or cohesive force which tends to unite them, and also by a repulsive force-probably caloric, the principle of heat-which tends to separate them. The intensity of these forces decreases rapidly, as the distance between the atoms augments, and becomes altogether insensible as soon as that distance has acquired a sensible magnitude. The particles of matter are so small, that nothing is known of their form further than the dissimilarity of their different sides in certain cases, which appears from their reciprocal attractions during crystallization being more or less powerful, according to the sides they present to one another. It is evident that the density of substances will depend upon the ratio which the opposing forces of cohesion and repulsion bear to one another.

When particles of the same kind of matter are at such distances from each other, that the cohesion which retains them is insensible, the repulsive principle remains unbalanced, and the particles have a tendency to fly from one another, as in aëriform fluids. If the particles approach sufficiently near to produce equilibrium between the attractive and repulsive forces, but not near enough to admit of any influence from their form, perfect mobility will exist among them, resulting from the similarity of their attractions, and they will offer great resistance when compressed, properties which characterize fluids, in which the repulsive principle

is greater than in the gases. When the distance between the particles is still less, solids are formed in consequence of the preponderating force of cohesion; but the nature of their structure will vary, because, at such small distances, the power of the mutual attraction of the particles will depend upon their form, and will be modified by the sides they present to one another during their aggregation.

All the phenomena of capillary attraction depend upon the cohesion of the particles of matter. If a glass tube of extremely fine bore, such as a small thermometer-tube, be plunged into a cup of water or alcohol, the liquid will immediately rise in the tube above the level of that in the cup, and the surface of the little column thus suspended will be concave. If the same tube be plunged into a cup full of mercury, the liquid will also rise in the tube, but it will never attain the level of that in the cup, and its surface will be convex. The elevation or depression of the same liquid in different tubes of the same matter is in the inverse ratio of their internal diameters, and altogether independent of their thickness. Whence it follows that the molecular action is insensible at sensible distances, and that it is only the thinnest possible film of the interior surface of the tubes that exerts a sensible

action on the liquid. So much indeed is this the case, that, when tubes of the same bore are com

pletely wetted with water throughout their whole extent, mercury will rise to the same height in all of them, whatever be their thickness or density, because the minute coating of moisture is sufficient to remove the internal column of mercury beyond the sphere of attraction of the tube, and to supply the place of a tube by its own capillary attraction. The forces which produce the capillary phenomena are the reciprocal attraction of the tube and the liquid, and of the liquid particles to one another; and in order that the capillary column may be in equilibrio, the weight of that part of it which rises above or sinks below the level of the liquid in the cup must balance these forces.

The estimation of the action of the liquid is a difficult part of this problem. La Place, Dr. Young, and other mathematicians, have considered the liquid within the tube to be of uniform density; but Poisson, in one of those masterly productions in which he elucidates the most abstruse subjects, has recently proved that the phenomena of capillary. attraction depend upon a rapid decrease in the density of the liquid column throughout an extremely small space at its surface. Every indefinitely thin layer of a liquid is compressed by the liquid above it, and supported by that below; its degree of condensation depends upon the magnitude of the compressing force, and as this force decreases rapidly towards the surface, where it vanishes, the

density of the liquid decreases also. M. Poisson has shown that, when this force is omitted, the capillary surface becomes plane, and that the liquid in the tube will neither rise above nor sink below the level of that in the cup; but, in estimating the forces, it is also necessary to include the variation in the density of the capillary surface round the edges, from the attraction of the tube.

The direction of the resulting force determines the curvature of the surface of the capillary column. In order that a liquid may be in equilibrio, the force resulting from all the forces acting upon it must be perpendicular to the surface. Now, it appears that, as glass is more dense than water or alcohol, the resulting force will be inclined towards the interior side of the tube, therefore the surface of the liquid must be more elevated next the sides of the tube than in the centre, in order to be perpendicular to it, so that it will be concave, as in the thermometer. But as glass is less dense than mercury, the resulting force will be inclined from the interior side of the tube, so that the surface of the capillary column must be more depressed next the sides of the tube than in the centre, in order to be perpendicular to it, and is consequently convex, as may be perceived in the mercury of the barometer when rising. The absorption of moisture by sponges, sugar, salt, &c., are familiar examples of capillary attraction; indeed the pores of sugar are so minute, that there seems

to be no limit to the ascent of the liquid. The phenomena arising from the force of cohesion are innumerable: the spherical form of rain-drops and shot, the rise of liquids between plane surfaces, the difficulty of detaching a plate of glass from the surface of water, the force with which two plane surfaces adhere when pressed together, are all effects of cohesion, entirely independent of atmospheric pressure, and are included in the same analytical formulæ, which express all the circumstances accurately, although the law according to which the forces of cohesion and repulsion vary is unknown, except that they only extend to insensible distances.

The difference between the forces of cohesion and repulsion is called molecular force, and, when modified by the electrical state of the particles, is the general cause of chemical affinities, which only take place between particles of different kinds of matter, though not under all circumstances. Two substances may indeed be mixed, but they will not combine to form a third substance different from both, unless their component particles unite in definite proportions. That is to say-one volume of one of the substances will unite with one volume of the other, or with two volumes, or with three, &c., so as to form a new substance, but in any other proportions it will only form a mixture of the two. For example, one volume of hydrogen gas will combine with eight volumes of oxygen, and form water; or