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Author Topic:   14C calculations
Member (Idle past 294 days)
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Message 1 of 2 (714563)
12-23-2013 8:07 PM

In doing research for my new version of the age thread I came across this:


Modern standard

The principal modern radiocarbon standard is N.I.S.T (National Institute of Standards and Technology; Gaithersburg, Maryland, USA) Oxalic Acid I (C2H2O4). Oxalic acid I is N.I.S.T designation SRM 4990 B and is termed HOx1. This is the International Radiocarbon Dating Standard. Ninety-five percent of the activity of Oxalic Acid from the year 1950 is equal to the measured activity of the absolute radiocarbon standard which is 1890 wood. 1890 wood was chosen as the radiocarbon standard because it was growing prior to the fossil fuel effects of the industrial revolution. The activity of 1890 wood is corrected for radioactive decay to 1950. Thus 1950, is year 0 BP by convention in radiocarbon dating and is deemed to be the 'present'. 1950 was chosen for no particular reason other than to honour the publication of the first radiocarbon dates calculated in December 1949 (Taylor, 1987:97).

Conventional radiocarbon ages (BP)

A radiocarbon measurement, termed a conventional radiocarbon age (or CRA) is obtained using a set of parameters outlined by Stuiver and Polach (1977), in the journal Radiocarbon. A time-independent level of C14 activity for the past is assumed in the measurement of a CRA. The activity of this hypothetical level of C14 activity is equal to the activity of the absolute international radiocarbon standard.

The Conventional Radiocarbon Age BP is calculated using the radiocarbon decay equation:

t=-8033 ln(Asn/Aon)

Where -8033 represents the mean lifetime of 14C (Stuiver and Polach, 1977). Aon is the activity in counts per minute of the modern standard, Asn is the equivalent cpm for the sample. 'ln' represents the natural logarithm.

A CRA embraces the following recommended conventions:

  • a half-life of 5568 years;
  • the use of Oxalic acid I or II, or appropriate secondary radiocarbon standards (e.g. ANU sucrose) as the modern radiocarbon standard;
  • correction for sample isotopic fractionation (deltaC13) to a normalized or base value of -25.0 per mille relative to the ratio of C12/C13 in the carbonate standard VPDB (more on fractionation and deltaC13);
  • the use of 1950 AD as 0 BP, ie all C14 ages head back in time from 1950;
  • the assumption that all C14 reservoirs have remained constant through time.

Thus it appears that all the "14C-age" calculations are based on the old half-life value of 5568 years instead of the revised half-life of 5730 years ... and this is so (a) they can be compared to older dates so calculated and (b) to ensure that corrections would not be applied twice.

My interest is to convert graphs of "14C-age" vs calendar age to show ln[14C‰] vs calendar age.

It seems to me that Aon is a constant representing the 14C content in 1950 (although this is complicated by the 1890 wood standard correction for radioactive decay to 1950).

There also has to be a tie to 12C or total carbon .. ie Asn and Aon are counts of 14C/gram carbon (when using ALS) or similar, and this should result in the raw data via reversing the age formula:

Asn = Aon &bul; e^(-t/8033)

Anyone know what a good number for Aon is and what the volume of carbon it represents?

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Posts: 4754
From: Vancouver, BC, Canada
Joined: 11-11-2003

Message 2 of 2 (714577)
12-23-2013 10:18 PM

Thread Copied to Dates and Dating Forum
Thread copied to the 14C calculations thread in the Dates and Dating forum, this copy of the thread has been closed.

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