The name is absent



the derivation is presented for a pure fluid of branched chain molecules having m
backbone segments and two branches at backbone segments ‘j’ and lk,, as shown in
fig. 7.la. The branch at ‘j’ has mj- segments enumerated as bj-l, bj2, ..., bjmj. This
notation is used to distinguish the branch segments from the backbone segments. The
generalization to chains with multiple branches will follow.

(a)


Figure 7.1: (a) Model of a branched chain molecule. The backbone has ‘m’ segments and
the two branches at backbone segment ‘j’ and ‘k’ are ‘b/ and ζb∕c,, respectively, bj has mj
segments while bʌ, has n⅛ segments. The total number of segments in the chain, N = m
+ mj∙ + rn⅛. (b) Schematic of the formation of a branched polymer chain of N segments
from N associating spheres. For a middle segment
a , site ‘A’ associates with site ‘B’ on
the segment
a' = a + 1 and site ‘B’ associates with site ‘A’ on the segment a' = a - 1.
The branch points on the backbone T and ‘k’ have additional associating site ‘C’ which
associates with the branch segments, 1bj m3, and ζb⅛ m⅛,, respectively. End segments 1, m,
tb7 1’ and ‘bfc 1’ have only one associating site, ‘A’ or ‘B’.


The grand free energy (Ω) of the chain fluid at fixed volume ( V), temperature ( T),
and chemical potential (μ) in the presence of an external field ( Vearf(R)) is related to

184



More intriguing information

1. The name is absent
2. Wirkung einer Feiertagsbereinigung des Länderfinanzausgleichs: eine empirische Analyse des deutschen Finanzausgleichs
3. Pursuit of Competitive Advantages for Entrepreneurship: Development of Enterprise as a Learning Organization. International and Russian Experience
4. Tax systems and tax reforms in Europe: Rationale and open issue for more radical reforms
5. The name is absent
6. The name is absent
7. How do investors' expectations drive asset prices?
8. Knowledge, Innovation and Agglomeration - regionalized multiple indicators and evidence from Brazil
9. Evaluating Consumer Usage of Nutritional Labeling: The Influence of Socio-Economic Characteristics
10. Olfactory Neuroblastoma: Diagnostic Difficulty