20 QUANTITATIVE AGRICULTURAL ANALYSIS difficult one to accomplish or if the material is far from being homogeneous; the grinding is carried much farther, in order to provide a very large surface of contact between the particle and the solution or flux, or in order to conform to the rule of maxi- mum size of particles, stated above. In many cases, as with minerals, the maximum size of particles is fixed by causing the sample to pass through a sieve having meshes of stated dimen- sions. A gold ore may be ground to pass a sieve having 100 or FIG. 3.—Division by quartering. 200 meshes to the linear inch. In such a case one should not make the mistake of grinding and sifting a portion until a suffi- cient quantity is passed, discarding the remainder. This would cause an error because the particles that resist grinding longest are less brittle and have a composition different from that of the particles which pulverize easily.