東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Condensation on heterogeneous regula...

Willett, Lori Jo.

FindBook

Google Book

Amazon

博客來

Condensation on heterogeneous regular surfaces.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Condensation on heterogeneous regular surfaces./
作者:	Willett, Lori Jo.
面頁冊數:	161 p.
附註:	Source: Dissertation Abstracts International, Volume: 61-03, Section: B, page: 1612.
Contained By:	Dissertation Abstracts International61-03B.
標題:	Engineering, Nuclear. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9964012
ISBN:	0599682779

Condensation on heterogeneous regular surfaces.
Willett, Lori Jo.

Condensation on heterogeneous regular surfaces. - 161 p.

Source: Dissertation Abstracts International, Volume: 61-03, Section: B, page: 1612.

Thesis (Ph.D.)--University of Missouri - Columbia, 1999.

Variations in the topographical distribution (e.g., number, size, dispersal) of adsorption sites on an aerosol surface have been shown to play a predominant role in determining the quasi-two dimensional nature of condensation and reactions of vapors and gases at the gas-surface boundary. Investigations of the role of spatially dependent surface reactivities (sticking coefficients) on overall particle chemistry and growth require the development of a mathematical framework which is versatile enough to accommodate highly detailed models of surface heterogeneity for the complex topographies encountered at particle surfaces as well as along surfaces of interest in microelectronic semiconductor industry (e.g., silicon wafer substrates with trench device structures). The problem of interest (in the present dissertation) unfolds with an aerosol particle immersed in an infinite expanse of background gas, permeated with a dilute vapor or gas diffusant having a concentration f&d5;r . Here, the restriction to diffusion/adsorption problems in the continuum/jump regimes permits the use of the diffusion model approximation. More formally, the vapor concentration, f&d5;r , satisfies the Laplace equation 12f&d5; r=0 in the steady-state, with a Dirichlet boundary condition at infinity &parl0;limr→infinity f&d5; r=finfinity&parr0; and a jump boundary condition, f&d5; rs=f satrs +a rs6 6nf&d5; rs , at the particle surface S. Here, rs indicates an arbitrary point on S; n&circ; &equiv;n/n is the unit normal to the surface directed outward from the particle; fsat rs is the known local saturation density at rs; and ars is the local jump distance prescribed at rs. Note that 6f&d5; rs/6n may be multiplied by the reactant precursor diffusivity, D, in the host gas to obtain the local condensation (or evaporation) current density at the point rs on the particle surface. Also note that ars &prop;D/krs , where k(rs) measures the reaction rate at the particle surface. Hence, alpha(rs) measures the relative importance of the gas phase diffusion rate to the reaction rate. We additionally note that the reaction rate is related to the sticking coefficient, Sc, via krs &prop;uScr s , where u is the mean thermal reactant precursor velocity. The spatial dependence in alpha(rs) (or Sc (rs)), thus, provides for the accommodation of low adsorption sites (low surface reactivities, k(rs )), prescribed by high local jumps, alpha(rs) and high adsorption sites (high surface reactivities, k(r s)), prescribed by small local jumps, alpha(rs). Indeed, the absence of any surface-rate limiting effects implies perfect sink absorption sites where a&d5;r s=0 . The mathematical framework developed in the present dissertation unfolds from the application of an earlier developed Green's function technique, based on singularity removal, to the diffusion model approximation. The resulting reduction in the dimensionality of the problem converts the diffusion-modeled boundary value problem to an integro-differential equation for f&d5; rs at the particle surface. (Abstract shortened by UMI.)

ISBN: 0599682779Subjects--Topical Terms:

1043651
Engineering, Nuclear.

Condensation on heterogeneous regular surfaces.
LDR:04086nmm 2200289 4500 001 1857400
005 20041123145126.5
008 130614s1999 eng d
020 $a 0599682779
035 $a (UnM)AAI9964012
035 $a AAI9964012
040 $a UnM $c UnM
100 1 $a Willett, Lori Jo. $3 1945119
245 1 0 $a Condensation on heterogeneous regular surfaces.
300 $a 161 p.
500 $a Source: Dissertation Abstracts International, Volume: 61-03, Section: B, page: 1612.
500 $a Supervisors: Sudarshan K. Loyalka, Robert V. Tompson, Jr.
502 $a Thesis (Ph.D.)--University of Missouri - Columbia, 1999.
520 $a Variations in the topographical distribution (e.g., number, size, dispersal) of adsorption sites on an aerosol surface have been shown to play a predominant role in determining the quasi-two dimensional nature of condensation and reactions of vapors and gases at the gas-surface boundary. Investigations of the role of spatially dependent surface reactivities (sticking coefficients) on overall particle chemistry and growth require the development of a mathematical framework which is versatile enough to accommodate highly detailed models of surface heterogeneity for the complex topographies encountered at particle surfaces as well as along surfaces of interest in microelectronic semiconductor industry (e.g., silicon wafer substrates with trench device structures). The problem of interest (in the present dissertation) unfolds with an aerosol particle immersed in an infinite expanse of background gas, permeated with a dilute vapor or gas diffusant having a concentration f&d5;r . Here, the restriction to diffusion/adsorption problems in the continuum/jump regimes permits the use of the diffusion model approximation. More formally, the vapor concentration, f&d5;r , satisfies the Laplace equation 12f&d5; r=0 in the steady-state, with a Dirichlet boundary condition at infinity &parl0;limr→infinity f&d5; r=finfinity&parr0; and a jump boundary condition, f&d5; rs=f satrs +a rs6 6nf&d5; rs , at the particle surface S. Here, rs indicates an arbitrary point on S; n&circ; &equiv;n/n is the unit normal to the surface directed outward from the particle; fsat rs is the known local saturation density at rs; and ars is the local jump distance prescribed at rs. Note that 6f&d5; rs/6n may be multiplied by the reactant precursor diffusivity, D, in the host gas to obtain the local condensation (or evaporation) current density at the point rs on the particle surface. Also note that ars &prop;D/krs , where k(rs) measures the reaction rate at the particle surface. Hence, alpha(rs) measures the relative importance of the gas phase diffusion rate to the reaction rate. We additionally note that the reaction rate is related to the sticking coefficient, Sc, via krs &prop;uScr s , where u is the mean thermal reactant precursor velocity. The spatial dependence in alpha(rs) (or Sc (rs)), thus, provides for the accommodation of low adsorption sites (low surface reactivities, k(rs )), prescribed by high local jumps, alpha(rs) and high adsorption sites (high surface reactivities, k(r s)), prescribed by small local jumps, alpha(rs). Indeed, the absence of any surface-rate limiting effects implies perfect sink absorption sites where a&d5;r s=0 . The mathematical framework developed in the present dissertation unfolds from the application of an earlier developed Green's function technique, based on singularity removal, to the diffusion model approximation. The resulting reduction in the dimensionality of the problem converts the diffusion-modeled boundary value problem to an integro-differential equation for f&d5; rs at the particle surface. (Abstract shortened by UMI.)
590 $a School code: 0133.
650 4 $a Engineering, Nuclear. $3 1043651
650 4 $a Physics, General. $3 1018488
650 4 $a Mathematics. $3 515831
690 $a 0552
690 $a 0605
690 $a 0405
710 2 0 $a University of Missouri - Columbia. $3 1017522
773 0 $t Dissertation Abstracts International $g 61-03B.
790 1 0 $a Loyalka, Sudarshan K., Robert V. Tompson, Jr., $e advisor
790 $a 0133
791 $a Ph.D.
792 $a 1999
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9964012