IV.

Silver (Plate VI, 4 and Ag below).

Silver presents us with only two new bodies, and even these are only new by slight additions to old models. The triangular shaped body at the apex of the funnel, containing 21 atoms, is intermediate between the similar bodies in copper and iron. As a proto-element it becomes three triangles, joined at their apices, in fact a tetrahedron in which no atoms are distributed on the fourth face. The faces separate on the meta level and give three seven-atomed figures, and each of these breaks up into two triplets and a unit. The central globe only differs from that of bromine by the addition of one atom, which gives the familiar four-sided pyramid with a square base as in chlorine (see p. 46).

Gold (Plate VII and Au below).

The disintegration of gold first yields forty-seven bodies on the proto-level; the twenty-four funnels separate, and the central globes which hold each twelve together set free their six contained globes (c, d), thirty bodies being thus liberated. The sixteen bodies on the central inclined planes, marked b, break away, their central globe, with its four contained globes, remaining unchanged. But this condition does not last. The motion of the funnels changes and thus the funnels cease to exist and their contents are set free, each funnel thus liberating nine independent bodies; the sixteen b separate into two each; the four a liberate five each; the two c set free thirteen each; the four d finally liberate two each: 302 proto elements in all.

The funnel is almost that of iodine, re-arranged. Four of the first ring in the iodine funnel are replaced by the triangular body, which becomes a four-sided pyramid with an occupied base. The second ring of three ovoids in iodine becomes four in gold, but the internal arrangement of each ovoid is the same. The next two spheres in the iodine funnel coalesce into one sphere, with similar contents, in the gold funnel. The fifth in iodine is slightly rearranged to form the fourth in descent in gold, and the remaining two are the same. B has been broken up under occultum (p. 628) and can be followed there. The sixteen rings set free from the four a, after gyrating round the central body, now become a sphere, break up, as in occultum (see p. 44) into a meta seven-atomed ring and an eight-atomed double cross, and so on to the hyper level. The sphere with its two contained bodies breaks up into eight triangles on the meta level, and each of these, on the hyper, into a duad and a unit. The twelve septets of c assume the form of prisms as in iodine (see p. 48) and pursue the same course, while its central body, a four-sided pyramid with its six attendants, divides on the meta level into six duads, revolving round a ring with a central atom as in chlorine (p. 47), the duads going off independently on the hyper-level and the ring breaking up as in chlorine. The "cigar" tetrahedron of d follows its course as in occultum, and the other sets free two quartets and two triplets on the meta level, yielding six duads and two units as hyper compounds. It will be seen that, complex as gold is, it is composed of constituents already familiar, and has iodine and occultum as its nearest allies.

II and IIa.—The Tetrahedral Groups.

II.—This group consists of beryllium (glucinum), calcium, strontium and barium, all diatomic, paramagnetic and positive. The corresponding group consists of oxygen, chromium, molybdenum, wolfram (tungsten) and uranium, with a blank disk between wolfram and uranium: these are diatomic, paramagnetic, and negative. We have not examined barium, wolfram, or uranium.

BERYLLIUM: 4 funnels of 40 atoms 160 Central globe 4 ---- Total 164 ---- Atomic weight 9.01 Number weight 164/18 9.11

CALCIUM: 4 funnels of 160 atoms 640 Central globe 80 ---- Total 720 ---- Atomic weight 39.74 Number weight 720/18 40.00

STRONTIUM: 4 funnels of 368 atoms 1472 Central globe 96 ---- Total 1568 ---- Atomic weight 86.95 Number weight 1568/18 87.11

The corresponding group, headed by oxygen—oxygen, chromium, molybdenum, wolfram and uranium—offers us another problem in its first member.

OXYGEN: Positive snake { 55 spheres of 2 atoms } { + 5 disks of 7 atoms } 145 Negative snake " 145 ---- Total 290 ---- Atomic weight 15.87 Number weight 290/18 16.11

CHROMIUM: 4 funnels of 210 atoms 840 Central globe 96 ----- Total 936 ----- Atomic weight 51.74 Number weight 936/18 52.00

MOLYBDENUM: 4 funnels of 408 atoms 1632 Central globe 98 ----- Total 1730 ----- Atomic weight 95.26 Number weight 1730/18 96.11

II a.—This group contains magnesium, zinc, cadmium, and mercury, with an empty disk between cadmium and mercury; we did not examine mercury. All are diatomic, diamagnetic and positive; the corresponding group consists of sulphur, selenium and tellurium, also all diatomic and diamagnetic, but negative. The same characteristics of four funnels opening on the faces of a tetrahedron are found in all, but magnesium and sulphur have no central globe, and in cadmium and tellurium the globe has become a cross.

MAGNESIUM: 4 funnels of 108 atoms 432 Atomic weight 24.18 Number weight 432/18 24.00

ZINC: 4 funnels of 144 atoms 576 4 spikes of 144 atoms 576 Central globe 18 ----- Total 1170 ----- Atomic weight 64.91 Number weight 1170/18 65.00

CADMIUM: 3 segments of 164 atoms = 492 4 funnels of 492 atoms 1968 Central body 48 ----- Total 2016 ----- Atomic weight 111.60 Number weight 2016/18 112.00

The corresponding negative group is headed by

SULPHUR: 4 funnels of 144 atoms 576 Atomic weight 31.82 Number weight 576/18 32.00

SELENIUM: 4 funnels of 198 atoms 792 4 stars of 153 atoms 612 Central globe 18 ----- Total 1422 ----- Atomic weight 78.58 Number weight 1422/18 79.00

TELLURIUM: 3 segments of 181 atoms = 543 4 funnels of 543 atoms 2172 Central body 51 ----- Total 2223 ----- Atomic weight 126.64 Number weight 2223/18 123.50