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Journal of Resea rch of the No tion al Bureau of Standards Vol. 62, No. 2, February 1959 Research Paper 2930 Properties of Zinc Borosilicate Glasses 1 Edgar H. Hamilton, Roy M. Waxler / and Joseph M. Nivert, Jr . The glass-for ming rcg ion of thc sys tcm ZnO-B20 3-Si0 2 was surveyed. Glasses ,,·e rc Inade with compositions within the fo ll owing limits in mole per cent: 50 to 62.5 Zn O 20 to 43.5 B2 0 3, and 0 to 20 Si0 2• They can be me lted and p OllI· cd bclow 1,400° C. The glasses have low coe ffi cie nt s of the rmal expans ion, high va lucs of clastic moduli and Po isson 's ratio , an d refra ct ive indi ces fr om 1.6409 to 1.6798. 1. Introduction In a search for heat-r es istant glasses, for which a low coefficient of t hermal expansion is desirable, it was found that Winklemann [1] 2 reported a low, expansion zi nc borate glass containing 4] percent of B 203 and 59 per ce n t of ZnO by weigh t. He reported a coeffi cient of cub ic expansion of 110 X lO -i over the tempera ture range of 10. 35 to 92.88° C, whi ch is eq uivalent to a co efficient of linear expansion of 3.7 X l0 - 6 . Th e glass has b ee n report ed to have other ext reme properties including gr eat har dn ess, large values of cl ast ic moduli, and Poisson's ratio [1, p. 193 ]. A glass-forming system, with a glass th at. is so hi ghl)' r ecommend ed, seemed worth)- of further to determin e jf there were other glasses with simil ar or mor e d esirable properties. E. In gers on , G. W. and O. F. Tu ttle [2] surv eyed the ZnO-B 20 3 and ZnO-B z 0 3-S i0 2 systems and identified two zinc boraLe co mpound s, ZnO·B 20 3 an d 5ZnO·2B 20 3, and a very large region of two- liquid immiscibility. Th ey found that ZnO·B Z 0 3 h as an extremely flat pr imary fi eld- so fl at that the determined values of liquidus temp eratur e within the fi eld were all the sam e, 1,000° C, within the limits of error of their determination. Th e ex- tremely flat prim ar)- field indicatf's a hi gh degree of dissociation of ZnO ·B20 3 at the liquidus. In a number of other multicomponent systems the r egion s where stable glasses are obtained are in and adjacent to flat primary fields l3] . Th e ZnO-Si0 2 s)- stem was st udied by E. N. Bun ting [4] who iden tifi ed one compound, 2Z110· Si0 2" 2. Experimental Procedure The glasses were mad e in 500-g melts from bat ch materia ls of sufficient pur i ty to satisfy the require- ments for optical glass. Th e melts we re mad e in pla t inum crucibl es and stirre d with pl atinum- l0 percent-rhodium propeller-type stirrers. Th e d et ails of the melting proce dur e ar e published elsewher e [5 , 6]. rrhe sag points (accurat e to ± 7° C) [7] of the glasses were used to establish annealing temperat.ur es from which the glasses were coo led at 2.5° C per hour to 350° C. R efrac tive indices were meas ur ed with the Grauer refra ctometer l8 ] on small cub es cut from the ann ealed glasses. With this apparatus the refractive indi ces can be determin ed to ± 2X l0 - 5 without additional processing of the glass specimen . 1 Th e work described ill this report was sponsored by the Wright Air Develop· ment Center, United Stat es Air Force. 2 Figures ill brackets indicate the literature references at the end of tbis paper. Th e liquidus temperatme of each glass was deter- mined b)' a temp erat urc gradient m ethod [9 ]. Th e probable error of a sin gle dctermin at ion is ± 4° C, bu L the absolut e error in the pre se n t data ma:v be g re a ter. Comparison wi th the data of In gel"son et al. , to be discussed later, ind icates t haL the error is less than 30° C. Th e thermal ex pa nsions of sel ecLe d gl assC's were determined to with in ± 0.l X IO - 6 at; int erferomet ric met hod [10] . Chemical was determin ed by the i llLerferom et ri c m ethod of Hubbard and Harililton [ 11] . Elast ic moduli were m eas ur ed by the d)Tnami c method described by Spinn er [12]. Th e accurac.I' of a single (l etermination is ± 0.4 pcrc C' nt for Young 's and Sh ea r moduli , and ± ] pcr ce nL for Poisson's ratio. Th e co mp os itions lisLe d in table 1 are calc ul aLed from the bat ch formul at ions. The . ZnO and Si0 2 co nt ent s of four of the glasses were dctermin ed by ch em ical a naI)-sis. Th e cal- cul ate d and analyzed co mpo sitions of these glasses arc co mpared in table 2. Th c res ult s indi cate that thc ch a nges . in co mposition during melting of the glasses usually werc less than 0.5 mole percent, but for a few of the glasses they may have b een as hi gh as 1 mole percent. 3. Results and Discussion 3.1. Gla ss-Formi ng Re gion of the System ZnO-B20 a- Si0 2 The compo siLions of the mclts are given in table 1 and are plotted in fi gur e 1. Cl car binar y zinc bor ate glasses were made co ntaining from 50 to 60 mole percent of ZnO. Th is composition range co incides with th at of the ex tr em ely fl at primary field of ZnO ·B 20 3 as determined by In ger so n ct al. [2]. All of the glasses cou ld be me lt ed below 1,4 00 ° C. Th e melts were very fluid and eas il y fined. 3 .2. Liquidus Temperatures Th e liquidus temperatures of many of the glasses are given in table 1. Ther e is a gradual change in the compo sition of the glasses at and above their liquidus temperatures. Th e lengtll of time that a sample is held in this temperature rang e will hav e a bearing on the liquidus temperature obtained. Suc- cessively higher valu es were obtain ed on repeat det erminations. Th e liquidus val ue s given in the tabl e are the highest temperat ures at whi ch crystals were observed after a 30-min hol ding period. The 59
Transcript
Page 1: Properties of zinc borosilicate glasses · All the clcar glasses, free from crystal defects OJI the surface or in the body of the glass, had liq uidus temperatures between 9000 and

Journal of Research of the Notional Bureau of Standards Vol. 62, No. 2, February 1959 Research Paper 2930

Properties of Zinc Borosilicate Glasses 1

Edgar H. Hamilton, Roy M. Waxler/ and Joseph M. Nivert, Jr. The glass-forming rcgion of thc systcm ZnO-B20 3-Si02 was surveyed. Glasses ,,·e rc

Inade wit h composit ions within the foll owing lim its in mole percent: 50 to 62.5 Zn O 20 to 43.5 B20 3, and 0 to 20 Si02 • They can be melted and pOllI·cd bclow 1,400° C. The g lasses have low coe ffi cients of t hermal expansion , high valucs of clast ic modu li and Po isson 's ratio, and refract ive indices from 1.6409 to 1.6798.

1. Introduction

In a search for heat-resistan t glasses, for which a low coefficient of t hermal expansion is desirable , it was found that Winklemann [1] 2 reported a low, expansion zinc borate glass containing 4] percent of B 20 3 and 59 per cen t of ZnO by weigh t. H e repor ted a coeffi cient of cub ic expansion of 110 X lO- i over the temperature range of 10.35 to 92.88° C, whi ch is eq uivalent to a coefficient of linear expansion of 3.7 X l0- 6. The glass has b een r eported to h ave other extreme properti es including great hardness, large values of clastic modul i, and Poisso n's r atio [1, p. 193]. A glass-form ing system , with a glass that. is so highl)' r ecommended, seemed worth)- of further stud~T to determin e jf t here were other glasses with similar or more desirab le properties.

E . Ingerson , G. W. ~torey, and O. F. Tuttle [2] surveyed the ZnO-B20 3 and ZnO-Bz0 3-Si02 systems and identified two zinc boraLe compounds, ZnO·B20 3

and 5ZnO·2B20 3 , and a very large region of two­liquid immiscibility . They found that ZnO·B Z0 3

has an extremely flat primary fi eld- so flat that t he determined values of liquidus temperature within the field were all the same, 1,000° C, within the limi ts of error of the ir determination. The ex­tremely flat primar)- field indicatf's a high degree of dissociation of ZnO·B20 3 at the liquidus. In a number of other multicomponent systems the regions where stable glasses are obtained are in and adjacent to flat primary fields l3] . Th e ZnO-Si02 s)-stem was studied by E. N . Bun ting [4] who iden tifi ed one compou nd, 2Z110·Si0 2"

2. Experimental Procedure

The glasses were made in 500-g melts from batch materials of sufficient puri ty to satisfy the r equire­ments for optical glass. The melts we re made in platinum crucibles and stirred with platinum- l0 percen t-rhodium propeller-typ e stirrers. The details of th e melting procedure are published elsewhere [5, 6]. rrhe sag points (accurate to ± 7° C) [7] of the glasses were used to establish annealing temperat.ures from which the glasses were cooled at 2.5° C per hour to 350° C . R efrac tive indices were measured with th e Grauer refractometer l8] on small cubes cut from the annealed glasses. With this apparatus the refractive indices can be determined to ± 2X l0- 5

without additional processing of the glass specimen . 1 The work described ill this report was sponsored by the Wright Air Develop·

ment Center, United States Air Force. 2 Figures ill brackets indicate th e li terature references at the end of tbis paper.

The liquidus temperatme of each glass was deter­min ed b)' a temperaturc gradient method [9]. The probable error of a single dctermin ation is ± 4° C, bu L the absolute error in the presen t data ma:v be grea ter. Comparison with the data of Ingel"son et al. , to be discussed later, indicates thaL the error is less than 30° C. The thermal expansions of selecLed glassC's were de termined to within ± 0.l X IO- 6 b~- at; interferometric method [10] . Chemical durabilit~1 was determined by the illLerferometric method of Hubbard and Harililton [11] . Elast ic moduli were measured by the d)Tnami c method described by Spinn er [12]. The accurac.I' of a single (leter mination is ± 0.4 pcrcC' n t for Young's and Shear moduli , and ± ] pcrce nL for Poisso n's ratio.

The composit ions lisLed in table 1 a re calcul aLed from the batch formulat ions .

The . ZnO and Si0 2 contents of four of the glasses were dctermined by chem ical a naI)-sis. The cal­culated and analyzed compositions of these glasses arc compared in table 2. Thc results indicate that thc changes . in composition during mel ting of th e glasses usually werc less than 0.5 mole percent, but for a few of the glasses they may have b een as high as 1 mole percent.

3. Results and Discussion

3 .1. Glass-Forming Region of the System ZnO-B20 a­Si0 2

The composiLions of the mcl ts are give n in table 1 and are plotted in figure 1. Clcar binary zinc borate glasses were m ade containing from 50 to 60 mole percent of ZnO . This composition range coincides with that of the ex tremely flat primary field of ZnO ·B20 3 as determined by Ingerson ct al. [2]. All of the glasses could b e melted b elow 1,400° C. The mel ts wer e very fluid and easily fined.

3.2. Liquidus Temperatures

The liquidus temperatures of many of the glasses are given in table 1. There is a gradual change in the composition of the glasses at and above their liquidus temperatures. The lengtll of time that a sample is held in this temperature range will have a bearing on the liquidus temperature obtained. Suc­cessively higher values were obtained on repeat determinations. The liquidus values given in the table are the highest temperatures at which crystals were observed after a 30-min holding period . The

59

Page 2: Properties of zinc borosilicate glasses · All the clcar glasses, free from crystal defects OJI the surface or in the body of the glass, had liq uidus temperatures between 9000 and

T ABLE 1. Compositions and pl'operlies of zinc borosilicate glasses

Composition Refl'ac- Coefficien t Jinear Glass Live Liquidus Sag t hermal expansion Young's Shear POiSSOll'S ..'\ ppcaral1 CC of glass :\0. injcx poin t. a X H/6 modulus modulus ratio 8 iO, B ,0 .1 ZnO nl) --------------------- ---

,IIolp. .W ole .1Iole 25° to 100° 10 % % % °C °C 100° C 1.00° C I{ilO'Jll TS a ](ilobnrs a

35 65 Opaque. 5 30 65 Streaks of cr~'s t :!ls in ~bss. 10 25 65 Do. 15 20 65 Do. 20 15 ()5 Glass and crystals.

37 . .5 62.5 D o. .5 32 . .5 62 . .5 - ~ --

I

Streak s of cl'~'sta ls in glass. 10 27. !) 62.5 I . 6772 I. 020 618 -- Clear. no seeds. 15 22.5 62. 5 I. G798 1. 151 608 - -- -- Crystals in LOp ~t1l'fnc(' of glass. 10 20 li.5 62.5 Glass and cr~·st;)ls.

Il 25 12.5 62.5 Do. 12 40 60 l. G6iO 972 (;,J 2 o. N ii. 19 848. :j 32.~ . 0 0.305 Dull surface. 13 5 ;J5 60 I . 6684 06~ (j02 Clear, no seeds. 14 R :,2 60 I. 6687 950 588 3.21 5.04 Do. 15 10 30 60 l. 6G91 998 G50 3.(\5 5 09 Do.

16 15 25 50 I. 6698 1, 108 (i I i Do. 1 i 20 20 50 l. 6721 1, 19S G,17 3.3i 4. 9r; C r ystals in top surfaco of glass. 18 25 \ f) 50 Glass and cr)-stn ls. 10 18 2:j 59 l. f'J()62 Gl 5 856 .. \ 02f,.9 . ;J IO Crystals in top ~urL1e('. 20 42.5 57. 5 l. 6608 970 Glo CleaJ', pin point s{'('d ~.

21 f) 3i.5 57.5 l. 6()J i 950 625 Clear, few s(lr ct s. 22 10 ;J2.5 57.5 1. 6614 95i G50 D o. 23 15 2i.5 57 . . 5 I. 61i l4 1. 0.\.\ 591 D o. 24 20 22.5 57.5 1. 6619 1, 125 Ct'~rs tals in lOp surface of

25 44.8 55.2 1. 6548 J .77 5.28 glass.

Dull su rface.

26 '1.\ .55 1.6.150 91i.\ ()();j 3. 71 .\.2 1 859.4 330.4 .300 Do. :n 5 40 55 1. 1i544 900 (i25 C lea r , fe\\' seeds. 28 10 3.1 .\5 1. 6.\4 1 964 642 3.5·1 5.0 1 83G.6 322. 7 . 29G Do . 29 15 30 55 '1' wo immiscihlc liquids. 30 20 25 55 Do.

:11 10 3fi.5 50 . . 1 1. 6499 C leGt', t ranspnrrn t fillll on top surfacC'. 32 10 37 53 1. (i185 D o. :J3 47 . . \ 52.5 1. 64i8 9G8 610 C]rar , pin po int seeds. 34 12.5 52.5 1. 6479 .\9! C lenr, pin point I ~rt'd s. 'rransp aren t film en .top surface. 35 10 3i. 5 52.5 1. 5·165 646 Do.

36 15 32.5 52. 5 Opaq ue, t,,·o immisrib!e liq u ids. 37 10 38 52 1,6455 608 Clea r, transparent film on top surfacc. 38 43. 5 fi l ,,\ 1. 6449 6 15 Do.

39 JO 38. 5 51. 5 I. C-139 585 Do. ·10 !i0 50 '1' \\"0 immiscible liquids.

41 45 50 l. 6409 615 3. 49 5. 18 Clear, t ranslXlrent film on top surface. 12 to 40 50 Opaque, t\,'o jmmisr-ib!r liquids.

a One kilobar = l. X lO ll d~rnc~.'cI1l 2.

T A BL I'; 2. Comparison of analyzed and calculated compositions of selerted glasses.

valucs are abou t 30° C low!'l' than those' reported by Ingerson et al. [2 ]. In ei th er of these inYes tigations, failure to obtain cquiliblium 01' losses due to volati­lizatiOll could accoun t for such diffcrences.

G lass num her 2110 8 iO , _·------11---------

12{Calculatcd ______ _ _ __ _ Analyzed _____________ _

16{Calcnla tcd ____ __ _____ _ Analyzed ____________ _ _

26{Calculated ____________ _ An alyzed _____________ _

28{Calculatcd . ______ _ • ___ _ An alY7,eci _____________ _

."f ole 0/, 50 59.8 50 59.7 55 56.0 55 55.5

.11"ole 0/, 40 40. 2 25 25.2 45 44.0 35 34.5

.H ole %

15 15. 1

10 10. 0

a Analyzed values for B20 a ,n:lr c obta ined by di fTcrcnc(' .

60

All the clcar glasses, fr ee from crys tal defects OJI

the surface or in the body of the glass, had liq uidus temperatures between 900 0 and 1,110° C .

A melt of the composition ZnO·B20 3, :L\o. 40, wa s opaque at pouring temperatures. After cooling it was discovered that the cast block consisted of a thin opaque shell sUl'l'ounding a mass of d eal', transpa]'en t glass . The ZnO con tents of the trans­parent glass and the opaqur sh ell were determined with the following r esults: transparcnt glass 52.3 mole percen t, and opaque shell 0.9 mole percen l. So i t appears that the region of liquid immiseibjli t~­is slightly larger than indicated by Ingerson et al.

Page 3: Properties of zinc borosilicate glasses · All the clcar glasses, free from crystal defects OJI the surface or in the body of the glass, had liq uidus temperatures between 9000 and

8 0

.0

lo O 10 20

\

' \ .' ~

30 O,,--:,L~----50 --- 5\°2 2 ZnO·sro2

F I GUHE 1. Compositions studied in the system ZnO-B20 a-Si0 2.

. , One liquid, eooled to glass; X, one liq uid , cooled to glass plus crystals' <l two immiscible liq uids. ' ,

r2 ] a nd includes the compoun d composition ZnO·Bz0 3•

The temperature at whi ch the mclt is fill ed a nd poured will detennine whether a clear glass or two phase~ are obtained .. . F or example, repeaL melLs of tbe 1\0. 4 0 compOSitIOn produ ced two immiscible liq uicls wh eH th e mells were fined alld poured below ] ,200° C; a nd wh en mC'lted a nd poured at 1,250° to 1,:\00° C, clear glasses were obta ined indieat ing th at aL Lhese temper a tures o nl~' one liquid was presen t. Wh en the clear glasses were heat-treated at tempera­t un's above 957° C tin." globules appeared i ll th e bod.\" of the glass, probably b ecause of the separa­Lion of n,n immiscible liquid phase.

Zinc borosilicaLe glasses co ntaining less Umn 55 m ole percent of Zn O were characte ri zed by Lh e p rese nce of thin Films on th e top surfaces of Lh'e casL blocks. T hese thin films produced interferellce colors \\'hen view ed b.'" r efl ecLed ligh t . The ill tcr­Jerence colors ,\,'ere visi ble immedi a tclv aJter th e m el t was poured . The thickness of th e films vari ed across th e surface of each glass as well as from glass to g lass. Presumabl." th e thin films resul t from th e prese nce in the m elt of two liquid phases whi ch ar e immisc ibl e a t pouring tempera tures .

3 .3. Refractive Indices

. The. r efract ive indi ccs of til e a nnealed glasses arc gIve n 1Il table 1 and ar e plo t ted against the Si02 con ­Le'~ t of. the. gl~sses if: fi gur.e 2. The effect upon th e rclractlve 1l1chces of the ll1troduction of SiOe in to zinc bora te glasses varies with their ZnO con"ten ts. F or glasses containing 57.5 mole percen t or more of ZnO, .th e refra.ctiv~ indices of th e glasses increase wi th II1 crease In S,0 2 con ten t and the r ate of in­erease is determined by the ZnO conten t of th e glasses . For glasses con taining 55 mole percent or less or ZnO, incr eas ing the Si02 conten t decreases th r r efractive index.

61

x w 0

~

w ~ r-u <! OC u.. w OC

1.6800,---,---,---...,.--_--,

1.6750

1.6700

1.6650

1.6600

1.6550

1.6500

1.6450

62.5 Z nO

60 l nO

57. 5 ZnO

55 ZnO

• 53.5 ZnO

52.5 ZnO • 53 ZnO

• 52 l nO

51.5 ";:;;----..

.50 ZnO

r.6400~0----:5~---:1~0---IL5-----.J20

MOLE PERCENT 5i02

F I GUHE 2. Change in Te/1"active index with change in composi­tion olong Zn O isopleths.

' I' he V~111C adjaccn t to ,1 Jino or a pOi nt indicates the Z ll 0 content in mole perce nt.

3.4. Thermal Expansion

Three of th e zinc borate glasses h ad cocffi.c ients of tllCrmal expa ll sion in the temperature ranO'e of 25° Lo 100° C whi ch were essentially icll' Il Lieal L~ Lh a t r e­pOl·te~1 .lor ~iV i nJdema n n's. glass. For the g lasses cOll ta llllll g S102 th e coeffi clC nLs were even lower aud approach ed th aL of Corning'S PYrex B rantl alass ~o. 7740 . The coeffi ciellts of th e glasses in(Te~sed with temperature, but a t higher LemperaL LlI' l's were st ill con siderabl~" lowcr tha n for mos t eommercial glasses which range from 7.0 to ]0.O X lO- 6 .

3.5. Elastic Moduli

Elastic moduli werc determined Oil fOLlr of t he glasses by a dy nami c method [12]. Th e specimens were in t he form of bars groun d to approximately 5% by 1Yz b.\· 73 in . ill size. Wi t h bars of t his size a nd shape the r esona n L freq L1 encies for fl exure and torsion were between 1,600 and 2, 000 cps a nd 3,400 and 4, 000 cps, r espectively. The glasses have Young's moduli above 800 kilobars 3 and Poisson's ratios of about 0.3, both of which are higher than t he v alues repor ted by Spinner [121 for common opt ical glasses. Poisson 's ratio for most glasses is usually between 0.2 and 0.25.

3 One kilo!). r is equivalent to l X to' d yn es/ern '.

Page 4: Properties of zinc borosilicate glasses · All the clcar glasses, free from crystal defects OJI the surface or in the body of the glass, had liq uidus temperatures between 9000 and

TABLE 3. Chemical durability of selected glasses

Com position Surface alteration In fringes, • at pH: Glass (exposure, 6 hr at SOO C) No.

SlO, I B,O, ZnO 2 4 1_6 1_8 10 12 ---

"'101e % 12 :~~O{;:~:I M:g % 60 Severe b ______ _ 1.5 I 0. 1 I 0.2

e ND Se\7ere. 26

I 55 __ ___ do ____ ___ __ 0.6 . 1 . 1 O. 1 Do.

28 10 35 55 _____ do ______ ___ 2. 4 . 2 .2 e N D dO.1 (SC).

• One fringe Is approximately equivalent to depth of attack of 0.291'. b Severe : Attack so great it was inlpossible to determine the surface alteration in terms of fringes . • ND : Not detectable. d SC: In addition to the indicated surface alteration there was severe attack at the air-liquid interface.

3 .6 . Chemical Durability

Using an interferometric method [11] the chemical durabilities of three of the glasses were determined in solutions buffered at pH values of 2, 4, 6, 8, 10, and 12. The results are given in table 3. The addi­tion of SiOz to the zinc borate glasses did not improve t he resistance to attack by acids but did increase the resistance to strong alkali . The results indicate that the glasses should be serviceable in the pH range of 6 to 10, inclusive.

A polished sample of glass No . 28 was exposed to alternate cycles of wetting and drying. Each cycle was of 30 min. duration. During the wetting cycle the sample was heated from 60° to 65° C while the humidity was maintained at the saturation point, then the temperature was lowered to 60° C and the relative humidity to 84 percent for the drying cycle. After 96 hI' exposure there was no detectable change in the appearance, light transmission, or weight of the polished plate.

3.7. Surface Devitrification

During annealing, the two component ZnO- B20 3 glasses always developed a dull appearan ce on their exposed surfaces. The amount of this surface devitrification varied with the time and temperature of heat treatment. The three component glasses, conta,ining as little as 5 mole percent of Si02, always maintained a brilliant transparent surface during annealing. The tarnishing of the ZnO- B20 3 glasses during heat treatment is probably one of the reasons why 'Vinklemann's glass has not been adopted for commercial use. This tarnishing may be caused by a loss of B20 3 from the surface of the glass at the annealing tempera ture.

4. Summary

The glass-forming area of the system ZnO-B 20 3-

Si02 was surveyed. Clear glasses are obtained in or adjacent to the primary field of the compound ZnO ·B 20 3. This primary field is extremely fiat, indicating a high degree of dissociation 01 the primary compound a t the liquidus. Such a condition appeitrs to be favorable for t he formation of stable multi­component glasses.

l __ _

The glasses h'tve moderately low thermal expan­sions and high values of elastic moduli and Poii"son 's ratio.

The authors thank Thomas Scuderi for determin­ing the chemical durabilities of the glasses and H . A. Berman for making the chemical analysis .

62

5. References

[11 H. Hovestadt, J ena Glass, pp. 146, 193, and 216 (Mac­Millan and Co., Ltd ., London , 1902).

[2] E . Ingerson, G. W. Morey, and O. F. Tuttle, The systems K zO-Si02, ZnO-BzOa-SiOz, and Zn2SiO.-Zn2GeO" Am. J . Sci. 246,31 (1948).

[3] E. H. H amilton and G. W. Cleek, The sha pe of t he liquidus surface as a criterion of stable glass formation, J. R esearch N BS 60, 593 (11158) RP2872.

[4] E. N. Bunting, Phase equilibria in t he system SiOz-ZnO, BS J . R esearch 4, 131 (1930) RP136 ; J . Am. Ceram. Soc. 13,5 (1930).

[5] G. ' V. Cleek and E. H . Hamilton, Properties of barium titanium silicate glasses, J . R esearch NBS 57, 317 (1956) RP2720.

[6] E. H. Hamilton, G. W. Cleek, and O. H. Grauer, Some properti es of glasses in t he barium oxide-boric oxide­silica system, J . Am. Ceram. Soc. 41, 209 (1958).

[7] S. Spinner, G. W. Cleek, and E. H. H amilton , D et ermina­t ion and use of t he sag point as a reference point in t he heating of glasses, J . R esearch NBS 59, 227 (1957) RP2791.

[8] O. H . Grauer z..!'recision refractometer- U. S. Patent No. 2,772,597 (v ecember 4, 1956).

[9] O. H . Grauer and E. H . Hamilton, An improved appa- I

ratus for t he determination of liquidus temperature and rates of crystal growt h in glass, J . R esearch N BS, 44, 495 (1950) RP2096.

[10] J . B. Saunders, An apparatus fo r photographing inter­ference phenomena, J . R esearch NBS 35, 157 (1945) RP1668.

[11] D . Hubbard and E. H . H amilton, Studies of the chemical durability of glass by an interferometer method , J . Research NES 27, 143 (1941) RP1409.

[12] S. Spinner , Elastic moduli of glasses by a dynamic method, J . Am. Ceram. Soc. 37, 231 (1954) .

'VA SHI~wro~, October 27, 1958.


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