IMPROVED COMPUTATIONAL METHODS FOR THE CALCULATION OF KOHLRAUSCH-WILLIAMS WATTS (KWW) DECAY FUNCTIONS

被引：24

作者：

WEISS, GH

DISHON, M

LONG, AM

BENDLER, JT

JONES, AA

INGLEFIELD, PT

BANDIS, A

机构：

[1] NATL INST STAND & TECHNOL,GAITHERSBURG,MD 20899

[2] GE CO,CTR RES & DEV,SCHENECTADY,NY 12301

[3] CLARK UNIV,DEPT CHEM,WORCESTER,MA 01610

来源：

POLYMER | 1994年 / 35卷 / 09期

关键词：

CONVERGENCE ACCELERATION; SERIES EXPANSIONS; STABLE-LAW DENSITY;

D O I：

10.1016/0032-3861(94)90977-6

中图分类号：

O63 [高分子化学（高聚物）];

学科分类号：

070305 ; 080501 ; 081704 ;

摘要：

Convergence-accelerating methods have been applied to series expansions for the stable-law density Q(alpha)(z) = 1/pi integral-infinity/0 e(-ualpha) cos(zu) du which is, in turn, simply related to the spectral density of the Kohlrausch-Williams/Watts (KWW) decay function phi(t)=e-(t/tau)alpha]. N.m.r. relaxation parameters such as NOEF, T1 and T1rho are computed for polycarbonate and polydimethylsiloxane using the new series and the results compared to experiment and to earlier computations which employed a decomposition of the KWW function into a sum of exponential terms.

引用

页码：1880 / 1883

页数：4

共 16 条

[1]

ABRAGAM A, 1973, PRINCIPLES NUCLEAR M, P272

[2]

Brezinski C., 1991, EXTRAPOLATION METHOD

[3] Dispersion and absorption in dielectrics I. Alternating current characteristics [J].