A method for in-situ joint nanoscale three-dimensional imaging and chemical analysis of a sample. A single charged particle beam device is used for generating a sequence of two-dimensional nanoscale images of the sample, and for sputtering secondary ions from the sample, which are analysed using a secondary ion mass spectrometry device. The two-dimensional images are combined into a three-dimensional volume representation of the sample, the data of which is combined with the results of the chemical analysis.

A method for in-situ joint nanoscale three-dimensional imaging and chemical analysis of a sample. A single charged particle beam device is used for generating a sequence of two-dimensional nanoscale images of the sample, and for sputtering secondary ions from the sample. which are analysed using a secondary ion mass spectrometry device. The two-dimensional images are combined into a three-dimensional volume representation of the sample, the data of which is combined with the results of the chemical analysis.

A method of calculating an electronic state of a material by using a calculation device, wherein the calculation device sets a set containing, as elements, a plurality of operation models, where each of operation models provides an approximate solution to the electronic state of the material, determines an optimized operation model that are close in distance in a space formed by the set while defining a direction in which the calculated self-consistent solutions of the effective Hamiltonian of an electron system continuously change, evaluates a variational energy of the electron system by the self-consistent solution, updates the operation model so that the evaluated variational energy approaches an energy of an exact solution to be calculated and further, so that the variational energy forms a monotonically decreasing convex function, and calculates the exact solution of the electronic state from one or a plurality of variational energy series.

A method for in-situ joint nanoscale three-dimensional imaging and chemical analysis of a sample. A single charged particle beam device is used for generating a sequence of two-dimensional nanoscale images of the sample, and for sputtering secondary ions from the sample, which are analysed using a secondary ion mass spectrometry device. The two-dimensional images are combined into a three-dimensional volume representation of the sample, the data of which is combined with the results of the chemical analysis.

A method for mixed signal synchronization for a charged particle column includes generating an optical pulse signal from a light source that emits a light beam pulse towards a sample within the charged particle column, generating a radio frequency (RF) signal associated with a RF cavity that pulses a charged particle beam towards the sample, generating a composite signal using at least the RF signal and the optical pulse signal, and controlling, based at least in part on the composite signal, at least one of i) the light source or ii) RF signals for the RF cavity such that light beam pulses and charged particle beam pulses are synchronized at the sample.

A method for characterization of a light beam within a charged particle column, the method comprising: directing a light beam pulse towards a sample within the charged particle column; directing a charged particle beam pulse towards the sample; detecting charged particles that, based at least in part on the light beam pulse and the charged particle beam pulse, interacted with the sample; determining a time delay between the charged particle beam pulse and the light beam pulse based at least in part on the charged particles; and determining at least one characteristic of the light beam pulse based at least in part on the time delay.