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1642452207
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note
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To be definite we assume an aqueous solution; in the general case H units are just poorly soluble or insoluble while P units are soluble.
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19
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1642533913
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notee
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BT is considered as the energy unit.
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21
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1642452210
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note
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0 stems from the surface repulsion of P units which can be partially released by convex bending of the surface.
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1642574653
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c, and the overall "swollen star" structure are then defined by invoking the elastic energy of long H blocks; see below.
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26
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1642493225
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Geometry and Interfaces
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Dubois-Violette, E., Pansu, B., Eds.
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1642493226
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note
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Precipitation at C̃ = 0 is a result of the spherical (cylindrical) approximation for the Wigner-Seitz cell of an inverse structure.
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29
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1642533914
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note
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We assume that the number fraction of short blocks is small. Therefore א, the total number of all H blocks, nearly coincides with the number of long blocks. With this condition the expression for the conformational free energy obtained below, eq 14, is asymptotically exact.
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30
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1642533915
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note
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A spherical aggregate is assumed; the result for D, apart from a numerical prefactor, is also applicable to other morphologies.
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31
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1642574654
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note
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3 for high a's. Thus the region of high apparent a's just not accessible for small B's because of the effect of surface crumpling.
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0030127403
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1642574652
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note
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The phase diagram is discontinuous at θ = 0: note a singularity in the equation defining ã at θ = 0. That is why there is no matching similarity between the diagrams shown in Figures 9 and 10.
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39
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1642452208
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note
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The term "proteinlike copolymer" is also widely used in a more specific sense assuming a certain sequence design procedure and/or a certain Levy-flight sequence statistics. The same term ("proteinlike") was also used in a different sense (not applicable in this paper) marking the ability of the copolymer to fold in a specific conformation (see, for example, ref. 27).
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1642452209
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note
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Note that in all the cases the complete distribution is bimodal involving a lot of long blocks and some short blocks. So, the mean block length ñ always nearly coincides with the length of long blocks.
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1642533917
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note
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A similar analysis for H-PH copolymers shows that the spontaneous surface curvature decreases as solvent quality worsens (i.e., as τ is increased) . Hence the following possible sequence of morphological transitions: homogeneous solution → "swollen star" aggregates → spheres → cylinders → layers → precipitate (see section 3).
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