Journal of Petrology | Volume 44 | Number 6 | Pages 967-994 | 2003
© Oxford University Press 2003
The Effect of Reaction Overstep on Garnet Microtextures in Metapelitic Rocks of the Ilesha Schist Belt, SW Nigeria
A. ZEH1,* and
M. B. HOLNESS2
1 MINERALOGISCHES INSTITUT DER UNIVERSITÄT WÜRZBURG, AM HUBLAND, D-97074 WÜRZBURG, GERMANY
2 DEPARTMENT OF EARTH SCIENCES, UNIVERSITY OF CAMBRIDGE, DOWNING STREET, CAMBRIDGE CB2 3EQ, UK
Telephone: +49-931-888-5414. E-mail: armin.zeh{at}mail.uni-wuerzburg.de
RECEIVED
JULY 15, 2001;
ACCEPTED
NOVEMBER 13, 2002
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ABSTRACT
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Garnet-bearing assemblages of K-rich and K-poor metapelites
from the Ilesha Schist belt, SW Nigeria, are investigated. K-rich
samples contain the assemblages (A) garnetstaurolitemuscovitechloritemagnetite,
(B) andalusitegarnetstaurolitemuscovitechloritemagnetite
and (C) sillimaniteandalusitegarnetmuscovitechloritemagnetite.
K-poor samples contain the assemblages (D) garnetstaurolitecordieritechlorite
and (E) garnetcordieritechlorite ± staurolite.
All assemblages contain quartz, plagioclase, biotite and ilmenite.
P
T pseudosections calculated in the system CaONa
2OK
2OTiO
2MnOFeOMgOAl
2O
3 SiO
2 H
2O ± O
2 suggest peak metamorphism
at 590 ± 20°C at 5 ± 0·5 kbar, followed
by retrogression to 550°C at 3·0 kbar, in agreement
with field evidence, domain assemblages, mineral compositions,
modes and geothermobarometry. The absence of compositional zonation
shows that garnet in all investigated rocks nucleated and grew
at constant
PTX in equilibrium with associated
minerals on the thin-section scale. However, the garnet-in reaction
did not begin until the establishment of a significant temperature
overstep of

80°C, with consequent rapid dehydration of chlorite-
and muscovite-bearing assemblages resulting in interface-controlled
garnet growth under locally hydrostatic pressure conditions.
Garnet in rock types A and B formed with a characteristic pattern
of biotite and quartz inclusionsa house of cards
texture. Additionally, clusters and aggregates of unzoned garnet
grains formed in rock types A and D. Garnet resorption in rock
types AC resulted from prograde staurolite- and retrograde
andalusite-forming reactions.
KEY WORDS: garnet microtexture; metapelite; THERMOCALC; pseudosection; reaction overstep; Nigeria
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INTRODUCTION
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The correct interpretation of microtextures, domain assemblages
and mineral compositions in metamorphic rocks is fundamental
to deciphering pressuretemperaturetime (
P
T
t)
paths in crustal terrains. In terms of equilibrium thermodynamics,
bulk composition alone is sufficient to predict mineral assemblages,
mineral compositions, intra-grain zonations and mineral modes,
as well as the onset of mineral reactions along a certain
P
T path in a chemically closed system. For a given bulk composition,
such predictions can be made using
P
T pseudosections
calculated using an internally consistent thermodynamic dataset
(e.g.
Holland & Powell, 1990,
1998).
However, equilibrium thermodynamics alone is insufficient for predictions of microtexture, which is also controlled by kinetic factors involving both heat and mass transfer (Fisher, 1978; Walther & Wood, 1984; Lasaga, 1986; Ridley, 1986). In certain circumstances thermodynamics can also be insufficient to explain intra-grain compositional zonations (e.g. Loomis, 1983; Chernoff & Carlson, 1997). Assuming that the heat transfer is sufficient to trigger mineral reactions, reaction progress is controlled by the rates of mineral nucleation, surface reaction processes, and transport mechanisms (Loomis, 1983; Lasaga, 1986; Rubie, 1998). As shown by calculations and experimental results (Rubie & Thompson, 1985; Ridley, 1986; Brearley & Rubie, 1990; Cygan & Lasaga, 1992), mineral nucleation commonly requires a significant overstep of the pressuretemperature conditions. This holds true not only for solidsolid reactions but also for melting and dehydration reactions, with the consequence that mineral assemblages can persist metastably.
Another effect of reaction overstep is that intra-grain compositional zonations (e.g. of garnet) can be different within rocks of identical composition that experienced the same peak metamorphic conditions. As shown by Loomis (1983), metapelitic garnet porphyroblasts that nucleated and grew in equilibrium along a prograde PT path will show a smoothly curved variation in composition across the grain. In contrast, the curvature of any compositional zonation is less pronounced if garnet nucleated and grew after reaction overstep along the same PT path. In general, intra-grain compositional variation in garnets becomes flattened with increasing reaction overstep. This results from the fact that the garnet growth rate increases with increasing overstep, and as a consequence abundant garnet, of uniform composition, can be formed quickly. However, this happens only if the material supply during garnet growth is unaffected by fractionation (bulk, surface or Rayleigh fractionation) and refractory reactant phases.
In general, two growth rate controlling processes are suggested for metamorphic garnet: (1) a diffusion-controlled growth mechanism in which the incorporation of material into the growing grain is faster than the diffusive transport towards the site of growth; (2) an interface-controlled growth mechanism where the incorporation of material into the growing grain is slower than the diffusive transport towards it (e.g. Kretz, 1973, 1993; Carlson, 1989, 1991; Denison & Carlson, 1997; Daniel & Spear, 1999; Spear & Daniel, 2001). Each growth mechanism results not only in distinct patterns of chemical zonation, but also in distinct textures. Diffusion-controlled growth causes a diffusion aureole to be formed around garnet grains, causing a non-random porphyroblast distribution. If the diffusion aureoles overlap, bulk fractionation occurs, causing garnet zonation regardless of whether or not the PT conditions change.
In contrast, interface-controlled growth results in a random porphyroblast distribution, with no correlation between grain size and nearest-neighbour distance (Kretz, 1973; Daniel & Spear, 1999). This growth mechanism not only allows the formation of garnet clusters, but also will lead to the formation of euhedral crystals (Kretz, 1993, p. 110).
Here, we present a detailed study of eight metapelitic rocks from a restricted area in the Ilesha Schist belt, Nigeria. These developed a range of mineral assemblages, compositions and modes, and contain unzoned garnet with different internal and external textures. PT pseudosections in the model systems CNKTiMnFMASH ± O are employed to explain the observed mineral assemblages, compositions and modes, and to set constraints on the PT evolution. Furthermore, discrepancies between PT pseudosection predictions and observed textures are used to constrain the extent of reaction overstep (see Waters & Lovegrove, 2002). Finally, all our findings are combined to explain garnet microtextures observed in the different samples.
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FIELD RELATIONSHIPS
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The samples were collected from the westernmost part of the
Ilesha Schist belt (
Fig. 1), which is dominated by metapelitic
biotite schists and gneisses prekinematically intruded by the
Oshu granite and numerous mafic and ultramafic sills and dykes.
Postkinematic pegmatite bodies are common [for more details
see
Rahaman (1988) and
Ige et al. (1998)]. RbSr whole-rock
dating on two pegmatites yielded ages of 562 ± 12 and
550 ± 15 Ma (
Matheis & Caen-Vachette, 1988). In the
metapelites, early recumbent isoclinal
D1 folds are transposed
during a second folding event (
D2), which led to the formation
of upright to west-vergent antiforms and synforms with northward
plunging fold axes (e.g.
Boose & Ocan, 1991;
Rahaman, 1992;
Ige et al., 1998). The dominant mineralogical banding is parallel
to the
D2 fold axis and strikes NNESSW with a dip of
7090° ESE. At present little is known about the metamorphic
evolution in the Ilesha Schist belt.
P
T data are available
only from amphibolites and meta-ultrabasites infolded with the
Ilesha metaclastics, which yielded peak
P
T conditions
of about 550620°C at 1·53 kbar (
Ige et al., 1998).
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PETROGRAPHY
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All samples have a gneissose foliation parallel or sub-parallel
to the axial planes of the
D2 folds, designated here as
S2.
In some samples earlier and/or later foliations are evident
from angular relationships between the foliation in the matrix
and that defined by alignment of elongate quartz inclusions
in staurolite and cordierite porphyroblasts (
Fig. 2). Quartz
and plagioclase in all rocks are commonly recrystallized, with
textures suggestive of static crystallization. A few samples
contain large xenomorphic plagioclase crystals and large quartz
relicts with subgrains and undulose extinction. The former are
commonly inter- or overgrown by new, statically recrystallized
plagioclase. From mineral assemblages, modes and textures we
distinguish five types of metapelites within the Ilesha Schist
belt (
Figs 2
5). Types AC contain significant amounts
of muscovite (K-rich metapelites) whereas types D and E are
muscovite free (K-poor metapelites). Accessories in types AC
are magnetite and ilmenite, and in types D and E ilmenite and
rare rutile.

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Fig. 2. Synopsis of the textural and mineralogical evolution of rock types AE (for further explanation, see text).
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Fig. 3. Photomicrographs of type A (ad) and type B samples (e, f). (a) Euhedral garnet with preferentially oriented biotite inclusions along garnet {110} planes, forming a house of cards texture (sample a1). (b) Garnet with oriented biotite and tabular quartz inclusions. The large quartz grain (qtz) is surrounded by garnet facets, and tabular quartz inclusions generally become thinner towards the garnet rim and away from large, primary quartz inclusions (sample a1). (c) Cluster of euhedral garnets, which merge to form aggregates (sample a3). (d) Partially resorbed garnet with an internal house of cards structure enclosed by staurolite (sample a1). (e) Resorbed garnet grains, biotite and muscovite enclosed by andalusite (sample b1). (f) Euhedral staurolite overgrowing S2 traced by opaque minerals and quartz. Matrix biotite defines S2a (sample b1).
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Fig. 4. Photomicrographs of type C sample c1 (ac) and type E sample e1 (df). (a) Prismatic sillimanite in association with garnet, biotite and minor muscovite. (b) Prismatic sillimanite with different orientation is overgrown by andalusite. The different orientation is evident from the varying grey scales of sillimanite. (c) Partially resorbed garnet overgrown by andalusite. (d) Cordierite with euhedral garnet inclusions overgrows the S2 foliation defined by elongate quartz grains and an early biotite generation. (e) A second biotite generation in cordierite perpendicular to S2. ( f) Angular staurolite and cordierite are separated by quartz. (Note muscovite intergrown with biotite and cordierite.)
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Fig. 5. Photomicrograph of type D sample d1. (a) Euhedral garnet porphyroblasts are enclosed by staurolite, which is itself being resorbed by cordieritetypical of garnet-bearing domains. (b) Staurolite resorbed by cordierite and chloritetypical of garnet-free domains. (c) Staurolite grain with a straight boundary in contact with intergrown biotitechlorite aggregates. This assemblage is entirely enclosed by cordierite. (d) Euhedral garnet and biotitechlorite aggregates entirely enclosed by cordierite, which replaces staurolite. (e) Biotite, zircon and euhedral garnet enclosed by cordierite. (f) Euhedral garnet grains of different size in contact with quartz and biotite, which is overgrown by chlorite. Individual garnet grains merge to form aggregates.
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Type A: GrtStBtMs schists (samples a1, a2, a3)
Type A metapelites are dominated by garnet, staurolite, biotite,
plagioclase, quartz and muscovite, with rare chlorite and accessory
magnetite and ilmenite (
Table 1). The following domain assemblages
are present:
- (A1) Grt + Bt + Ms ± Chl ± Pl + Mt + Ilm;
- (A2) Grt + St + Bt + Chl + Ms ± Pl + Mt + Ilm;
- (A3) Grt + St + Bt + Ms ± Pl + Mt + Ilm.
The
S2 foliation, traced by biotite, muscovite and rare chlorite, and
overgrown by staurolite, transects randomly intergrown biotitemuscovite
aggregates. Large chlorite flakes are common and overgrow the
S2 foliation at high angles. This fabric may be the early onset
of a later foliation (
S3). Garnet occurs in biotitemuscovite-rich
layers, where it may form grain clusters (samples a2 and a3),
and is enclosed by staurolite. Ilmenite and magnetite are either
enclosed by staurolite or in the matrix. Garnet grains are rarely
euhedral, but commonly form irregular grains with straight boundaries
in contact with quartz and biotite (
Fig. 3a). Garnet grains
in both the matrix and in the large staurolite porphyroblasts
show two typical features: (1) a house of cards
structure enclosed in garnet; (2) partial resorption at porphyroblast
rims and along inclusion arrays. The house of cards
structure, which we believe to be reported here for the first
time, is formed by oriented inclusions of biotite ± tabular
quartz (
Fig. 3a, b and d) with three- and four-fold symmetry,
suggesting that the inclusions are oriented parallel to garnet
{110} planes. Sub-equant angular quartz inclusions in garnet
are always bounded by garnet facets, and are invariably connected
to tabular quartz grains parallel to {110} planes (
Fig. 3b).
The tabular quartz grains generally become thinner toward garnet
rims and away from the angular quartz inclusions, and generally
terminate with low-angle tips (
Fig. 3b).
Because garnet enclosed by staurolite is resorbed (
Fig. 3d),
the house of cards structure pre-dates staurolite
growth. Resorption patterns of garnet in the matrix (i.e. those
crystals not enclosed by staurolite) can be linked to two different
garnet consumption events, the first during prograde staurolite
growth, followed by a second retrogressive event. During the
retrograde stage, garnet consumption commonly progressed most
rapidly in the region of the biotite and quartz inclusions,
resulting in an accentuation of the house of cards
array.
Type B: AndStGrtBtMs schists (samples b1, b2)
In contrast to type A metapelites, andalusite is additionally found in type B metapelites. Sample b2 contains garnet (7·2 vol. %) both enclosed in staurolite and in the matrix, with only minor andalusite (Table 1). Sample b1 has minor garnet (0·9 vol. %), which either occurs in the matrix or is enclosed by abundant euhedral grains of andalusite (Fig. 3e). In sample b2 both the matrix garnets and the garnets enclosed by staurolite show similar resorption patterns to those observed in type A samples. They rarely show a house of cards structure. Andalusite in all samples contains inclusions of biotite, muscovite, quartz, garnet, magnetite and ilmenite, but never staurolite. Garnet in andalusite always displays resorption textures (Fig. 3e), indicating that garnet grew before andalusite. Andalusite in both samples occurs with euhedral staurolite, but intergrowth of the two minerals is not observed. Staurolite of both samples overgrows an older foliation traced by quartz ± ilmenite ± magnetite (Fig. 3f ). In sample b1 the internal foliation is at a high angle to that in the matrix (Fig. 3f ), but in sample b2 it is nearly parallel. It is not clear which foliation is related to D2. Here, we designate the internal foliation as S2 and the external as S2a (Fig. 2). Andalusite in sample b2 commonly overgrows patches of statically recrystallized quartz and plagioclase, indicating that deformation D2a must have ceased before andalusite growth. Elongate chlorite grains, some perpendicular to S2, occur in the matrix. In a few places chlorite is parallel to S2a. In sample b1 chlorite replaces garnet and staurolite. In type B samples the following domain assemblages are present:
- (B1) Grt + Bt + Ms ± Chl ± Pl + Mt + Ilm (b1, b2);
- (B2) Grt + St + Bt + Chl + Ms ± Pl + Mt + Ilm (b2);
- (B3) Grt + St + Bt + Ms ± Pl + Mt +Ilm (b2);
- (B4) St + Bt + Ms ± Mt + Ilm (b1);
- (B5) And + (Grt) + Bt + Ms + Mt + Ilm (b1, b2);
- (B6) And + Bt + Ms + Chl + Mt + Ilm (b1, b2).
Type C: SilAndGrtBtMs(Chl) schist (sample c1)
Type C contains prismatic sillimanite (Table 1) and no staurolite. The S2 foliation is traced by quartz and mica. Garnet is heterogeneously distributed throughout the rock, always occurring in mica-bearing domains. Garnet grains in sillimanite-rich domains are commonly euhedral, whereas those in andalusite-rich domains are partially resorbed (Fig. 4a and c). Some garnet grains in both the matrix and within andalusite are preferentially consumed along parallel-sided angular cracks (Fig. 4c). The house of cards structure is absent. Sillimanite grains overgrow S2 but are themselves overgrown by andalusite (Fig. 4b) together with biotite, muscovite, garnet, magnetite and ilmenite, and clusters of well-recrystallized quartz grains. A few prismatic grains are homotactically intergrown with andalusite parallel to the sillimanite [010] direction. The random orientation of sillimanite in andalusite suggests that sillimanite was stable before andalusite growth (see Kerrick & Woodsworth, 1989). Late chlorite grows perpendicular to S2. Domain assemblages observed in sample c1 are
- (C1) Sil + Grt + Bt + Ms + Ilm + Mt;
- (C2) And + Sil + Grt + Bt + Ms + Ilm + Mt;
- (C3) And + (Sil) + (Grt) + Bt + Ms + Chl + Ilm + Mt.
Type D: CrdStGrtBt schist (sample d1)
Type D is muscovite and magnetite free, but contains abundant cordierite (Table 1). Sample d1 shows a weak foliation traced by the alignment of elongate quartz and biotite. Garnet invariably forms clusters of euhedral grains (Fig. 5df ), similar to those in sample a2 ( Figs 3c and 5f). Garnet is enclosed by staurolite and/or cordierite and is in contact with biotite, chlorite and quartz (Fig. 5a and df ). Garnet inclusions in staurolite are always euhedral (Fig. 5a) and smaller than in the matrix (Fig. 6eh), indicating that matrix garnet growth continued after staurolite growth ceased.

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Fig. 6. Element distribution maps of garnet. (ad) Type A, sample a1: garnet, with a house of cards structure shows no zonation of Mn (c) or Fe (d). Ca (b) increases slightly at some garnet rims, whereas Mg (a) decreases. (eh) type D, sample d1: small euhedral garnets enclosed by staurolite and larger euhedral matrix garnets are unzoned and show uniform Mg (e), Ca (f ), Mn (g) and Fe (h) contents.
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Two types of staurolite grains are observed: type StI occurs
in garnet-rich domains and contains garnet (
Fig. 5a); type StII
occurs in garnet-free domains and has no garnet inclusions (
Fig. 5b).
Staurolite is always surrounded by replacive cordierite
(
Fig. 5a and b) and shows planar crystal faces only where it
is in direct contact with biotite and chlorite (
Fig. 5c). Euhedral
biotite flakes occur in contact with garnet (
Fig. 5f ), often
intergrown with chlorite (
Fig. 5c, d and f ). Ilmenite is either
in the matrix or enclosed by garnet and staurolite. The following
domain assemblages are present (all + quartz + plagioclase):
- (D1) Grt + St + Bt + (Chl) + Ilm;
- (D2) Grt + St + Bt + Crd + Chl + Ilm;
- (D3) St + Bt + Chl + Crd + Ilm;
- (D4) Grt + Bt + Crd + Ilm;
- (D5) Grt + Bt + Chl + Crd + Ilm.
Type E: CrdGrtBt(St) schist (sample e1)
Type E has the same assemblage as D, but with more abundant cordierite and very little staurolite (Table 1). A pronounced foliation (S2) is traced by quartz and early biotite and overgrown by large cordierite porphyroblasts (Fig. 4d and e) containing a second biotite generation perpendicular to S2 forming a weak S3 fabric (Fig. 4e). Euhedral garnet grains are enclosed by cordierite (Fig. 4d and e). A few garnet grains have a core rich in randomly oriented ilmenite and rare rutile, and a nearly inclusion-free rim. Garnet may be in contact with euhedral staurolite, quartz, fibrolitic sillimanite and cordierite. Staurolite is surrounded by quartz, plagioclase and cordierite (Fig. 4d). Textural evidence for the stability of the staurolite + garnet + cordierite assemblage is ambiguous. Chlorite enclosed by cordierite is locally parallel to the second biotite generation. No reaction was observed between chlorite and garnet. A very few muscovite flakes (0·1 vol. %) are present, mostly intergrown with chlorite and sometimes with biotite in cordierite, and rarely in contact with staurolite (Fig. 4f ). The following predominant domain assemblages are present:
- (E1) Grt + Crd + Bt + Chl + Pl + Ilm ± Rt;
- (E2) Grt + Crd + Bt + Pl + Ilm.
Rarely
observed domain assemblages are
- (E3) St + Bt + Pl + Ilm ± Ms ± Crd ± Chl;
- (E4) Grt + St + Sil + Bt + Pl + Ilm ± Crd;
- (E5) Crd + Bt + Chl + Ms + Pl + Ilm.
Crystallizationdeformation history
The earliest crystallizationdeformation history of metamorphic rocks is generally recorded by mineral inclusions in other phases (e.g. Figs 25). In contrast to many other examples of regional metamorphism (e.g. Bell & Hickey, 1999; Spear & Daniel, 2001) the inclusion patterns in garnet in all samples described here never provide evidence for overgrowth of an earlier fabric. Microtextures (Fig. 2) indicate that the dominant foliation S2 is statically overgrown by staurolite and andalusite in rock types A and B, and by staurolite and cordierite in rock type E. Evidence for the rotation of staurolite is found only in sample b1, which displays angular relationships between the foliation enclosed in staurolite and that in the surrounding matrix (S2a). Sillimanite in sample c1 overgrows S2 with random orientations. Late chlorite and a second biotite generation (sample e1) locally form a weak S3 fabric perpendicular to S2, suggesting that the stress field changed after S2 formation. In summary, the available evidence suggests that the penetrative deformation associated with the D2 folds ceased before the metamorphic peak, with essentially static retrogression.
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MINERAL CHEMISTRY
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Mineral compositions were measured in all the observed domain
types (
Tables 2
5). Biotite, chlorite, cordierite, staurolite,
muscovite, ilmenite and magnetite show only minor compositional
variation within individual thin sections, although significant
differences occur between samples (
Table 5).
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Table 5: Compositional range of garnet, staurolite, cordierite, biotite, chlorite, muscovite, plagioclase and ilmenite of samples from the Ilesha Schist belt
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Table 6: Results of PT calculations of samples from the Ilesha Schist belt using THERMOCALC v.275 (Holland & Powell, 1998) and mineral compositions shown in Tables 24
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Generally garnet is unzoned, with grains of different size (even
resorbed fragments) showing no significant compositional variation
(
Figs 6 and
7). Calcium contents are low with Ca/(Fe + Mg +
Mn + Ca)
Grt of 0·030·06, and Mg is fairly
constant with Mg/(Fe + Mg + Mn + Ca)
Grt between 0·10
and 0·14. In contrast, Mn and Fe are highly variable
[Mn/(Fe + Mg + Mn + Ca)
Grt = 0·090·20,
and Fe/(Fe + Mg + Mn + Ca)
Grt = 0·640·80].
A very slight zonation of iron and magnesium was observed in
garnet enclosed by cordierite in type D (sample d1;
Fig. 7),
and a slight increase of Ca occurs at the rim of garnets in
sample a1 (
Figs 6 and
7).

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Fig. 7. Garnet composition and profiles in different domains of samples of rock types AE. St, Crd, And denote profiles across garnet grains included by staurolite, cordierite or andalusite, respectively, Mx, matrix garnet; r, rim; c, core; FMMC = Fe + Mg + Mn + Ca (for further explanation, see text).
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In sample a1 a steep increase of Fe/(Fe + Mg) was detected in
the outermost 12 µm of some matrix garnet grains,
probably caused by limited diffusive FeMg exchange with
surrounding biotite and/or chlorite. This increase was not detected
in garnet grains enclosed by staurolite and/or cordierite (
Figs 6 and
7). As shown in
Fig. 7, the garnet composition in samples
belonging to the same rock type can be different (e.g. a1, a2,
a3). On the other hand, garnets in different rock types may
have similar compositions (e.g. a2 and b1).
The Fe/(Fe + Mg) ratio varies between 0·79 and 0·83 in staurolite, between 0·42 and 0·52 in biotite, between 0·41 and 0·50 in chlorite, and between 0·27 and 0·29 in cordierite (Table 5). The Fe/(Fe + Mg) of biotite and chlorite is generally higher in muscovite-bearing samples, and lower in muscovite-poor or -free cordierite-bearing samples.
Biotite generally has a Tivi content between 0·08 and 0·09 p.f.u., although biotite in sample b2 contains up to 0·130·14 p.f.u. Muscovite in all samples has silica contents between 2·99 and 3·03 p.f.u., and contains significant amounts of Na in the interlayer position with Na/(Na + K)Ms ranging between 0·15 and 0·23. Plagioclase is virtually unzoned in all samples and ranges from An0·25 to An0·39 (Table 5). Types D and E contain nearly pure, end-member ilmenite (Table 5), whereas in all other samples ilmenite contains up to 11 mol % hematite. In all samples, the pyrophanite component is insignificant (Table 5).
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GEOTHERMOBAROMETRY
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P
T conditions for the various samples were estimated
using the compositions of minerals assumed to be in chemical
equilibrium. Determination of the equilibrium assemblage at
different stages during the
P
T evolution is not straightforward
because some samples obviously contain minerals dating from
several different stages. This is clearly apparent in the case
of samples b1, b2 and c1, where andalusite and foliation-perpendicular
chlorite formed late in the metamorphic evolution, whereas the
coexisting sillimanite, garnet and plagioclase represent an
earlier stage. Furthermore, the present-day mineral compositions
may not reflect their compositions during growth.
To solve the latter problem we assumed that in samples with minor (late) andalusite, the compositions of biotite, muscovite and chlorite did not change significantly during andalusite growth (e.g. sample b2). In contrast, in samples with abundant late andalusite, the compositions of biotite, muscovite and chlorite probably changed significantly during retrogression (e.g. sample b1 and c1). Consequently, estimated peak PT conditions of these samples should be treated with caution.
Retrograde resetting of FeMg in biotite is probably not problematic given the abundance of biotite (Table 1, Fig. 12). Garnet shows almost no retrograde diffusive FeMg exchange patterns, and the persistence of euhedral grains shows that resorption during retrogression was minor.

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Fig. 12. Predicted evolution of mineral modes in sample a1 (a), sample b2 (b) and sample d1 (c), assuming thermodynamic equilibrium during temperature rise at 5 kbar. Mole proportions* = mole proportions with quartz and H2O in excess.
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P
T calculations were carried out using the average
pressuretemperature calculations feature of the
software package THERMOCALC (
Holland & Powell, 1998). Activities
of the mineral end-members were calculated with the program
Ax of T. J. B. Holland (personal communication, 2001, available
at
http://www.esc.cam.ac.uk/astaff/holland/index.html). Details
of the mixing models used to calculate the activities of end-members
are given in the caption to
Table 6. The mineral analyses and
mineral end-members used for
P
T calculations are shown
in
Tables 2
4. We used mineral end-members in the system
CNKFMASH, with Mn, Ti and Fe
3+ excluded because of large errors
in the calculated activities and/or lack of knowledge about
the amount of Fe
3+ in the aluminosilicates (
Table 6). Results
are presented in
Table 6 and in
Fig. 10a.
The
P
T estimates involve errors in the thermodynamic
data of the mineral end-members and errors of end-member activities
[for details see
Powell & Holland (1994)]. Geological
errors resulting from retrogression are not considered.
The mean
P
T values, quoted below for simplicity, are
not the best
P
T estimates, but all
P
T values within
an error ellipse (
Fig. 10) have the same significance.
PT calculations using mineral compositions of types A and B (a2, a3, b1, b2) yielded identical (within error) average PT conditions of 585 ± 25°C at 6 kbar (Fig. 10a). Similar PT conditions were estimated for sample e1. In contrast, samples a1 and d1 yielded temperatures of 616 ± 17°C at identical or slightly lower pressures (sample d1: 5·1 ± 0·4 kbar). Sample c1 gave lower PT conditions of 577 ± 31°C at 3·8 ± 1·1 kbar. These differences (Fig. 10a) might indicate that rocks in the Ilesha Schist belt represent different stages during the PT evolution.
 |
PT PSEUDOSECTIONS
|
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To obtain additional information about the metamorphic evolution,
P
T pseudosections in the model system CNKTiMnFMASH were
constructed for the magnetite-free samples of types D and E
(
Fig. 8). Pseudosections for the magnetiteilmenite-bearing
samples of types AC were calculated in the model system
CNKTiMnFMASHO (
Fig. 9). Calculations were carried out using
the software package THERMOCALC v.TC3mac (
Powell & Holland, 1988;
Holland & Powell, 1990,
1998) with the internally
consistent thermodynamic dataset HP98 and activity models described
in Appendix B. Bulk compositions were reconstituted from mineral
modes and compositions (
Tables 1
4). In all pseudosections
the error ellipses of the
P
T estimations are shown for
comparison.

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Fig. 8. PT pseudosections for samples of types A (a), B (b) and C (c) constructed in the model system CNKMnTiFMASHO. The isopleths show the calculated Mn/(Fe + Mg + Mn + Ca)Grt composition of garnet in each phase field. The ellipses represent the PT conditions calculated with THERMOCALC using the observed mineral assemblages. The labelled black dots denote the mineral assemblages observed in each of the samples (see Fig. 2 for details). The bold black line marks the section of the PT path that can be inferred for each sample. The bold grey line in (a) and (b), labelled 90, denotes garnet-in for the assumption that in the respective sample the garnet mode was overestimated by 90% (for further explanation, see text).
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Fig. 9. PT pseudosections for sample d1 (a) and for sample e1 (b) constructed in the model system CNKMnTiFMASH. The isopleths in (b) show the calculated Mn/(Fe + Mg + Mn + Ca)Grt composition of garnet in each phase field. The labelled black and white circles are the observed mineral assemblages (see Fig. 2 for details). Only the assemblages labelled with black dots agree with mineral modes and compositions (see text). The ellipses represent the PT conditions calculated with THERMOCALC using the observed mineral assemblages.
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Mineral assemblages, compositions and modes
Types A and B
Because types A and B show identical mineral assemblages, with
the exception of (minor) andalusite, their phase diagrams will
be discussed together. The two CNKMnTiFMASHO pseudosections
in
Fig. 8a and b account for the staurolitegarnetbiotitemuscovitechloritemagnetiteilmenite
assemblage observed in samples a1 and b2. The calculated Mn/(Fe
+ Mg + Mn + Ca)
Grt isopleths agree with the measured Mn/(Fe
+ Mg + Mn + Ca)
Grt in the phase fields (A1, B1) chlmsbtgrtplmtilm,
(A2, B2) chlmsbtgrtstplmtilm
and (A3, B3) msbtgrtstplmtilm
between 575 and 590°C at

5 kbar (
Fig. 8a and b).
For sample b2 the calculated phase fields of the three assemblages (B1), (B2) and (B3) are the same within error as the PT calculations (Fig. 8b). For sample a1 the estimated temperatures are slightly higher and not consistent with the calculated mineral assemblages. The absence of sillimanite in types A and B sets an upper temperature limit of between 590 and 600°C at 5 kbar (depending on bulk composition). The presence of andalusite and absence of cordierite in sample b2 suggests formation of assemblage (B5) at PT conditions of
550°C at 3 kbar (Fig. 8b). As shown in Table 7, the compositions of plagioclase, biotite, muscovite and staurolite, and the mineral mode obtained from thin sections of sample a1 agree with those in the PT pseudosections at 580°C and 5 kbar (Table 7). Significant differences are observed only for garnetthe calculated Fe/(Fe + Mg + Mn + Ca)Grt is lower and the Ca/(Fe + Mg + Mn + Ca)Grt higher than the measured compositions. The same agreements and discrepancies are obtained for sample b2 (not shown).
Type C
The pseudosection accounts for the observed peak metamorphic
assemblage (C1) silgrtbtmsplilmmt.
Parity between measured and calculated Mn/ (Fe + Mg + Mn + Ca
+ Ca)
Grt in the phase field (C1) requires a minimum temperature
of 580°C at 4·5 kbar. These conditions are similar
to those obtained from types A and B (
Figs 8c and
10). The upper
and lower pressure limits are constrained by plagioclase-out
and cordierite-in, respectively. As shown in
Table 7, at 590°C
and 5 kbar there is good agreement between the observed and
calculated composition of garnet, biotite and muscovite, and
of the mineral mode. The only exception is the plagioclase composition,
for which the calculated anorthite content is lower (0·17)
than the estimated content (0·32). Reasons for that could
be a slight underestimation of the bulk CaO.
As in sample b1, the observed assemblages (C2) andbtms(grt)plmtilm and (C3) andbtmschlplmtilm are formed during the retrograde evolution at
550°C at 3 kbar. The Mn/(Fe + Mg + Mn + Ca)Grt isopleths in Fig. 8c predict that the manganese content of resorbed garnet in andalusite should be higher than that of unresorbed garnet. This is indeed the case (Fig. 7), but not to the extent predicted. The discrepancy results from the fact that garnet resorption in sample c1 was not as complete as required by the phase diagram calculations, which predict total equilibrium [see discussion by Zeh (2001)]. Combining the PT data, sample c1 provides evidence for retrogression from
590°C at 4·5 kbar to <550°C at <3 kbar.
Types D and E
For samples d1 and c1, pseudosections were calculated in the model system CNKTiMnFMASH (Fig. 9). The pseudosection for type D predicts the observed domain assemblages (D1) grtstbtchlplilm, (D2) grtstbtchlcrdplilm, (D4) grtcrdbtplilm and (D5) grtcrdbtchlplilm, but not (D3) stcrdbtchlplilm (Fig. 9a). Assemblages (D2)(D5) could be explained by a continuous pressure and temperature drop from 610°C at 5 kbar to 570°C at 3·5 kbar, in agreement with the retrograde PT paths obtained for types B and C (Fig. 8b and c). However, if the observed and calculated mineral compositions and the mode are taken into account this particular interpretation is probably incorrect.
Importantly in all assemblage domains, (D1)(D5), the mineral compositions are identical with no zonation. Furthermore, garnet is invariably euhedral. Finally, the measured mineral mode and compositions of all minerals agree well with those calculated at PT conditions of 610°C and 5 kbar (Table 7, Fig. 11eh, D2), and are identical to the PT estimates made above. These factors point to a complete chemical and textural equilibrium in sample d1 established at constant PT conditions, rather than by continuous formation of the different domain assemblages during a PT evolution.

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Fig. 11. (ad) Effects on PT pseudosection topology for sample d1 as a result of variations of system components. (a) KFMASH; (b) KMnFMASH; (c) KMnTiFMASH; (d) CNKMnTiFMASH. The ellipse shows the PT conditions during which the domain assemblages observed in sample d1 were inferred to have formed. The bold dark grey line marks the position of garnet-in. (eh) Isopleths of (e) spessartine, (f) grossular, (g) almandine and anorthite, and (h) Fe-staurolite and Fe-cordierite, which result from calculations in the model system CNKMnTiFMASH related to diagram (d).
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The resorption of staurolite by cordierite in sample a1 (
Fig. 5a and b) apparently contradicts this, but this discrepancy
can be explained by considering the evolution of the mode. As
shown in
Fig. 12c, significant staurolite will be resorbed during
a very small
T rise from 608 to 610°C at 5 kbar, as the
assemblage changes from stgrtchlbtplilm
to stgrt chlcrdbtplilm,
and finally to stgrtcrdbt plilm.
Staurolite resorption is accompanied by growth of cordierite
and garnet and loss of chlorite, in agreement with thin-section
observations (
Figs 5 and
6eh). The chlorite (

3 vol. %)
in sample a1 can be interpreted as prograde relics armoured
by cordierite. Notably, despite the marked assemblage change
between 608 and 610°C the compositions of garnet, staurolite,
biotite, chlorite, cordierite and plagioclase remain nearly
unchanged (
Fig. 11eh).
The upper temperature limit for the formation of the equilibrium assemblage in sample d1 is at
615°C, because of the absence of sillimanite (Fig. 9a).
For sample e1 (type E) the dominant assemblages (E1) crdgrtbtplilm and (E2) crdgrtbtchlplilm are consistent with the CNKMnTiFMASH phase diagram (Fig. 9b). The rarely observed muscovite, chlorite and rutile [assemblages (E1) and (E5)] may be relics from the prograde evolution. In contrast, the rare assemblage (E4) stcrdchlbtplilm(sill) cannot be accounted for, perhaps as a result of thin-section-scale bulk-rock heterogeneities, kinetic effects, or pseudosection errors (see below). The assemblages (E1), (E2) and (E5) are consistent with a prograde temperature rise from 575 to 600°C at 4·5 kbar (Fig. 9d), similar to the path obtained for types AC. At 600°C and 4·5 kbar there is an excellent agreement between the calculated and observed compositions and modes of garnet, chlorite, cordierite, biotite and plagioclase (Table 7). Thus, we are confident that these minerals were in equilibrium at the estimated metamorphic peak.
PT path
The fragments of the PT path inferred from the PT pseudosections provide evidence that different samples from the Ilesha Schist belt preserve different sections of the pro- and retrograde PT evolution (Fig. 10b). The evidence points to a heating event from about 575 to 610°C at 5 ± 0·5 kbar, followed by retrogression to 550°C at 3 kbar (Fig. 10). Taking into account that the PT calculations of all samples incorporate a geological error, and that the PT pseudosections also involve errors (see below) we argue that the peak assemblages of all samples were formed at nearly identical metamorphic conditions of
590 ± 20°C at 5 ± 0·5 kbar.
The lack of geochronological data for the metamorphic peak in the Ilesha Schist belt means that it is not possible to distinguish between a single metamorphic event and polymetamorphism. Although the agreement between the peak PT conditions of all samples suggests they were formed during a regional metamorphic event, rather than by contact metamorphism, it is possible that late andalusite growth in type B and C samples was triggered by intrusion of the pegmatites (Fig. 1). The PT path derived above suggests that the PT conditions of 550625°C at 13 kbar inferred by Ige et al. (1998) from the metabasic and meta-ultrabasic rocks reflect the retrograde PT evolution rather than the metamorphic peak in the Ilesha Schist belt.
 |
REACTION OVERSTEP
|
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Generalities
A general feature of all CNKTiMnFMASH(O)
P
T pseudosections
is that garnet-in reactions are predicted to occur at temperatures
as much as 80°C lower than those either obtained by the
P
T estimates (
Table 7,
Figs 8 and
9) or required by the
measured and calculated garnet compositions and modes (
Table 6,
Figs 8 and
9). Furthermore, all phase diagrams imply that
garnet-in should occur in chlorite-bearing assemblages (±
muscovite, ± biotite, ± staurolite, ± sillimanite).
However, in chlorite-bearing phase fields the garnet composition
isopleths are steep (
Figs 8 and
9), meaning that garnet produced
during a temperature rise should show a pronounced compositional
zonation similar to that observed in many natural garnets (e.g.
Hollister, 1966) or constrained by numerical simulations (e.g.
Loomis, 1982). The absence of garnet zonation may possibly be
explained by either growth at constant
P
T
X or
annealing of any zoning by diffusion. The latter can be excluded
for various reasons. First, it would result in a pronounced
and curved increase of Fe/(Fe + Mg) toward the rim of garnet
in contact with biotite and chlorite. At the very least, garnet
of all samples would show pronounced zonation of Ca, which has
a relatively low diffusion coefficent (
Chakraborty & Ganguly, 1992).
Furthermore, if growth zonation had formerly been present,
enclosed garnet grains of varying size should have different
compositions. The absence of these features suggests that the
lack of chemical zonation in the Ilesha garnets is primary.
We conclude that garnet grew under constant
P
T
X conditions. The corollary of this is that the discrepancies
between the predicted garnet-in temperature derived from the
pseudosections and that from the
P
T estimates reflect
a significant reaction overstep.
Pseudosection errors
Before accepting this hypothesis we consider the errors involved in calculating the pseudosections. THERMOCALC does a full error propagation using the errors associated with the activities of end-members and with the thermodynamic data. Typically, the uncertainties on lines separating areas of stability of different mineral assemblages are ±10°C. However, the position of the separating lines is dependent on the thermodynamic dataset, the compositional system, the activity models used for solid-solutions (Appendix B), and the bulk composition.
The thermodynamic calculations presented in this paper all used the internally consistent thermodynamic dataset HP98. Use of the outdated dataset HP90 (with its much simpler activity models) results in the same assemblages at any temperatures but at
0·51·0 kbar higher pressures. Generally, the choice of dataset has little effect on phase diagram topology in the PT range of 550650°C and 48 kbar, but at lower pressures there are important differences. For example, the coexistence of andalusite and biotite can be explained using only HP98 and our chosen activity models. The usefulness of our chosen activity models is reflected in the good agreement between the calculated and measured mineral assemblages, compositions and modes (Table 7).
To illustrate the effects on topology resulting from the use of different compositional systems, a series of PT pseudosections in the model systems KFMASH, MnKFMASH, MnTiKFMASH and CNKMnTiFMASH were constructed for sample d1 (Fig. 11ad). In all four phase diagrams the assemblages (D1) grtstbichl (+ ilm + pl) and (D2) grtstbichlcrd (+ ilm + pl) fall within the error ellipses obtained by the PT estimates. In the system KFMASH, assemblages (D1) and (D2) are separated by the univariant reaction chl + st = cd + grt. In the systems MnKFMASH and MnTiKFMASH the change from (D1) to (D2) is effected by a change from a trivariant to a divariant field, and in the system CNKMnTiFMASH from a quadri- into a trivariant phase field. In general, as the system becomes more complicated, more realistic information can be obtained. For example, both the amount and composition of plagioclase and the garnet composition can be predicted only using CNKMnTiFMASH (Table 7).
Importantly, the predicted temperature of garnet formation in the KFMASH phase diagram falls by
50°C if Mn is included (Fig. 11a and b), as a result of the strong fractionation of Mn into garnet (Symmes & Ferry, 1992; Mahar et al., 1997). The predictions of the MnKFMASH system are substantially unchanged if Ti, Ca and Na are included (Fig. 11c and d). The phase diagrams in Fig. 11ad also show that even if the garnet stability field is extended to lower temperatures, the stability fields of staurolite, biotite, cordierite and chlorite remain essentially unchanged, with important implications for the assessment of reaction overstep, as outlined below.
Variations of bulk composition also influence phase diagram topology (Zeh, 2001). In this study, bulk-rock variations can result from point counting and electron microprobe errors. As errors in electron microprobe analyses are small, important variations in bulk composition are likely to result only from point counting. We estimated the mode by point counting
2000 points per thin section, resulting in mode errors no larger than 510% for the abundant minerals (>10 vol. %), 2030% for minor minerals (<10 vol. %), and
50% for very minor minerals (<3 vol. %). All samples are relatively fine grained, and thus overestimation of a porphyroblastic phase can be excluded. Bulk variations as a result of mineral zonations can also be excluded, as minerals of all samples are unzoned and the compositions of the minerals throughout the thin section are nearly constant (Table 5). A potential source of error could be the heterogeneous distribution of phases in close proximity to the piece taken for thin-section preparation. If minerals with a low Fe/(Fe + Mg) ratio (e.g. cordierite or chlorite) are overestimated relative to minerals such as staurolite and garnet with higher Fe/(Fe + Mg), the boundaries between di-, tri- and higher-variant phase fields will shift to higher temperatures. This is demonstrated for sample a1 in Fig. 13, where we assume that the amount of garnet is overestimated by either 50% or 90%. A reduction in garnet mode reduces the bulk Fe/(Fe + Mg) and reduces the phase field grtstbims. An overestimation of Fe3+ will have the same effect (see White et al., 2000). Overestimation of Ti shifts rutile-bearing fields to higher temperatures and lower pressures (Fig. 9a and b), and the first appearance of biotite occurs at lower temperatures. Overestimation of plagioclase increases the Na and Ca bulk composition and would only shift the plagioclase-out reaction to lower pressures (Figs 8b, c and 9a, b), but permit garnet-in at slightly lower pressures and temperatures. In summary, variations of Fe2+, Fe3+, Mg, Ca, Na, Ti, Al and K resulting from 10% variation in the dominant minerals change steep phase field boundaries by ±1020°C and shallow boundaries by ±0·5 kbar.

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Fig. 13. KMnFMASH pseudosection for sample a1 showing the location of the garnet-in reaction (Grt-in = 100) and the change of the size and position of the phase field grtstbims, caused by variations of the bulk composition owing to incorrect estimation of garnet mode. An overestimation by 50% results in Grt-in = 50, and by 90% results in Grt-in = 90. Whereas the topology of the phase field grtstbims changes only slightly, garnet-in shifts to higher temperatures for underestimations of garnet mode.
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However, the field of garnet stability is highly sensitive to
variations in Mn, with minor overestimations resulting in a
significant decrease in garnet-in temperatures. As nearly all
Mn in our samples is concentrated in garnet, overestimates of
reaction overstep are linked to overestimation of the garnet
mode. For example, the amount of reaction overstep in sample
a1 will be

180°C if we assume that the garnet mode is estimated
correctly, to 100°C if garnet is overestimated by 50%, and
to 20°C if garnet is overestimated by 90% (
Fig. 13). The
amount of overstep is only slightly higher if Ca, Na, Ti and
Fe
3+ are included (
Fig. 8a and b). We consider garnet overestimation
of >50% unrealistic and argue that garnet in all samples
was formed after reaction overstepping by more than 50°C.
We should emphasize that reaction overstep in types A, B, C and E is constrained only by the difference between the pseudosections and the PT estimates. In type D, however, reaction overstep is additionally constrained by staurolite, which was formed together with garnet at 610°C, which is
80°C higher than the temperatures predicted for staurolite-in (Fig. 9a). As staurolite-in in sample d1 is nearly independent of both bulk-rock compositional variations and the compositional system (Fig. 11ad), a reaction overstep of
80°C is plausible.
 |
GARNET TEXTURES
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House of cards garnet
The observed garnetstaurolite intergrowth relationships
in sample a1 (
Fig. 3d) provide evidence that garnet with the
house of cards array was formed before staurolite
in the assemblage (A1) chlbtmsgrtplmtilm,
under nearly constant
P
T
X conditions, with a reaction
overstep of >50°C. To explain the house of cards
texture we have to answer the following questions: Which reaction
led to garnet formation? Why are biotite and quartz included
in garnet? What caused the preferential orientation of biotite
and quartz parallel to garnet {110} planes?
From the reactants and products predicted by the phase diagrams and observed in thin sections (Figs 3, 8a and 12a), it is most likely that garnet formation is predominantly controlled by a disequilibrium reaction between Chl and Ms in the quadri-variant CNKTiMnFMASHO assemblage (A1) (Figs 8a and 12a). Calculations using sample a1 indicate that the modes of ilmenite, magnetite and plagioclase are nearly constant in the phase field chlbtmsgrtplilmmt and will not seriously influence balancing of reaction (R1). Excluding these phases, we have to consider a reaction in the trivariant MnKFMASH assemblage chlbtmsgrtqtzH2O (Appendix C):
 | (R1) |
which explains the contemporaneous formation of
biotite and garnet, and release of H
2O. Furthermore,
(R1) is
consistent with the fact that staurolite can subsequently be
formed by reaction
(R2) in assemblage with chlorite and muscovite.
The volume balance of reaction
(R1) is (all numbers in vol.
%)
As sample a1
contains 3·8 vol. % garnet (
Table 1), this predicts that

3·6 vol. % H
2O would be formed. This H
2O volume is a
maximum estimate as Fe
3+ in chlorite will decrease the H
2O volume
slightly. The reaction results in the release of all water in
chlorite, whereas the amount of water in muscovite will be consumed
by biotite. If reaction
(R1) occurred at constant
P
T
X conditions the H
2O will be released instantaneously, resulting
in a large pore volume containing essentially non-overpressured
H
2O. Such a situation is mechanically unstable and gravitational
forces will drive the rock to compact, expelling the fluid upwards
along fractures. The time scale for such compaction will be
of the order of tens of years for a 10 m thick horizon of reacting
pelite (
Graham et al., 1997). If we assume rapid chlorite breakdown
with a large reaction overstep it seems likely that this time
scale for compaction and expulsion of H
2O will be long compared
with that for garnet growth, with two important consequences.
First, H2O will transport ions quickly from the reactants to garnet nuclei. This will smooth out compositional gradients at garnet interfaces and, if necessary, the H2O in the (transient) porosity will store ions until they are needed. These are ideal conditions for interface-controlled garnet growth.
Second, there will be, at least transiently, hydrostatic pressure conditions. Biotite flakes beside garnet will be rotated parallel to temporary garnet surfaces during garnet growth, as suggested by Ferguson et al. (1980). The question is: Why are these biotite flakes incorporated in garnet? According to the volume balance, there would be enough space (pore volume) around garnet to push biotite flakes ahead of the growing garnet surface to create mica domes around garnet (see Ferguson et al., 1980). A possible explanation is that biotite was directly precipitated at growing garnet surfaces with the lowest free energy.
If we assume that garnet growth occurs in an originally homogeneous fluid, K will be concentrated at the garnetfluid interface by surface fractionation (Loomis, 1983) (Fig. 14a and b). When the K concentration becomes high enough, nuclei of biotite will form near the garnet surface and grow in equilibrium with garnet. As a result of simultaneous garnet growth, such biotite flakes will be overgrown after they are rotated parallel to garnet surfaces.

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Fig. 14. (a and b) Synopsis showing the suggested mechanism of garnet growth with a house of cards structure. (a) A pre-existing quartz grain is incompletely overgrown by garnet, which displaces quartz as it continues to grow. Biotite is nucleated at the garnet surface in a region of high K concentration. (b) After further garnet growth, quartz and biotite inclusions are preferentially oriented parallel to garnet surfaces. (ce) Textural evolution in sample d1 (rock type D). Muscovite domains in (c) are transformed into staurolite-bearing, garnet-free domains (D3') in (d), whereas formerly muscovite-free areas of the rock are transformed in staurolite-free domains containing garnet (D4'). Between these, garnet- and staurolite-bearing domains occur (D1). (e) Further textural development results in staurolite being replaced by cordierite, which now grows with garnet.
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The formation of tabular quartz crystals in garnet is assumed
to occur during incomplete overgrowth of older quartz grains
by garnet (
Figs 3b and
14a). Once overgrowth has begun, the
garnetquartz boundary continues to migrate to minimize
the surface free energy, forming the facets bounding the quartz
inclusions (
Fig. 3b). For this to occur, Fe, Mg, Mn, Ca and
Al must be transported to, and Si away from, the migrating interface
along the grain boundary between the partially enclosed quartz
and the encroaching garnet. A compositional gradient will be
established between the interior and exterior of the garnet.
The diffusion distance becomes larger with continued garnet
growth, resulting in a reduction in the efficiency of mass transfer
(
Fig. 14a). The silica displaced by migrating garnet will be
precipitated along the nearby transport paths. The crystallographic
control of the orientation of the quartz inclusions (
Fig. 3b)
probably results from the fact that the diffusion pathways themselves
are affected by grain boundary migration to obtain low-energy
garnet surfaces. Because more material (Fe, Mg, Mn, Ca and Al)
is supplied to garnetquartz interfaces near the external
garnet surface as a result of diffusion transport, coupled quartz
displacement and garnet migration will be faster here. This
is a plausible explanation for the observation that tabular
quartz inclusions are generally thinner at the garnet rims (
Figs 3a, b and
14b), and why completely overgrown tabular quartz
inclusions terminate with low-angle tips.
Resorbed garnet in staurolite
Following hydrostatic garnet growth in sample a1, staurolite joins the assemblage (A2) grtchlbt msplilmmt (Fig. 7a), via the garnet-consuming reaction
 | (R2) |
with
quartz, plagioclase, ilmenite and magnetite being in excess,
resulting in the garnet resorption observed in types A and B
(
Fig. 2). Because garnet consumption continues until chlorite
is exhausted, the amount of garnet consumption depends on the
original amount of chlorite (
Fig. 12a and b).
Garnet resorption in andalusite
The observed garnet resorption in andalusite (Fig. 4c) is in good agreement with a transition from 5 kbar and 590°C to 3 kbar and 550°C. However, it could also be explained by a temperature rise in the phase field grtchlbtmsandmtilm (Fig. 8c). In the absence of additional petrological information the interpretation of garnet resorption in andalusite is ambiguous. However, the presence of randomly oriented sillimanite inclusions in andalusite (Fig. 4b) of sample c1 clearly shows that garnet grew prior to retrogression.
Euhedral unzoned garnet and garnet clusters in type D
We have shown that minerals of sample d1 achieved complete equilibrium at PT conditions of
610°C at 5 kbar, after a reaction overstep of
80°C. Such a large overstep may account for the formation of abundant unzoned garnet (
17·7 vol. %), and garnet clusters in sample d1. As discussed by Loomis (1983), the growth rate of product phases will significantly increase with the amount of reaction overstep. Thus, if the overstep is very large, as suggested above, reactant phases such as garnet will grow quickly. Furthermore, if the physico-chemical conditions (PTX ) are constant during growth, the product phases will be unzoned, provided that no fractionation (bulk, surface or Rayleigh fractionation) occurred, and that all elements needed for the growth of the product phases were steadily transported toward the products. The latter point implies the absence of refractory reactant phases or other kinetic effects, which can control the material supply [examples have been provided by Chernoff & Carlson (1997) and Waters & Lovegrove (2002)]. The euhedral garnet habit in sample d1 (Figs 5 and 6) and presence of clusters of garnet grains of various sizes (Figs 5f and 6) strongly suggest interface-controlled growth (Kretz, 1993, p. 110; Daniel & Spear, 1999) of garnet crystals in close proximity, without any competition among growing garnet grains. The latter was obviously achieved by an instantaneous release of significant amounts of H2O during garnet growth, as a result of reactions (R3) and (R4), which allowed a fast intragranular material transport and storage. From the observed textures (Fig. 5), phase diagram predictions and mass balance constraints (Figs 9a and 12c), it seems most likely that staurolite, garnet and biotite were initially formed at the expense of metastable muscovite and chlorite via the reaction (Appendix C)
 | (R3) |
which has the volume balance
(all numbers in vol. %)
 | (R3v) |
Reaction
(R3) ceased on consumption of muscovite. Subseqently, staurolite
was resorbed, whereas garnet growth continued together with
cordierite growth (
Fig. 5a and b) via the reaction (
Fig. 11a)
 | (R4) |
which has the volume balance (all numbers in
vol. %)
 | (R4v) |
Reaction
(R4) ceased
after chlorite reacted out, or was armoured by cordierite (
Fig. 5).
The previous occurrence of muscovite in sample d1, as needed
for reaction
(R3), is well constrained by the fact that muscovite
is the only potential K-bearing phase, which is stable before
biotite-in, along the prograde
P
T path (
Fig. 12a). Thus,
to form biotite in sample d1 muscovite must have reacted. According
to the thermodynamic calculations in
Fig. 12c,

15 mole prop.*
(mole prop.* = mole proportions with quartz and H
2O in excess)
muscovite must have been present in sample d1 before biotite-in,
assuming a closed-system behaviour for sample d1 (with quartz
and H
2O in excess).
Garnet-bearing and garnet-free domains in type D
Although reactions (R3) and (R4) can plausibly account for many garnet, staurolite and cordierite textures observed in sample d1, as well as the release of significant amounts of H2O, the question as to the heterogeneous distribution of garnet and staurolite remains unanswered. We suggest that this could be due to the heterogeneous distribution of muscovite before reaction (R3), resulting in different domain assemblages (Fig. 14ce) formed by irreversible sub-reactions (e.g. Foster, 1981).
As demonstrated for sample a1, garnet will be consumed in domains containing the assemblage grtstchlms as a result of the progress of reaction (R2). Thus, garnet nucleation and growth will be suppressed in mschlst domains, whereas staurolite nuclei will grow by the sub-reaction
 | (R3a) |
In contrast, in muscovite-free domains garnet
will be formed at the expense of staurolite, as a result of
the sub-reaction (biotite and ilmenite are in excess)
 | (R3b) |
The two partial reactions
(R3a) and
(R3b) are end-members, leading to the formation of domain assemblages
(D3') and (D4') (
Fig. 14d). Nucleation and growth of staurolite
adjacent to garnet, to form assemblage (D1), was possible where
the relative proportions of nearby chlorite and muscovite permitted
a reaction similar to
(R3).
 |
SUMMARY AND CONCLUSIONS
|
|---|
(1) K-rich (types AC) and K-poor (types D and E) metapelites
from the Ilesha Schist belt show a wide range of mineral assemblages,
compositions and modes, resulting from variable bulk compositions.
Garnet in the K-rich samples occurs in the assemblages (A) grtstmsplchlmtilm,
(B) andgrtstmsplchlmtilm
and (C) silandgrtmsplchlmtilm,
and in the K-poor samples in the assemblages (D) grtst(much)crdbtchlplilm
and (E) grtst (little)crdbtchlplilm.
In the K-rich metapelites, garnet enclosed by staurolite (types
A and B) and by andalusite (types B and C) is resorbed, whereas
garnet in all domains of the K-poor samples (types D and E)
is euhedral. Furthermore, garnet in type A samples has a characteristic
house of cards texture, formed by oriented inclusions
of biotite and tabular quartz parallel to {110}. Garnet in types
B and D commonly forms clusters. All phases are unzoned, showing
nearly identical compositions on a thin-section scale.
(2) PT pseudosection calculations in the systems CNKTiMnKFMASH(O) predict all observed predominant mineral assemblages, and also, for most samples, the observed mineral compositions and modes (Table 7). The PT pseudosections and PT estimates provide evidence that garnet nucleation and growth in the K-rich metapelites (types A and B) occurred between 575 and 590°C at 5 ± 0·5 kbar. Mode evolution calculations additionally constrain that the observed garnet resorption in types A and B result from prograde garnet consumption during staurolite formation. In the andalusite-bearing samples (types B and C) garnet resorption additionally occurred during retrogression at PT conditions of
550°C at 3 kbar. For K-poor metapelites (types D and E), parity between PT pseudosection calculations and thin-section observations (assemblages, mode and composition) provides evidence that the observed domain assemblages represent total equilibria, which were formed at 590610°C at 5 ± 0·5 kbar.
(3) Combined thin-section observations and PT pseudosection calculations indicate that garnet growth in all samples resulted from reaction of chlorite and muscovite with an overstep of >50°C. Although assessment of the overstep using garnet alone involves significant errors, in particular related to the correct evaluation of the Mn content, the consideration of staurolite can be used to refine the estimates of overstep.
(4) Significant overstep of the garnet-in reaction, as a result of chlorite and muscovite breakdown, can account for the lack of garnet zonations, the presence of garnet clusters, euhedral garnet habits, and the observed house of cards texture. These characteristics point to rapid interface-controlled garnet growth at constant PTX conditions, in the absence of fractionation and refractory reactant phases.
 |
APPENDIX A: ANALYTICAL METHODS
|
|---|
Mineral compositions for samples a2, a3, b1 and e1 were obtained
using a Cameca SX-50 electron microprobe in the Department of
Earth Sciences, University of Cambridge. Spectra were recorded
with an energy-dispersive (ED) Si(Li) detector system manufactured
by Link Analytical Ltd, and processed with the ZAF-4FLS software
provided. An accelerating voltage of 20 kV was used, with beam
currents of 3 nA. A spot size of 23 µm was used
for all analyses except those of feldspars, for which a defocused
beam of

50 µm was used. Electron microprobe analyses of
minerals in samples a1, b2, c1 and d1 were carried out with
a CAMECA SX-50 microprobe in the Mineralogical Institute, University
of Würzburg, with three independent wavelength-dispersive
crystal channels. Instrument conditions were 15 kV acceleration
voltage, 15 nA specimen current, and 20 s integration time for
all elements except for Fe (30 s). Natural and synthetic silicates
and oxides were used for reference, and matrix corrections were
carried out by the PAP program, supplied by CAMECA. Point analyses
were performed with a 5 µm beam diameter for plagioclase
and muscovite, and a 1 µm beam diameter for all other
minerals. Detection limits (1

) for a typical silicate analysis
were

1 wt % relative for each element. Qualitative element maps
of garnet were performed with a JEOL microprobe at the University
of Frankfurt (Department of Mineralogy) using instrument conditions
of 15 kV acceleration voltage, 3 nA specimen current, and 100
ms integration time for all elements. A grid of 3 µm
x 3 µm was used for the sample shown in
Fig. 6ad and 2 µm
x 2 µm for that shown in
Fig. 6eh.
 |
APPENDIX B: ACTIVITY MODELS
|
|---|
Activity expressions assuming ideal mixing on sites for cordierite,
staurolite and chloritoid were used in the formulation of
Mahar et al. (1997).
For muscovite the activity model of Holland (available
from the THERMOCALC website;
www.earthsci.unimelb.edu.au/tpg/thermocalc/)
was employed, and for plagioclase the activity models of
Worley & Powell (1998).
For magnetite we used the formulation of
White et al. (2000). Non-ideal contributions were calculated
for staurolite, biotite, muscovite, garnet, magnetite, ilmenite
and plagioclase using the symmetric formalism method outlined
by
Powell & Holland (1993,
1999) and
Holland & Powell (1996a,
1996b). For staurolite the Margules parameter
Wmst,st = -8 was used (T. Holland, personal communication, 2001).
Biotite: K(Fe2+,Mg,Mn,
)M2(Al,Ti,Fe3+, Fe2+,Mg,Mn)2M1(Al,Si)T1(Si)2T2(OH)2O11
Biotite in the component system (CN)KTiMnFMASHO was modelled using the following compositional variables:
and the orderdisorder parameter
Nbi = 3(
xbi -
xFe2+,M2).
The site distributions in biotite are
where

indicates a vacancy.
The ideal mixing on sites activity expressions for the biotite
end-members are
The end-member proportions
i are given by
Margules
parameters:
Wphl,ann = 9,
Wphl,east = 10,
Wphl,obi = 3,
Wphl,tbi = 10,
Wann,east = 1
Wann,obi = 6,
Wann,tbi = 12,
Weast,obi = 10 (
White et al., 2000). All other Margules parameters
are set to zero. For calculations in the model system (CaN)KTiMnFMASH,
all
fbi terms in the equations above were omitted.
Chlorite: (Mg,Fe,Mn,Al)M1(Mg,Fe,Mn, Al)M2,M3 4(Mg,Fe,Mn,Al)M4(Al,Si)T22SiT12O10(OH)8
Chlorite is modelled using the following compositional variables:
and
the orderdisorder parameter
Qchl = (
xAl,M4
xAl,M1)/2.
The site distributions in chlorite are
The
ideal mixing on sites activity expressions for the chlorite
end-members are
The
end-member proportions
i are given by
Margules parameters
Wafchl,clin = 18,
Wafchl,daph = 14·5,
Wafchl,ames = 20,
Wclin,daph = 2·5,
Wclin,ames = 18,
Wdaph,ames = 13·5 (T. J. B. Holland: THERMOCALC
website). All other Margules parameters are set to zero.
Garnet: (Fe2+,Mg,Ca,Mn)X3(Fe3 + ,Al)Y2Si3O12
Garnet in the model system (NKTiH)MnCFMASO is modelled using the following compositional variables:
The
site distributions in garnet are
The
ideal mixing on sites activity expressions for the garnet end-members
are
The
end-member proportions
i are given by
Margules parameters:
Wpy,alm = 3·0,
Wpy,spss = 4·5,
Wpy,gr = 33,
Wpy,andr = 73,
Walm,andr = 60 (see
White et al., 2000, p. 498). For calculations in the model system
(CaNKTiH)MnFMAS the variable
fg and the Margules parameters
for
Wpy,andr and
Walm,andr were excluded.
Ilmenite: (Mn,Fe2+,Fe3+)A(Ti,Fe3+)BO3
Compositional variables:
Site
distributions in ilmenite are
Activity models are
The end-member proportions
i are given by
Margules parameters:
Wilm,hem = 26·6 and
Wilm,pnt = 1·76 (
Pownceby et al., 1987;
White et al., 2000). For calculations in the model system CaNKMnTiFMASH, pure
ilmenite was used (for further explanation, see text).
 |
APPENDIX C: MASS AND VOLUME BALANCE CALCULATIONS
|
|---|
The mineral volumes were calculated using the partial volumes
of the end-members amesite, clinochlor, daphnite and Mn-chlorite
for chlorite; muscovite, celadonite and Fe-celadonite for muscovite;
annite, phlogopite, Mn-biotite and eastonite for biotite; almandine,
pyrope and spessartine for garnet; Fe-staurolite, Mg-staurolite
and Mn-staurolite for staurolite, Fe-cordierite, Mg-cordierite
and hydrous cordierite for cordierite. The volume data used
are from the internally consistent thermodynamic dataset of
Holland & Powell (1998) at standard conditions.
 |
ACKNOWLEDGEMENTS
|
|---|
A.Z. thanks Uli Schüssler (University of Würzburg,
Germany) for help with the electron microprobe analyses, Heidi
Höfer (University of Frankfurt, Germany) for producing
the garnet element maps, and O. A. Ige (Natural History Museum,
Obafemi Awolowo University, Ife, Nigeria) for use of the samples.
We are indebted to T. J. B. Holland for help with the geothermobarometry
and
P
T pseudosection calculations, although any remaining
misconceptions are our own. We also thank Kurt Bucher, John
Schumacher and an anonymous reviewer for critical comment on
an earlier version of the manuscript.
 |
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