12
American Mineralogist, Volume 73, pages826-837, 1988 Reappraisal of the crystal chemistry of beryl C. Aunrsrccrrro Centro di Studio per la Mineralogia e Petrologia delle Formazioni Ignee,C.N.R., 00100 Roma, Italy G. Fronq.vANTr, O. Gnunnssr Dipartimento di Scienze della Terra, Universiti "La Sapienza,"00100 Roma, Italy P.F. ZltNlizzt* Dipartimento di Scienze della Terra, Universitd di Perugia,06100 Perugia,Italy Ansrnlcr The complex crystal chemistry of beryl has been re-evaluated on the basisof new chem- ical analyses and X-ray structural refinements on beryl samplesof different sourcesand compositions. The results show that main substitutions concern divalent and Li ions for Al in octa- hedral and Be in tetrahedral sites,respectively;both substitutions need the entry ofalkali in the 2a position in the channels between the six-membered Si rings, whereas the 2b position at the center of eachring is occupiedpreferentially by water molecules. The extent of the substitutions for Al and Be is limited by the imbalance arising from the bond- strength deficiency on O(2). The effect of these substitutions on the lattice parameters allows the definition of three beryl serieson the basis of the c/a ratio: the "octahedral" beryls, i.e., beryls where Al = Me2+ represents the main isomorphous replacement,are characterized by c/a values in the range 0.991-0.996; the "tetrahedral" beryls, where Be + Li is the main substitution, with c/a values in the range 0.999-1.003; the "normal" beryls with c/a ratios between 0.997 and 0.998 include those where the two substitutions occur together, though to a limited extent. A compositional gap exists between "octahe- dral" and "tetrahedral" beryls. The formation of beryls of a given series has been ascribed to the chemical constraints of the environment, such as the bulk-rock chemistry and the fluid-phase composition, and to the physical-chemical conditions during mineral growth. accurate paperson beryl crystal chemistry, some intrigu- ing questions still persist: for example, it has not been clear whether beryl forms a continuous isomorphous se- ries or two series with substitutions in the octahedralsites and tetrahedral sites, respectively (Schaller et al., 1962; Bakakin et al., 1970). While there is general agreement that divalent cations substitute for Al in octahedral sites and Li for Be in tetrahedral ones, Beus(1960)and Evans and Mrose (1968) proposed Al-Li substitution in the oc- tahedron. Different distributions of cations such as Fe2* or Fe3* in tetrahedral or channel sites have been pro- posed to explain the electronic absorption, infrared, or M6ssbauer spectra (Wood and Nassau, 1968; Goldman et al., 1978;Price et al.,1976). A subject ofcontroversy is also the location of alkali ions and water moleculesin the open channels of the structure, where two positions (2a and 2b) are available. The general interpretation of the residual electronic density in thesesiteshas been that HrO occupies the 0, 0, t/t (2a) position, as well as the larger alkali ions (Cs*, Rb+, and K+); the smaller Na+ ions would lie at 0, 0, 0 (2b),i.e., at the centerof Si rings (Hawthorne and Cernj', 1977). A similar interpretation has been assumedalso to explain the difference-Fourier * To whomcorrespondence should be addressed. maxima found in low cordierite, with similar structure 0003-004x/88/07084826$02.00 826 INrnooucrroN Beryl, ideally AlrBerSiuO,r, is an accessorymineral found in many pegmatites, in silicic rocks of various geneses, as well as in mafic metamorphic rocks. The structure of the mineral haslong beenknown (Bragg and West, 1926; Gibbs et al., 1968). It consists of six- membered rings of Si tetrahedra lying in planes parallel to (0001). These rings are linked together both laterally and vertically by Be tetrahedraand Al octahedra forming a three-dimensionalframework that, accordingto the sil- icateclassification ofZoltai (1960), is to be considered as a tectosilicate. The structure contains channels parallel to the c axis where minor constituents such as alkali ions and water molecules can be located, as normally found in natural beryls. The presence of alkali ions is generally ascribedto the need to balancethe deficiencyofpositive charges resulting from the replacement of octahedral Al and tetrahedral Be by cations of lower valence, such as Fe2+, Mn2+, Mg2+, Li+, etc. The mineral shows varia- tions of physical properties becauseof a very complex crystal-chemical behavior. In spite of the numerous and

Reappraisal of the crystal chemistry of beryl C. Aunrsrccrrrothe structure of a natural beryl was reported by Solovyeva and Bakakin (1966). Recently a hydrous alkali-rich beryl was

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Page 1: Reappraisal of the crystal chemistry of beryl C. Aunrsrccrrrothe structure of a natural beryl was reported by Solovyeva and Bakakin (1966). Recently a hydrous alkali-rich beryl was

American Mineralogist, Volume 73, pages 826-837, 1988

Reappraisal of the crystal chemistry of beryl

C. AunrsrccrrroCentro di Studio per la Mineralogia e Petrologia delle Formazioni Ignee, C.N.R., 00100 Roma, Italy

G. Fronq.vANTr, O. GnunnssrDipartimento di Scienze della Terra, Universiti "La Sapienza," 00100 Roma, Italy

P.F. ZltNlizzt*

Dipartimento di Scienze della Terra, Universitd di Perugia, 06100 Perugia, Italy

Ansrnlcr

The complex crystal chemistry of beryl has been re-evaluated on the basis of new chem-ical analyses and X-ray structural refinements on beryl samples of different sources andcompositions.

The results show that main substitutions concern divalent and Li ions for Al in octa-hedral and Be in tetrahedral sites, respectively; both substitutions need the entry ofalkaliin the 2a position in the channels between the six-membered Si rings, whereas the 2bposition at the center of each ring is occupied preferentially by water molecules. The extentof the substitutions for Al and Be is limited by the imbalance arising from the bond-strength deficiency on O(2). The effect of these substitutions on the lattice parametersallows the definition of three beryl series on the basis of the c/a ratio: the "octahedral"beryls, i.e., beryls where Al = Me2+ represents the main isomorphous replacement, arecharacterized by c/a values in the range 0.991-0.996; the "tetrahedral" beryls, where Be+ Li is the main substitution, with c/a values in the range 0.999-1.003; the "normal"beryls with c/a ratios between 0.997 and 0.998 include those where the two substitutionsoccur together, though to a limited extent. A compositional gap exists between "octahe-dral" and "tetrahedral" beryls. The formation of beryls of a given series has been ascribedto the chemical constraints of the environment, such as the bulk-rock chemistry and thefluid-phase composition, and to the physical-chemical conditions during mineral growth.

accurate papers on beryl crystal chemistry, some intrigu-ing questions still persist: for example, it has not beenclear whether beryl forms a continuous isomorphous se-ries or two series with substitutions in the octahedral sitesand tetrahedral sites, respectively (Schaller et al., 1962;Bakakin et al., 1970). While there is general agreementthat divalent cations substitute for Al in octahedral sitesand Li for Be in tetrahedral ones, Beus (1960) and Evansand Mrose (1968) proposed Al-Li substitution in the oc-tahedron. Different distributions of cations such as Fe2*or Fe3* in tetrahedral or channel sites have been pro-posed to explain the electronic absorption, infrared, orM6ssbauer spectra (Wood and Nassau, 1968; Goldmanet al., 1978; Price et al.,1976). A subject ofcontroversyis also the location of alkali ions and water molecules inthe open channels of the structure, where two positions(2a and 2b) are available. The general interpretation ofthe residual electronic density in these sites has been thatHrO occupies the 0, 0, t/t (2a) position, as well as thelarger alkali ions (Cs*, Rb+, and K+); the smaller Na+ions would lie at 0, 0, 0 (2b), i.e., at the center of Si rings(Hawthorne and Cernj', 1977). A similar interpretationhas been assumed also to explain the difference-Fourier

* To whom correspondence should be addressed. maxima found in low cordierite, with similar structure

0003-004x/88/07084826$02.00 826

INrnooucrroN

Beryl, ideally AlrBerSiuO,r, is an accessory mineralfound in many pegmatites, in silicic rocks of variousgeneses, as well as in mafic metamorphic rocks.

The structure of the mineral has long been known (Braggand West, 1926; Gibbs et al., 1968). It consists of six-membered rings of Si tetrahedra lying in planes parallelto (0001). These rings are linked together both laterallyand vertically by Be tetrahedra and Al octahedra forminga three-dimensional framework that, according to the sil-icate classification ofZoltai (1960), is to be considered asa tectosilicate. The structure contains channels parallel tothe c axis where minor constituents such as alkali ionsand water molecules can be located, as normally foundin natural beryls. The presence of alkali ions is generallyascribed to the need to balance the deficiency ofpositivecharges resulting from the replacement of octahedral Aland tetrahedral Be by cations of lower valence, such asFe2+, Mn2+, Mg2+, Li+, etc. The mineral shows varia-tions of physical properties because of a very complexcrystal-chemical behavior. In spite of the numerous and

Page 2: Reappraisal of the crystal chemistry of beryl C. Aunrsrccrrrothe structure of a natural beryl was reported by Solovyeva and Bakakin (1966). Recently a hydrous alkali-rich beryl was

(Cohen et aI. 1977i Wallace and Wenk, 1980; Armbrus-ter, 1985, 1986). The undoubtedly complex picture of thebehavior of major and minor constituents in the berylstructure is not fully substantiated by completely ade-quate structural information. Whereas several refine-ments on anhydrous or hydrous synthetic beryls have beendone (Gibbs et al., 1968; Morosin, 19721,Hazen et al.,1986, for the high-pressure structure), quite surprisinglyvery few accurate single-crystal structural determinationshave been published on natural beryls: only two Cs-richberyls have been described (Bakakin et al., 1970; Haw-thorne and Cernj', 1977). Another refinement on a Cs-rich beryl was announced by Evans and Mrose (1968);the structure of a natural beryl was reported by Solovyevaand Bakakin (1966). Recently a hydrous alkali-rich berylwas studied at different temperatures by Brown and Mills(1986). With the idea that a thorough study of the struc-tures of natural beryls could offer the basis for the un-derstanding of crystal-chemical behavior of this mineralfamily, we started with chemical and structural determi-nations on some samples from different sources and withdissimilar chemical contents.

Slupr-r DEscRIprIoNS

The 30 beryl samples studied in this work are describedin Table l: 28 are natural beryls from different depositsand geneses; 2 are synthetic beryls grown in our labora-tory by flux method in LirMorO, (Flamini et al., 1983).Several samples come from sources described in the lit-erature. For some of them, partial or complete chemicalanalyses were available. Sample 6 was obtained from theSmithsonian Institution (no. 117199) as the "unusual"beryl described by Schaller et al. (1962), but our chemicalresults don't agree with the published analysis. Samples7 and 8 are fragments taken from the core and the rimof the zoned red beryl from Utah. This beryl, found in arhyolite, as describedby several authors (Hillebrand, 1905;Shigley and Foord, 1985), is peculiar in that it is theunique natural beryl so far discovered with no water, asinferred by the infrared spectra (Nassau and Wood, 1968).Sixty-five complete and reliable analyses, reported in thepapers by Schaller etal. (1962), Ganguli (1968), Bakakinet al. (1970), Hall and Walsh (1971), De Almeida Sam-paio Filho et al. (1973), Hawthorne and Cernj' (1977),Barabanov (1980), Brown and Mills (1986), Ghera andLucchesi (1987), and Lucchesi and Mairani (1987), afterrecalculation according to our partition criteria, were usedfor statistical comparisons and correlations and are plot-ted together with our data.

ExpnnrltnNTAl DETAILS

Analytical procedures

Chemical analyses were performed lrith the electron-mrcro-probe analyzer JEoL JxA-soA equipped with two crystal spectrom-eters (wos) and with the lrr.lr sysrEMs aoo energy-dispersivespectrometer (nos). Operating conditions were l5-kV accelerat-ing voltage and 2-nA and 20-nA specimen current fer pos andwos, respectively. The analyses were carried out mainly by ros,

827

\ /ith Na and Mg contents also determined by wos. Spot size wasabout 4 pm to minimize the volatilization of light elements.Synthetic diopside (Mg, Si, and Ca), corundum (Al), olivine (Fe),rutile (Ti), jadeite (Na), orthoclase (K), pollucite (Cs), and pure

elements (Mn, Cr, and V) were used as standards. The data cor-rection was obtained using the ZAF-4 ns programs supplied byLrNK sysrEMs. At least 20 analyses for each sample were run toobtain a representative mean value over the whole crystal. Be,Li, and Rb were analyzed by a Perkin Elmer 5000 spectrometerequipped with graphite crucible. The procedures suggested byBernas (1968) and De Almeida Sampaio Filho et al. (1973) wereemployed to dissolve the beryls and to determine the analyticalconditions. To avoid matrix interferences, standards of similarcomposition were used. The water content was determined byweight loss on ignition (L.O.I.). The weightJoss determinationwas carried out by thermal gravimetric analyses (roa), on about5 mg of material for each specimen, with a rcs-z Perkin Elmerthermogravimetric system. The temperature range was 25-900.C; the thermal gradient was 10 "C min-' in static air. The re-sults of the chemical analysis are given in Table 2, together withthe structural formulae recalculated on the basis of 18 oxygens.The cation partitioning among different structural sites was madetaking into account our single-crystal evidence. The total Fe con-tent from the microprobe results was subdivided into Fe2* andFe3+ on the basis ofcharge balance.

Lattice pararneters and refractive indices

The unit-cell parameters of the samples not subjected to sin-gle-crystal analysis were obtained by the powder method. Anautomatic Seifert nzrv diffractometer equipped with Ni-filteredCuKa radiation was employed. Pure Si powder was used as in-ternal standard. The effects ofpreferred orientation were elimi-nated by reducing the dimensions of the grains to l0 pm androtating the samples. At least 25 univocally indexed diffractionlines were used to refine the cell dimensions by the least-squaresmethod (Appleman and Evans, 1963). The results are given inTable 3. Some samples showed weak diffraction lines that couldnot be indexed on the basis ofthe beryl hexagonal lattice. Thiswas ascribed to some inclusions in the crystals and not to anactual lowering of the crystal symmetry. This was confirmed alsoby rer'r studies on one "anomalous" specimen (M. Mellini, pers.comm.) showing only a mosaic spreading of hexagonal domains.

The o and e refractive indices were measured with a Krussrefractometer using Na light, with an accuracy of +0.003. Theresulting values are listed in Table 3.

Single-crystal X-ray measurements and structurerefinements

Among the 30 specimens from different sources at our dis-posal, we chose 15 for single-crystal X-ray analysis: two syn-thetic beryls, some beryls with high contents of divalent cations(Fe and Mg), two lithian-sodic beryls, some Li-Cs-rich beryls,and the anhydrous red beryl from Utah.

Single crystals for the X-ray work were mounted on the go-niometric head of a Philips PWl100 automatic four-circle dif-fractometer equipped with graphite-monochromatized MoKaradiation (I : 0.71069 A1. Since beryl crystals are often zoned,particular care was taken in the choice of the fragments. Toobtain the best correlation between structural and chemical data,when possible the fragments were taken from the small chipsused for the microprobe analysis. In other cases, the same crys-tals used in the X-ray measurements were analyzed after datacollection.

AURISICCHIO ET AL.: CRYSTAL CHEMISTRY OF BERYL

Page 3: Reappraisal of the crystal chemistry of beryl C. Aunrsrccrrrothe structure of a natural beryl was reported by Solovyeva and Bakakin (1966). Recently a hydrous alkali-rich beryl was

828 AURISICCHIO ET AL.: CRYSTAL CHEMISTRY OF BERYL

TABLE 1. Description, localities, assemblages, and selected references for beryl specimens

Description Occurrence Geologic environment and reference Mineral association

1 0

1 Dark blue

2 Light blue

3 Dark blue, zoned

4 Dark green, zoned

5 Light green

6 Blue

7-8 Zoned pink to redfrom rim to core

9 Green

Dark green

Pale greenBlueLight blue

Light blueVery pale blue

Yellow

17 Very pale blue

18 Pale pink19 Light blue (core of

no. 20)20 Pale pink (rim of

n o . 1 9 )21 Colorless

22 Pink

23 Green

GreenPale pink rosterite

Light greenPinkPale pink

ColorlessDark green

Calcaferro mine, Pietrasanta,Tuscany, ltaly

Calcaferro mine, Pietrasanta,Tuscany, ltaly

South side of Mount Cervan-done, Val d'Ossola, Pied-mont, ltaly

Mingora, Swat Valley, Pakistan

Pizzo Marcio, Val Vigezzo,Piedmont, ltaly

Mohave County, Arizona,U.S.A. No. 117199, Smith-sonian Institution

Violet Claims, Wah Wah Moun-tains, Beaver County, Utah,U.S.A.

Carnaiba, Bahia, Brazil

Muzo, Colombia

Jos, NigeriaKaroi, Miami district, ZimbabweMursinka, Ural Mountains,

U J D h

Nuristan, AfghanistanCava Grignaschi, Trontano, Val

d'Ossola, Piedmont, ltalyFort victoria field, zimbabwe

S. Piero in Campo, lsolad'Elba, Tuscany, ltaly

Mount Bity region, MadagascarMinas Gerais, Salinas mine,

BrazilMinas Gerais, Salinas mine,

BrazilMinas Gerais, Salinas mine,

BrazilNuristan, Mawi mine, Afghani-

stanHabachtal, Untersulzbachtal,

Salzburg, Austria

Morrua, ZambesiaS. Piero in Campo, lsola

d'Elba, Tuscany, ltalyUral Mountains, USSRMujane mine, ZambesiaPala, California, U.S.A.

Weakly metamorphic greenschist facies withinterlayered bed or lenses of quartzitesand carbonate rocks "Unita di Fornovolas-co-Panie" (this work)

Same as no. 1

Feldspatic vein crossing the "Monte Leonegneiss" (Henni, 1980)

Ouartz-calcite-talc oockets in dolomitic talcschist intruded by serpentinized ultramaficdikes (Gubelin, 1982)

Desilicated albitic pegmatite and serpentinite(Hanni ,1980)

Granitic pegmatite (Schaller et al., 1962)

Kaolinized rhyolite (Shigley and Foord, 1985)

Biotite schist (Sauer, 1982)

Dolomite-calcite veins imbedded in black py-ritiferous argillites intercalated with lime-stone (Keller, 1981)

Pegmatite (Lind et al., 1984)Pegmatite (pers. comm. of dealer)Pegmatite (Sinkankas, 1981)

Pegmatite (Bariand and Poullin, 1978)Pegmatite (this work)

Granitic albitized pegmatite (Tynsdale-Bis-coe,1952)

Pegmatite (this work)

Pegmatite (Sinkankas, 1 981)Pegmatite (Proctor, 1984)

Pegmatite (Proctor, 1984)

Pegmatite (Proctor, 1 984)

Pegmatite (Bariand and Poullin, 1978)

Biotite, talc, and actinolite schists betweenserpentinites and metapelites or metavol-canic rocks near the central gneiss (Franzet a l . , 1986)

Biotite schist (Gubelin, 1982)Pegmatite (this work)

Biotite schists (Vlasov and Kutukova, 1960)Pegmatite (Hutchinson and Claus, 1956)Pegmatite (Jahns and Wright, 1951)

Flux-fusion synthesisFluxJusion synthesis

Pyrite, barite

Dolomite, barite, quartz, magne-tite, and hematite

Feldspar

Quartz, schorl, talc, ankerite,calcite

Albite, bertrandite, chlorite,scheelite, pyroclore

Schorl, quartz, feldspar

Feldspar, quartz, bixbyite

Quartz, phlogopite, apatite, bio-tite, molibdenite

Calcite, dolomite, ankerite, par-isite, aragonite, pyrite, quartz,apatite

Feldspar, quartzFeldspar, quartz, lepidoliteFeldspar, quartz, schorl

Quartz, schorl, feldsparQuartz, feldspar, bavenite, tan-

teuxeniteMuscovite, lepidolite, cassiterite,

tourmalineFeldspar, quartz

Feldspar, quartz, elbaiteFeldspar, quartz, elbaite, albite,

lepidoliteSame as no. 19

Same as no. 19

Feldspar, quartz, elbaite, spod-umene

Biotite, actinolite, oellacherite,quartz, schorl, bertrandite,pyrite, dolomite, galena, phen-akite, chrysoberyl

Biotite, quartzLepidolite, pollucite, petalite,

quanzBiotite, actinoliteFeldspar, quartz, muscoviteFeldspar, quartz, elbaite, lepido-

lite

1 11 2l 2

't41 5

1 6

2425

262728

S1S2

The cell parameters were determined by the least-squaresmethod applied to the d values ofabout 30 reflections measuredwith the routine u.r of the diffractometer. The lattice constarrtsand the cell volumes are reported in Table 3. For each crystalabout 1300-1800 reflections from equivalent sectors ofrecip-rocal space were measured in the 2-35" 0 range by the o-20 scantechnique. The intensity data were corected for Lorentz andpolarization factors. An absorption correction was applied ac-cording to the semiempirical method of North et al. (1968); thevalues of the corrected intensities were merged to obtain a"unique" set ofindependent data. R* were in the range 0.01-

0.03, again showing that the symmetry of the beryl samples isactually hexagonal. For each sample a number of reflectionsranging between 400 and 550 with I > 3o(I) was employed inthe least-squares refinement. The computations were carried outwith the full-matrix program in the sxst-x-zr crystallographicpackage (Sheldrick, 1976) starting from the atomic coordinatesof synthetic beryl, space grottp P6/mcc (as determined by Gibbset al., 1968). Individual anisotropic thermal parameters wererefined for each atom. After several least-squares cycles, differ-ence-Fourier maps were calculated. All natural samples showedintrachannel residual maxima of electronic density in positions

Page 4: Reappraisal of the crystal chemistry of beryl C. Aunrsrccrrrothe structure of a natural beryl was reported by Solovyeva and Bakakin (1966). Recently a hydrous alkali-rich beryl was

y = _ x + 2( r = - O 9 9 9 )

AURISICCHIO ET AL.: CRYSTAL CHEMISTRY OF BERYL 829

oo u /

l

of@ o 5

o

! 0 4

0 2

0 1

Fig. |. Linear correlation between octahedral Al content and"octahedral substitutions," i.e., the sum of Fe2+ and Mg (plusminor Fe3+, Cr3*, V3*, tnt*, Tio*). Atoms per l8 O.

where alkali ions andlor water molecules are expected: a distri-bution of the scattering material over these sites was made onthe basis of the microprobe analysis. The criteria adopted willbe described later. For the atoms in tetrahedral and octahedralsites, mixed scattering curves were employed on the basis of thechemical analysis, with the constraint that the sites be totallyoccupied. The scattering curves ofneutral atoms were taken fromthe International Tables for X-ray Crystallography (1974). Therefinement converged to R values in the range 0.02G{.054 (meanvalue, 0.03). Bond lengths and polyhedral parameters are listedin Table 4. Complete listing of fractional atomic coordinates,thermal factors, and observed and calculated structure factorsare given in Tables 5, 6, and 7, respectively.r

Crrslvlrsrnv oF BERYL

The SiO, content is rather constant, varying in the range63-66 wto/o. An excess of Si atoms is often observable inthe unit formulae; this excess could be ascribed to highsilica activity in the crystallization environment and canbe assigned to the Be tetrahedron.

AlrO, shows the widest variation, ranging from I1.72to 18.90 wto/0. The deficiency of octahedral Al is corre-lated to Fe2+ and Mg (plus Fe3+, Cr3+, V3+, Mn2+, Tia+)content (Fig. l), confirming the mutual substitution ofthese ions in the octahedral sites ("octahedral" beryls).

The Be content shows an opposite trend with respectto Al. It is close to the stoichiometric value in the "oc-tahedral" beryls, where its tetrahedral site is completedby small quantities of Si (max. 0.1 l5 atoms) or Al (max.0.077 atoms). It becomes lower in the samples where Licontent is higlrer. Figure 2 shows the negative correlationbetween Be and Li, indicating that Be is partially replacedby Li in the tetrahedral sites ("tetrahedral" beryls).

Alkali ions (Rf) enter the beryl structure to satisfycharge deficiencies, and their content is correlated withthe amount of substitutions in the octahedral and tetra-

' A copy of Tables 5, 6, and 7 may be ordered as DocumentAM-88-371 from the Business Ofrce, Mineralogical Society ofAmerica, 1625 I Street, N.W., Suite 414, Washington, D.C.20006, U.S.A. Please remit $5.00 in advance for the microfiche.

0 1 0 2 0 3 u c u c

Fig.2. Linear correlation between Be and Li. Atoms per 18 O.

hedral sites. Taking into account the substitutions with

ions carrying charge unlike that of the main cations, thefollowing equation can be written:

Rf : [A(T',)] + [Fe'z+] + [Mg] + [Mn]- tril - 2[S(r')] - tA(r')l + [Lil, (l)

where T' and T" are the tetrahedral sites of Be and Si,respectively (brackets without a site symbol refer to oc-tahedral sites).

Figure 3 shows the correlation between Cs, Rb, K, andNa and the sum of cations of the right side of Equationl. Of these alkali elements, Na is always present, whereasCs is present especially in the Li-rich beryl, as observedby Bakakin and Belov (1962). Rb and K are near to thedetection limits, with the exception of the red beryl fromUtah (samples 7 and 8), which is K-rich, probably be-cause of its genesis (Aurisicchio et al., 1986). Minoramounts of CrrOr, MnO, TiOr, and VrOr were some-times observed as traces. They are expected to play animportant role in beryl coloring.

RnrrNBlmNT RESULTS

Synthetic beryls

The two synthetic samples give very similar results.The geometry for Si, Al, and Be polyhedra is in perfect

agreement with the results reported by Gibbs et al. (1968)

and Morosin (1972) for the analogous compounds.In particular the Si tetrahedron shares two vertices

through O(l) with neighboring tetrahedra to form a hex-agonal ring, and two vertices [O(2)] with two different Betetrahedra and Al octahedra. As observed by Gibbs et al',despite the differences in bond lengths tsi-O(l) and Si-O(2) average 1.594 and 1.622 A', respectivelyl, the tet-rahedral angles are close to the ideal value: the bond-angle variance, o2 (Robinson et al., l97l), is 1.6 deg'z.The bond-valence sums for O(l) and O(2), computed with

the method of Brown and Wu (1976), ate 2.07 and 1.96,respectively.

In contrast, the 4-fold coordination polyhedron around

y = - 0 984 x +2 961( r = - 0 989 )

Page 5: Reappraisal of the crystal chemistry of beryl C. Aunrsrccrrrothe structure of a natural beryl was reported by Solovyeva and Bakakin (1966). Recently a hydrous alkali-rich beryl was

830 AURISICCHIO ET AL.: CRYSTAL CHEMISTRY OF BERYL

Tnele 2. Chemical analyses of the beryls described in Table 1

l 11 0I Q2423

sio,Alr03FeOMnOMgoCr.O.VrO.Tio,NaroKrOcsroRbrOLirOBeOL O . r .

Total

64.42 64.63 64.93 64.7711.72 1410 13 .63 13 .634.62 3.83 2.22 1.22

2.31 1.27 2 44 2.600.98

2 2't 2.35 2.46 1 .90

0.31

0.07 0 07 0.05 0.031255 13 .02 1318 12 .961.70 n.d. n d. 2.2O

99.91 99.27 98.91 100.29

u.oo u.ooo 6 000 ujoo

1 .307 1 525 1 .489 1.4700.074 0 0110 292 0.299 0.162 0.095

0 327 0.177 0.338 0.3620.072

2.859 2.916 2.942 2,9070.027 0.026 0.019 0.01 10.111 0.029 0.036 0.0500.003 0 025 0.004 0.030

0.418 0.425 0.443 0.3440.406 0 425 0.443 0.344

0 0 1 2

64.24 65.16 63.60 64.6914.95 14.25 14.54 1 6.052.97 0.76 0 38 0.81

o.82 3.08 2.27 1.860.35

1 73 2.25 1.72 1.35

0.99

0.26 0. ' t2 0.04 0.0412.77 12.94 13.01 13.001.50 2.00 2.60 2.00

100.23 100.56 98 51 99.80

66.1515.992.250.64o.17

u.cc0 3 00.220.330.100.03

13.400.00

100.1 3

1 1 50 2 6

1 . 1 5

0.1013.272.30

100.48

6 000

1.784

0.038

0.1590.019

2.9370.0370.0080.016

65.18 65.5916.57 18.250.50 1 .16

65.34 65.6616 .51 17 . 900 .31 1 .26

u-d I

o.37u.04

0.49

o.0213.37 13.612.40 1 .10

100.30 99.55

6.000 5 9910.009

1 .782 1.9040.096

0 024

0 . 1 1 90.0270.047

2.960 2.9820.007

0.0250.012 0.012

66.4518.021 .060 .17

0.26 0.35

0.380.060.04

13.46 13.660.70 0.00

99.42 100.19

0.078 0.0880.061 0.088

0.0150.002

6 oac

0.004

1 . 9 1 10.0020.085

0 35s 0.4040.315 0 404

0.040

S iAI

AIFe3*Fe2'MnMgCr

Ti

BeL I

SiAI

RrNaK

Rb

T" site6.000 6.000 6.000 6.000 6.000

Octahedral site1 .652 1 516 1 .623 1.680 1.7180.040 0.012 0.0300 193 0.047 0.030 0.063 0.142

0.0490.1 15 0.425 0.320 0.257 0.023

0 026

0.038

T, site2.876 2 879 2.960 2.899 2.9400.098 0 045 0.01s 0.015 0.0110 025 0.037 0.025 0.008 0.045

0 040 0.077 0.004

6.000

1.9070.0030 0770.013

2.953 2.9650.0140.007

0.047 0.012

2a site0.316 0.243 0.095 0.206 0.0460.316 0 243 0.053 0.206 0.046

0 0260.0130.003

Nofe: Atomic proportions are computed on the basis of 1 8 oxygens. The natural samples are listed in order of increasing cla rclio. L.O.l. : loss onignition; n.d : not determined; dash : below detection; Fe3* by charge balance.

0 0 1 0 2 0 3 0 4 0 5

Fig. 3. Correlation between alkali content of the channels(Ri : Cs* + Rb+ + K+ + Na+) and the sum of divalent cations,Li*, and the other ions listed in the right side ofEquation 1.Atoms per l8 O.

Be is strongly distorted; the four equivalent Be-O(2) bondlengths are 1.656 A, with a tetrahedral bond-angle vari-ance of33l deg'?.

Also the 6-fold polyhedron around Al is distorted, withsix equivalent Al-O(2) distances of 1.906,4.. Each coor-dination polyhedron around Al shares three edges withthree different Be tetrahedra. These edges are shorterthanthe other edges ofthe polyhedron (2.359 A versus 2.848and 2.712 A;. fne resulting geometry for the Al polyhe-dron is that ofan octahedron flattened along [001]. Thequantification ofthe distortion in the octahedron can beachieved through the bond-angle variance, which is 74.5deg'.

Natural beryls

First of all let us consider the results from the refine-ment of the Utah red beryl. As the crystals are zoned,two fragments-one from the core and one from the rimof the crystal-were chosen for the X-ray single-crystalstudy (samples 7 and 8). After several cycles of least-

Al i ' * t t t lgz ' -1 i -25ir ' - Al i * L i (a. t . u. )

Page 6: Reappraisal of the crystal chemistry of beryl C. Aunrsrccrrrothe structure of a natural beryl was reported by Solovyeva and Bakakin (1966). Recently a hydrous alkali-rich beryl was

AURISICCHIO ET AL.: CRYSTAL CHEMISTRY OF BERYL 8 3 1

Teate 2-Continued

S120221 0211 8281 71 61 5261 4t z

65.73 65.9217 74 17 .85

1 20 082

o.32

0.38 0.57

0 08 0.0513 34 13.521 . 1 0 0 9 0

99.s7 99.9s

6 000 6.000

1.908 1 8940 004

0.092 0.059

0.043

2.937 2.9560.029 0.0180.025 0 0020.008 0.021

0.067 0.1010.067 0.101

65 14 65.7517.72 17.75024 0 57

o.44 0.42

0.51 0 51

0.05 0.091 3.46 13.462 30 1.00

99.86 99.55

6.000 6.000

1.921 1 .9000 023

0.018 0.020

0.060 0.057

2.978 2.9520.018 0 0330.001 0.0050.003 0 011

66.17 66.72 63.991 8.52 1 8.54 1 8.19o.32 0.50

0.37

0.15 0.26 0.s5

0.30 2.27

0 02 0.26 0.5613.71 13.18 12.191 .10 0.80 0.90

99.99 100.56 99.02

6.000 6.000 6 000

1.976 1 .962 1 .971

0.024 0.0380.029

2.986 2.861 27460.007 0.094 0.2110.002 0 031 0.0030.004 0.013 0.040

0.0260.026

0.058 0.1910.046 0.100

0.012 0.091

65.67 65.2218.82 18.35

0.77 1.01

0.76 0.57

0.46 0.7212.79 12.200.90 0.30

100.10 98.37

T" sites.996 6.0000.004

Octahedral site2.000 2.000

T' site2.804 2.7080.169 0.268

0.0290.020

2a site0.166 0.2030.136 0 .181

0.030 0.022

64.16 63.2018.06 17 .95

1.57 1 .30

2.10 3 .240.02 0.051 . 1 9 1 . 0 3

11.12 1 1 .381 .30 1.20

99.52 99.35

6.000 6.000

2.000 2.000

2.512 2.5960.450 0.3930.037 0 0040.002 0.009

0.371 0.3720.286 0.239

0.084 0 1310.001 0.002

63 54 63.2917.92 17.76

1.44 1 .23

3.97 3.790 06 0.051.33 1 .30

10.74 10.791 .00 1 .10

100.00 99.31

6.000 6.000

2.000 1.998

2.450 2.4740.508 0.4990.036 0.0430.006

0.428 0.3840.265 0.228

0.161 0 1540.002 0.002

63.10 66.32 66.4817.93 18.76 18.90

0.53

0.74

1.41 0 .27 0 .14

3.680.04| -zz

1 0.90 13.88 13.781.40 0.00 0.00

99.68 99 76 100.04

6.000 5.971 s.9690.029 0.031

2.000 1.9600.0170.023

1.947

0.053

2.497 3.001 2.9710.4680.0200.016 0.001 0.021

0.412 0.0470.261 0.047

0.1500.001

0.0240.024

0.091 0.0900.091 0 090

squares r€finement, a difference-Fourier synthesis for bothsamples showed two peaks of residual electronic density,at the position ofthe octahedral site and in the 2c posi-tion, i.e., at 0, 0, 7+ in the channel between the Si rings.No maxima were detected inthe 2b position, i.e., at 0, 0,0 at the ring center. The refinement was therefore contin-ued by including the contribution of K and Na at the site2a and of Fe (and Mg and Mn) in the octahedral site, inthe amounts determined by the microprobe analysis. Thefinal agreement between observed and calculated struc-ture factors was very satisfactory (R : 0.020 for bothcrystals). Since the Utah beryl is the unique natural berylwith no water content, a tentative hypothesis was that thealkali ions (the so called Rf ions : Cs*, Rb+, K+, Na+),when present in beryls, occupy exclusively the 2a site,whereas the water molecules always present in the othernatural beryls preferentially lie in 2b sites. This conclu-sion contrasts with that reported by Hawthorne and Cer-ny (1977) and later used by Brown and Mills (1986) tointerpret the residual electron density in the Harding ber-

yl. The crystal-chemical validity of this hypothesis, al-ready argued by Bakakin and Belov (1962), is supportedalso by the geometry features of the 2b sites, which havean atomic environment similar to the centers of the hex-agonal oxygen rings in layer silicates or in amphiboles:water molecules would complete the closest packing ofoxygen layers and could act as "support" for small cat-ions like Na or Ca possibly present in 2a sites. The dis-tance between the center of the ring and the oxygen atoms(about 2.55 A; corresponds to a short hydrogen-bond,and this fact, together with the presence of alkali ions"plugging" the channels, could explain the unusually hightemperature necessary to release this "zeolitic" water inberyl (e.g., Aines and Rossman, 1984; Brown and Mills,1986). Both hypotheses on the H'O location are probablyvalid, and actually water molecules may well occupy 2aas well as 2b positions in the channels. This could explainthe presence in the infrared spectra of two HrO types(Wood and Nassau, 1967; Polupanova et al., 1985) thathave been explained as being due to two different orien-

Page 7: Reappraisal of the crystal chemistry of beryl C. Aunrsrccrrrothe structure of a natural beryl was reported by Solovyeva and Bakakin (1966). Recently a hydrous alkali-rich beryl was

832

TneLe 3. Lattice parameters (A), c/arclio, cell volumes (A3), andrefractive indices of the bervls listed in Table 1

AURISICCHIO ET AL.: CRYSTAL CHEMISTRY OF BERYL

3 9.2736(11)1 9.2666(s)2 9.2676(6)4 9.263(1)6 9.2531(7)s 9.2s7(1)

23 9.249(1)24 9.2367(1)7 9.2364(8)I 9.226(1)

13 92179(14)8 92242(31

1 0 9.21 8(1)1 1 9.21 9(1)12 9.2202(10)14 9.220(1)26 9.2176(5)1 5 9.21 7(1)16 9.2097(12)17 I 21s(1)25 I 216(1)28 9 .213(1)18 9 .215(1)21 I 218(1)19 9 2155(8)27 9 .217(1)22 9.2148(3)20 9.2097(4)sl 9.2077(6)s2 9.2051(5)

9.1 91 0(25)9.1874(4)I 1 945(3)9.1 99(1 )9.1 91 8(5)9 201(1)9.200(1 )9.1 903(2)e.1 933(4)9.1 92(1 )9.1 863(9)9.1 934(2)e 18s(1)9.1 92(1 )9.1 960(6)9.1 97(1 )s.1 968(3)9.1 96(1 )9.1 943(7)9.200(1 )9.207(1 )9.212(4)9.218(3)9.230(1 )I 2291(5)s.233(1)9.2318(3)9.2337(4\9.1 953(s)9.1 953(4)

0.9911 684.50.9915 683.20.9921 683 90.9931 683.60.9934 681 60.9940 682.80.9947 681.60.9950 679.00.9953 675.20.9963 677.60.9966 676.00.9967 677.40.9969 676.20.9971 676.60.9974 677.00.9975 677 10.9977 676.70.9977 676.60.9983 675.40.9984 676.60.9990 677.20 9999 677.11.0003 677.91 .0013 679.21 .0015 678.81 .0017 679.31 .0018 678 I1.0026 678.30.9987 675.10.9989 674.8

1.603 1 .595n.d. n.d.n.d. n.d.

1.599 1.590n.d. n.d.

1 .591 1.5851 .591 1 .5841 .589 1.5821 .580 1 .5751.587 1.5801 .576 1 .5701 .571 1 .5681.580 1 5761.578 1 .5701 .588 1 .5811 .585 1.5801.582 1.5761.586 1.5801 .580 1.5771.589 1.5851.590 1.5831 586 1.5801 . s89 1 .5801.594 1.5891.590 1 .5831 .598 1 .5901.s97 1.5891.595 1.587n.d. n.d-n.d. n.d.

ivote. Estimated standard deviations in parentheses refer to the lastdigit; n.d. : not determined. The cell constants reported with four decimalplaces were determined by the single-crystal method.

tations of the H-H vector. It is also possible that wateroccupies the 2a sites as the complex HrO+ ion, balancingthe positive charge deficiency due to either trivalent-di-valent substitution in the octahedron or Li* entry in theBe tetrahedron. However, the hypothesis that HrO mol-ecules occupy preferentially the 2b sites was satisfactorily

used as a criterion to distribute the alkali cations (Na, K,Rb, and Cs) and the water molecules in the channel sitesduring the refinement of the other natural beryls. All thesecrystals present residual electron-density maxima in the2a and 2D positions, which can be accounted for with theamounts of alkali ions from microprobe analysis (in 2a)and with 0.64.7 HrO molecules per formula unit (in 2r).

Cnvsr,ql cHEMrsrRY

The results of the single-crystal X-ray study on oursynthetic and natural beryls, as well as those taken fromthe accurate determinations reported in the literature, weresubjected to statistical analysis. Some of the most signif-icant correlation coefficients among chemical and struc-tural parameters are listed in Table 8.

It is confirmed that two kinds of cationic substitutionstake place in natural beryls: those in the distorted octa-hedron and those in the BeOo tetrahedron.

Substitutions in distorted octahedron

The Al3+ in the distorted octahedral site can be substi-tuted for by ions of comparable size; among these ionsthe most important ones are Mg'* and Fe2*, with minorMn2+, Cr3+, Fe3+, Tia+, and other less abundant atomicspecies. The substitution for Al by Mg and/or Fe has twomain effects on the structure: the volume of the polyhe-dron must increase to receive ions with greater radii,therefore an elongation of Me-O distances would be ex-pected as well as an increase in the distortion ofthe po-lyhedron, since the length of the edges shared with BeOoadjacent groups is constrained by the dimensions oftheBe tetrahedron. Furthermore, the Al + Me2+ substitutionwould have the effect of reducing the distortion in theBeOo group. These effects are actually observed; from thestatistical analysis of our results, there are positive cor-relations among the content of divalent ions, the cation-oxygen distance, the volume ofthe site, and the octahe-

TreLe 4. Bond distances (A), site volumes, bond-angle variance o, (degr), agreement factors, and number of reflections used in theleast-squares refinements

1 6t zS2S 1

si-o(1)-o(1)-O(2) x 2

Meanv(4")02

Be-O(2) x 4v(A")62

1.594(1) 1.593(1)1.594(1) 1.593(1)1.622(1) 1.621(1)1 608 1 6072.133 2.1291 .58 1 .62

1.6s6(1) 1.655(1)2.031 2.035

333 328

1.605(2) 1.606(1)1.604(2) 1.605(1)1 .617 (1 ) 1 .614 (1 )1 . 6 1 1 1 . 6 1 02.142 2.1354.46 5.44

1.654(1) 1.653(1)2.065 2.073

289 276

T" site1.603(2) 1.601(2)1.602(2) 1 .603(2)1 .61 6(2) 1 .615(1)1.609 1.6082.136 2.1323.26 3.61

T' site1.650(2) 1.655(1)2.060 2.070

275 290

1.598(1) 1.596(1)1.594(1) 1.595(1)1 .621(1) 1 .621(1)1.609 1.6082.134 2.1331.44 1 .64

1.595(1) 1.595(2)1 .601(1) 1 .595(1)1 .617(1) 1 .621(1)1.608 1 6082129 2.1322.58 1.58

1.655(1) 1.656(1) 1.659(1) 1.655(1)2.050 2.042 2.053 2.031

313 323 322 332

Octahedral siteAl-o(2) x 6 1 905(1) 1 906(1) 1.938(1) 1.943(1) 1.947(2) 1.933(1) 1.920(1) 1.913(1) 1.913(1) 1.906(1)v(A1 1929 1943 9.322 9.427 9.478 9.297 9.127 9.036 9.043 8.945d 74.6 74.4 84.7 85.0 87.2 81.5 78.2 76.1 73.9 74.7

R 0 027 0.021 0.029 0.031 0.048 0.024 0.020 0.020 0.032 0.054

No. obs. 502 486 469 466 489 419 478 475 453 450

Nofe; Estimated standard deviations (in parentheses) refer to the last digit.

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AURISICCHIO ET AL.: CRYSTAL CHEMISTRY OF BERYL 833

dral bond-angle variance. In Figure 4 the octahedral Me-O distance is plotted against the content ofdivalent cat-ions; the correlation coefficient is 0.98. To attain the elec-tric neutrality, the substitution of trivalent cations withdivalent ones is compensated by some alkali ions in thechannels. These ions lie in the 2a position and are weaklylinked to O(l). They induce a distortion in the Si tetra-hedra, as seen by the increase ofbond-angle variance withtotal alkali content in the channels (correlation coefrcient: 0.86). Since the 2a position has twofold multiplicity inthe hexagonal cell of the beryl, there is an upper limit ofone alkali ion per 6 Si atoms, i.e., an upper limit of onedivalent ion in the two octahedral sites of the formula.Alkali ions do not contribute to the total valence sum onthe O(2) atoms, which will be to some extent unbalanced.A partial compensation is achieved by the shortening ofSi-O(2) bond length, but an extended diadochy is ham-pered. In the beryl from Cervandone (sample 3), whichis the richest in divalent cations in our series, the valencesum of O(2) is 1.87. For this reason, we think that theAl3* + Li+ substitution is highly unfavored and, there-fore, is highly unlikely.

Substitutions in BeOo tetrahedron

In the BeOo tetrahedron, the high correlation coefrcientbetween the cation-oxygen distance and Li content, aswell as the correlation shown in Figure 2, indicates thatLi enters the framework of beryl in substitution for Be.This confirms the model of Bakakin et al. (1969), thenegative correlation between Li and Be concentration ob-served by De Almeida Sampaio et al. (1973), and thestructural results of Hawthorne and Cern!' (1977). As inthe case of Al + Me2* octahedral substitution, the entryof Li* into the Be tetrahedron causes a bond-strengthdeficiency to O(2). In the Li-rich beryl from Afghanistan(sample 22),the valence sum of O(2) is 1.86. Also in thiscase, the electric neutrality is attained by the entry ofalkali ions of suitable radii into the channels, and there-

f ABLE -Continued

T" site1.602(1) 1.600(1)1 .61 0(1) 1 .601(1)1 .61 4(1) 1 .616(1)1 .610 1 .6082.134 2.1317.09 3.19

T 's i te1.676(1) 1.6s6(1)2.117 2.061

326 302

Fig. 4. a"t"ar.t 0",*..1",n. .;;""-;" otro*. ,tthe octahedron (A) and the sum of divalent cations. Atoms per18 0 .

fore there is an upper limit in the Be + Li substitution;only one-third of the tetrahedral positions can be occu-pied by Li*. The substitution of Li for Be-increasing thecation-oxygen distances and the volume of the Be tetra-hedron-partially releases the strain on the adjacent oc-tahedron; the O(2)-O(2) short edge increases in lengthfrom 2.359 A in synthetic beryl to 2.387 A in sample 22,which has 0.51 atom of Li per formula unit. Consequent-ly, the octahedral bond-angle variance decreases to 63.4degt.

Si tetrahedron

For the Si tetrahedron, all the refined beryls have thesame mean Si-O bond length (1.609 + 0.002 A;. fnisfact indicates uniform Si occupation at these ring posi-

tions.

Channel sites

With regard to the channel sites, the 2a site is occupiedby alkali ions (Na+, Cs+, K+, Rb+, and perhaps by HrO*and HrO). As pointed out by Cernf (1975), the kind ofalkali entering the channels, in absence of specific crystal-chemical constraints, depends on the bulk chemistry of

TreLe 8. The most relevant correlation coefficients betweenchemical and structural parameters from single-crys-tal refinement

T ' -o(2)

0.980.900.96

0.98 0.98u.60

- n o R

Note: a, c: lattice parameters; >Me'?*, Li, and Alk : sum of divalentcations (Fe2* + Mg + Mn), Li, and alkali metals (Na + K + Rb + Cs) inthe 2a site, respectively; t"tMe-O(2) : octahedral cation-oxygen bonddistance; f'-O(2): cation-oxygen distance in Be tetrahedron; o'? : bond-angle variance in T' (Be), T" (Si) tetrahedra, and in the Al octahedron.

262422201 9

1.603(2)1 .609(1 )1.612(2\1.6092.1 307.02

1.603(2)1.605(2)1 .612(1 )1.6082.1276.23

1.593(2)1.605(2)1 .616(1 )1 .6082.1292.89

1 .657(1 )2.045

322

-216rMe_

o(2)1.674(1) 1.67s(1)2 .113 2 .118

322 322

1 907(1) 1.906(1)9.003 8.986

64.3 63.10.045 0.036

463 467

Octahedral site1.903(1) 1.923(1) 1.914(1)8 951 9.172 9.052

63.4 79.0 74 1

0.033 0.028 0 039478 533 450

0.81

0.91LiAtk>Me2*

M e " l a f u \

Page 9: Reappraisal of the crystal chemistry of beryl C. Aunrsrccrrrothe structure of a natural beryl was reported by Solovyeva and Bakakin (1966). Recently a hydrous alkali-rich beryl was

834 AURISICCHIO ET AL.: CRYSTAL CHEMISTRY OF BERYL

@co 0 6

zoaq

6 " '

to

I0 2

i

,t ' .

J.'.?:0 1 ' l '

o3 ol",unj ir", " l l . , , ,r l , ln.

Fig. 5. The total substitutions in the Be tetrahedral site plot-ted against the total substitutions in the Al octahedral site. Thetwo different series are evident.

the parent rock. The 2b site is more or less filled by HrOmolecules. Owing to the multiplicity of the 2b positionin the hexagonal cell, the number of HrO molecules in2b can be at most equal to I per 6 Si atoms. When thenumber of HrO molecules is higher than l, water mustoccupy the 2a position. So the upper theoretical limit ofwater content in beryl is 2 minus the alkali content of 2a(per 6 Si). Among our samples, sample 23, which has thelargest weight loss on ignition (2.600/o), contains 0.79 HrOmolecules and 0.32 Na+ ions, having the channel 560/ofilled. Generally, pegmatitic beryl samples have a watercontent of 0.3-0.6 molecules per 6 Si (Vorma et al., 1965;Cernj, and Simpson, 1977; present work); higher H,Ocontents can be found in beryls from schists and veins.Among the 65 analyses from the literature taken into ac-count in the present work, the most HrO-rich beryl isfrom the Altai Mountains (number 24 in Bakakin et al.,1970), containing 0.9 H.O molecules per 6 Si atoms.

Compositional gap

In Figure 5 the total substitutions in the Al octahedralsite are plotted against the substitutions in the Be tetra-hedral site. Two beryl series are indicated by the impos-sibility of finding beryls in which divalent ions substitutefor trivalent ions in octahedral sites and monovalent ionssimultaneously substitute for divalent ions in tetrahedralsites to an extent near the upper limit imposed by themaximum possible content in the channels of one alkaliion per formula unit. Figure 6, a ternary diagram havingas end members AlrBerSiuO,r.zHrO ("normal" berylfRrAlMez*BerSiuO,, .zHrO ("octahedral" bery l ) -RrAlrBerLiSi.O,,.zHrO ("tetrahedral" beryl), shows theanalyses of a number of beryls. The compositional gap isevident.

Errocrs oF suBsTrrurroNs oNLATTICE PARAMETERS

As was shown by the statistical tests of De AlmeidaSampaio Filho et al. (1973), there are direct correlations

Fig. 6. Ternary diagram based on end members AlrBerSiuO,r'zHrO ("normal" beryl, I), RiAltBerliSiuO,r'zHrO ("tetrahe-dral" beryl, II) and RfAlMe'?*Be.SiuO,* zHrO ("octahedral"beryl, III). Black circles: present work; open circles: analyses fromliterature. The dashed line represents an interpretative boundarythat limits the compositional gap between "octahedral" and"tetrahedral" beryls.

between the a unit-cell edge and the divalent-ion contentand between the c unit-cell edge and the Li content inberyls. Our results confifin that observation, which canbe explained by recognizing that divalent ions increasethe cation-oxygen bond length in the octahedron; thisoctahedron, constrained by the short edges shared withBe tetrahedra, is flattened in the c direction, and thereforethe increase in length influences directly the value ofthed parameter. In contrast, an increase in tetrahedral cat-ion-oxygen distance due to Li + Be substitution is man-ifested as an increase ofthe length ofthe caxis. In Figures7 and 8, the values of a and c unit-cell edges are plottedagainst the c/a ratio. The break in slope clearly distin-guishes "octahedral" from "tetrahedral" beryls. From theexamination of these diagrams, it appears that there aretwo populations of beryls: those with substitutions pre-dominantly in the octahedral site and those with Li + Besubstitution in the tetrahedral site. For c/a values in therange 0.991-{.996,the Al content is sensibly lower than2 atoms per formula unit (a.f.u.), varying from 1.305 to1.784. In these samples, Be content is constantly near thetheoretical value of 3 a.f.u. (generally more than 2.9). Forc/avalues in the range 0.997-0.999, Al content rises to1.9 a.f.u. or more, and Be content is near the stoichio-metric values. These beryls are "normal" beryls. For c/avalues from 1.000 to 1.003, Al content becomes stoichio-metric, whereas Be content decreases to 2.43 a.f.u.

The different behavior of the lattice parameters for theAl + Mez+ and Be + Li substitutions reflects the oppositedistortion arising in the beryl structure with special re-gard to the octahedron and T' tetrahedron. These oppo-

I oo / \ oo

o '

o / \

Page 10: Reappraisal of the crystal chemistry of beryl C. Aunrsrccrrrothe structure of a natural beryl was reported by Solovyeva and Bakakin (1966). Recently a hydrous alkali-rich beryl was

AURISICCHIO ET AL.: CRYSTAL CHEMISTRY OF BERYL 835

a r = lo = 2r : 3t = 4

o = 5. = 6

v = B+ - 9

O 6

a

a

t1 t o

b o

^(F'l o 8v 6 u a

c la0.991 0.993 0.995 0.997 0.999 1.001 1.003

Fig. 7. The lattice parameter a (A) vs. the c/a ratro. The different trends correspond to "octahedral" and "tetrahedral" beryls.l :p resentwork ; 2 :Bakak ine ta l . (1970) ;3 :deAlmeidaSampaioF i lhoeta l . (1973) ;4 :Ha l landWalsh(1971) ; 5 :Barabanov(1980); 6 : Brown and Mills (1986); 7 : Hawthorne and Cerni 0977);8: Vorma et al. (1965); 9 : Ghera and Lucchesi (1987)and Lucchesi and Mairani (1981.

site efects could explain why "octahedral" and "tetra-hedral" substitutions form two distinct series.

CoNcr,usroNs

A natural beryl can be considered as a solid solutionin the ternary system between the end members (l)AlrBerSiuO,, . zHrO, (2) RrAlMe,+ BerSiuO,, . zHrO, and(3) RrAlrBerl-iSiuO,r.zHrO, where Rr represents Cs, Rb,K, and Na. Indeed a representative formula for a berylcouldbe (Rr),*uAlr-,Me]+Be3 ul-iusi6orr. zHrO,wherethesum x + j/ is theoretically between 0 and l, and z is

between 0 and 2 - x - y. These limits are imposed bythe crystal structure of beryl, i.e., by the maximum pos-sible content of alkali ions in the channels. Another lim-iting factor is the imbalance of O(2); "octahedral" and"tetrahedral" substitutions produce a bond-strength de-ficiency in bonds to O(2), and this situation lowers theallowed upper limit of x + / below l, in order to avoida too-low valence sum on O(2). Actually the values of x* y taken from our analyses and those from several ac-curate analyses in the literature are less than 0.5; z isnormally less than 0.8 with typical values of 0.3-0.6 in

c

t ? - -

^ i '

o ^ o

o o '

. a l

^ aio^ ^el cl

^.r{ \ "f a -

a

^ ao

a

a

o

c la0 991 0 993 0 995 0 997 0.999 1.001 1.003

Fig. 8. The lattice parameter c (A) plotted against the c/ a ratio. The different trends correspond to "octahedral" and "tetrahedral"beryls. Symbols as in Fig. 7.

Page 11: Reappraisal of the crystal chemistry of beryl C. Aunrsrccrrrothe structure of a natural beryl was reported by Solovyeva and Bakakin (1966). Recently a hydrous alkali-rich beryl was

836 AURISICCHIO ET AL.: CRYSTAL CHEMISTRY OF BERYL

pegmatitic beryls and greater values in some beryls fromveins and schists.

Indeed from a statistical study ofthe chemical analysesof the present work and those reported in the literature,it appears that there is a compositional gap between ber-yls with "octahedral" and "tetrahedral" substitutions andthat known beryl compositions fall in two distinct fields(Fig. 6). The reasons why the dominant substitution insome beryls is in the octahedron whereas in others it isin the tetrahedron are not completely clear, but we sug-gest that there are at least two kinds ofcontrolling factorsthat favor one or the other substitution. The most im-portant factor is the chemical constraint of the environ-ment, namely, the bulk-rock chemistry and the fluid-phasecomposition, as shown by the papers ofStaatz et al. (l 965),Cernj,and Turnock (1975), Cernj'and Simpson (1977),and Franz et al. (1986). The second factor could beascribed to the physical-chemical conditions during thegrowth of the mineral, namely, the pressure and/or tem-perature parameters. By applying the empirical formulaof Hazen and Finger (1982, p. l9l), the increase in com-pressibility coefficient B is greater for "tetrahedral" Be +Li substitution than for "octahedral" Al = Mg or Al +Fe substitution. This could lead to the conclusion that anincrease of pressure would favor the Li entry in theframework. This idea is supported by the fact that duringthe growth of beryls from LirMorO, flux under atmo-spheric pressure conditions (Flamini et al., 1983), crystalswith some octahedral substitutions (Cr3+, V3+, Fe2+, Co2+,Mn'*), but without Li, were obtained. Furthermore, thisresult is in agreement with the observation by Staatz etal. (1965) and Hiinni (1980) that beryls from Alpine veinscontain only small amounts of Cs and Li and are rela-tively richer in Mg, Fe, V, Cr, and Ti. Concerning thebehavior of beryl with increasing temperature, the studiesof Morosin (1972) onthe thermal expansion of pure berylshow that the lattice parameter a regularly expands withincreasing temperature, but that c undergoes a minimumaround 300'C. This minimum shifts toward lower tem-perature in emerald and disappears in the hydrous alkali-rich beryl studied by Brown and Mills (1986). Since thec axis is directly related to the size of Be tetrahedron andhence to its Li content, it could be argued that at rela-tively low temperatures, the Li substitution would be un-favored, and the entry of Mg and Fe2+ as substituents forAl would be preferred. Indeed, the studies by Franz et al.(1986) on the compositions of some metamorphic berylsfrom Austria show that the increase in temperature andpressure from 450 to 550'C and from 3 to 5-7 kbar,respectively, in three metamorphic events is accom-panied by a general decrease in the (Fe'?+ + Mg) + fsubstitution. Furthermore, the rim of the zoned crystalsformed during or after the uplift from an early high pres-sure to a late medium pressure, as shown by the textureof the beryls, is more rich in Fe2* and Mg than the core.Anyway these ideas need a major investigation with fur-ther experimental studies on the behavior of the berylstructure in different pressure and temperature condi-

tions, but the use of beryl as geobarometer or geother-mometer in pegmatitic or metamorphic processes seemspossible.

AcrNowr-ntcMENTS

The financial support of C.N.R. and Ministero della Pubblica Istruzione

is gratefully acknowledged. We thank Prof. M. Mellini for helpful discus-

sions and comments. V Jorio made the drawings.

RrrBnnNcns crrno

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AURISICCHIO ET AL.: CRYSTAL CHEMISTRY OF BERYL