2NH3 = N2 + 3H2

represents the decomposition of ammonia gas into nitrogen and hydrogen

gases by the electric spark, and it not only conveys the information

that a certain relative weight of ammonia, consisting of certain

relative weights of hydrogen and nitrogen, is broken up into certain

relative weights of hydrogen and nitrogen, but also that the nitrogen

will be contained in half the space which contained the ammonia, and

that the volume of the hydrogen will be one and a half times as great as

that of the original ammonia, so that in the decomposition of ammonia

the volume becomes doubled.

Formulae which merely express the relative number of atoms of the

different elements present in a compound are termed _empirical

formulae_, and the formulae of all compounds whose molecular weights are

undetermined are necessarily empirical. The _molecular formula_ of a

compound, however, is always a simple multiple of the empirical formula,

if not identical with it; thus, the empirical formula of acetic acid is

CH2O, and its molecular formula is C2H4O2, or twice CH2O. In addition to

empirical and molecular formulae, chemists are in the habit of employing

various kinds of rational formulae, called structural, constitutional or

graphic formulae, &c., which not only express the molecular composition

of the compounds to which they apply, but also embody certain

assumptions as to the manner in which the constituent atoms are

arranged, and convey more or less information with regard to the nature

of the compound itself, viz. the class to which it belongs, the manner

in which it is formed, and the behaviour it will exhibit under various

circumstances. Before explaining these formulae it will be necessary,

however, to consider the differences in combining power exhibited by the

various elements.

_Valency._--It is found that the number of atoms of a given element, of

chlorine, for example, which unite with an atom of each of the other

elements is very variable. Thus, hydrogen unites with but a single atom

of chlorine, zinc with two, boron with three, silicon with four,

phosphorus with five and tungsten with six. Those elements which are

equivalent in combining or displacing power to a single atom of hydrogen

are said to be _univalent_ or _monad_ elements; whilst those which are

equivalent to two atoms of hydrogen are termed bivalent or dyad

elements; and those equivalent to three, four, five or six atoms of

hydrogen triad, tetrad, pentad or hexad elements. But not only is the

combining power or valency (atomicity) of the elements different, it is

also observed that one element may combine with another in several

proportions, or that its valency may vary; for example, phosphorus forms

two chlorides represented by the formulae PCl3 and PCl5, nitrogen the

series of oxides represented by the formulae N2O, NO, (N2O3), N2O4,

N2O5, molybdenum forms the chlorides MoCl2, MoCl3, MoCl4, MoCl5,

MoCl6(?), and tungsten the chlorides WCl2, WCl4, WCl5, WCl6.

In explanation of these facts it is supposed that each element has a

certain number of "units of affinity," which may be entirely, or only in

part, engaged when it enters into combination with other elements; and

in those cases in which the entire number of units of affinity are not

engaged by other elements, it is supposed that those which are thus

disengaged neutralize each other, as it were. For example, in phosphorus

pentachloride the five units of affinity possessed by the phosphorus

atom are satisfied by the five monad atoms of chlorine, but in the

trichloride two are disengaged, and, it may be supposed, satisfy each

other. Compounds in which all the units of affinity of the contained

elements are engaged are said to be _saturated_, whilst those in which

the affinities of the contained elements are not all engaged by other

elements are said to be _unsaturated_. According to this view, it is

necessary to assume that, in all unsaturated compounds, two, or some

even number of affinities are disengaged; and also that all elements

which combine with an even number of monad atoms cannot combine with an

odd number, and vice versa,--in other words, that the number of units of

affinity active in the case of any given element must be always either

an even or an odd number, and that it cannot be at one time an even and

at another an odd number. There are, however, a few remarkable

exceptions to this "law." Thus, it must be supposed that in nitric

oxide, NO, an odd number of affinities are disengaged, since a single

atom of dyad oxygen is united with a single atom of nitrogen, which in

all its compounds with other elements acts either as a triad or pentad.

When nitric peroxide, N2O4, is converted into gas, it decomposes, and at

about 180 deg. C. its vapour entirely consists of molecules of the

composition NO2; while at temperatures between this and 0 deg. C. it

consists of a mixture in different proportions of the two kinds of

molecules, N2O4 and NO2. The oxide NO2 must be regarded as another

instance of a compound in which an odd number of affinities of one of

the contained elements are disengaged, since it contains two atoms of

dyad oxygen united with a single atom of triad or pentad nitrogen.

Again, when tungsten hexachloride is converted into vapour it is

decomposed into chlorine and a pentachloride, having a normal vapour

density, but as in the majority of its compounds tungsten acts as a

hexad, we apparently must regard its pentachloride as a compound in

which an odd number of free affinities are disengaged. Hitherto no

explanation has been given of these exceptions to what appears to be a

law of almost universal application, viz. that the sum of the units of

affinity of all the atoms in a compound is an even number.

The number of units of affinity active in the case of any particular

element is largely dependent, however, upon the nature of the element or

elements with which it is associated. Thus, an atom of iodine only

combines with one of hydrogen, but may unite with three of chlorine,

which never combines with more than a single atom of hydrogen; an atom

of phosphorus unites with only three atoms of hydrogen, but with five of

chlorine, or with four of hydrogen and one of iodine; and the chlorides

corresponding to the higher oxides of lead, nickel, manganese and

arsenic, PbO2, Ni2O3, MnO2 and AS2O5 do not exist as stable compounds,

but the lower chlorides, PbCl2, NiCl2, MnCl2 and AsCl3, are very stable.

The valency of an element is usually expressed by dashes or Roman

numerals placed on the right of its symbol, thus: H', O'', B''', C^{IV},

P^V, Mo^{VI}; but in constructing graphic formulae the symbols of the

elements are written with as many lines attached to each symbol as the

element which it represents has units of affinity.

The periodic law (see ELEMENT) permits a grouping of the elements

according to their valency as follows:--Group O.: helium, neon, argon,

krypton and xenon appear to be devoid of valency. Group I.: the alkali

metals Li, Na, K, Rb, Cs, and also Ag, monovalent; Cu, monovalent and

divalent; Au, monovalent and trivalent. Group II.: the alkaline earth

metals Ca, Sr, Ba, and also Be (Gl), Mg, Zn, Cd, divalent; Hg,

monovalent and divalent. Group III.: B, trivalent; Al, trivalent, but

possibly also tetra- or penta-valent; Ga, divalent and trivalent; In,

mono-, di- and tri-valent; Tl, monovalent and trivalent. Group IV.: C,

Si, Ge, Zr, Th, tetravalent; Ti, tetravalent and hexavalent; Sn, Pb,

divalent and tetravalent; Ce, trivalent and tetravalent. Group V.: N,

trivalent and pentavalent, but divalent in nitric oxide; P, As, Sb, Bi,

trivalent and pentavalent, the last being possibly divalent in BiO and

BiCl2. Group VI.: O, usually divalent, but tetravalent and possibly

hexavalent in oxonium and other salts; S, Se, Te, di-, tetra- and

hexa-valent; Cr, di-, tri- and hexa-valent; Mo, W, di-, tri-, tetra-,

penta- and hexa-valent. Group VII.: H(?), monovalent; the halogens F,

Cl, Br, I, usually monovalent, but possibly also tri- and pentavalent;

Mn, divalent and trivalent, and possibly heptavalent in permanganates.

Group VIII.: Fe, Co, divalent and trivalent; Ni, divalent; Os, Ru,

hexavalent and octavalent; Pd, Pt, divalent and tetravalent; Ir, tri-,

tetra- and hexa-valent. (See also VALENCY.)

_Constitutional Formulae._--Graphic or constitutional formulae are

employed to express the manner in which the constituent atoms of

compounds are associated together; for example, the trioxide of sulphur

is usually regarded as a compound of an atom of hexad sulphur with three

atoms of dyad oxygen, and this hypothesis is illustrated by the graphic

formula

O

//

O=S

\\

O .

When this oxide is brought into contact with water it combines with it

forming sulphuric acid, H2SO4.

In this compound only two of the oxygen atoms are wholly associated with

the sulphur atom, each of the remaining oxygen atoms being united by one

of its affinities to the sulphur atoms, and by the remaining affinity to

an atom of hydrogen; thus--

H.O O

\ //

S

/ \\

H.O O .

The graphic formula of a sulphate is readily deduced by remembering that

the hydrogen atoms are partially or entirely replaced. Thus acid sodium

sulphate, normal sodium sulphate, and zinc sulphate have the formulae

Na.O O Na.O O O O

\ // \ // / \ //

S S Zn S

/ \\ / \\ \ / \\

H.O O , Na.O O , O O .

Again, the reactions of acetic acid, C2H4O2, show that the four atoms of

hydrogen which it contains have not all the same function, and also that

the two atoms of oxygen have different functions; the graphic formula

which we are led to assign to acetic acid, viz.

O

H //

H.C--C

. \

H O.H

serves in a measure to express this, three of the atoms of hydrogen

being represented as associated with one of the atoms of carbon, whilst

the fourth atom is associated with an atom of oxygen which is united by

a single affinity to the second atom of carbon, to which, however, the

second atom of oxygen is united by both of its affinities. It is not to

be supposed that there are any actual _bonds_ of union between the

atoms; graphic formulae such as these merely express the hypothesis that

certain of the atoms in a compound come directly within the sphere of

attraction of certain other atoms, and only indirectly within the sphere

of attraction of others,--an hypothesis to which chemists are led by

observing that it is often possible to separate a group of elements from

a compound, and to displace it by other elements or groups of elements.

Rational formulae of a much simpler description than these graphic

formulae are generally employed. For instance, sulphuric acid is usually

represented by the formula SO2(OH)2, which indicates that it may be

regarded as a compound of the group SO2 with twice the group OH. Each of

these OH groups is equivalent in combining or displacing power to a

monad element, since it consists of an atom of dyad oxygen associated

with a single atom of monad hydrogen, so that in this case the SO2 group

is equivalent to an atom of a dyad element. This formula for sulphuric

acid, however, merely represents such facts as that it is possible to

displace an atom of hydrogen and an atom of oxygen in sulphuric acid by

a single atom of chlorine, thus forming the compound SO3HCl; and that by

the action of water on the compound SO2Cl2 twice the group OH, or water

minus an atom of hydrogen, is introduced in place of the two monad atoms

of chlorine--

SO2Cl2 + 2HOH = SO2(OH)2 + 2HCl.

Water. Sulphuric acid.

Constitutional formulae like these, in fact, are nothing more than

symbolic expressions of the character of the compounds which they

represent, the arrangement of symbols in a certain definite manner being

understood to convey certain information with regard to the compounds

represented.

Groups of two or more atoms like SO2 and OH, which are capable of

playing the part of elementary atoms (that is to say, which can be

transferred from compound to compound), are termed compound radicals,

the elementary atoms being simple radicals. Thus, the atom of hydrogen

is a monad simple radical, the atom of oxygen a dyad simple radical,

whilst the group OH is a monad compound radical.

It is often convenient to regard compounds as formed upon certain types;

alcohol, for example, may be said to be a compound formed upon the water

type, that is to say, a compound formed from water by displacing one of

the atoms of hydrogen by the group of elements C2H5, thus--

{ H { C2H5

O { O {

{ H { H

Water Alcohol.

Constitutional formulae become of preponderating importance when we

consider the more complicated inorganic and especially organic

compounds. Their full significance is treated in the section of this

article dealing with organic chemistry, and in the articles ISOMERISM

and STEREO-ISOMERISM.

_Chemical Action._--Chemical change or chemical action may be said to

take place whenever changes occur which involve an alteration in the

composition of molecules, and may be the result of the action of agents

such as heat, electricity or light, or of two or more elements or

compounds upon each other.

Three kinds of changes are to be distinguished, viz. changes which

involve combination, changes which involve decomposition or separation,

and changes which involve at the same time both decomposition and

combination. Changes of the first and second kind, according to our

views of the constitution of molecules, are probably of very rare

occurrence; in fact, chemical action appears almost always to involve

the occurrence of both these kinds of change, for, as already pointed

out, we must assume that the molecules of hydrogen, oxygen and several

other elements are diatomic, or that they consist of two atoms. Indeed,

it appears probable that with few exceptions the elements are all

compounds of similar atoms united together by one or more units of

affinity, according to their valencies. If this be the case, however, it

is evident that there is no real distinction between the reactions which

take place when two elements combine together and when an element in a

compound is displaced by another. The combination, as it is ordinarily

termed, of chlorine with hydrogen, and the displacement of iodine in

potassium iodide by the action of chlorine, may be cited as examples; if

these reactions are represented, as such reactions very commonly are, by

equations which merely express the relative weights of the bodies which,

enter, into reaction, and of the products, thus--

H + Cl = HCl

Hydrogen. Chlorine. Hydrochloric acid.

KI + Cl = KCl + I

Potassium iodide. Chlorine. Potassium chloride. Iodine.

they appear to differ in character; but if they are correctly

represented by molecular equations, or equations which express the

relative number of molecules which enter into reaction and which result

from the reaction, it will be obvious that the character of the reaction

is substantially the same in both cases, and that both are instances of

the occurrence of what is ordinarily termed double decomposition--

H2 + Cl2 = 2HCl

Hydrogen. Chlorine. Hydrochloric acid.

2KI + Cl2 = 2KCl + I2.

Potassium iodide. Chlorine. Potassium chloride. Iodine.

In all cases of chemical change energy in the form of heat is either

developed or absorbed, and the amount of heat developed or absorbed in a

given reaction is as definite as are the weights of the substance

engaged in the reaction. Thus, in the production of hydrochloric acid

from hydrogen and chlorine 22,000 calories are developed; in the

production of hydrobromic acid from hydrogen and bromine, however, only

844O calories are developed; and in the formation of hydriodic acid from

hydrogen and iodine 6040 calories are absorbed.

This difference in behaviour of the three elements, chlorine, bromine

and iodine, which in many respects exhibit considerable resemblance, may

be explained in the following manner. We may suppose that in the

formation of gaseous hydrochloric acid from gaseous chlorine and

hydrogen, according to the equation

H2 + Cl2 = HCl + HCl,

a certain amount of energy is expended in separating the atoms of

hydrogen in the hydrogen molecule, and the atoms of chlorine in the

chlorine molecule, from each other; but that heat is developed by the

combination of the hydrogen atoms with the chlorine atoms, and that, as

more energy is developed by the union of the atoms of hydrogen and

chlorine than is expended in separating the hydrogen atoms from each

other and the chlorine atoms from one another, the result of the action

of the two elements upon each other is the development of heat,--the

amount finally developed in the reaction being the difference between

that absorbed in decomposing the elementary molecules and that developed

by the combination of the atoms of chlorine and hydrogen. In the

formation of gaseous hydrobromic acid from liquid bromine and gaseous

hydrogen--

H2 + Br2 = HBr + HBr,

in addition to the energy expended in decomposing the hydrogen and

bromine molecules, energy is also expended in converting the liquid

bromine into the gaseous condition, and probably less heat is developed

by the combination of bromine and hydrogen than by the combination of

chlorine and hydrogen, so that the amount of heat finally, developed is

much less than is developed in the formation of hydrochloric acid.

Lastly, in the production of gaseous hydriodic acid from hydrogen and

solid iodine--

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