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with each other (Figure 631) Any increase in solid protein here tends to be counterbalanced by dissolution of solid protein with the consequence that crystals cannot grow at the saturation point Formation of a crystal depends on the formation of a stable nucleus This is initiated by two or more sample molecules assembling together to form a suitable platform onto which other sample molecules can assemble Ordered successive addition of sample under the nonequilibrium conditions of supersaturation leads to growth of the crystal in three dimensions until equilibrium is re-established The driving force behind this process is formation of the maximum number of intermolecular bonds such as hydrogen bonds and van der Waals interactions Of course, there are many more ways for a protein/DNA molecule not to form a crystal since entropy in chemical systems tends to the maximum.

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Therefore, it is much more common for a nucleus to grow to a certain point and then stop growing Such a nucleus is called an unstable nucleus Alternatively, sample molecules may add together in a disordered manner leading to precipitation Conditions leading to formation of a crystal of suitable size (minimum 05 mm) and quality for X-ray diffraction are rare and are usually only found after exhaustive screens of hundreds or thousands of individual conditions If the protein concentration is increased beyond saturation, that is to supersaturation, a nonequilibrium state is achieved At supersaturation, the tendency of the system to return to equilibrium forces protein into the solid phase, occasionally resulting in crystal formation In practical terms, the supersaturated state may be achieved by evaporation of solvent or by manipulation of temperature (Section 634).

PROBLEMS CAUSED BY CONSOLIDATING APPLICATIONS AND RESOURCES Since more network ports and users need access to applications in the centralized subnet or VLAN, several servers are impacted by a single security breach.

The supersaturated region of the phase diagram may, in turn, be divided into metastable and labile regions (Figure 631) The metastable region is de ned as a region where stable nuclei cannot form If, however, stable nuclei are introduced into the metastable region, they can continue to grow This is distinguished from the labile region where stable nuclei can both form and continue to grow The importance of this is that, if the supersaturated system is very far from equilibrium (eg far into the labile region), then very many stable nuclei can rapidly form in the early stages of crystallization but crystal growth then slows and halts as equilibrium is re-established This results in a large number of very small and often imperfect crystals which are not suitable for diffraction (these are called showers of microcrystals).

P1: KOA WY050-02 WY050-Ulick-v4 September 19, 2004 10:56

Conversely, the nearer the system is to the metastable region, the fewer stable nuclei are formed and the slower crystallization proceeds in the early stage of the experiment This is the situation desired in biomacromolecule crystallization as it results in a small number of large crystals of the high quality required for diffraction (Figure 632,.

Table 23.1 Stakeholders and measures of the cost of lost oil production Stakeholder Producer Relevant measures Current well-head price per barrel Discounted well-head price (as the production is not lost, only deferred to the end of the life of the oil field) Marginal profitability of a barrel of oil produced Revenue per barrel transported Royalty per barrel extracted Strategic value of energy supplies Marginal additional cost of crude from the next-best source

I should mention that Photoshop provides several automated edge-tracing filters including Find Edges, Trace Contour, and the Gallery Effects acquisition, Glowing Edges. But High Pass affords more control than any of these commands and permits you to explore a wider range of alternatives. Also worth noting, several Gallery Effects filters most obviously Filter Sketch Photocopy lift much of their code directly from High Pass. Although it may seem at first glance a strange effect, High Pass is one of the seminal filters in Photoshop.