Maximum coverage problem: Difference between revisions

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m Operations research people like this problem too (see the 1st reference), added that to the intro.
 
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[[Ligand]] K-edge [[X-ray absorption spectroscopy|XAS]] is a spectroscopic technique that allows the direct study of metal-ligand bonding.<ref>{{Cite doi|10.1016/j.ccr.2004.03.020}}</ref> In a XAS experiment, electrons in ligand 1s orbitals are excited to unfilled p ([[principal quantum number]] n <= 4) and continuum states. This results in a large spectral feature known as a rising edge. Transitions at energies lower than the edge can occur, provided they are to orbitals with some ligand p character, and are called pre-edges. Such transitions are often observed in the data of complexes with metal-ligand bonding.
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Pre-edge intensities (D<sub>0</sub>) are related to the amount of ligand (L) character in the unfilled orbital:
 
<math>D_0(L \ 1s \rightarrow \psi^*) = const \ \vert \langle L \ 1s \vert \mathbf{r} \vert \psi^* \rangle \vert^2
= \alpha^2 \ const \ \vert \langle L \ 1s \vert \mathbf{r} \vert L \ np \rangle \vert^2 </math>
 
where <math>\psi^*</math> is the wavefunction of the unfilled orbital, '''r''' is the transition dipole operator, and <math>\alpha^2</math> is the "covalency" or ligand character in the orbital. Since <math>\psi^* = \sqrt{1-\alpha^2} \vert M_d \rangle - \alpha \vert L_{np} \rangle </math>, the above expression relating intensity and quantum transition operators can be simplified to use experimental values:
 
<math> D_0 = \frac{\alpha^2 h}{3n}I_s</math>
 
where n is the number of absorbing ligand atoms, h is the number of holes, and I<sub>s</sub> is the transition dipole integral which can be determined experimentally. Therefore, by measuring the intensity of pre-edges, it is possible to experimentally the determine the amount of ligand character in a molecular orbital.
 
==References==
<references/>
 
[[Category:Spectroscopy]]
[[Category:Synchrotron-related techniques]]
[[Category:X-rays]]

Latest revision as of 20:27, 12 February 2014

UGGUgg boots, owned by Decker Outdoor Corp., reported earnings last week, and the results were bad.

Profits were down 31 percent, mostly because women aren't buying ugg boots sale boots. The company said it was going to slash prices to draw more interest to the boots, but even that isn't guaranteed to help.
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But ugg boots sale faces a terrifying reality: women's boots might be going out of style.
"The worst is yet to come," Sam Poser, an analyst at Sterne Agee, told the Huffington Post, adding that "weaker Uggs sales might not just be due to weather, but may indicate that the boots have fallen out of fashion."
If that's true, ugg boots sale's problems become a lot more daunting. While the company is making strides with men, women's boots make up the vast majority of its business.

Women are unlikely to shell ugg boots sale out for Ugg flats or loafers because they are already loyal to other brands. Boots are the core product.
If boots are actually out of style, Ugg will have just have to wait for the fashion cycle to turn around.
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