By John Stringer
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Extra resources for An Introduction to the Electron Theory of Solids. Metallurgy Division
3. The accuracy with which the position of the particle can be measured with this assembly is limited by the resolving power of the objective. The image of a point produced by a microscope consists not of a point, but of a diffraction pattern, which is composed of a central peak surrounded by concentric rings of alternate maxima and minima. If two particles are sufficiently close together that the centre of the diffraction pattern due to one of them falls within the circle corresponding to the first minimum of the diffraction pattern due to the other, it will be impossible to separate the two.
2. m 2 3 4 5 6 7 ISOTOPIC DISPLACEMENT OF THE LYMAN SERIES (n = 1) A x 10" 8 cm (calculated) AAxlO" 8 cm H D calculated observed 1215-664 1025-718 972-533 949-739 937-800 930-744 1215-334 1025-439 972-269 949-481 937-545 930-491 0-330 0-279 0-264 0-258 0-255 0-253 0-330 0-276 0-266 0-262 0-274 0-258 (From Moelwyn-Hughes: p. ) The quantum number k, which refers to the quantisation of the angular component of momentum, is called the angular quantum number. All states having the same n have the same energy: we say that the system is degenerate with respect to the quantum number k.
4) neglecting the refractive index in the object space. Again, this I ►x Direction of motion of the particle I FIG. 3. Bohr's microscope. uncertainty can be reduced without limit in principle by increasing the aperture of the lens and decreasing the wavelength of the illumination, and both methods are in fact used to improve the resolving power of microscopes. However, in order for the particle to be observed at all, it is necessary for at least one photon to be scattered from the particle through the optical system.
An Introduction to the Electron Theory of Solids. Metallurgy Division by John Stringer