46 2 Isotope Fractionation Processes of Selected Elements
ions (measurement of the masses 308 and 309). The substitution of
133
Cs for
23
Na
increases the molecular mass and reduces the relative mass difference of its isotopic
species, which limits the thermally induced mass dependent isotopic fractionation.
This latter method has a precision of about ±0.25‰, which is better by a fac-
torof10thantheNa
2
BO
+
2
method. Another method has been used by Chaussi-
don and Albarede (1992), who performed boron isotope determinations with an
ion-microprobe having an analytical uncertainty of about ±2‰. Recently, Leceyer
et al. (2002) described the use of MC–ICP–MS for B isotopic measurements of wa-
ters, carbonates, phosphates and silicates with an external reproducibilty of ±0.3‰.
As analytical techniques have been consistently improved in recent years, the
number of boron isotope studies has increased rapidly. Reviews have been given by
Barth (1993) and by Palmer and Swihart (1996). The total boron isotope variation
documented to date is about 90‰. δ
11
B-values are generally given relative NBS
boric acid SRM 951, which is prepared from a Searles Lake borax. This standard
has a
11
B
10
B ratio of 4.04558 (Palmer and Slack 1989).
pH dependence of isotope fractionations
Boron is generally bound to oxygen or hydroxyl groups in either triangular (e.g.,
BO
3
) or tetrahedral (e.g., B(OH)
4
−
) coordination. The dominant isotope frac-
tionation process occurs in aqueous systems via an equilibrium exchange process
between boric acid (B(OH)
3
) and coexisting borate anion (B(OH)
4
−
).Atlow
pH-values trigonal B(OH)
3
predominates, at high pH-values tetrahedral B(OH)
4
−
is the primary anion. The pH-dependence of the two boron species and their re-
lated isotope fractionation is shown in Fig. 2.8 (after Hemming and Hanson 1992).
The pH dependence has been used reconstructing past ocean pH-values by mea-
suring the boron isotope composition of carbonates e.g. foraminifera. This relies
on the fact that mainly the charged species B(OH)
4
−
is incorporated into carbon-
ate minerals with small to insignificant fractionations (Hemming and Hanson 1992;
Sanyal et al. 2000).
Because of the inability to quantitatively separate the two species in solution, a
theoretically calculated fractionation factor of about 1.0194 at 25
◦
C has been widely
used for p
H
estimates (Kakihana et al. 1977). As recently shown by Zeebe (2005)
and Klochko et al. (2006) the equilibrium fractionation factor appears to be signif-
icantly larger than the theoretical value of Kakihana et al. (1977) used in paleo-pH
studies. Klochko et al. (2006), for instance, reported a fractionation factor of 1.0272.
This approach has been not only used to directly estimate the ocean pH from δ
11
B
of foraminifera but to estimate from the p
H
the past atmospheric CO
2
concentrations
(i.e. Pearson and Palmer 1999, 2000; Pagani et al. 2005). An increase in atmospheric
CO
2
results in increased dissolved CO
2
in ocean water, which in turn causes a re-
duction in oceanic p
H
. A note of caution was presented by Lemarchand et al. (2000)
who suggested that boron isotope variations in foraminifera depend at least in part
on variations in the supply of riverine boron to the ocean during the geologic past.
And indeed the boron isotope composition of rivers can be extremely variable (Rose
et al. 2000; Lemarchand et al. 2002). Joachimski et al. (2005) presented evidence