### Abstract

A systematic investigation of a large number of practically feasible axial potential distributions was carried out with a subsequent reconstruction of the electrode systems producing such distributions. By using parametrized analytical functions and different curve-fitting techniques it was possible to find many potential distributions with both small spherical and chromatic aberrations. A cubic spline curve-fitting algorithm proved to be especially effective. The reconstruction of the electrode systems resulted in several new electrostatic ion lenses with excellent optical properties. As an example, a four-electrode electrostatic lens is presented with a voltage ratio of V//m//a//x/V//m//i//n equals 9, spherical aberration coefficient C//s//0/f//0 equals 0. 92 and chromatic aberration coefficient C//c//0/f//0 equals 0. 55 (both coefficients are referred to the object, related to the object side focal length and calculated for the case of infinite magnification). With an acceptance angle alpha //0 equals 5 mrad and magnification M equals 2. 58 a 10. 5 nm aberration disk diameter can be achieved. If alpha //0 equals 2 mrad, the disk diameter is 3 nm.

Original language | English (US) |
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Pages (from-to) | 1137-1140 |

Number of pages | 4 |

Journal | Journal of Vacuum Science and Technology B: Microelectronics and Nanometer Structures |

Volume | 1 |

Issue number | 4 |

DOIs | |

State | Published - Jan 1 1983 |

Externally published | Yes |

Event | Proc of the Int Symp on Electron, Ion, and Photon Beams - Los Angeles, CA, USA Duration: May 31 1983 → Jun 3 1983 |

### ASJC Scopus subject areas

- Condensed Matter Physics
- Electrical and Electronic Engineering