• 제목/요약/키워드: effective ionization coefficient

검색결과 28건 처리시간 0.027초

볼츠만 방정식에 의한 $CF_4$ 분자가스의 전리 및 부착계수에 관한 연구 (The study of ionization and attachment coefficients in $CF_4$ molecular gas by Boltzmann equation)

  • 송병두;하성철;전병훈
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2004년도 추계학술대회 논문집 Vol.17
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    • pp.628-631
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    • 2004
  • A tetrafluoromethane$(CF_4)$ is most useful gas in plasma dry etching, because it has a electron attachment cross-section. therefor it is important to calculate transport coefficients like electron drift velocity, ionization coefficient, attachment coefficient, effective ionization coefficient. and critical E/N. The aim of this study is to get these transport coefficients for information of the insulation strength and efficiency of etching process. Electron transport coefficients in $CF_4+Ar$ gas mixture are simulated in range of E/N values from 1 to 250 [Td] at 300[K} and 1 [Torr] by using Boltzmann equation method. The results of this method can be important data to present characteristic of gas for plasma etching and insulation, specially critical E/N is a data to evaluate insulation strength of a gas. and is presented in this paper for various mixture ratios of $CF_4+Ar$ gas mixture.

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Si $p^+n$ 접합 다이오드의 온도를 고려한 유효 이온화 계수 모델링 (Modeling for Temperature Dependent Effective ionization Coefficient of Si $p^+n$ Junction Diodes)

  • 정용성
    • 대한전자공학회논문지SD
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    • 제41권1호
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    • pp.9-14
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    • 2004
  • 본 논문에서는 Si의 유효 이온화 계수를 온도 함수로 추출하였고, 이 유효 이온화 계수를 이용하여 Si $p^+n$ 접합에서의 항복 전압을 위한 해석적 표현식을 온도 함수로 유도하였다. 100K 300K 및 500K일 경우, 해석적 항복 전압 결과는 $10^{14}cm^{-3}{\~} 10^{17}cm^{-3}$의 농도 범위에서 실험 결과 및 시뮬레이션 결과와 비교하여 오차 범위 $3\%$ 이내로 잘 일치하였다.

$SF_6-N_2$ 혼합기체(混合氣體)의 전리(電離) 및 부착계수(附着係數) (Ionization and Attachment Coefficients in Mixtures of $SF_6$ and $N_2$)

  • 김상남
    • 전기학회논문지P
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    • 제58권1호
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    • pp.44-47
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    • 2009
  • This paper describes the information for quantitative simulation of weakly ionized plasma. We must grasp the meaning of the plasma state condition to utilize engineering application and to understand materials of plasma state. $SF_6$ gas is widely used in industrial of insulation field. In this paper, $N_2$ is mixed to improve pure $SF_6$ gas characteristics. Electron transport coefficients in $SF_6-N_2$ mixture gases are simulated in range of E/N values from 70 to 400 [Td] at 300K and 1 Torr by using Boltzmann equation method. The results of this method. which are ionization coefficient, attachment coefficient, effective ionization coefficient, and critical E/N, can be important data to present characteristic of gas for insulation. Specially critical E/N is a data to evaluate insulation strength of a gas and is presented in this paper for various mixture ratios of $SF_6-N_2$ mixture gases.

볼츠만 방정식에 의한 C3F8분자가스의 전리 및 부착 계수에 관한 연구 (The Character of Electron Ionization and Attachment Coefficients in Perfluoropropane(C3F8) Molecular Gas by the Boltzmann Equation)

  • 송병두;전병훈;하성철
    • 한국전기전자재료학회논문지
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    • 제18권4호
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    • pp.375-380
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    • 2005
  • CF₄ molecular gas is used in most of semiconductor manufacture processing and SF/sub 6/ molecular gas is widely used in industrial of insulation field. but both of gases have defect in global warming. C₃F/sub 8/ gas has large attachment cross-section more than these gases, moreover GWP, life-time and price of C₃F/sub 8/ gas is lower than them, therefor it is important to calculate transport coefficients of C₃F/sub 8/ gas like electron drift velocity, ionization coefficient, attachment coefficient, effective ionization coefficient and critical E/N. The aim of this study is to get these transport coefficients for imformation of the insulation strength and efficiency of etching process. In this paper, we calculated the electron drift velocity (W) in pure C₃F/sub 8/ molecular gas over the range of E/N=0.1∼250 Td at the temperature was 300 K and gas pressure was 1 Torr by the Boltzmann equation method. The results of this paper can be important data to present characteristic of gas for plasma etching and insulation, specially critical E/N is a data to evaluate insulation strength of a gas.

III-V족 반도체에서 계단형 pn 접합의 해석적 항복전압 모델 (Analytical Model of Breakdown Voltages for Abrupt pn Junctions in III-V Binary Semiconductors)

  • 정용성
    • 대한전자공학회논문지SD
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    • 제41권9호
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    • pp.1-9
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    • 2004
  • III-V족 반도체 GaP GaAs 및 InP의 계단형 pn 접합에서의 항복전압을 위한 해석적 식을 유도하였다. 해석적 항복전압을 위해 각 물질에 대한 이온화계수 파라미터를 이용하여 유효 이온화계수를 추출하였고, 이의 이온화 적분을 통해 얻은 해석적 항복전압 결과는 수치적 결과 및 실험 결과와 10% 오차 범위 이내로 잘 일치하였다.

온도를 고려한 GaAs $p^+n$접합의 해석적 항복 전압 (Analytic breakdown voltage as a function of temperature for GaAs $p^+n$ junction)

  • 정용성
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제48권4호
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    • pp.226-231
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    • 1999
  • Temperature dependence of effective ionization coefficients in GaAs is formulated as a single polynomial function of temperature, which allows analytical expressions for breakdown voltage of GaAs $p^+n$ junctions as a function of temperature. At 300 K, extracted effective ionization coefficient of GaAs $p^+n$ junction especially agrees well with the published result of <111> oriented GaAs. The analytic results agree with the simulation as well as the experimental ones reported within 10% in error for the doping concentrations in the range of $10_{14}cm_{-3}~10_{17}cm_{-3}$ at 100 K, 300 K and 500 K.

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4H-SiC ${p^+}$접합의 해석적 항복 전압 (Analytical Breakdown Voltage for 4H-SiC ${p^+}$ Junction)

  • 정용성
    • 대한전자공학회논문지SD
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    • 제39권1호
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    • pp.12-17
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    • 2002
  • 본 논문에서는 전자와 정공의 이온화 계수로부터 4H-SiC를 위한 유효 이온화 계수를 cㆍE/sup m/의 형태로 추출하였고, 이 유효 이온화 계수를 이용하여 4H-SiC p/sup +/n 접합에서의 항복시 임계 전계와 항복 전압을 위한 해석적 표현식을 유도하였다. 해석적 항복 전압 및 항복 전계 결과는 10/sup 15/㎝/sup -3/∼10/sup 18/㎝/sup -3/의 농도 범위에서 실험 결과와 비교하여 오차 범위 10% 이내로 잘 일치하였다.

Silicon Carbide 쇼트기 정류기의 모델링 (Modeling the Silicon Carbide Schottky Rectifiers)

  • 이유상;최연익;한민구
    • 대한전기학회논문지:전기물성ㆍ응용부문C
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    • 제49권2호
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    • pp.78-81
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    • 2000
  • The closed-form analytic solutions for the breakdown voltage of 6H-SiC RTD(silicon carbide reachthrough diode) having metal$-n^--n^+$ Schottky structure or $p^+-n^--n^+$, are successfully derived by solving impact ionization integral using an effective ionization coefficient. For the lightly doped n- epitaxial layer, the breakdown voltage of SiC RTD are nearly constant with the increased doping concentration while the breakdown voltages decrease for the heavily doped epitaxial layer.

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InP 다이오드에서 항복전압의 해석적 모델 (Analytical Model for Breakdown Voltages of InP Diodes)

  • 정용성
    • 전자공학회논문지 IE
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    • 제44권1호
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    • pp.10-14
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    • 2007
  • InP의 전자와 정공의 이온화계수로부터 추출한 유효이온화계수를 이용하여 InP 다이오드의 항복전압을 위한 해석적 표현식을 유도하였다. 해석적 항복전압 결과를 $N_D=6\times10^{14}cm^{-3}\sim3\times10^{17}cm^{-3}$의 도핑 농도에서 수치적 결과 및 실험 결과와 비교하였다. 각 농도에 따른 해석적 항복전압은 수치 해석적 결과와 매우 잘 일치하였고, 실험 결과와는 10% 이내의 오차로 잘 일치하였다.

CF4 기체에서의 전리와 부착계수 (Ionization and Attachment Coefficients in CF4)

  • 김상남
    • 전기학회논문지P
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    • 제60권1호
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    • pp.27-31
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    • 2011
  • In this paper, the electron transport characteristics in $CF_4$ has been analysed over the E/N range 1~300[Td] by a two-term approximation Boltzmann equation method and by a Monte Carlo simulation. The motion has been calculated to give swarm parameters for the electron drift velocity, longitudinal diffusion coefficient, the ratio of the diffusion coefficient to the mobility, electron ionization and attachment coefficients, effective ionization coefficient, mean energy, collision frequency and the electron energy distribution function. The electron energy distribution function has been analysed in $CF_4$ at E/N=5, 10, 100, 200 and 300[Td] for a case of the equilibrium region in the mean electron energy and respective set of electron collision cross sections. The results of Boltzmann equation and Monte Carlo simulation have been compared with experimental data by Y. Nakamura and M. Hayashi. The swarm parameter from the swarm study are expected to serve as a critical test of current theories of low energy electron scattering by atoms and molecules, in particular, as well as crucial information for quantitative simulations of weakly ionized plasmas.