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Potassium and calcium isotopic fractionation by plants (soybean [Glycine max], rice [Oryza sativa], and wheat [Triticum aestivum]) John N. Christensen, Liping Qin, Shaun T. Brown, and Donald J. DePaolo ACS Earth Space Chem., Just Accepted Manuscript • DOI: 10.1021/ acsearthspacechem.8b00035 • Publication Date (Web): 13 Jun 2018 Downloaded from http://pubs.acs.org on June 18, 2018
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ACS Earth and Space Chemistry
Potassium and calcium isotopic fractionation by plants (soybean [Glycine max], rice [Oryza sativa], and wheat [Triticum aestivum]) John N. Christensen1* Liping Qin2 Shaun T. Brown1 Donald J. DePaolo1,3 1Earth
and Environmental Science Area, Energy Geosciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720. 2CAS Key Laboratory of Crust-Mantle Materials and Environment, University of Science and Technology of China, 96 Jinzhai RD., Hefei, Anhui 230026, China 3Department of Earth and Planetary Science, University of California, Berkeley, CA 94720. *Corresponding author
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Keywords: Calcium isotopes; K isotopes; hydroponics; nutrient uptake and transport
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Abstract We conducted hydroponic experiments growing soybean (Glycine max), rice (Oryza sativa) and wheat (Triticum aestivum) under K and Ca replete conditions to establish the degree of K isotopic fractionation by plants, and compare the isotopic fractionation of Ca and K. Each of the test plants displays fractionation relative to the growth solution favoring the light isotopes of K and Ca. The average δ41K of the roots from the three plant species were similar, and have an overall average of 0.55±0.24‰ 2s, while the overall average δ44Ca for roots is -0.67±0.44. For leaves, the overall average of δ41K is -0.97±0.4‰, compared to an overall average leaf δ44Ca of -0.83±0.09‰. In the case of the soybean plants, the lightest K and Ca occurs in the stems with average δ41K of -1.31±0.40‰ 2s and average δ44Ca of -1.20±0.19 ‰ 2s. We present a simple box model involving the relative fluxes of K and its isotopic fractionation that reproduces our K isotopic observations and suggests a fractionation of ~0.8‰ with K uptake from solution by roots. Directly comparing the per amu fractionation of K and Ca reveals an average factor of 2.05±0.50 2s greater fractionation of K isotopes which may reflect their different roles and behaviors in plants.
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Potassium (K) and calcium (Ca) are key elements for plant physiology, being the
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highest concentration cations in plants and, together with N and P, among the most
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crucial elements for plant growth and productivity (1-3). K is centrally involved in a
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wide range of crucial biophysical and biochemical processes in plants, including cell
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osmotic pressure regulation, growth, regulation of photosynthesis, ion homeostasis,
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control of cell membrane polarization, enzyme conformation/activation, water
Introduction
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conservation and salt resilience (4, 5). Ca has its own crucial roles including as a
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significant component in cellular walls, the maintenance of membrane integrity
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against the passive transfer of H+, K+, Na+ and other monovalent cations, and
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biochemical signaling (2, 6, 7). Due to these various essential roles, much research
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has focused on the mechanisms of K and Ca uptake by and transport within plants
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(8-15). For Ca and Mg, another key nutrient element, isotopic fractionation by
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plants has been investigated both experimentally in the lab to elucidate processes of
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acquisition and transport (16-19), but also in the field (e.g. 20-25) as monitors of the
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local and global biogeochemical cycling (weathering) of these elements.
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isotopic fractionation by plants of micronutrients such as Fe, Cu, Zn, and Mo have
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also been measured (26-32). In the case of K it has been suggested that terrestrial
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plants represent a significant reservoir for K, with as much as 40-70% or more of
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the dissolved K in the world’s rivers coming from the decay of plant matter (33),
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mass balance based on K/Rb), resulting from its crucial role as a plant nutrient.
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Therefore, potassium isotopic systematics potentially provides a new tool for
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tracking and quantifying nutrient cycling in ecological systems (e.g. boreal and
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tropical forests); a proxy for global geochemical cycling; and a research avenue for
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understanding the optimal fertilization for efficient agricultural food production. To
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fulfill that potential, the degree of K isotopic fractionation by plants needs to be
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established.
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The
Two published studies do suggest that plants may fractionate K isotopes. 41K/39K
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Deviations in the
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favoring the light isotope have been measured by Li et al. (34) in several plant
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materials (rice grains, chili peppers, tea leaves and Wolfberry fruit), but with no
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measurement of the K sources. Likewise, in their broad survey of natural geologic
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and organic materials Morgan et al. (35) found that a banana and a potato
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purchased in a Scottish grocery had
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respectively than seawater K, but again with no measurements of the K sources.
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Here we use hydroponically grown plants, with isotopically characterized K and Ca
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nutrient sources, to quantify and compare the isotopic fractionation of K and Ca by
ratio of ~1‰ from an in-house reference material
41K/39K
~0.4‰ lighter and ~0.1 ‰ heavier
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three species of vascular plants- soybean (Glycine max), rice (Oryza sativa) and
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wheat (Triticum aestivum). These three plants were chosen to cover a selection of
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important food crops; and each are C3 plants. We choose to compare K and Ca
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isotopic fractionation for several reasons. First, the atomic weights of K and Ca are
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relatively close so that mass fractionations can be easily compared. Secondly, K and
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Ca have contrasting roles in plant physiology as described above, and have
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contrasting valencies. Thirdly, there is a body of experimental data on Ca isotopic
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fractionation by plants that we can compare our Ca isotopic results to (e.g. 18).
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Methods
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Soybean, rice and wheat were grown from seeds and cultivated in a large
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hydroponic system at the U.C. Berkeley Oxford Facility greenhouse. The hydroponic
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solution, a modified Hoagland’s solution replete with Ca nitrate (1.25 mM) and K
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nitrate (2.5 mM, somewhat higher than the typical range of 0.1mM to 1mM in soil
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porewaters (36), was replenished periodically to provide an isotopically constant
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source of Ca and K during plant growth. Plants were harvested before full maturity
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for analysis after growth periods of 2, 4, 6 and 8 weeks. Harvested plants were
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divided broadly for soybeans into root, stem and leaf samples, and for rice and
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wheat plants into samples of roots and leaves. The plant samples were rinsed, dried
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and weighed, and then ashed before complete dissolution in high-purity nitric acid.
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Aliquots were taken of the sample solutions for K and Ca isotopic analyses. K was
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separated from the sample aliquots using AG50x8 cation resin and 1M HNO3 (37).
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The K isotopic analyses were conducted on an IsoProbe MC-ICPMS at Lawrence
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Berkeley National Lab (LBNL) using a sample-standard bracketing technique where
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Ar-based mass interferences were removed (and peak tailing avoided) by the
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introduction of Ne+H2 gas to the hexapole collision cell (38). Results are reported as
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per mil deviations of the
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using a spectroscopic concentration standard (ULTRA Scientific). We estimate that
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our in-house standard on the Bulk Silicate Earth (BSE) scale of Wang and Jacobsen
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(39) has an approximate δ41KBSE of +0.5‰. For Ca isotopic analysis, the sample
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aliquots were spiked with a 42Ca-48Ca double spike before chemical separation using
41K/39K
ratio (δ41K) relative to an in-house K standard
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Eichrom DGA resin eluted with 3N HNO3 and separated Ca collected with DI H2O (40,
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41). The spiked Ca separates were then analyzed for isotopic composition using
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thermal ionization mass spectrometry with a Triton multicollector instrument using
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a multi-dynamic Faraday cup routine. The Ca isotopic results are reported as per
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mil deviations of the
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44Ca/40Ca
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is -1.0±0.1 2s. Further details of the K and Ca separation and isotopic analyses are
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presented in the Supplement.
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Results
44Ca/40Ca
ratio (δ44Ca) from the Bulk Silicate Earth (BSE)
of 0.0212035 (42). On this scale our long-term average δ44Ca of SRM915A
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The K isotopic composition of the K-nitrate used in the hydroponic solutions is
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indistinguishable from the in-house standard (Table 1). Likewise, the Ca isotopic
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composition of the Ca nitrate is indistinguishable from BSE (Table 1). For both K
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and Ca isotopic compositions, each of the test plants show fractionation favoring the
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light isotope (Figure 1). No resolvable trends with growth time in K or Ca isotopic
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composition are observed, which indicates that replenishment of the hydroponic
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solution provided an effectively infinite K and Ca source reservoir during plant
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growth, and that the size of the plants had no discernable effect on the magnitude of
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the isotopic fractionation for each species. The greatest degree of K and Ca isotopic
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fractionation is seen in the soybean plants, followed by wheat and then rice. The
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δ41K analyses of plant roots represents K acquisition, and indicates a fractionation of
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-0.65±0.22‰ for soybean (average±2s, n=4), -0.40±0.17‰ for rice (average±2s,
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n=4) and -0.74±0.36 (average±2s, n=3) with an overall average δ41K of -
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0.55±0.24‰ 2s. For Ca, the roots gave δ44Ca of -0.50±0.26‰ for soybean
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(average±2s, n=4), -0.67±0.4 for rice (average±2s, n=3), -0.82±0.24 (average±2s,
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n=3) for wheat with an overall average δ44Ca of -0.67±0.44. The average K isotopic
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compositions of leaves are -1.216±0.095‰ (n= 4) for soybean, -0.62±0.18‰ (n=4)
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for rice, and -1.11±0.46‰ (n=4) for wheat with an overall average of -0.97±0.4‰,
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compared to an overall average leaf δ44Ca of -0.83±0.09‰. The root-leaf difference
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in δ41K for each of the plants is small with the average difference for soybean of
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0.57±0.37‰, for rice of 0.26±0.28‰ and for wheat 0.59±0.3‰. The average root-
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leaf δ41K difference for all the plants is resolvable from zero at 0.47±0.16‰
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however the average root-leaf difference in δ44Ca of 0.03±0.25‰ is essentially zero.
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For the soybean plants, where stems were analyzed in addition to roots and leaves,
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the lightest K occurs in the stems (δ41K ave. =-1.31±0.40‰ 2s) as does the lightest
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Ca (δ44Ca ave = -1.20±0.19 ‰ 2s), with average root-stem differences of
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0.64±0.26 ‰ for δ41K and 0.70±0.23 % for δ44Ca. A similar root-stem difference in
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δ44Ca of 0.45±0.09 ‰ has been observed in experiments with French beans under
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similar growth conditions (18). A small or zero root-leaf difference in δ44Ca is also
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consistent with the observations in Cobert et al. (18).
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The overall pattern of isotopic fractionation of K and Ca is similar for each of the
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plants, but there is a difference in the relative size of the fractionation. Since
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different mass differences are involved in the measured isotopic compositions of K
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(41K &
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directly compare the isotopic fractionation of these two elements by plants it is
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useful to compare them on a per amu basis (Table 3). The average ratio of the per
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amu fractionation of K isotopes to Ca isotopes is 2.05±0.50 suggesting an
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approximate factor of 2 larger discrimination by plants of the light K isotope
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compared to the light Ca isotope, though they have similar atomic masses.
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Discussion K and Ca transport flux model and fractionation factors
39K,
a difference of 2 amu) and Ca (44Ca &
40Ca,
a difference of 4 amu), to
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We have measured differences in isotopic ratios between different parts of the
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plants and between the plants and the source K and Ca in the hydroponic solution
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(our analog for “soil porewater”). We would, however, also like to say something
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about the isotopic fractionation that accompanies the movement of K and Ca
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between “soil porewter” and roots and then within the plant. This fractionation may
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not be simply the difference in isotopic ratio, because each part of the plant has
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fluxes of K and Ca entering and exiting. To address this issue we have constructed a
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fairly simple box model that treats each of the major parts of the plant (roots, stem,
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leaves) as a separate reservoir and evaluate how K and Ca isotopes would need to
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be differentially transported to explain the observations.
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The model and the associated equations (Figure 2) are explained in more detail
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in the Supplement. Isotopic fractionation is assumed to occur during transfer of K
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and Ca between reservoirs. The isotopic fractionation factors (ε) represent the
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difference in δ41K (or δ44Ca) between the K (or Ca) transported out of a reservoir,
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and the average value in the reservoir. The accumulation rate of K in each reservoir
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is assumed to be proportional to the (mass) growth rate of that reservoir. For
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example, the growth rate of roots is proportional to F1+F4-F2, and the growth rate of
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stems is proportional to F2-F3. The ratio of the growth rate of root to the growth
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rate of shoots (=stem + leaves) is [F1/(F2-F4)]-1. The proportionality between K
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content and mass is consistent with the generally constant concentration of K in
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plant biomass, although what differences there are would need to be factored in for
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relating the model flux values to mass changes.
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The observed difference between root K and hydroponic solution K (“soil
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porewater” K referred to as “soil”) is in the range of ∆root/soil = -0.5 to -0.9‰. This
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observed difference is a function of various K fluxes (Fi) and isotopic fractionation
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factors (εi) as shown in Figure 2. The model and data do not allow for much latitude
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with regard to the fractionation factors, but we work through the analysis to show
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how the model can be used to deduce the εi values. We begin with the ∆ values
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(difference between δ41K values) between leaf and stem, or between stem and root.
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For example the typical values of ∆stem/root are -0.5 to -0.8 ‰ (Table 2). Since leaves
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are typically heavier than stems, and can be affected by recycling of K back to the
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roots, it may be reasonable to set ε3 = 0 ‰ as a first guess, which then requires that
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ε2 ≈ -0.5 to -0.8 ‰ (fractionation between the root-to-stem flux and roots; Figure 2,
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eqn. B). Because the bean leaves typically have δ41K that is similar to or slightly
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higher than that of stems, it suggests that ε4 has a small negative value, which we
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estimate as -0.2 ‰ (or slightly larger because F3/F4 < 1 if there is leaf growth;
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Figure 2, eqn. A).
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Given that we have values for ε2 (-0.6 ‰) and ε4 (-0.2 ‰) we can substitute
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them into the equation for the (measured) effective root/soil fractionation (Figure 2,
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eqn. C):
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∆ root/soil = 194
F1 F F ε1 − 2 ε 2 + 4 (ε 4 + ∆leaf /soil ) F1 + F4 F1 + F4 F1 + F4
(1)
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We have measured ∆root/soil to be -0.5 to -0.8 ‰, so by the above reasoning we now
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have values for all of the parameters except ε1 and the fluxes.. To go farther we need
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approximate values for the K flux ratios, and we use F1:F2:F3:F4 = 1: 0.8 : 0.6 : 0.4
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based on published experiments on lupin (43). With these values the stems and
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leaves are growing at the same rate, and 40% of the K being taken up by the plant is
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being returned to the roots from the leaves. The root/shoot mass ratio would be 1.5,
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which is a typical value (44). Substituting into equation (1), and estimating ∆leaf/soil =
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-1.2 ‰ (Table 2), gives ε1 = -0.7 to -1.0 ‰ (fractionation between root and soil pore
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water). Using this value and the flux ratios given above we can then deduce a self-
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consistent set of isotopic ∆ values:
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∆root/soil = -0.6 ‰; ∆stem/root = -0.6 ‰; ∆leaf/stem = +0.1 ‰ and ∆leaf/soil = -1.1 ‰.
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Thus, given a plausible set of fluxes, and the fractionation factors (ε’s) deduced
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above, we can reproduce the observed general pattern and magnitudes of K isotopic
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distribution. Our analysis suggests that the isotopic discrimination associated with K
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uptake from the hydroponic solution is the largest (ε1 = -0.7 to -1.0 ‰), the
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discrimination associated with transfer of K from root to stem is the next largest (ε2
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≈-0.6 ‰), and the other two discrimination factors are small (0 to -0.2 ‰).For the
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example given, if the hydroponic solution has δ41K = 0, then the δ41K values for the
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roots, stems, and leaves would be -0.6, -1.2, and -1.1 ‰ respectively, similar to
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those observed (Table 2). As a check, the bulk plant ∆41K value relative to the
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solution muct be equal to ε1. We do not have measurements of the relative masses of
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the plant parts, but it is evident from the data that the bulk plant has a δ41K
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somewhat lower than the roots, and hence is likely to be in the same range as
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inferred for ε1 (i.e. ∆41Kplant-solution ≈ -0.7 to -1.0 )
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The model can help evaluate isotopic fractionation in the plants under different
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growth conditions, because the observed isotopic differences between plant
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components depend on the flux ratios, even if the fractionation factors are constant.
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For example, if roots are not growing significantly in comparison to shoots (F2/F1 ->
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1), then the observed root/soil fractionation becomes smaller even though the
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fractionation factor (ε1) remains the same. If roots are growing much faster than
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shoots, then the observed root/soil fractionation becomes larger. These flux ratios
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are likely to vary over the lifetime of the plant, and also depend on soil conditions
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and nutrient availability.
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The transport model for Ca is somewhat simpler than that for K in that there is
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virtually zero return of Ca to the roots from leaves (43).
However, there is a
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complication in that for Ca the leaves are more consistently higher in δ44Ca than
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stems compared to the pattern for δ41K. In their Ca-replete experiments Cobert et al.
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(18) also found stems to have lower δ44Ca than roots or leaves. The only way to
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accommodate these observations in the context of our model is to have the
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parameter ε3 have a positive value for Ca isotopes. This would tend to make the
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stems lighter than both the leaves and roots. The adsorption of light Ca (low δ44Ca)
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into cell walls lining xylem pathways has been suggested as the mechanism for
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isotopic fractionation between roots and shoots (45, 18, 19), and would be
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consistent with a positive ε3. This light Ca loss during transport would cause the Ca
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carried in the xylem to become progressively enriched in heavy isotopes, making the
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leaves generally higher in δ44Ca than stems. Excess Ca sequestered as Ca-oxalate
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nodules could enhance this fractionation, as Ca-oxalate derived from leaves has
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been shown to have lower δ44Ca than the free-Ca in leaves (18).
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Mechanisms of K and Ca transport in plants
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The model described above is non-specific with regard to the transport
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mechanisms and source of isotopic fractionation. A number of different mechanisms
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have been called upon to explain isotopic fractionation within plants (17-19, 28-32,
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45,46) including adsorption or ligand binding, transport processes across cellular
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membranes some of which involve transporter proteins, and diffusion within plant
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fluids involving differences in diffusivity between isotopes. This last mechanism,
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diffusion within the vascular fluids of plants, has been proposed for Zn by Moynier
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et al. 2009 (31), which has been also taken up as on mechanism for Cu isotopic
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fractionation in plants (28). Moynier et al. (31) in considering this mechanism
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calculate over a 10cm length scale the fractionation of Zn isotopes by diffusion and
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derive a value for the ratio of the diffusivities of 66Zn to 64Zn within a factor of 10 of
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a published value for Zn diffusion in water and conclude that this mechanism could
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explain, at least in part, their observation of increasing Zn isotopic fractionation
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with leaf height. However their diffusion model assumes a stagnant fluid, and does
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not take into account fluid movement within the plant. To resolve whether diffusive
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isotopic fractionation can be a significant mechanism, we calculate the Péclet (Pe)
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number (Eq. 2), a dimensionless number that compares the relative importance of
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fluid advective transport to diffusion in the fluid:
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Pe = vL/D
Eq. 2
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where v is the fluid velocity, L is the length scale and D is the diffusivity. For Pe < 1
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diffusive transport dominates, for Pe > 1 advective transport dominates. Using a
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length scale of 10cm, a fluid velocity in the xylem of between 0.25 mm/sec (night
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conditions) and 0.4 mm/sec (day conditions) from measurements in castor bean
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plants (47) and a diffusivity of K in water of 1.8x10-9 m2/sec (48) yields a Pe number
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of on the order of 104, indicating that diffusive effects within xlyem and phloem are
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completely negligible. This is likely true for other nutrient elements in plants, since
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they likely have diffusivities that are within an order of magnitude of 10-9 m2/sec.
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Plant cellular cytoplasmic resting concentrations of Ca2+ are on the order of
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100nM, a factor ~106 less than cytoplastic K+ concentrations, and can rise to ~1 µM
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in its cellular role in molecular signaling (2, 6, 36). This requirement of extremely
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low Ca2+ concentration in the cytoplasm is a result of its tendency to form insoluble
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salts with sulfates, phosphates and other compounds that would be detrimental for
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the cell. Instead, Ca2+ is stored in cell organelles such as vacuoles at ~1mM levels, or
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in the apoplast. Unlike K+, Ca2+ has key structural roles in providing binding in
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cellular membranes, as well as in cellular walls and other rigid structures of plants.
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Based on this structural role for Ca2+ and Ca experimental isotopic observations,
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Cobert et al. (18) and Schmitt et al. (19) call on a solid/fluid ion exchange process
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(akin to ion chromatography) to explain plant Ca isotopic fractionation, both during
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Ca2+ uptake by plant roots, as well as during apoplastic and xylem transport, and
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precipitation in leaves of Ca-oxalate (this latter process is emphasized by both (19)
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and by Moynier and Fujii (49) for root-leaf fractionation). In contrast to Ca2+, the
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bulk of which in plants participates in solid/liquid exchange processes, K+
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participates mostly as an ion in plants (4).
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In order to maintain the ~100 mM cellular cytoplasm K+ concentration, K+ must
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be driven up a concentration gradient from the lower K+ concentration external
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solution, either from the soil solution or from extracellular fluids (4). For K
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transport into plant cells, two broad mechanisms operate: a high affinity K transport
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system (HATS) under low K+ external concentration ([K+]1mM),
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reflective of its key and multifaceted role in plant nutrition (9). The LATS uses
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highly selective K-specific ion channels across the cellular membrane, while the
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HATS uses transporter proteins and synporter systems. For our experiments with
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[K+] = 2.5mM, the LATS is likely the dominant mode of K+ influx from the hydroponic
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solution to root cells and throughout the plant, the energetically intensive HATS
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mode being saturated and down-regulated. After uptake by root cells, K+ follows a
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variety of routes (symplastic and apoplastic) to the xylem fluid for distribution
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throughout the plant, delivery to symplastic and apoplastic pathways for trans-
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membrane uptake by cellular tissues (11).
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through the xylem is hydraulically driven by transpiration from the leaves, and root
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pressure arising from osmotic processes (50). Thus the most likely processes
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affecting K+ isotopic fractionation are the various means of transport across cellular
306
membranes.
Transport of solute-bearing fluids
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K+ specific channels for transport across cellular membranes (favored in LATS)
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can be highly selective; Na+ for example can be selected against by a factor of 10,000
309
compared to K+ (50), that is for every 10,000 K atoms entering a K+ specific channel
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only one Na ion does. It has been suggested that the 25% difference in ionic radius
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between Na+ and K+ is a key factor in this selectivity (51, 52). Figure 3 shows a plot
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of estimated selectivities relative to K+ as a function of ionic radius. With ionic radii
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differences of 9% for Rb+ and 19% for Cs+, selectivity against those ions is also fairly
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significant (51, 53), further suggesting a partial role for ionic radius in the selectivity
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of K+ channels.
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relationship to K+ isotopic fractionation. Ionic radius is affected by isotopic mass,
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with smaller radii trending with increasing nuclear mass (i.e. number of neutrons)
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for an element. For instance, 22Ne is ~0.2% smaller than 20Ne (54) (Figure 4). Using
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the difference in ionic radius between Na+ and K+ to scale the selectivity against Na+
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by K+ specific channels we extrapolated to a size difference between 41K and 39K ions
321
of 0.0035% required to produce a 1‰ selectivity against
322
would be sufficient to account for our K isotopic observations. This estimated
323
radius difference between 41K and 39K is consistent with the trend shown in Figure 4.
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The K+ specific channel may be optimized to the size of
325
isotope of K (39K is about 93.3% while 41K is about 6.7% of K).
This apparent sensitivity to ionic radius suggests a possible
41K
39K+,
relative to
39K,
that
the more common
326
Another possible effect to consider with transport across cellular membranes is
327
that ions would need to be desolvated before their passage. Hoffman et al. (55)
328
suggest through molecular dynamics simulations, that water exchange rates for
329
solvated ions has a rate dependence on the mass of the solvated ion such that the
330
lighter isotope is favored in desolvation, resulting in a predicted ~2‰ fractionation
331
in
332
feature of K+ specific channels lies in the process of desolvation/solvation of K+
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during transmembrane transport. Solvated K+ enters the channel where the K+ is
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handed off to eight protein bonded oxygen atoms replacing the role of the solvating
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H2O molecules, minimizing the energy required for desolvation, with resolvation
336
occurring with the exit of K+ from the channel (56). Therefore we suggest that
337
isotopic fractionation due to dehydration of K+ accompanying K+ channel transport
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may be minimal. Instead we hypothesize that their size selectivity as argued above
339
is the main source of fractionation of K isotopes.
41K/39K
between a precipitating solid and the solution. However, a further
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340
We propose that the HATS, operative under low external K+, would fractionate K
341
isotopes less that the LATS, which in large part depends on highly selective K+ ion
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channels. This suggestion is supported by experiments involving cells of a marine
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diatom where under low external Zn concentration (HA-high-affinity transport), the
344
observed isotopic fractionation of Zn is four times less than under high Zn external
345
concentration (LA- low affinity transport) (57). A difference between HA vs. LA
346
transport has also been called upon by Deng et al. 2014 (58) to explain differences
347
in Zn isotopic fractionation between Zn nonaccumulating and Zn hyperacumulating
348
plants. For isotopic fractionation of K in plants, a test of this would be examining K
349
isotopic fractionation as a function of external solution K+ concentration. Another
350
possible test would be experiments involving genetically modified plants that are
351
capable of only either HATS or LATS K+ transport to look for contrasts in K isotopic
352
fractionation.
353 354
Conclusions We have shown through hydroponic growth experiments that soybean, wheat
355
and rice can fractionate the isotopes of potassium relative to the nutrient source,
356
with all portions of the plant lighter than the source K. While the pattern of root to
357
leaf K isotope fractionation is similar to that of the isotopic fractionation Ca, the
358
magnitude of the fractionation on a per amu basis is about 2 times greater for K than
359
for Ca, and may be related to different mechanisms of fractionation- in the case of Ca
360
mainly association with solid/liquid exchange (18) and precipitation of oxalates in
361
leaves (as proposed by (19, 49)) versus K isotopic fractionation associated mainly
362
with trans-membrane transport.
363
The box-model proposed here may be a useful framework for using K and Ca
364
isotopes in plants to constrain the relative transport fluxes and mechanisms for
365
these elements, and how they change with nutrient availability, light levels, plant
366
maturity and other factors.
367
Since K is a significant nutrient for plants, and is often added as fertilizer in
368
agriculture (60, 61), there may be advantage in being able to isotopically distinguish
369
between resident soil K, the K added as fertilizer, the K in the plants, and how it’s
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recycled back (or lost) in fallow periods. Drought and salt stress is a significant
371
challenge in agriculture, and understanding the roles and mechanism of K and Ca in
372
the response of plants to stress is an active area of research (61). From our
373
discussion, as Ca and K appear to be fractionated by different processes in plants,
374
the comparisons between their isotopic behaviors with variation of nutrient
375
availability and salt loading may prove illuminating. In particular, conducting
376
experiments with mutant plant varieties with different trans-membrane transport
377
processes shut off may provide insights into the operation of K+ transport channels
378
and their ion selectivity.
379
Our results also bear on the global geochemical cycling of K. Seawater K is nearly
380
0.6 ‰ heavier than BSE (39, 24), and based on K isotopic analyses of porewater
381
from oceanic sediments and modeling of that data Santiago Ramos et al. 2018 (62)
382
suggest that weathering of sediments on the seafloor is a sink for
383
seawater K to a heavy δ41K value. From our experiments it would appear that plants
384
would be either lighter than the BSE, or about the BSE value depending on K source.
385
With up to 40-70% of the dissolve K load of rivers coming from plant decay (33), the
386
light K of plants should be a driver of seawater K toward lighter values, with the best
387
test being a K isotopic survey of major rivers. This emphasizes the need identified
388
by Santiago Ramos et al. (62) for an oceanic sediment sink for light K.
389 390
Acknowledgements
39K,
driving
391 392 393 394 395 396 397
This research was supported by from the US Department of Energy, Office of Science, Office of Basic Energy Sciences under Award No. DE-AC02-05CH11231 to Lawrence Berkeley National Laboratory. We wish to thank Barbara Rotz of the Oxford Greenhouse for her assistance in setting up and tending the hydroponic experiments. We also thank three anonymous reviewers whose comments helped us improve the manuscript.
398 399
References 1. Dreyer, I. (2014) Potassium (K+) in plants. J. Plant Physiol., 171:655.
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62. Santiago Ramos, D.P., Morgan, L.E., Lloyd, N.S., Higgins, J.A. (2018) Reverse weathering in marine sediments and the geochemical cycle of potassium in seawater: Insights from the K isotopic composition (41K/39K) of deep-sea pore-fluids. Geochim. Cosmochim. Acta (In Press) https://doi.org/10.1016/j.gca.2018.02.035
Wiley, Chichester. DOI: 10.1002/9780470015902.a0001288.pub2
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63. Wilks, J. (1967) The properties of liquid and solid helium. Clarendon Press, Oxford, 703pp.
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Figure 1. The K and Ca isotopic compositions of plants grown hydroponically in this study, and harvested after 2 weeks, 4 weeks, 6 weeks and 8 weeks. Uncertainties shown are ±2s. Top- soybean (roots, stems, leaves). Middle- rice (roots, leaves). Bottom- wheat (roots, leaves). The δ41K and δ44Ca of the K and Ca used in the hydroponic solution are both essentially 0.
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Figure 2. A simple box model for the transport of K and Ca in plants, were Fi are fluxes of K or Ca, and εi are isotopic fractionation factors, and ∆i are isotopic differences (e.g. between stem and root). See text for explanation and use of the model, as well as the Supplement for details of its derivation.
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Figure 3. Plot of plant K+ channels estimated uptake selectivity of Na+, Rb+, and Cs+ relative to K+ (51, 53) under potassium replete conditions vs. ionic radius and the percentage difference in ionic radius relative to K+.
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Figure 4. Average atomic mass of the element vs. the fractional difference in atomic radius for the heavier isotope. He (63), Ne (54), K as estimated in the text, and Ge (64). The faded symbol for Ge represents an estimated extrapolation to 2 amu of the fractional difference in size.
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Table 1. Weeks 2 2 2 2 4 4 4 6 6 6 8 8 8
Sample #1 Wheat Root #1 Soy Root #1 Soy Stem #1 Soy Leaf #2 Soy Root #2 Soy Stem #2 Soy Leaf #3 Soy Root #3 Soy Stem #3 Soy Leaf #4 Soy Root #4 Soy stem #4 Soy Leaf
δ41K -0.74 -0.79 -1.67 -1.21 -0.78 -1.29 -1.25 -0.4 -0.79 -1.23 -0.64 -1.48 -1.13
δ44Ca ±2s ±2s 0.24 -------- -----0.20 -0.73 0.1 0.19 -1.39 0.1 0.26 -1.01 0.1 0.19 -0.68 0.1 0.19 -1.24 0.1 0.14 -0.64 0.1 0.16 -0.2 0.1 0.28 -1.22 0.1 0.23 -0.91 0.1 0.31 -0.39 0.1 0.31 -0.95 0.1 0.21 -0.74 0.1
2 2 4 4 6 6 8 8
#1 Rice Root #1 Rice Leaf #2 Rice Root #2 Rice Leaf #3 Rice Root #3 Rice Leaf #4 Rice Root #4 Rice Leaf
-0.65 -0.73 -0.37 -0.61 -0.28 -0.74 -0.34 -0.34
0.21 ------- ------0.13 ------- ------0.17 -0.32 0.1 0.17 -0.74 0.1 0.17 -0.78 0.1 0.18 -0.8 0.1 0.22 -0.9 0.1 0.21 -0.9 0.1
2 2 4 4 6 6 8 8
#1 Wheat Root #1 Wheat Leaf #2 Wheat Root #2 Wheat Leaf #3 Wheat Root #3 Wheat Leaf #4 Wheat root #4 Wheat leaf K & Ca nitrate
-0.74 0.24 -------- ------1.57 0.19 -1.13 0.1 -0.84 0.20 -0.87 0.1 -1.15 0.19 -0.62 0.1 -0.53 0.3 -0.86 0.1 -1.19 0.21 -0.85 0.1 ------- ------0.67 0.1 -0.51 0.22 -0.92 0.1 0 0.18 -0.03 0.10
Table 2. Averages of the data from table 1. Soybean root Soybean stem Soybean leaf Rice root Rice leaf Wheat root Wheat leaf
Ave. δ41K -0.65 -1.31 -1.216 -0.4 -0.62 -0.74 -1.11
±2s 0.22 0.4 0.095 0.17 0.18 0.36 0.46
Ave. δ44Ca -0.5 -1.2 -0.83 -0.67 -0.81 -0.82 -0.88
±2s 0.26 0.19 0.18 0.4 0.11 0.24 0.22
593
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594 595
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Table 3. Comparison on a per amu basis of the fractionation of K and Ca isotopes by plants in this study. Soy root Soy stem Soy leaf Rice root Rice leaf Wheat root Wheat leaf Ave. of all
K isotopic fractionation per amu
±2s
Ca isotopic fractionation per amu
±2s
-0.33 -0.66 -0.61 -0.20 -0.31 -0.37 -0.56 -0.43
0.11 0.15 0.05 0.09 0.09 0.18 0.23 0.14
-0.13 -0.30 -0.21 -0.17 -0.20 -0.21 -0.22 -0.21
0.07 0.05 0.05 0.10 0.06 0.06 0.06 0.05
K/Ca isotopic fractionation per amu 2.6 2.2 2.9 1.2 1.5 1.8 2.5 2.05
±2s 1.6 0.6 0.7 0.9 0.6 1.0 1.2 0.5
596 597
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598 599
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leaf
stem
root
leaf
stem
root
leaf
stem
root
leaf
stem
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Soybean
δ41K ‰ ( ), δ44Ca, ‰ ( )
-0.2
root
0.0
-0.4 -0.6 -0.8 -1.0 -1.2
-1.4 -1.6
leaf
8 Weeks root
leaf
root
leaf
root
6 Weeks
Rice
δ41K ‰ ( ), δ44Ca, ‰ ( )
-0.2
4 Weeks
leaf
0.0
2 Weeks root
-1.8
-0.4 -0.6 -0.8 -1.0 -1.2
-1.4
-0.2
8 Weeks
root
root
leaf
6 Weeks leaf
4 Weeks leaf
leaf
0.0
2 Weeks root
-1.8
root
-1.6
δ41K ‰ ( ), δ44Ca, ‰ ( )
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
ACS Earth and Space Chemistry
Wheat
-0.4 -0.6 -0.8 -1.0 -1.2
-1.4 -1.6 -1.8
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2 Weeks
4 Weeks
6 Weeks
8 Weeks
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ACS Earth and Space Chemistry
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-25% 110
-20% 120
-15%
130
-10%
-5%
0%
5%
Ionic Radius, pm
140
150
160
10%
170
15%
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20% 180
Rb+
Cs+
Na+
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25% 190
K+
Selectivity Relative to K+
1 2 3 100 4 1 5 6 7 8 9 10 11 12 13 14 0.1 15 16 17 18 19 20 21 22 0.01 23 24 25 26 27 28 29 30 31 0.001 32 33 34 35 36 37 38 39 40 0.0001 41
Percentage difference in ionic radius from K+
200
Fractional difference in atomic radius for heavier isotope
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1
0
10
Atomic Mass ACS EarthAve. and Space Chemistry 20
30
40
50
60
70
80
4He-3He
0.1
0.01 22Ne-20Ne
0.001
0.0001
41K-39K (est.)
(Ge est. 2 amu)
0.00001 74Ge-Ge
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0.000001
(1 amu)