半导体学报
半導體學報
반도체학보
CHINESE JOURNAL OF SEMICONDUCTORS
2008年
7期
1281-1285
,共5页
孙以材%潘国峰%杨茂峰%叶威%张鹏
孫以材%潘國峰%楊茂峰%葉威%張鵬
손이재%반국봉%양무봉%협위%장붕
mapping技术%硅单晶%绘制电阻率等值线
mapping技術%硅單晶%繪製電阻率等值線
mapping기술%규단정%회제전조솔등치선
mapping technique silicon monocrystal%draw the resistivity isocontours
用斜置式四探针测定了硅单晶片(Ф75mm)上3mm间距测试点的电阻率分布.本文从电阻率的统计分布出发,确定了电阻率的分隔数和差值,采用指数函数作为模糊集的隶属度,并且选择合适的门槛值,利用模糊数学将电阻率数据归类于不同的模糊集.同一模糊集对应相同的电阻率,这样使电阻率能以一定的间隔分布,然后结合MATLAB软件画出电阻率等值线,以构成Mapping图.在同一等电阻率线条上各点具有较小的阻值偏差,且剩余未连接点少.连接质量好,可以应用于指导实际生产.
用斜置式四探針測定瞭硅單晶片(Ф75mm)上3mm間距測試點的電阻率分佈.本文從電阻率的統計分佈齣髮,確定瞭電阻率的分隔數和差值,採用指數函數作為模糊集的隸屬度,併且選擇閤適的門檻值,利用模糊數學將電阻率數據歸類于不同的模糊集.同一模糊集對應相同的電阻率,這樣使電阻率能以一定的間隔分佈,然後結閤MATLAB軟件畫齣電阻率等值線,以構成Mapping圖.在同一等電阻率線條上各點具有較小的阻值偏差,且剩餘未連接點少.連接質量好,可以應用于指導實際生產.
용사치식사탐침측정료규단정편(Ф75mm)상3mm간거측시점적전조솔분포.본문종전조솔적통계분포출발,학정료전조솔적분격수화차치,채용지수함수작위모호집적대속도,병차선택합괄적문함치,이용모호수학장전조솔수거귀류우불동적모호집.동일모호집대응상동적전조솔,저양사전조솔능이일정적간격분포,연후결합MATLAB연건화출전조솔등치선,이구성Mapping도.재동일등전조솔선조상각점구유교소적조치편차,차잉여미련접점소.련접질량호,가이응용우지도실제생산.
A resistivity distribution with a space of 3mm between test points was measured on a slice-of-silicon monocrystal (diameter 75mm)using an inclined four-point probe. This paper has determined the number of resistivity divisions and their separations by statistical methods and introduced fuzzy mathematics to place the data into different fuzzy sets, after choosing the exponent function as a membership function for fuzzy sets and suitable values of thresholds. One fuzzy set corresponds to one resistivity isocontour. Then, the resistivity isocontours can be drawn with a definite separation and finally shown in a map with MATLAB. The deviation of resistivity data on an isocontour is small and there are few residual test points without connections. So, the connection of the isocontours are high-quality and useful in application for instructing practical production.