Introduction to Physical Polymer Science

SYMBOLS AND DEFINITIONS

SYMBOL DEFINITION SECTION English Alphabet A A2 = second virial coefficient 3.3.2   A1 = first virial coefficient 3.5.3.3   A3 = third virial coefficient 3.5.3.3   A4 = fourth virial coefficient 3.5.3.3   A (with various subscripts) = area under a Bragg diffraction line 6.5.4   Angular amplitude 8.3.3   AT = reduced variables shift factor 8.6.1.2   Surface area (with various subscripts) 12.2.3 B Bulk modulus 8.1.1.2, 8.1.4 C C* = chiral center, optically active carbon 2.3.2, 2.4.1   Cm = constant 3.3.2   CN = neutron scatting equivalent of H 5.2.2.1   C8 = characteristic ratio 5.3.1.1   ?Cp = change in heat capacity 6.1   CI = crystallinity index 6.5.4   Cp = heat capacity 8.2.9   C1, C2 = Mooney-Rivlin constants 9.9.1   C100, C010, C200, C400, C, C´, C?, = generalized strain energy constants 9.9.2   C1´, C2´ = WLF constants 10.4.1   CA = concentration of A A10.1   Cp, Cv = capacitance of polymer and vacuum 14.7.1 D Diffusion coefficient 3.6.6, 4.4.2, 5.4.2.1   Disk diameter 13.9.3   De = Deborah number 10.2.4   D´ = fractal dimension 12.7.3   D2 = IPN phase domain size 13.5.4   D = Tensile compliance 8.1.6 E Young's modulus 1.3, 8.1.1.1   ?E = change in energy 2.2.4   Eact = energy of activation 2.8, 8.6.1.2   E* = complex Young's (tensile) modulus 8.1.8   E´ = storage modulus 8.1.8   E? = loss modulus 8.1.8   E1, E2, etc. = spring moduli 10.1.2.1   Elongational compliance 8.1.6 F Helmholtz free energy 9.5 G Gibbs's free energy 3.2   Group molar attraction constant 3.2.3   ?GM = change in free energy on mixing 3.2   GN0 = steady-state rubbery shear modulus 5.4.2.1   Radial growth rate of crystal 6.6.2.2   Shear modulus 8.1.1.1   G* = complex shear modulus 8.1.8   G´ = shear storage modulus 8.2.9   G? = shear loss modulus 8.2.9   = fracture energy 11.1.2   = critical energy of crack growth 11.1.2   = critical energy of crack growth on extension 11.5.2.4   Gs = surface free energy 12.2.1 H H0 = magnetic field 2.2.4   Optical constant 3.6   ?Hf = enthalpy of fusion 6.1   dH = NMR absorption line width 8.3.4   Heat energy per unit volume per cycle 8.12   Wool's general function 11.5.3   Hs = surface enthalpy 12.2.1 I ID = dimer emission intensity 2.10.3.1   IM = single mer emission intensity 2.10.3.1 I I1, I2, I3 = strain invarients 9.9.2   Current 14.7.1 J Flux 4.4.2   Jn = de Gennes defect current 5.4.2.1   Compliance (with various subscripts) 5.4.2.1, 8.1.1.2   Shear compliance 8.1.1, 8.1.6   J* = complex compliance 8.1.6   J´, J? = storage and loss compliance 10.2.4 K = constant 3.6.1   Wave vector 3.6.1, 5.2.2.1, 12.3.8.1   Equilibrium constant of polymerization 3.7.2.1   Constant in the Mark-Houwink-Sakurada equation 3.8.3   Kd = distribution coefficient 3.9.2   = constant relating end-to-end distance to molecular weight 4.3.9   K1, K2 = measures of free volume 8.6.1.1   KL, KH = constants in melt viscosity 10.4.2.1   K = stress intensity factor 11.2.4.1, 11.3.2   K1c, K2c, K3c = critical stress intensity factor in the extension, shear, and tearing modes 11.2.4.1, 11.3.2   ?K = stress intensity factor range 11.4.2 L Sample length 9.4   L(x), L(ß) = inverse Langevin function 9.10.1   L1, L2 = transverse lengths 12.3.8.1   2L0 = separation length 12.6.1 M Molecular weight   Mn = number-average molecular weight 1.2.1, 3.4   Mw = weight-average molecular weight 3.4   Mz = z-average molecular weight 3.4   Mv = viscosity-average molecular weight 3.4   M1, M2 = mass fractions 8.8.1   Mc = number-average molecular weight between cross-links 9.4 M Me = molecular weight between entanglements 9.4   M´c = entanglement molecular weight 9.4,...