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Tracer diffusion describes the motion of individual adparticles on a surface at relatively low coverage levels. At these low levels (< 0.01 monolayer), particle interaction is low and each particle can be considered to move independently of the others. The single atom diffusing in figure 1 is a nice example of tracer diffusion.
Over distances of order a nanometer, there is little difference between the surface of a colloidal particle 1 μm across, and a flat surface. Diffusioosmosis is flow of a fluid at a solid surface, or in other words, flow at a solid/fluid interface. The Marangoni effect is flow at a fluid/fluid interface. So the two phenomena are analogous with ...
Metallic solids have, by definition, no band gap at the Fermi level and hence are conducting. Solids with purely metallic bonding are characteristically ductile and, in their pure forms, have low strength; melting points can [inconsistent] be very low (e.g., Mercury melts at 234 K (−39 °C). These properties are consequences of the non ...
In quantum mechanics, the particle in a one-dimensional lattice is a problem that occurs in the model of a periodic crystal lattice. The potential is caused by ions in the periodic structure of the crystal creating an electromagnetic field so electrons are subject to a regular potential inside the lattice.
A well-studied example is the radical ion salt TTF-TCNQ with a conductivity of 5 x 10 2 Ω −1 cm −1, [5] much closer to copper (ρ = 6 x 10 5 Ω −1 cm −1) [8] than many molecular solids. [ 31 ] [ 18 ] [ 30 ] The coulombic interaction in TTF-TCNQ stems from the large partial negative charge (δ = -0.59) on the cyano- moiety on TCNQ at ...
A Bloch wave function (bottom) can be broken up into the product of a periodic function (top) and a plane-wave (center). The left side and right side represent the same Bloch state broken up in two different ways, involving the wave vector k 1 (left) or k 2 (right). The difference (k 1 − k 2) is a reciprocal lattice vector. In all plots, blue ...
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For the leptons, the gauge group can be written SU(2) l × U(1) L × U(1) R. The two U(1) factors can be combined into U(1) Y × U(1) l, where l is the lepton number. Gauging of the lepton number is ruled out by experiment, leaving only the possible gauge group SU(2) L × U(1) Y. A similar argument in the quark sector also gives the same result ...
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