After reviewing the work of sclerometry, this paper shows that yielding and relative softness are the mechanical basis of what should be called malacometry. The experiments have been made with diamond drills, ring cuts, end millers and grinding wheels.

Auerbach's "limited scope of the Mohs list" is quantitatively confirmed. The wear of diamonds is examined.

A program is carried out, for rotary or annular abrasion by diamond under three applications of energy, each progressively slower. A selected commercial talc is the control substance of softness value 100. The instruments used are synchronous motors, drill presses, wheel grinders, and watchmaker lathes. Some 200 minerals, woods, metals, glasses and plastics were originally measured. Hardness tables and curves are shown for comparison with volumetric abradability.

For a Mohs succession the softer substances abrade relatively more under higher energy of contact friction, and any one substance shows higher relative values under lower energy of attrition; in other words, under slower scratching. An artificially cut diamond octahedron gives more consistent results than a natural crystal, under light pressures.

Standard successions of relative abradability measurements do not hold good under different energies of attack. Functions of plasticity, brittleness, cleavage, powder lubricity, ductility and the like introduce various anomalies, and constancy of pressure varies with variable yielding. The supposition that rhythmic instrumental abrading will hold its mechanical constants, while the substance attacked yields in accord with its own surface molecular mobility relative to a control substance, is only approximately true. At low energies the approximation is better than at high, but at high speeds the wear of tool is less. Hence the advantage of using with slow speed a replaceable tool.

Substances of different categories such as steels and woods, differ in behavior from minerals.

The Mohs System has the great advantage of extending the controls from mineral to mineral up through the whole scale, and is purely qualitative. It is not numerically quantitative at all in terms of equal units. A principal result of this investigation is that 80 per cent of the Mohs Scale, Numbers 3 to 10, are by common consent within 1 per cent of a malacometric scale numbered 1 to 100. The scientists who determined this relation were the sclerometry investigators of the nineteenth century, who mistakenly thought that the wide intervals of sclerometry are between the hard minerals. They used the reciprocals of the measures of yielding.

The simple scratch tester finally arrived at is quite different from the instruments of Parts II and III. It eliminates diamond drilling, retains the Mohs controls and utilizes a dental grinding wheel and a modern low speed motor. The object of this research has been to design a simple instrument for many uses, especially for the mechanic's shop. It is planned for manufacture at an early date.

The author is indebted to Dr. Earl Ingerson, Chief, Geochemistry and Petrology Branch, for critical correction and approval of this paper, by authority of the Director, U. S. Geological Survey.