46 PAINTING MATERIALS great extent the fineness of the pigment. The oil absorption factor being relative to the surface conditions of the pigment is independent of its chemical composi- tion or specific gravity/ Williamson observes: ' The fact that no simple relation- ship exists between oil absorption and consistency is explained as follows: Two factors which act in opposition to each other—i.e., degree of wetting and soap formation—control the values obtained from oil-absorption measurements, whereas the consistency of the ground pastes is controlled by soap formation alone.' By empirical methods Wolff and his collaborators have derived a mathe- matical expression for the consistency of a paint as a function of pigment con- centration, and from this they calculate the critical oil content of paints. They have found that this critical point indicates the pigment-fixed binder ratio which yields the optimum paint properties from the point of view of drying, water resistance, etc. Elm ('Fundamental Studies of Paints') has studied experiment- ally the relationship which exists between the critical point of a paint as deter- mined according to Wolffs method and the durability of the same system on exterior exposure. Results showed that the critical point falls within the range of pigment concentrations yielding good durability, and the conclusion that paint durability is a function of paint consistency seems justified. There are other factors besides pigment-vehicle ratio which affect the durability of a paint. J. Schmidt says that for each pigment there is an optimum acid value for the oil used in grinding and that this affects working quality and permanence. Oils, yellowing. All fatty oils (see Oils and Fats) have a tendency to yellow with time; darkness and dampness increase this tendency and it is also acceler- ated by certain pigments. It varies with different oils and somewhat, also, with the particular sample and. the treatment it has received. Poppy and walnut oil have, in general, less tendency to yellow than has linseed oil. Cold-pressed linseed oil yellows more than oil that has been thickened in the sun, but stand oil (see Polymerized Oil) is superior to both. Impurities may tend to increase yellowing, but complete removal of them does not remove the tendency, for pure, synthetic trilinolenic glyceride turns color badly. Furthermore, the yellowing of an oil is independent of the free acid content. Various vegetable oils turn yellow, to some extent, according to degree of unsaturation. Other things being equal, the least unsaturated oil, that is, the oil with the lowest iodine number, has the best color retention. Polymerization of oils reduces their iodine numbers and makes them less susceptible to yellowing. This is especially true if they are heated in an inert atmosphere, such as nitrogen or carbon dioxide, so as to prevent the formation of oxidation products. The nature of the chemical change that causes yellowing is not known. It is well known, however, that drying oils yellow more readily in the dark than when exposed to light. In fact, films that have become badly yellowed after storage in the dark may be partially bleached when exposed to the light. Werthan, Elm, and Wien (p. 775) found that white linseed oil paints yellowed more in red light than in blue light and, hence, wave-length of light seems to be a factor.