On the autocorrelation functions of right cylindrical particles

被引：5

作者：

Ciccariello, S

机构：

[1] Univ Padua, Dipartimento Fis G Galilei, I-35131 Padua, Italy

[2] Unita INFM, I-35131 Padua, Italy

来源：

ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES | 2003年 / 59卷

关键词：

D O I：

10.1107/S0108767303016957

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

The autocorrelation function of a finite particle with the shape of a right cylinder is determined by the autocorrelation function of the particle right section, whatever the latter's shape, and by the cylinder height. In fact, the first function is an integral transform of the second with a simple kernel depending on the cylinder height. This integral relation is solved to determine the autocorrelation function of the particle section in terms of the autocorrelation function of the full particle.

引用

页码：506 / 512

页数：7

共 17 条

[1]

[Anonymous], 1980, Gos. Izd-vo Fiz.-Mat. Literatury

[2]

Bocher M., 1909, An Introduction to the Study of Integral Equations

[3]

Brumberger H., 1967, SMALL ANGLE XRAY SCA, P1

[4] Analysis of chord-length distributions [J].

Burger, C ;

Ruland, W .

ACTA CRYSTALLOGRAPHICA SECTION A, 2001, 57 :482-491

[5] ON THE POROD LAW [J].

CICCARIELLO, S ;

GOODISMAN, J ;

BRUMBERGER, H .

JOURNAL OF APPLIED CRYSTALLOGRAPHY, 1988, 21 :117-128

[6] SINGULARITIES OF PHASE BOUNDARIES AND VALUES OF THE 2ND-ORDER DERIVATIVE OF THE CORRELATION-FUNCTION AT THE ORIGIN [J].

CICCARIELLO, S ;

BENEDETTI, A .

PHYSICAL REVIEW B, 1982, 26 (12) :6384-6389

[7]

CICCARIELLO S, 1981, PHYS REV B, V23, P6474, DOI 10.1103/PhysRevB.23.6474

[8] LEADING ASYMPTOTIC TERM OF THE SMALL-ANGLE SCATTERED INTENSITY [J].

CICCARIELLO, S .

PHYSICAL REVIEW A, 1991, 44 (05) :2975-2983

[9] SCATTERING BY AN INHOMOGENEOUS SOLID [J].

DEBYE, P ;

BUECHE, AM .

JOURNAL OF APPLIED PHYSICS, 1949, 20 (06) :518-525

[10] SCATTERING BY AN INHOMOGENEOUS SOLID .2. THE CORRELATION FUNCTION AND ITS APPLICATION [J].

DEBYE, P ;

ANDERSON, HR ;

BRUMBERGER, H .

JOURNAL OF APPLIED PHYSICS, 1957, 28 (06) :679-683

← 1 2 →