<ref name=burg1905>Charles Hutchens Burgess and Alfred Holt (1905): "Some physical characters of the sodium borates, with a new and rapid method for the determination of melting points." ''Proceedings of the Royal Society of London, volume 74, pages 285–295.{{doi|10.1098/rspl.1904.0112}}</ref>

When a quantity of  ordinary  pure  borax  glass  is  heated  for  some hours at a temperature  which gives it about  the  consistency of a thick syrup,  it  gradually  changes  to  a  mass  of  colourless  crystals.  The crystallisation begins at two or three points on the surface of the mass, generally around a particle of  dirt, or minute  fragment  of  imperfectly fused borax, and spreads in more or less spherulitic growths throughout the  glassy  portion.  As  the  crystals  grow,  there  appears  to  be  a contraction of  volume.

[...] the  whole  crystalline  mass  appears  to  be composed of dense, matted  clusters  of  very minute  needles, which are doubly  refracting,  and  have  a  pearly  lustre.    They  are  about  as soluble in water as ordinary borax glass, are not  hygroscopic, and melt at a higher temperature than the glass, into which they are reconverted on melting, and then cooling quickly.

We  find, however, that  it  is  not  borax  glass  alone  which exhibits this phenomenon  of  crystallisation  on  reheating, but  that the glasses obtained by fusing mixtures of boric anhydride  and  sodium carbonate, in which the ratio  of  the  boric  anhydride  to  the  sodium  carbonate is not 2:1, also exhibit it  in varying degree.

Thus, all mixtures in which the ratio varies from 6:1 to 8:5, give a glass when fused, and are all capable  of  being changed completely into crystals on reheating, exactly like  borax.

Mixtures in which the boric anhydride is present in greater proportion  than 6:1, only change with difficulty  on  prolonged heating;  and when  they  do,  the  crystals  are always found to be mixed with more  or  less truly glassy material, till, when the ratio 40:1 is  reached, it  seems  impossible  to  obtain crystals at  all.  So  far  as  we  can  ascertain, a mixture  of  this composition is always a true glass in any circumstances.

Mixtures, on the other hand, in  which  the  ratio  of  boric  anhydride is less than 8:5, when fused, and allowed to cool, yield nearly opaque, white  substances,  which  seem  to  be  micro-crystalline.  Nevertheless, these  mixtures  if  heated  to  a  high  temperature,  and  then  suddenly chilled by being poured into mercury, also yield glasses. The  glasses  obtained  by  this  sudden  chilling  seem  to  be  very unstable,  as  on  gently  heating  by  means  of  a  Bunsen  flame,  they change completely, and almost instantaneously, into crystals.

There  seems  then  to  be  a  gradual  alteration  in  the  rapidity and completeness  with which this change  occurs, and as it seemed probable that the crystallisation of some  borate  rich in sodium was the cause of it, we proceeded to determine what  was  the  composition of the  borate richest in sodium  which could  be  obtained  by  fusing  boric  anhydride with sodium carbonate.

When  boric  anhydride  is  fused  with  sodium  carbonate,  carbon dioxide  is  evolved,  and  the  product  may  be  regarded  as  boric anhydride  combined  with  sodium  oxide  (Na20).  Thus,  by  heating boric  anhydride  with  a  large  excess  of  sodium  carbonate,  and determining  the  amount  of  carbonate  decomposed,  the  greatest proportion  in  which  boric  anhydride  combines  with  sodium  oxide can be  ascertained, and  ought  to  give  the  composition  of  the  richest sodium borate obtainable by fusion. 

We have performed this experiment several times, and have obtained the following results :

  (i)  One part of B2O3 combines with 1.29 parts Na20
  (ii)  One     „ » 1.34    »
  (iii)  One     „  1.32 
  
These results are probably a little  too  low, as the sodium  carbonate loses some carbon dioxide merely on  heating  alone, but this amount is negligible,  and  does  not  in  any  way  affect  the  conclusion  that  the product  obtained  in  this  way  is  not  sodium  metaborate (NaB02), in which the ratio of boric  anhydride  to  sodium  oxide  is  1:1, and that sodium  orthoborate (Na8B03), in which the ratio is 1:3, cannot in any case be formed by fusion of boric anhydride and sodium carbonate.

[...] [determining the melting point of the glass and crystals] We found [that calibrating the apparatus] was a  matter of some difficulty, as very many of the most  ordinary  salts  were  found  to  decompose  to  some  extent  on heating.   Sodium  chloride,  sodium  carbonate,  potassium  iodide, calcium  chloride,  and  strontium  chloride  all  underwent  change.  Of these salts sodium chloride was  very little  attacked,  but after  only a few  minutes’  fusion  we  found  it  had  absorbed  quite  an  appreciable amount  of  oxygen,  being  converted  into  the  peroxide.   Potassium iodide  changed  in part  to  iodate,  sodium  carbonate  to  the  peroxide, and calcium and strontium chlorides to the oxides.These  changes  completely  prevented  any  accurate  melting  point determinations, so  after  repeated  trials we  adopted  potassium nitrate, lithium chloride, and  potassium  chloride as standards.  It is true that potassium nitrate  decomposes on  heating, but  as  the nitrite (to which it  changes) has  almost  the  same  melting point,  the  small  amount of change  was  found  to  be  immaterial.  The  chlorides  we  employed seemed to be, on the whole, very stable.

[Graph of melting point as function of Na2O:B2O3 ratio shows anomalies in the melting point. Metastable forms: 450 for pure B2O3, 625 for 0.25:1, same thereafter until 1:1, when metastable ends?. Stable forms: ~900 C for 0.25:1, ~780 for 0.5:1 (pure borax), min 775 at 0.7:1, max 960 at 1.25:1, min 650 at 2.25:1, 700 at 2.75:1, about the same thereafter] 

The addition of  sodium  oxide to  boric anhydride  raises the melting point continuously till a mixture of composition Na20.4B203 is reached. There seems to  be  no  depression of  the  melting  point at all,  thereby differing  from  the  case  of  ordinary  solution,  and  indicating  the probability that there is no solid phase. The curve then remains fairly level  till a composition Na20.2B203 is reached, when it falls irregularly to 3Na20.4B203 The last point we could  obtain  on  this  curve was  with composition Na20.B203,  where  the  melting  point  practically  coincided  with  the temperature of change  from  the  glassy to the  crystalline  state of this mixture.  Indeed  it  is  a  little  above it, but  it  was  possible by fairly rapid heating to melt the bead before the change had occurred. 

The melting point curve for  the  crystals is more easily explainable than that of the glass.

 We  were  unable  to  obtain  any  point  on  it  between  pure  boric anhydride  and  a  mixture  of  composition  Na20.4B208.   This  was because the crystallisation of the  small  mass of substance  in the beads we employed for the  melting point  determinations took  an extremely long  time,  and  also  because  the  devitrification  was  never  complete except in the neighbourhood of the mixture Na20.4B203. 

From a mixture of  composition  Na20.4B203 the  melting  point falls nearly uniformly till 5Na20.8B203 is  reached, at which  point it  begins  1 to rise rapidly.  The mixture  5Na20.8B203 would  then appear to be a marked eutectic point. The summit of  the curve is  reached with composition 5Na20.4B203, when  it  falls  again  to  a  mixture  which  may  be  considered  to have  the  composition  5Na20.4B203 + 4Na2C03, and  which  represents the eutectic point between 5Na20.4B203 and Na2C03.

The  further  addition  of  sodium  carbonate  causes  a  gentle,  almost uniform rise in the melting points.

As  the  summit  occurs  with  composition  5Na20.4B203,  and  as this  very  nearly  agrees  with  the  analysis  of  the borate  richest  in  1 sodium,  which  can  be  obtained  on  fusion  of  boric  anhydride  and  I sodium carbonate, this would seem to indicate a compound.

The results of  these melting  point  determinations of  the crystalline mixtures indicate that borax (Na20.2B203) is not  a  definite compound in this state, but  is almost a eutectic  mixture of the  borate with  composition  5Na20.4B203  and  one  of  composition  Na20.4B203,  for  the existence of which we have other evidence.  

This melting  point curve for the  crystalline  forms  of  these  various mixtures cannot be regarded as truly representing  either the solidus or liquidus.  It seems  probable that in this case they are situated close to each other,  and  that our melting points  really  represent temperatures close to the liquidus.  The fact that a mass of crystals would apparently melt  almost  completely at  an  almost  constant  temperature  certainly indicates that there cannot  be  any  very  great  difference between  the liquidus  and  solidus,  and,  as  in  the  cases  studied  by  Heycock  and Neville, that  the actually determined  melting points lie probably very near to the liquidus.

The following table  gives  the  melting points for the various glasses and crystals:—-

[...] 

We also tried extraction with hot methyl  alcohol which  is a solvent for boric anhydride, for, if the crystals had been due to a separation of a borate from its solution  in boric anhydride, this  should have left the compound  pure.  As  a  matter  of  fact  we  found  that  the  methyl alcohol decomposed both  the crystals and glass,  giving methyl  borate, boracic  acid,  and  sodium  methylate.  Both  glass  and  crystals  were decomposed at the same rate. 

The results of our analyses are as follows:—

(i) Mixture  of Composition  about  Na20.2B203.—This  mixture  crys­tallised  completely  in  a  few  hours, giving  a  hard, white,  completely crystalline  mass.  When  about  two-thirds  had  crystallised  the  glass and crystals were separated, and gave on analysis :—Glass =  309 per cent. Na20 ;  crystals = 31‘0 per cent. Na20.

(ii) Mixture  of  Composition  about  3Na20.8B203.—This  crystallised completely, and had the same characters as (i).On analysis obtained :—Glass = 25.86 per cent. Na20 ;  crystals  = 25'81 per cent. Na20.

(iii) Mixture  of  Composition  about  Na20.4B203.—This  crystallised completely, and had the same  characters as (i).On analysis obtained :—Glass =  18.70 per cent. Na20 ;  crystals =  18.67 per cent. Na20.

(iv) Mixture  of  Composition  about  Na20.6B203.—This  crystallised very nearly completely, but seemed to  contain small translucent glass­like fragments.On analysis obtained :—Glass =  11.5 per cent. Na20 ;  crystals  =  13.7 per cent. Na20.

(v) Mixture  of Composition about Na20.8B203.—This did not crystal­lise completely.  After  very prolonged  heating  it  nearly all  changed to a crystalline  mass with  an  almost waxy lustre, but  which  was  not really wholly crystalline.  There was  always  in  addition  a portion of the mass which remained a glass.On analysis obtained :—Glass = 1006 per cent. Na20;  crystals  =  11.90 per cent. Na20.

(vi) Mixture  of  Composition  about  Na20.12B203.—Only  about  half would crystallise, and this took a very long time.Qn analysis obtained :*—Glass =  2.1 per cent. Na20 ;  crystals  = 12.2 per cent. Na20.

(vii) Mixture of Composition about Na20.16B203.—After heating this mixture for several days only a very small  amount crystallised On analysis obtained:—Glass = 4.18 per cent.  Na20;  crystals =  10.02 per cent. Na20.: 

(viii) Mixture  of  Composition  about  Na2O.40B2O3.—This  could  not he crystallised at all. 

From  these  numbers  it  appears  that  with  mixtures  between Na20.4B203 and  Na20.2B203  the  crystals  and  glass  have  absolutely identical composition, but  with  mixtures  containing more boric anhydride  than  Na20.4B203,  only  a  part  (decreasing  in  quantity  as  the Amount  of  boric  anhydride  present  increases)  crystallises,  and  this tart has approximately the composition Na20.6B203. As  the  crystals  of  the  mixture  of  this  composition  contain  more sodium  than  the  glass, it  seems  probable  that, could  one  obtain  the srystals  really  pure  and  not  entangling  any  glass,  the  composition night approach that of Na20.4B203.

The nearness  in composition of  the crystals obtained from mixtures varying from Na20.16B203 to Na20.6B203 makes it seem fairly certain shat it is the same compound  which  separates  out  in all of  them, and that the differences in the analyses are due to the crystals being mixed with more or less glass which it was  impossible to remove. 

In experi­ment (vi) the  crystals  and  glass were  particularly well separated, and She result is shown by the great difference in their analyses. It seemed so curious that with  mixtures of  composition Na20.2B203 to  Na20.4B203  the  glass  and  crystals  should  give  similar  analytical results, that we thought it worth while to try fractional  crystallisation of  the  glasses, to  see  if  we  could  detect  any differences between the different crystalline portions. The analyses of these various  portions gave the following results :—

(i) For a mixture of composition about Na20.2B203 Per  cent.  Na20 .
  First portion .................    glass =29.7crystals  =  29.3 
  Second portion .............  glass  =  29.9crystals  =  29.2
  Third portion .................  glass  =  30.3crystals  =  30.5
  Fourth portion ...........    glass =30.2crystals  =  30.1
  
(ii) For a mixture of composition about Na20.4B203 Per  cent.  Na20.
  First portion .......!......  glass   =  18.7crystals  =  18.6
  Second portion .............  glass  =  18.6crystals  =  18.4
  
We  also  fractionally crystallised  borax  itself  five  times, when the final  crystalline  portion  was  found  to  contain  30.8  per  cent. Na20 theory for Na2B407 requiring 30.7 per cent. Na20. These  differences  are  negligible, and  the  crystals  that separate out from the glass have  exactly the same  composition from the beginning.

These results show at once  that this crystallisation is not due to the separation of any single compound as we had previously supposed, but that it is  more  probably due  to  the  formation of  mixed crystals or a solid solution from a superfused liquid.

All the various crystalline  fractions  obtained  from  any one glass of composition  Na20.4B203  to  Na20.2B203  were  found  to  melt  at identical temperatures, as also  did  the  residual  glasses.  Further, the crystalline  portions  when melted,  gave  glasses  which  had a melting point  identical  with  that  of  the  previous  residual  glass,  and  these residual  glasses  could,  in  their  turn,  be  changed  to  crystals  with similar melting points to those which had originally been separated. This shows most  conclusively the  identity of  the  crystals  and glass in  chemical  composition.

We  have  also  determined  in  the  case of several mixtures the  temperatures  at  which  this crystallisation  takes place.  The curve indicating  these  temperatures is  shown in fig. 2  by the line joining AA. A bead of the glass  was  put  on  the  platinum  wire  of  our melting point apparatus,  and  the  temperature  raised extremely slowly, whilst the bead was  watched  with  a  lens.  In  the  case  of  those  mixtures which melted  before the  change  occurred, no  weight  was attached  to the bead.  

The crystallisation appeared to start at a fairly well defined temperature, and, if it was maintained, would gradually spread through the bead. It is a little hard  to  say exactly what  is  the  meaning of  this curve AA, fig. 2, and  all that  seems  certain  is  that  it gives  approximately the temperatures at which the rate of crystallisation assumes a sufficient velocity to visibly change the state of the substance. 

From a consideration of the melting  point  curves, together with the analytical and other  observations  we  have  described, it  is possible to form some idea as to the nature of  these  glasses  and  the crystals into which they are wholly or partially transformable. The glass must be regarded as a superfused, and, therefore, metastableform of  the crystals, behaving  in several respects as if it were a  liquidof enormous viscosity. Now, on considering the behaviour of the glasses ranging in composition  from pure boric anhydride to  Na20.6B203,  it will  be noticed that the supposition of  the existence of  a  borate  of  about  the composition Na20.5B203, which  is  dissolved  in  boric  anhydride,  will explain  the observed  facts.  A  mixture  of  composition  Na2O.40B2O3  cannot  be crystallised at all, and one  of  composition  Na20.16B203 only partially frystallises,  hence  some  point  between  these  mixtures  will  give the Maximum  solubility of  this  borate  in  boric  anhydride.

On  further Increasing  the  amount  of  this  borate  present,  the  glass  becomes  supersaturated  and  superfused  liquid,  the  amount  of  crystallisation measuring the supersaturation. I  Somewhere  between  Na20.6B203  and  Na20.4B203  no  free  boric mhydride remains in the  solution, and  the whole mass  will crystallise lor the first time.i  On further addition of  sodium,  another  borate  of  composition  near 5Na20.4B203 begins  to  be  formed,  and  we  have  shown  that in  any mixture  between  these  two  compounds, both  crystals and  glass  have identical  compositions.  We  are  here  probably dealing  with a case of solid solution, and the glass is merely its superfused form.

The character of the curve would indicate that there are two types of crystals, one rich in B203, the other rich in Na20, and the lowest point of the curve is the eutectic point formed by mixtures of these two. That the  crest  of  the  curve  does  not  occur  with  the  composition Na20.B203 can be  most  conveniently explained  by the  fact  that  solid solutions cannot be treated as  pure substances, and  so a slight shifting of the maximum point is  to  be  expected.  The  further  depression  of the melting point curve probably indicates  the  eutectic  point between these crystals, rich in Na20, and sodium carbonate.

In conclusion we wish to express our thanks to Professor H. B. Dixon and  Mr. D. L. Chapman,  for  the  kindly  interest  they have  taken  in our work.
 


Bugess and Holt, Journ.  Chem.  Soc.  Proc.,’  1903,  p.  221.;  W. Guertler, Zeit.  Anorg.  Chem.,’  vol. 40,  2,  pp.  225 and 268 ; yoI.  40,  3,  p.  337.
-->