9.2 Mantle
Hf evolution
9.2.1 Hf zircon analysis
Patchett et
al. (1981) investigated the usefulness of initial Hf isotope ratios as a
tracer of mantle Hf through time, using crustal rocks with a clear mantle
derivation. In order to calculate accurate initial 176Hf/177Hf
ratios for many rock bodies without making numerous isochron determinations, Patchett
et al. principally analysed zircon
separates. These provided excellent material for Hf isotope analysis for
several reasons:
1. Hf forms an integral part of the zircon
lattice, which is therefore very resistant to Hf mobility and contamination.
2. The very high Hf concentrations in zircon
(ca. 10 000 ppm) yield very low Lu/Hf ratios and consequently minute age
corrections.
3. There are large quantities of zircon
separates previously prepared for U–Pb analysis, which yield accurate dates for
the same material.
4. Any
metamorphic overprinting or zircon inherited from a previous
crustal history are clearly revealed by the U–Pb data.
Initial
176Hf/177Hf ratios of presumed mantle-derived igneous
rocks of various ages were plotted on a hafnium isotope evolution diagram by
Patchett et al. (1981). All of the
igneous rocks with a mantle-derived signature lay within error of, or above,
the chondrite evolution line (Fig. 9.4). However, only one sample, a
meta-tholeiite dyke cutting the Suomussalmi)Kuhmo greenstone belt in Finland,
had an initial 176Hf/177Hf above a linear depleted mantle
evolution line drawn from the primordial solar system value to the most
radiogenic MORB analysis (Fig. 9.4).

Fig. 9.4. Diagram of Hf
isotope evolution over geological time. Initial ratios of uncontaminated
mantle-derived magmas show them to be derived from a slightly depleted source
relative to chondrites. Data from Patchett et al. (1981).
One
explanation for the fan of Hf data in Fig. 9.4 is their derivation from a heterogeneous
mantle exhibiting variable trace element depletion of Hf relative to Lu through
space and time. An alternative would be to derive magmas from a more depleted
homogeneous source (such as defined by the dashed evolution line in Fig. 9.4)
and subject them to contamination by older crustal basement. Patchett et al. (1981) preferred this model for
the 1.4 Byr-old Silver Plume and 1.0 Byr-old Pikes Peak batholiths of Colorado,
which have Nd and Hf initial ratios
near the chondritic evolution line, and were argued to contain large fractions
of 1.7 Byr-old crust by DePaolo (section 4.2.2). Two 1.8 Byr-old post-tectonic
granites intruded into the Archean craton of north Finland had spectacularly
low initial ratios, corresponding to , Hf values of !10 and !12. These two samples are clearly of
crustal derivation on the basis of Pb and Sr isotope data, and were selected to
demonstrate the effects of crustal reworking on Hf isotope systematics.
It
is important to remember that when this paper was published (in 1981) the only
conclusive Nd isotope evidence for depleted mantle in the Proterozoic was
provided by the work of DePaolo on the
9.2.2 Archean sediments
Because
Hf involves greater analytical difficulties than Nd, the latter has been the
primary tool for studying continental growth through geological time (section
4.4). However, the resistance of zircon to weathering and to metamorphic re-setting
means that Hf isotope analysis of this mineral provides a good test for Nd
isotope data in studies of the Earth’s early evolution, involving both ancient
sediments and mantle-derived igneous rocks. These data have then been used to
constrain models of crustal growth or recycling in the early Archean (section
4.4.2).
Stevenson
and Patchett (1990) made the first Lu)Hf study on Archean and Proterozoic sedimentary
zircons from the Canadian,
The
use of a depleted mantle model implies provenance ages ca. 200 Myr older than
the CHUR model, suggesting a significant volume of Early Archean crust.
Nevertheless, there is no evidence for a ‘big bang’ model in which the volume
of Early Archean crust was as great as that at the present day. Consequently,
the data provide some support for a model involving progressive crustal growth
with time, but are nevertheless ambiguous.

Fig. 9.5. Model age versus stratigraphic age diagram for sedimentary zircons to
constrain crustal growth models for the Archean. ( ! ) = Hf data; ( Q ) = Nd data. Dashed line accents
the upper envelope of the data. After Stevenson and Patchett (1990).
Amelin
et al. (1999) extended the study of
Hf in detrital zircons to the early Archean. This was based on zircons from the

Fig. 9.6. Plot of , Hf against 207/206 lead ages for 37
detrital zircon grains from the Jack Hills meta-conglomerate of the Narryer
gneiss complex of western Australia. Error bar indicates average precision.
Modified after Amelin et al. (1999).
Back
projection of the Hf isotope crustal growth line to an intersection with the
chondritic evolution line allowed the formation age of this mafic crustal
terrane to be estimated. The result obtained using the conventional chondritic
evolution line suggested a crustal formation age of around 4.1 Byr for this
terrane. However, the new low decay constant would imply a chondritic evolution
line about 3 epsilon units higher, and therefore a crustal formation age of
around 4.4 Byr (Amelin et al., 2000).
This implies that at least some crustal fragments were in existence almost
immediately after the last giant impact event led to the formation of the Moon
(section 15.5.4). On the other hand, the new high decay constant implies a
chondritic line 2 - 3 epsilon units lower than the old value. This would imply
that mantle depletion was occurring very early in Earth history.
9.2.3 Western Greenland
Another important application of Hf isotope
data was to test Nd evidence for early crustal evolution in western Greenland.
Nd isotope analysis of Amitsoq gneisses by Bennett et al. (section 4.4.4) had previously implied a large range of , Nd values, based on initial ratios
calculated at the U–Pb ages of the rocks. This included some strongly positive , values, suggesting strong mantle
depletion in the Early Archean. To test these results, Vervoort et al. (1996) analysed zircon separates
from a selection of the samples analysed by Bennett et al. However, the , Hf values fell in a narrower range than , Nd, suggesting to Vervoort et al. that whole-rock Sm–Nd systems in
some of these rocks had probably been disturbed.
In
a continuation of this study, Vervoort and Blichert-Toft (1999) analysed Hf in
both whole-rock samples and additional zircon separates. The results bore out
the earlier work, showing that whole-rock Hf–Nd isotope systematics in the West
Greenland samples depart from the Mantle Array defined by juvenile samples
younger than 3.5 Byr (Fig. 9.7). Hence, the whole-rock Hf isotope data support
the earlier data on zircon separates in implying that the Nd isotope system was
somewhat disturbed. It should also be noted at this point that these
conclusions apply to samples from the heavily reworked southern area of the
Itsaq gneiss terrane (as it is now called), as well as the less reworked
northern area (see section 4.4.4).

Fig. 9.7. Plot of initial , Hf against , Nd (using values of t from U–Pb
ages) for Amitsoq gneisses ( ! ) compared with a variety of juvenile samples less than 3.5 Byr old ( " ). After Vervoort and Blichert-Toft
(1999).
When
initial Hf isotope ratios are plotted against U–Pb ages, the resulting Hf
isotope evolution plot shows essentially linear depletion with time, supporting
the model of progressive continental growth through time (Fig. 9.8). An
exception to this linear evolution trend is exhibited by some zircon data from
the Amitsoq gneisses, with 176Lu/177Hf values less than
0.1, which are shown by solid symbols. However, these samples are the most
susceptible to perturbation by any errors in the decay constant, because their
evolution lines depart most strongly from the chondritic evolution curve. In
view of the uncertainties in the decay constant, these samples should be given less
significance in interpreting the depleted mantle composition against time,
suggesting that this is essentially a linear evolution trend.

Fig. 9.8. Hf isotope evolution plot showing
initial ratios of juvenile mantle-derived rocks. Samples with low Lu/Hf ratios
are shown by solid symbols. After Vervoort and Blichert-Toft (1999).
Notwithstanding
the results previously obtained, Blichert-Toft et al. (1999) reversed their earlier position on gradual Hf mantle
depletion in the Early Archean as a result of new Hf isotope analysis on the
Isua supracrustal sequence of western Greenland. As described in section 9.1,
this sample suite, and one from western Africa, gave apparent Lu–Hf isochron
ages consistently lower than Sm–Nd isochron ages on the same whole-rock
samples. This led Blichert-Toft et al.
(1999) to invoke Hf mobility in these samples, whose effects they tried to ‘see
through’ by a fairly complex modelling procedure. The result of this modelling
was to create strongly positive , Hf and , Nd values, implying strong mantle
depletion. However, in a scientific comment on this paper, Villa et al. (2001) pointed out that the use
of the new Lu decay constant causes the Sm–Nd and Lu–Hf isochron ages to agree
within error, avoiding the necessity for wholesale Hf isotope re-setting in these rocks. In the meantime, however, Albarede et al. came up with a different
explanation of the Hf data. This was based on the Lu/Hf versus Sm/Nd diagram,
which has been quite widely used in Hf isotope studies.
Firstly,
Albarede et al. plotted measured ratios
of Lu/Hf against Sm/Nd for Early Archean rocks of western

Fig. 9.9. Plot of measured concentration
ratios of Lu/Hf and Sm/Nd for Amitsoq gneisses ( " ) and Isua metavolcanics ( ! ), compared to a ‘Mantle Array’ of
modern volcanic rocks. After Albarede et al.
(2000).
Having
thus ‘screened’ the Early Archean samples for disturbance, Albarede et al. then plotted the ‘successful’
samples on a graph of time-integrated Lu/Hf versus Sm/Nd ratios (Fig. 9.10).
The significance of the plotted ratios of Lu/Hf and Sm/Nd is that these
are model
values necessary to generate the initial isotope ratios of the samples (at the
time of igneous crystallisation given by their U–Pb age) by isotopic evolution
in a closed system starting from a chondritic composition 4.56 Byr ago. In
essence, this is equivalent to plotting , Hf against , Nd. When the western Greenland
Early Archean samples are compared with modern oceanic volcanics, lunar samples,
and Martian (SNC) meteorites, it appears that the Greenland rocks show similar
variations to other solar system bodies (the Moon and Mars) which were
characterised by very heterogeneous isotope signatures in their early history.
Hence, Albarede et al. inferred that
the Greenland magmas were sampling a heterogeneous terrestrial mantle.

Fig. 9.10. Plot of model (time-integrated)
Lu/Hf versus Sm/Nd ()) necessary to generate calculated initial Hf and Nd isotope ratios of
igneous rocks at the time of their crystallisation. The ratios are chondrite
normalised using the new Hf decay constant. ( <> ) = Moon; ( Î ) = Mars; ( ! ) = Isua; ( " ) = Amitsoq; After Albarede et al. (2000).
Because
the argument put forward by Albarede et
al. is quite complex, it is difficult to evaluate. However, there are a
couple of hidden assumptions. The first is that colinearity with modern
volcanics in Fig. 9.9 implies a lack of disturbance. This need not be true if
the manner of disturbance of the gneisses was isotopic homogenisation between
different rock types, as was suggested by Moorbath et al. (section 4.4.4).
The
second assumption is that the spread of time-integrated Lu/Hf and Sm/Nd ratios
in the
9.2.4 Mantle depletion and recycling
Patchett and Tatsumoto (1980c) made the first
Hf isotope measurements on selected MORB and OIB samples (that had previously been
analysed for 143Nd/144Nd and 87Sr/86Sr).
These data, augmented by Patchett (1983), show that 176Hf/177Hf
very closely parallels 143Nd/144Nd in OIB (Fig. 9.11).
However, MORB samples display a proportionally greater degree of spread in 176Hf/177Hf
(60% of the total range for oceanic basalts) than 143Nd/144Nd
(only 30% of the total range). Hence the MORB arrays in Fig. 9.11 are nearly
three times steeper than the OIB arrays. Patchett and Tatsumoto attributed
these differences to stronger fractionation of Lu/Hf than Sm/Nd and Sr/Rb in
very trace-element depleted source regions such as MORB, due to the greater
incompatibility displayed by Hf relative to Lu than Nd/Sm or Rb/Sr.

Fig. 9.11. Hf versus Sr and Nd isotope diagrams showing early data for oceanic
volcanics. OIB samples define a Mantle Array, but MORB samples show some
decoupling of Hf systematics from Sr and Nd. After Patchett (1983).
Compared
with their radiogenic Hf isotope signatures (indicative of a depleted source),
many MORB samples are enriched in Hf/Lu (corresponding to a low Lu/Hf ratio).
This phenomenon has also been observed for other incompatible element systems
such as Sm/Nd and U/Th, and is generally attributed to sequential extraction of
very small degree melts (sections 6.2.2 and 13.3.1); however, it is more marked
in the Lu)Hf system than the
Sm)Nd system.
Salters and Hart (1989) attributed this ‘hafnium paradox’ to residual garnet in
the MORB source. Because Hf is not a true rare earth element, its chemistry is
not coherent with that of the heavy REE. This is illustrated by the mineral)magma partition coefficients shown
in Fig. 9.12. Hence there is an opportunity for more extreme fractionation in
Lu/Hf than in Sm/Nd ratio when low-degree melting occurs at depths greater than
80 km, within the garnet stability zone.

Fig. 9.12. Partition coefficients for REE and
Hf between minerals (cpx, garnet) and kimberlite magma. After Fujimaki et al. (1984).
Gruau
et al. (1990) analysed 3.5 Byr-old
komatiites from the Onverwacht Group of South Africa to see whether Archean
depleted mantle displayed extreme ranges of Lu/Hf depletion due to garnet
fraction. They compared Al-depleted and Al-enriched komatiites, whose
contrasting chemistry is attributed to garnet fractionation in the mantle
source. However, calculated initial Hf and Nd isotope ratios were indicative of
similar degrees of mantle depletion (, from 0 to +2) in both Al-enriched and Al-depleted
types. Hence there is no evidence for widespread garnet fractionation in the
early Earth, such as might have resulted from a magma ocean. Consequently the
major-element composition of the magma was attributed to garnet fractionation
in the source during the komatiite melting event itself, a conclusion supported
by Blichert-Toft and Arndt (1999).
Although
the concept of garnet fraction from an ancient magma ocean has been rejected,
Salters and Hart (1991) argued that variable garnet contents in ancient melting
events could nevertheless explain the partial decoupling of Hf)Nd isotope systematics in MORB. When
garnet is present in the residue from melting, this residue develops high Lu/Hf
ratios, and hence, over time, a radiogenic Hf isotope signature. On the other
hand, the melting residues of (garnet-free) spinel peridotites will have lower
Lu/Hf ratios, resulting in less radiogenic Hf isotope signatures over
geological time. Johnson and Beard (1993) termed these two types of depleted
mantle signature DMM-I and DMM-II respectively, and showed that the latter type
was also represented in the source of Tertiary basalts in the southern
Salters
(1996) presented an enlarged Hf–Nd data set for MORB samples in order to re-examine
the ‘hafnium paradox’ in ocean ridge magmatism. Trace element fractionation
during melting is quantified using the ) value, which compares the actual
Lu/Hf and Sm/Nd ratios in MORB samples with the time-integrated ratios
necessary to generate observed isotopic signatures by evolution from a 2 Byr
old chondritic source (Fig. 9.13).

Fig. 9.13 Plot of time integrated ratios of
Sm/Nd and Lu/Hf ()) necessary to generate observed isotope ratios in MORB ( "
) and OIB ( !) over 2 Byr. Curves show model melting conditions which can explain the
) ratios as
calculated. After Salters (1996).
Almost
all MORBs and OIBs have significantly more extreme ) (Lu/Hf) values than ) (Sm/Nd) in Fig. 9.13, which implies
melting in the garnet stability zone. In addition, average ) values (interpreted as garnet
signatures) from four different ridges showed a positive correlation with the
water depth over the ridge (Fig. 9.14), which in turn is inversely dependent on the rate of magma generation at the ridge.
In other words, the ridge with the lowest rate of magma generation had the
largest garnet signature. This is the opposite of what would be predicted for
peridotite melting, since ridges with high magma generation rates should begin
melting at greater depth allowing a longer melting interval in the garnet zone.

Fig. 9.14. Plot of calculated ) values for Sm/Nd (Fig. 9.13)
against water depth for a selection of ridge segments. ) Lu/Hf shows a similar pattern.
After Salters (1996).
To
explain this paradox, Hirschmann and Stolper (1996) argued that Lu/Hf
fractionation in MORB results from melting of garnet pyroxenite (rather than
garnet peridotite) in a marble cake mantle. According to this model, the
‘garnet signature’ from melting of pyroxenite is preserved under deep ridges
with low melting rates, but under shallow ridges this signature is diluted by
large-scale melting of spinel peridotite. Evidence from other isotopic systems
may help to resolve this debate (sections 8.3.6 and 13.3.4).
The
advent of MC-ICP-MS offered the opportunity to test the earlier work on MORB
samples by the analysis of larger sample suites at levels of precision nearly
an order of magnitude better. At first, it appeared that the large spread of Hf
isotope analyses originally measured by Patchett et al. on Atlantic MORB samples might not be reproduced (e.g.
Nowell et al., 1998; Kempton et al., 2000). However, subsequent work
by Chauvel and Blichert-Toft (2001) was able to reproduce most of the range of
Hf isotope ratios seen in the early work on MORB.
Hf
analyses of OIB samples were presented by Salters and Hart (1991) and Salters
and White (1998) in order to establish the locations of the end-member
components proposed by Zindler and Hart (section 6.4.2). The results (Fig.
9.15) showed that EMI and EMII were strongly colinear. On the other hand, the
isolation of HIMU below the main trend suggests a possible connection with the
DMM-II component, which was attributed by Johnson and Beard (1993) to ancient
depleted spinel peridotite. In other words, if we take into account the location
of the HIMU field below the main OIB array, the degree of decoupling between Hf
and Nd isotope signatures in OIB mirrors that seen in MORB.

Fig. 9.15. Hf)Nd isotope diagram, showing fields
for geochemically important ocean islands, along with the estimated
compositions of end-members. The Leucite Hills represent subcontinental
lithosphere. Modified after Salters and Hart (1991).
9.2.5 Sediment recycling
Another geological environment where Lu/Hf can
undergo strong fractionation relative to Sm/Nd is the sedimentary system.
Patchett et al. (1984) plotted Lu/Hf
ratios against Sm/Nd for various types of marine sediment (Fig. 9.16). While 147Sm/144Nd
ratios are more-or-less constant at ca. 0.12 ) 0.14 in most samples analysed,
176Lu/177Hf is strongly fractionated between sandstones
and clays. Patchett et al. attributed
this fractionation to the very strong affinity of Hf for zircon, which, because
of its resistance to mechanical and chemical attack, becomes enriched in
sand-grade sediments. Hf is correspondingly depleted in the fine-grained clay
fraction.

Fig. 9.16. Plot of Lu/Hf versus Sm/Nd ratio in different sediment types, showing that large
fractionations in Lu/Hf are not accompanied by significant changes in Sm/Nd.
After Patchett et al. (1984).
The
sorting of marine sediments according to grain size is expected to yield low-Lu/Hf
sands and turbidites on the continental shelf and continental slope, medium-Lu/Hf
shales and clays, and very-high-Lu/Hf red clays and Mn nodules in the deep
ocean, where terrigenous sediment is lacking. These variations in sediment
Lu/Hf ratios were in turn predicted to generate large variations in Hf isotope
ratio after recycling and storage in deep mantle reservoirs. Hence, Patchett et al. (1984) calculated that any
individual sediment type subducted (e.g. red clay, average pelagic sediment, or
turbidite) would yield distinctive isotopic compositions after 2 Byr of residence
in the mantle (Fig. 9.17). Since such dramatic divergences are not seen in OIB
samples, Patchett et al. concluded
that the magnitude of sediment recycling into the mantle must be strictly
limited.

Fig. 9.17. Trends in OIB data predicted to
result from the subduction of different types of sediment into the deep mantle,
followed by storage for 1 – 2 Byr. After Patchett et al. (1984).
Island-arc
basalts offer a means of monitoring the composition of material actually being
recycled into the mantle, in order to test theoretical models such as Patchett et al. (1984). Hf)Nd isotope data were presented by
White and Patchett (1984) for arc basalts sampling depleted and enriched
sources (solid symbols in Fig. 9.18). These data fall within the field of OIB
samples, showing that old sedimentary material presently being subducted into
the mantle has appropriate Hf)Nd systematics to explain the composition of OIB magmas. Therefore,
contrary to the prediction of Patchett (1984), this implies that non-extreme mixtures
of the various sediment types can
explain the composition of OIB sources with moderate ease.

Fig. 9.18. Hf–Nd isotope plot showing the
composition of Island Arc Basalts ( ! , and marked fields) relative to MORB, OIB and
subcontinental lithosphere. After Salters and Hart (1991).
This
conclusion was supported by MC-ICP-MS analysis of Hf in a much larger suite of
sediment samples by Vervoort et al.
(1999). This work showed that Hf–Nd isotope systematics in the global
sedimentary system were more coherent than previously expected. Apart from a
very few extreme samples, the vast majority of sediments (of a wide variety of
ages) lie along the same trend as the OIB mantle array (Fig. 9.19). This is
particularly true for sediments from active margins, which are much more likely
to be recycled into the mantle than passive margin sediments. Therefore, it is
concluded that Hf isotope data provide a weaker constraint on sediment
recycling into the mantle than originally expected, so that models involving
terrigenous or pelagic sediment recycling into different OIB reservoirs are no
longer ruled out.

Fig. 9.19. Hf–Nd isotope data for a large
suite of sediments of different ages ( ! ) to show variation relative to the
field of oceanic volcanics. After Vervoort et
al. (1999).
With
the advent of new high-precision Hf data sets from MC-ICP-MS, more subtle
trends have been observed within the OIB data set, which can give a better
understanding of the origins of OIB sources from various types of recycled
crustal material. For example, a detailed Hf isotope study of Hawaiian lavas
(Blichert-Toft et al., 1999) revealed
two en echelon arrays formed
respectively by the Koolau volcano and by a composite of several other volcanoes
(Fig. 9.20). These arrays cut across the main Nd–Hf isotope array in OIB, with significantly
lower slopes, and were attributed to a significant fraction of recycled pelagic
sediment in parts of the Hawaiian plume, mixed in different proportions with a
component of recycled oceanic lithosphere. This model is supported by osmium
and oxygen isotope evidence (section 8.3.4). A similar shallow trend,
consistent with a subducted sediment component, was subsequently found in
Pitcairn samples (Eisele et al.,
2002). Since Pitcairn is the most extreme example of the EMI mantle reservoir,
this supports the model of pelagic sediment recycling into this OIB source
(section 6.5.3).

Fig. 9.20. Plot of , Hf versus , Nd compositions for several
Hawaiian volcanos relative to the main trend of the Hf–Nd OIB array. ( ! ) = Koolau volcano; ( " ) = Lanai & Kahoolawe; (
<> ) = Haleakala. After Blichert-Toft et
al. (1999).
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