An electron beam shaping unit for use in electron beam column and a method for designing thereof is presented. The electron beam shaping unit is configured for affecting electron beams of high density or strong electron-electron repulsion. These 5 beams can always be modeled with multi electron wave function. The electron beam shaping unit comprises a mask unit configured for affecting propagation of electrons therethrough to thereby form a propagating electron beam having, at far field, radial shape as determined by multi-electron non-linear function being an eigen function determined by a multi-electron Hartree-Fock Hamiltonian.

A multi-charged particle beam writing apparatus according to one aspect of the present invention includes a region setting unit configured to set, as an irradiation region for a beam array to be used, the region of the central portion of an irradiation region for all of multiple beams of charged particle beams implemented to be emittable by a multiple beam irradiation mechanism, and a writing mechanism, including the multiple beam irradiation mechanism, configured to write a pattern on a target object with the beam array in the region of the central portion having been set in the multiple beams implemented.

A method for examining a specimen surface with a probe of a scanning probe microscope, the specimen surface having an electrical potential distribution. The method includes (a) determining the electrical potential distribution of at least one first partial region of the specimen surface; and (b) modifying the electrical potential distribution in the at least one first partial region of the specimen surface and/or modifying an electrical potential of the probe of the scanning probe microscope before scanning at least one second partial region of the specimen surface.

A method for examining a specimen surface with a probe of a scanning probe microscope, the specimen surface having an electrical potential distribution. The method includes (a) determining the electrical potential distribution of at least one first partial region of the specimen surface; and (b) modifying the electrical potential distribution in the at least one first partial region of the specimen surface and/or modifying an electrical potential of the probe of the scanning probe microscope before scanning at least one second partial region of the specimen surface.