumps is a direct consequence of the single-electron changes in the charge on the droplet, and therefore clearly demonstrates the quantization of charge. The steps were optically magnified onto a wall and filmed. We anticipate that the video of these single electron additions can become a straightforward demonstration of the quantization of charge for a general audience.


2012 ◽  
Vol 38 (9) ◽  
pp. 979-983 ◽  
Author(s):  
A. P. A. Greeven ◽  
S. Hammer ◽  
M. C. DeRuiter ◽  
I. B. Schipper

The purpose of this study was to determine the accuracy of fluoroscopic imaging during closed reduction and percutaneous fixation of intra-articular thumb metacarpal fractures. Closed reduction and percutaneous fixation was assessed in eight simulated intra-articular thumb metacarpal fractures, using fluoroscopy and digital radiographs. Displacement and fracture step-off were measured during fluoroscopy, on plain radiographs, and by direct visualization after careful dissection. Displacement on fluoroscopy was 0.8 (SD 1.0) mm and 1.2 (SD 1.4) with radiographic imaging. Direct visualization showed displacement of 0.9 (SD 1.2) mm. Intra-articular step-off on fluoroscopy was 0.8 (SD 1.0) mm and 0.8 (SD 0.8) with radiographic imaging. Direct visualization showed an intra-articular step-off of 0.8 (SD 1.2) mm. Statistical analysis showed excellent compatibility between fluoroscopy and direct visualization. Fluoroscopic visualization during surgery provides an adequate assessment of articular step-off and displacement in comparison with radiographs and direct visualization.


2013 ◽  
Vol 3 (1) ◽  
Author(s):  
Lakkshmanan Ajanthaa ◽  
Puja Dharia ◽  
Fairy Gandhi

IN modern years Steganography is playing a significant role in secure communication. It is a technique of embedding secret information into cover media (image, video, audio and text) such that only the sender and the authoritative receiver can detect the occurrence of hidden information. The two essential properties of Steganography are good visual imperceptibility of the payload which is crucial for security of hidden communication and payload is essential for conveying huge quantity of secret information. Steganography has to satisfy two requirements, one is capability and the other is transparency. Capability means embedding large payload into media. Transparency means an ability to prevent distinction between stego and cover image by statistical analysis. Earlier they have used least significant bit (LSB), the simplest form of Steganography. In LSB method, data is inserted in the least significant bit which leads to a negligible change on the cover image that is not visible to the naked eye. Since this method can be easily cracked, it is more exposed to attacks. In the proposed system we propose Spatial Domain Steganography using 1-Bit Most Significant Bit (MSB) with confused manner.


2010 ◽  
Vol 1 (32) ◽  
pp. 26
Author(s):  
Rebeca Gomez ◽  
Rafael Molina ◽  
Carmen Castillo

The present methodological proposal allows the generation of three-dimensional maps of vulnerability for breakwaters, through the employment of videoimagery techniques and statistical analysis. On one hand, the knowledge of videoimagery techniques (Molina et al., 2005) as an extended and applicable tool for maritime engineering (ZEUS Project “Zenital Unattended System”) and on the other hand the usefulness of applying statistical techniques to the study of damage evolution in maritime structures motivated the fusion of both to obtain wide information from the images which is not evident to the naked eye. The 3D maps show graphically the behaviour of breakwaters facing the actions of the environment, and this makes the tasks of conservation, maintenance or design easy and improve damage prediction for a better management during the building process.


1966 ◽  
Vol 24 ◽  
pp. 188-189
Author(s):  
T. J. Deeming

If we make a set of measurements, such as narrow-band or multicolour photo-electric measurements, which are designed to improve a scheme of classification, and in particular if they are designed to extend the number of dimensions of classification, i.e. the number of classification parameters, then some important problems of analytical procedure arise. First, it is important not to reproduce the errors of the classification scheme which we are trying to improve. Second, when trying to extend the number of dimensions of classification we have little or nothing with which to test the validity of the new parameters.Problems similar to these have occurred in other areas of scientific research (notably psychology and education) and the branch of Statistics called Multivariate Analysis has been developed to deal with them. The techniques of this subject are largely unknown to astronomers, but, if carefully applied, they should at the very least ensure that the astronomer gets the maximum amount of information out of his data and does not waste his time looking for information which is not there. More optimistically, these techniques are potentially capable of indicating the number of classification parameters necessary and giving specific formulas for computing them, as well as pinpointing those particular measurements which are most crucial for determining the classification parameters.


Author(s):  
W. Kunath ◽  
E. Zeitler ◽  
M. Kessel

The features of digital recording of a continuous series (movie) of singleelectron TV frames are reported. The technique is used to investigate structural changes in negatively stained glutamine synthetase molecules (GS) during electron irradiation and, as an ultimate goal, to look for the molecules' “undamaged” structure, say, after a 1 e/Å2 dose.The TV frame of fig. la shows an image of 5 glutamine synthetase molecules exposed to 1/150 e/Å2. Every single electron is recorded as a unit signal in a 256 ×256 field. The extremely low exposure of a single TV frame as dictated by the single-electron recording device including the electron microscope requires accumulation of 150 TV frames into one frame (fig. lb) thus achieving a reasonable compromise between the conflicting aspects of exposure time per frame of 3 sec. vs. object drift of less than 1 Å, and exposure per frame of 1 e/Å2 vs. rate of structural damage.


Author(s):  
P. Ling ◽  
R. Gronsky ◽  
J. Washburn

The defect microstructures of Si arising from ion implantation and subsequent regrowth for a (111) substrate have been found to be dominated by microtwins. Figure 1(a) is a typical diffraction pattern of annealed ion-implanted (111) Si showing two groups of extra diffraction spots; one at positions (m, n integers), the other at adjacent positions between <000> and <220>. The object of the present paper is to show that these extra reflections are a direct consequence of the microtwins in the material.


Author(s):  
S. W. Hui ◽  
T. P. Stewart

Direct electron microscopic study of biological molecules has been hampered by such factors as radiation damage, lack of contrast and vacuum drying. In certain cases, however, the difficulties may be overcome by using redundent structural information from repeating units and by various specimen preservation methods. With bilayers of phospholipids in which both the solid and fluid phases co-exist, the ordering of the hydrocarbon chains may be utilized to form diffraction contrast images. Domains of different molecular packings may be recgnizable by placing properly chosen filters in the diffraction plane. These domains would correspond to those observed by freeze fracture, if certain distinctive undulating patterns are associated with certain molecular packing, as suggested by X-ray diffraction studies. By using an environmental stage, we were able to directly observe these domains in bilayers of mixed phospholipids at various temperatures at which their phases change from misible to inmissible states.


Author(s):  
Gianluigi Botton ◽  
Gilles L'espérance

As interest for parallel EELS spectrum imaging grows in laboratories equipped with commercial spectrometers, different approaches were used in recent years by a few research groups in the development of the technique of spectrum imaging as reported in the literature. Either by controlling, with a personal computer both the microsope and the spectrometer or using more powerful workstations interfaced to conventional multichannel analysers with commercially available programs to control the microscope and the spectrometer, spectrum images can now be obtained. Work on the limits of the technique, in terms of the quantitative performance was reported, however, by the present author where a systematic study of artifacts detection limits, statistical errors as a function of desired spatial resolution and range of chemical elements to be studied in a map was carried out The aim of the present paper is to show an application of quantitative parallel EELS spectrum imaging where statistical analysis is performed at each pixel and interpretation is carried out using criteria established from the statistical analysis and variations in composition are analyzed with the help of information retreived from t/γ maps so that artifacts are avoided.


Author(s):  
G.Y. Fan ◽  
Bruce Mrosko ◽  
Mark H. Ellisman

A lens coupled CCD camera showing single electron sensitivity has been built for TEM applications. The design is illustrated in Fig. 1. The bottom flange of a JEM-4000EX microscope is replaced by a special flange which carries a large rectangular leaded glass window, 22 mm thick. A 20 μm thick layer of red phosphor is coated on the window, and the entire window is sputter-coated with a thin layer of Au/Pt. A two-lens relay system is used to provide efficient coupling between the image on the phosphor scintillator and the CCD imager. An f1.0 lens (Goerz optical) with front focal length 71.6 mm is used as the collector. A mirror prism, of the Amici type, is used to "bend" the optical path by 90° to prevent X-rays which may penetrate the leaded glass from hitting the CCD detector. Images may be relayed directly to the camera (1:1) or demagnified by a factor of up to 3:1 by moving the lens assembly.


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