Leonard M. Sander's Advanced condensed matter physics PDF

By Leonard M. Sander

ISBN-10: 0521872901

ISBN-13: 9780521872904

This article contains assurance of vital subject matters that aren't in general featured in different textbooks on condensed subject physics; those contain surfaces, the quantum corridor impact and superfluidity. the writer avoids complicated formalism, comparable to Green's capabilities, that could imprecise the underlying physics, and as a substitute emphasizes basic actual reasoning. this article is meant for school room use, so it good points lots of references and wide difficulties for resolution in line with the author's decades of training within the Physics division on the college of Michigan. This textbook is perfect for physics graduates in addition to scholars in chemistry and engineering; it will possibly both function a reference for learn scholars in condensed subject physics. Engineering scholars particularly, will locate the remedy of the basics of semiconductor units and the optics of solids of specific curiosity.

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Example text

Bragg and W. A. Bragg (Bragg & Bragg 1913, Bragg 1913), is to think of the crystal planes as partial reflectors. 11. The condition is 2d sin(θ/2) = nλ, where λ is the wavelength as in ordinary optics. We mentioned above that each set of planes is associated with a reciprocal lattice vector, so for each reciprocal lattice vector we have constructive interference. In the case of the Friedrich et al. experiment we have what is now called a Laue pattern: the X-rays were a broad-band combination of wavelengths, so for several sets of planes which satisfied the diffraction condition there were spots on the film.

We can now compute the cohesive energy for Ar in the fcc structure. We note that even if we know the crystal structure we do not know the lattice constant a, the distance between nearest neighbors. The crystal will adjust to have the lowest energy by adjusting a. That is, to find the equilibrium structure we compute E(a) and minimize it with respect to a. To this end we need to sum up the potential V (r) over all pairs of atoms at distances rij : E = (1/2) 4 [(σ/rij )12 − (σ/rij )6 ]. 19) i=j We need not consider the kinetic energy because, as is well known from statistical physics, it is the same for the solid and the gas if classical mechanics is valid.

1 Crystalline order and cohesive energies We now compute the ground-state energy of a crystal, as we did for a magnet. Consider a simple molecular-bonded solid such as Ar. For low enough temperature Ar condenses into a Fig. 1 sliced in half and displayed as a pile of close packed spheres. 2 Crystals V (r ) r Fig. 7 A sketch of the Lennard-Jones potential. The minimum is given by rmin = 21/6 σ, Vmin = . fcc crystal. In this case, the dominant attractive interaction is the van der Waals’ interaction.

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Advanced condensed matter physics by Leonard M. Sander

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