CHAPTER III.

THE LATER RESEARCHES. The first difficulty that faced us was the identification of the forms seen on focusing the sight on gases.[2] We could only proceed tentatively. Thus, a very common form in the air had a sort of dumb-bell shape (see Plate I); we examined this, comparing our rough sketches, and counted its atoms; these, divided by 18--the number of ultimate atoms in hydrogen--gave us 23.22 as atomic weight, and this offered the presumption that it was sodium. We then took various substances--common salt, etc.--in which we knew sodium was present, and found the dumb-bell form in all. In other cases, we took small fragments of metals, as iron, tin, zinc, silver, gold; in others, again, pieces of ore, mineral waters, etc., etc., and, for the rarest substances, Mr. Leadbeater visited a mineralogical museum. In all, 57 chemical elements were examined, out of the 78 recognized by modern chemistry. In addition to these, we found 3 chemical waifs: an unrecognized stranger between hydrogen and helium which we named occultum, for purposes of reference, and 2 varieties of one element, which we named kalon and meta-kalon, between xenon and osmium; we also found 4 varieties of 4 recognized elements and prefixed meta to the name of each, and a second form of platinum, that we named Pt. B. Thus we have tabulated in all 65 chemical elements, or chemical atoms, completing three of Sir William Crookes' lemniscates, sufficient for some amount of generalization. [Illustration: PLATE I. SODIUM.] In counting the number of ultimate atoms in a chemical elemental atom, we did not count them throughout, one by one; when, for instance, we counted up the ultimate atoms in sodium, we dictated the number in each convenient group to Mr. Jinarâjadâsa, and he multiplied out the total, divided by 18, and announced the result. Thus: sodium (_see_ Plate I) is composed of an upper part, divisible into a globe and 12 funnels; a lower part, similarly divided; and a connecting rod. We counted the number in the upper part: globe--10; the number in two or three of the funnels--each 16; the number of funnels--12; the same for the lower part; in the connecting rod--14. Mr. Jinarâjadâsa reckoned: 10 + (16 x 12) = 202; hence: 202 + 202 + 14 = 418: divided by 18 = 23.22 recurring. By this method we guarded our counting from any prepossession, as it was impossible for us to know how the various numbers would result on addition, multiplication and division, and the exciting moment came when we waited to see if our results endorsed or approached any accepted weight. In the heavier elements, such as gold, with 3546 atoms, it would have been impossible to count each atom without quite unnecessary waste of time, when making a preliminary investigation. Later, it may be worth while to count each division separately, as in some we noticed that two groups, at first sight alike, differed by 1 or 2 atoms, and some very slight errors may, in this way, have crept into our calculations. In the following table is a list of the chemical elements examined; the first column gives the names, the asterisk affixed to some indicating that they have not yet been discovered by orthodox chemistry. The second column gives the number of ultimate physical atoms contained in one chemical atom of the element concerned. The third column gives the weight as compared with hydrogen, taken as 18, and this is obtained by dividing the calculated number of ultimate atoms by 18. The fourth column gives the recognized weight-number, mostly according to the latest list of atomic weights, the "International List" of 1905, given in Erdmann's "Lehrbuch der Unorganischen Chemie." These weights differ from those hitherto accepted, and are generally lighter than those given in earlier text-books. It is interesting to note that our counting endorses the earlier numbers, for the most part, and we must wait to see if later observations will endorse the last results of orthodox chemistry, or confirm ours. -------------------------------------------- Hydrogen | 18 | 1 | 1 *Occultum | 54 | 3 | -- Helium | 72 | 4 | 3.94 Lithium | 127 | 7.06 | 6.98 Baryllium | 164 | 9.11 | 9.01 Boron | 200 | 11.11 | 10.86 Carbon | 216 | 12 | 11.91 Nitrogen | 261 | 14.50 | 14.01 Oxygen | 290 | 16.11 | 15.879 Fluorine | 340 | 18.88 | 18.90 Neon | 360 | 20 | 19.9 *Meta-Neon | 402 | 22.33 | -- Sodium | 418 | 23.22 | 22.88 Magnesium | 432 | 24 | 24.18 Aluminium | 486 | 27 | 26.91 Silicon | 520 | 28.88 | 28.18 Phosphorus | 558 | 31 | 30.77 Sulphur | 576 | 32 | 31.82 Chlorine | 639 | 35.50 | 35.473 Potassium | 701 | 38.944 | 38.85 Argon | 714 | 39.66 | 39.60 Calcium | 720 | 40 | 39.74 *Metargon | 756 | 42 | -- Scandium | 792 | 44 | 43.78 Titanium | 864 | 48 | 47.74 Vanadium | 918 | 51 | 50.84 Chromium | 936 | 52 | 51.74 Manganese | 992 | 55.11 | 54.57 Iron | 1008 | 56 | 55.47 Cobalt | 1036 | 57.55 | 57.7 Nickel | 1064 | 59.ll | 58.30 Copper | 1139 | 63.277 | 63.12 Zinc | 1170 | 65 | 64.91 Gallium | 1260 | 70 | 69.50 Germanium | 1300 | 72.22 | 71.93 Arsenic | 1350 | 75 | 74.45 Selenium | 1422 | 79 | 78.58 Bromine | 1439 | 79.944 | 79.953 Krypton | 1464 | 81.33 | 81.20 *Meta-Krypton | 1506 | 83.66 | -- Rubidium | 1530 | 85 | 84.85 Strontium | 1568 | 87.11 | 86.95 Yttrium | 1606 | 89.22 | 88.34 Zirconium | 1624 | 90.22 | 89.85 Niobium | 1719 | 95.50 | 93.25 Molybdenum | 1746 | 97 | 95.26 Ruthenium | 1848 | 102.66 | 100.91 Rhodium | 1876 | 104.22 | 102.23 Palladium | 1904 | 105.77 | 105.74 Silver | 1945 | 108.055 | 107.93 Cadmium | 2016 | 112 | 111.60 Indium | 2052 | 114 | 114.05 Tin | 2124 | 118 | 118.10 Antimony | 2169 | 120.50 | 119.34 Tellurium | 2223 | 123.50 | 126.64 Iodine | 2287 | 127.055 | 126.01 Xenon | 2298 | 127.66 | 127.10 *Meta-Xenon | 2340 | 130 | -- *Kalon | 3054 | 169.66 | -- *Meta-Kalon | 3096 | 172 | -- Osmium | 3430 | 190.55 | 189.55 Iridium | 3458 | 192.11 | 191.56 Platinum A | 3486 | 193.66 | 193.34 *Platinum B | 3514 | 195.22 | -- Gold | 3546 | 197 | 195.74 -------------------------------------------- [Illustration: PLATE II. MALE (left) and FEMALE (right).] As the words "ultimate physical atom" must frequently occur, it is necessary to state what we mean by the phrase. Any gaseous chemical atom may be dissociated into less complicated bodies; these, again, into still less complicated; these, again, into yet still less complicated. These will be dealt with presently. After the third dissociation but one more is possible; the fourth dissociation gives the ultimate physical atom.[3] This may vanish from the physical plane, but it can undergo no further dissociation on it. In this ultimate state of physical matter two types of atoms have been observed; they are alike in everything save the direction of their whorls and of the force which pours through them. In the one case force pours in from the "outside," from fourth-dimensional space,[4] and passing through the atom, pours into the physical world. In the second, it pours in from the physical world, and out through the atom into the "outside" again,[4] _i.e._, vanishes from the physical world. The one is like a spring, from which water bubbles out; the other is like a hole, into which water disappears. We call the atoms from which force comes out _positive_ or _male_; those through which it disappears, _negative_ or _female_. All atoms, so far as observed, are of one or other of these two forms. (Plate II.) It will be seen that the atom is a sphere, slightly flattened, and there is a depression at the point where the force flows in, causing a heart-like form. Each atom is surrounded by a field, formed of the atoms of the four higher planes, which surround and interpenetrate it. The atom can scarcely be said to be a "thing," though it is the material out of which all things physical are composed. It is formed by the flow of the life-force[5] and vanishes with its ebb. When this force arises in "space"[6]--the apparent void which must be filled with substance of some kind, of inconceivable tenuity--atoms appear; if this be artificially stopped for a single atom, the atom disappears; there is nothing left. Presumably, were that flow checked but for an instant, the whole physical world would vanish, as a cloud melts away in the empyrean. It is only the persistence of that flow[7] which maintains the physical basis of the universe.[8] In order to examine the construction of the atom, a space is artificially made[9]; then, if an opening be made in the wall thus constructed, the surrounding force flows in, and three whorls immediately appear, surrounding the "hole" with their triple spiral of two and a half coils, and returning to their origin by a spiral within the atom; these are at once followed by seven finer whorls, which following the spiral of the first three on the outer surface, and returning to their origin by a spiral within that, flowing in the opposite direction--form a caduceus with the first three. Each of the three coarser whorls, flattened out, makes a closed circle; each of the seven finer ones, similarly flattened out, makes a closed circle. The forces which flow in them, again, come from "outside," from a fourth-dimensional space.[10] Each of the finer whorls is formed of seven yet finer ones, set successively at right angles to each other, each finer than its predecessor; these we call spirillæ.[11] It will be understood from the foregoing, that the atom cannot be said to have a wall of its own, unless these whorls of force can be so designated; its "wall" is the pressed back "space." As said in 1895, of the chemical atom, the force "clears itself a space, pressing back the undifferentiated matter of the plane, and making to itself a whirling wall of this matter." The wall belongs to space, not to the atom. In the three whorls flow currents of different electricities; the seven vibrate in response to etheric waves of all kinds--to sound, light, heat, etc.; they show the seven colours of the spectrum; give out the seven sounds of the natural scale; respond in a variety of ways to physical vibration--flashing, singing, pulsing bodies, they move incessantly, inconceivably beautiful and brilliant.[12] The atom has--as observed so far--three proper motions, _i.e._, motions of its own, independent of any imposed upon it from outside. It turns incessantly upon its own axis, spinning like a top; it describes a small circle with its axis, as though the axis of the spinning top moved in a small circle; it has a regular pulsation, a contraction and expansion, like the pulsation of the heart. When a force is brought to bear upon it, it dances up and down, flings itself wildly from side to side, performs the most astonishing and rapid gyrations, but the three fundamental motions incessantly persist. If it be made to vibrate, as a whole, at the rate which gives any one of the seven colors, the whorl belonging to that color glows out brilliantly. [Illustration] An electric current brought to bear upon the atoms checks their proper motions, _i.e._, renders them slower; the atoms exposed to it arrange themselves in parallel lines, and in each line the heart-shaped depression receives the flow, which passes out through the apex into the depression of the next, and so on. The atoms always set themselves to the current. The well-known division of diamagnetic and paramagnetic depends generally on this fact, or on an analogous action on molecules, as may be seen in the accompanying diagrams.[13] Two atoms, positive and negative, brought near to each other, attract each other, and then commence to revolve round each other, forming a relatively stable duality; such a molecule is neutral. Combinations of three or more atoms are positive, negative or neutral, according to the internal molecular arrangement; the neutral are relatively stable, the positive and negative are continually in search of their respective opposites, with a view to establishing a relatively permanent union. Three states of matter exist between the atomic state and the gaseous--the state in which the chemical atoms are found, the recognized chemical elements; for our purposes we may ignore the liquid and solid states. For the sake of clearness and brevity in description, we have been obliged to name these states; we call the atomic state of the chemist _elemental_; the state which results from breaking up chemical elements, _proto-elemental_; the next higher, _meta-proto-elemental_; the next higher, _hyper-meta-proto-elemental_; then comes the atomic state. These are briefly marked as El., Proto., Meta., and Hyper.[14] The simplest unions of atoms, never, apparently consisting of more than seven, form the first molecular state of physical matter. [Illustration: TYPES OF HYPER-META-PROTO-ELEMENTAL MATTER.] Here are some characteristic combinations of the Hyper state; the atom is conventional, with the depression emphasised; the lines, always entering at the depression and coming out at the apex, show the resultants of lines of force; where no line appears entering the depression, the force wells up from fourth-dimensional space; where no line appears leaving the apex, the force disappears into fourth-dimensional space; where the point of entry and departure is outside the atoms, it is indicated by a dot.[15] The molecules show all kinds of possible combinations; the combinations spin, turn head over heels, and gyrate in endless ways. Each aggregation is surrounded with an apparent cell-wall, the circle or oval, due to the pressure on the surrounding matter caused by its whirling motion; they strike on each other[16] and rebound, dart hither and thither, for reasons we have not distinguished. [Illustration: TYPES OF META-PROTO-ELEMENTAL MATTER.] The Meta state, in some of its combinations, appears at first sight to repeat those of the Hyper state; the only obvious way of distinguishing to which some of the molecules of less complexity belong is to pull them out of the "cell-wall"; if they are Hyper molecules they at once fly off as separate atoms; if they are Meta molecules they break up into two or more molecules containing a smaller number of atoms. Thus one of the Meta molecules of iron, containing seven atoms, is identical in appearance with a Hyper heptad, but the latter dissociates into seven atoms, the former into two triads and a single atom. Long-continued research into the detailed play of forces and their results is necessary; we are here only able to give preliminary facts and details--are opening up the way. The following may serve as characteristic Meta types:-- These are taken from constituents of the various elements; 1 from Gl; 2 and 3 from Fe; 4 from Bo; 5, 6 and 7 from C; 8 from He; 9 from Fl; 10, 11, 12 from Li; 13 and 14 from Na. Others will be seen in the course of breaking up the elements. The Proto state preserves many of the forms in the elements, modified by release from the pressure to which they are subjected in the chemical atom. In this state various groups are thus recognizable which are characteristic of allied metals. [Illustration: TYPES OF PROTO-ELEMENTAL MATTER.] These are taken from the products of the first disintegration of the chemical atom, by forcibly removing it from its hole. The groups fly apart, assuming a great variety of forms often more or less geometrical; the lines between the constituents of the groups, where indicated, no longer represent lines of force, but are intended to represent the impression of form, _i.e._, of the relative position and motion of the constituents, made on the mind of the observer. They are elusive, for there are no lines, but the appearance of lines is caused by the rapid motion of the costituents up and down, or along them backwards and forwards. The dots represent atoms, or groups of atoms, within the proto-elements. 1 is found in C; 2 and 3 in He; 4 in Fl; 5 in Li; 6 in N; 7 in Ru; 8 in Na; 9 and 10 in Co; 11 in Fe; 12 in Se. We shall return to these when analysing the elements, and shall meet many other proto-elemental groupings. The first thing which is noticed by the observer, when he turns his attention to the chemical atoms, is that they show certain definite forms, and that within these forms, modified in various ways, sub-groupings are observable which recur in connexion with the same modified form. The main types are not very numerous, and we found that, when we arranged the atoms we had observed, according to their external forms, they fell into natural classes; when these, in turn, were compared with Sir William Crookes' classification, they proved to be singularly alike. Here is his arrangement of the elements, as it appeared in the _Proceedings of the Royal Society_, in a paper read on June 9th, 1898. [Illustration] This is to be read, following the lines of the "figures of eight": H, He, Li, Gl, B, C, N, and so on, each successive element being heavier than the one preceding it in order. The disks which fall immediately below each other form a class; thus: H, Cl, Br, I; these resemble each other in various ways, and, as we shall presently see, the same forms and groupings re-appear. Another chart--taken from Erdmann's _Lehrbuch_--arranges the elements on a curved line, which curiously resembles the curves within the shell of a nautilus. The radiating lines show the classes, the whole diameter building up a family; it will be observed that there is an empty radius between hydrogen and helium, and we have placed occultum there; on the opposite radius, iron, rubidium and osmium are seen. [Illustration] The external forms may be classified as follows; the internal details will be dealt with later :-- [Illustration: PLATE III.] 1. _The Dumb-bell._--The characteristics of this are a higher and lower group, each showing 12 projecting funnels, grouped round a central body, and a connecting rod. It appears in sodium, copper, silver, and gold,[17] and gold is given (1 on Plate III) as the most extremely modified example of this form. The 12 almond-like projections, above and below, are severally contained in shadowy funnels, impossible to reproduce in the drawing; the central globe contains three globes, and the connecting portion has swollen out into an egg, with a very complicated central arrangement. The dumb-bell appears also in chlorine, bromine and iodine, but there is no trace of it in hydrogen, the head of the group. We have not met it elsewhere. It may be remarked that, in Sir William Crookes' scheme, in which they are all classed as monads, these two groups are the nearest to the neutral line, on the ingoing and outgoing series, and are respectively positive and negative. II and IIa. _The Tetrahedron._--The characteristics of this form are four funnels, containing ovoid bodies, opening on the face of a tetrahedron. The funnels generally, but not always, radiate from a central globe. We give beryllium (glucinum) as the simplest example (2 on Plate III), and to this group belong calcium and strontium. The tetrahedron is the form of chromium and molybdenum, but not that of the head of their group, oxygen, which is, like hydrogen, _sui generis_. These two groups are marked in orthodox chemistry as respectively positive and negative, and are closely allied. Another pair of groups show the same tetrahedral form: magnesium, zinc and cadmium, positive; sulphur, selenium and tellurium, negative. Selenium is a peculiarly beautiful element, with a star floating across the mouth of each funnel; this star is extremely sensitive to light, and its rays tremble violently and bend if a beam of light falls on it. All these are dyads. The tetrahedron is not confined to the external form of the above atoms; it seems to be one of the favourite forms of nature, and repeatedly appears in the internal arrangements. There is one tetrahedron within the unknown element occultum; two appear in helium (3 on Plate III); yttrium has also two within its cube, as has germanium; five, intersecting, are found in neon, meta-neon, argon, metargon, krypton, meta-krypton, xenon, meta-xenon, kalon, meta-kalon, tin, titanium and zirconium. Gold contains no less than twenty tetrahedra.