Convert from gnat's eye to angstrom

Unit Definition (gnat's eye)
The gnat's eye is an idiomatic "unit" of distance; it's common to hear that something is "as small as a gnat's eye". In fact, the eyes of typical gnats tend to have diameters similar in size to a hair's breadth: roughly 100-150 micrometers (0.10-0.15 millimeters).

Unit Definition (angstrom)
The Angstrom is a metric unit of length, equal to 0.1 nanometer or 10e-10 meter. Angstroms are most often used to measure the wavelength of light and are commonly used by chemists and physicists in the field of spectroscopy. One of the pioneers of spectroscopy was the Swedish physicist Anders Jon Ångström (1814-1874), after whom the unit is named.