Methods for determining mineral compositions of materials are described. The methods include obtaining elemental data associated with a geologic sample, calculating a measurement correlation matrix of the geologic sample from the elemental data, calculating an artificial correlation matrix, comparing the measurement correlation matrix and the artificial correlation matrix to determine an error value, minimizing the error value by updating the artificial correlation matrix and comparing the measurement correlation matrix to the updated artificial correlation matrix, and determining a mineral composition of the geologic sample based on the minimized measurement correlation matrix.

Provided herein are solid forms comprising (a) 4-amino-2-(2,6-dioxopiperidine-3-yl)isoindoline-1,3-dione and (b) a coformer. Pharmaceutical compositions comprising the solid forms (e.g., cocrystals) and methods for treating, preventing and managing various disorders are also disclosed.

Provided herein are solid forms comprising (a) 4-amino-2-(2,6-dioxopiperidine-3-yl)isoindoline-1,3-dione and (b) a coformer. Pharmaceutical compositions comprising the solid forms (e.g., cocrystals) and methods for treating, preventing and managing various disorders are also disclosed.

Methods for determining mineral compositions of materials are described. The methods include obtaining elemental data associated with a geologic sample, calculating a measurement correlation matrix of the geologic sample from the elemental data, calculating an artificial correlation matrix, comparing the measurement correlation matrix and the artificial correlation matrix to determine an error value, minimizing the error value by updating the artificial correlation matrix and comparing the measurement correlation matrix to the updated artificial correlation matrix, and determining a mineral composition of the geologic sample based on the minimized measurement correlation matrix.

Methods for determining mineral compositions of materials are described. The methods include obtaining elemental data associated with a geologic sample, calculating a measurement correlation matrix of the geologic sample from the elemental data, calculating an artificial correlation matrix, comparing the measurement correlation matrix and the artificial correlation matrix to determine an error value, minimizing the error value by updating the artificial correlation matrix and comparing the measurement correlation matrix to the updated artificial correlation matrix, and determining a mineral composition of the geologic sample based on the minimized measurement correlation matrix.

Methods and systems are provided for serial femtosecond crystallography for reducing the vast amount of waste of injected crystals practiced with traditional continuous flow injections. A micrometer-scale 3-D printed water-in-oil droplet generator device includes an oil phase inlet channel, an aqueous phase inlet channel, a droplet flow outlet channel, and two embedded non-contact electrodes. The inlet and outlet channels are connected internally at a junction. The electrodes comprise gallium metal injected within the 3-D printed device. Voltage across the electrodes generates water-in-oil droplets, determines a rate for a series of droplets, or triggers a phase shift in the droplets. An external trigger generates the droplets based on the frequency of an XFEL utilized in droplet detection, thereby synchronizing a series of droplets with x-ray pulses for efficient crystal detection. The generated droplets can be coupled to an SFX with XFEL experiment compatible with common liquid injector such as a GDVN.

Provided herein are solid forms comprising (a) 4-amino-2-(2,6-dioxopiperidine-3-yl)isoindoline-1,3-dione and (b) a coformer. Pharmaceutical compositions comprising the solid forms (e.g., cocrystals) and methods for treating, preventing and managing various disorders are also disclosed.

Provided herein are solid forms comprising (a) 4-amino-2-(2,6-dioxopiperidine-3-yl)isoindoline-1,3-dione and (b) a coformer. Pharmaceutical compositions comprising the solid forms (e.g., cocrystals) and methods for treating, preventing and managing various disorders are also disclosed.

Methods and systems are provided for serial femtosecond crystallography for reducing the vast amount of waste of injected crystals practiced with traditional continuous flow injections. A micrometer-scale 3-D printed water-in-oil droplet generator device includes an oil phase inlet channel, an aqueous phase inlet channel, a droplet flow outlet channel, and two embedded non-contact electrodes. The inlet and outlet channels are connected internally at a junction. The electrodes comprise gallium metal injected within the 3-D printed device. Voltage across the electrodes generates water-in-oil droplets, determines a rate for a series of droplets, or triggers a phase shift in the droplets. An external trigger generates the droplets based on the frequency of an XFEL utilized in droplet detection, thereby synchronizing a series of droplets with x-ray pulses for efficient crystal detection. The generated droplets can be coupled to an SFX with XFEL experiment compatible with common liquid injector such as a GDVN.

The present invention provides a method to calculate refinement parameters from an observed diffraction pattern for powder samples accurately. A method to calculate a best solution of the crystal structural parameters from a diffraction pattern, comprising: a third calculating step of the converged values 600 to calculate at least three converged values; a third judging step of the best converged values 700 to calculate at least three criteria from the peak-shift parameters in the converged values and to judge whether the converged values are a true solution of not by using the criteria; and a first calculating step of a global solution 800 to calculate a global solution of which is the true value by using the criteria.