Δ13C

In geochemistry, paleoclimatology, and paleoceanography ''δ''¹³C (pronounced "delta c thirteen") is an isotopic signature, a measure of the ratio of stable isotopes ¹³C : ¹²C, reported in parts per thousand (per mil, ‰). The measure is also widely used in archaeology for the reconstruction of past diets, particularly to see if marine foods or certain types of plants were consumed

The definition is, in per mil:
:$\delta \ce = \left( \frac - 1 \right) \times 1000$ ‰

where the standard is an established reference material.

''δ''¹³C varies in time as a function of productivity, the signature of the inorganic source, organic carbon burial, and vegetation type. Biological processes preferentially take up the lower mass isotope through kinetic fractionation. However some abiotic processes do the same, methane from hydrothermal vents can be depleted by up to 50%.

Reference standard

The standard established for carbon-13 work was the Pee Dee Belemnite (PDB) and was based on a Cretaceous marine fossil, ''Belemnitella americana'', which was from the Peedee Formation in South Carolina. This material had an anomalously high ¹³C:¹²C ratio (0.0112372), and was established as ''δ''¹³C value of zero. Since the original PDB specimen is no longer available, its ¹³C:¹²C ratio can be back-calculated from a widely measured carbonate standard NBS-19, which has a ''δ''¹³C value of +1.95‰. The ¹³C:¹²C ratio of NBS-19 was reported as $0.011078/0.988922=0.011202$. Therefore, one could calculate the ¹³C:¹²C ratio of PDB derived from NBS-19 as $0.011202 / (1.95/1000 +1)= 0.011202/1.00195=0.01118$. Note that this value differs from the widely used PDB ¹³C:¹²C ratio of 0.0112372 used by in isotope forensics and environmental scientists; this discrepancy was previously attributed by a wikipedia author to a sign error in the interconversion between standards, but no citation was provided. Use of the PDB standard gives most natural material a negative ''δ''¹³C.http://www.uga.edu/sisbl/stable.html#calib Overview of Stable Isotope Research – The Stable Isotope/Soil Biology Laboratory of the University of Georgia Institute of Ecology A material with a ratio of 0.010743 for example would have a ''δ''¹³C value of –44‰ from $(0.010743 \div 0.01124 - 1) \times 1000$. The standards are used for verifying the accuracy of mass spectroscopy; as isotope studies became more common, the demand for the standard exhausted the supply. Other standards calibrated to the same ratio, including one known as VPDB (for "Vienna PDB"), have replaced the original.Miller & Wheeler, ''Biological Oceanography'', p. 186.
The ¹³C:¹²C ratio for VPDB, which the International Atomic Energy Agency (IAEA) defines as ''δ''¹³C value of zero is 0.01123720.www-pub.iaea.org/MTCD/publications/PDF/te_825_prn.pdf

Causes of ''δ''¹³C variations

Methane has a very light ''δ''¹³C signature: biogenic methane of −60‰, thermogenic methane −40‰. The release of large amounts of methane clathrate can impact on global ''δ''¹³C values, as at the Paleocene–Eocene Thermal Maximum.

More commonly, the ratio is affected by variations in primary productivity and organic burial. Organisms preferentially take up light ¹²C, and have a ''δ''¹³C signature of about −25‰, depending on their metabolic pathway. Therefore, an increase in ''δ''¹³C in marine fossils is indicative of an increase in the abundance of vegetation.

An increase in primary productivity causes a corresponding rise in ''δ''¹³C values as more ¹²C is locked up in plants. This signal is also a function of the amount of carbon burial; when organic carbon is buried, more ¹²C is locked out of the system in sediments than the background ratio.

Geologic significance of ''δ''¹³C excursions

C₃ and C₄ plants have different signatures, allowing the abundance of C₄ grasses to be detected through time in the ''δ''¹³C record. Whereas plants have a ''δ''¹³C of −16 to −10‰, plants have a ''δ''¹³C of −33 to −24‰.

Mass extinctions are often marked by a negative ''δ''¹³C anomaly thought to represent a decrease in primary productivity and release of plant-based carbon.

The evolution of large land plants in the late Devonian led to increased organic carbon burial and consequently a rise in ''δ''¹³C.http://www.lpi.usra.edu/meetings/impact2000/pdf/3072.pdf

See also

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*
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* Isotopic signature
* Isotope analysis
* Isotope geochemistry
* Isotopic labeling

References

Further reading

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* Mook, W. G., & Tan, F. C. (1991). Stable carbon isotopes in rivers and estuaries. Biogeochemistry of major world rivers, 42, 245–264.

{{DEFAULTSORT:Delta18O
Bioindicators
Carbon
Isotopes of carbon
Environmental isotopes
Geochemistry
Paleoclimatology