Parameters used in correction of common lead, and shorthand notation used in equations

 

Parameter

Standard notation

Shorthand

 

 

 

Radiogenic 206Pb/238U ratio

206Pbr/238U

yr

Radiogenic 207Pb/235U ratio

207Pbr/235U

xr

Radiogenic 208Pb/232Th ratio

208Pbr/232Th

zr

Concordant isotopic ratios at t1

206Pbt1/238U, 207Pbt1/235U, 208Pbt1/232Th

yt1, xt1, zt1

Concordant ratios at t2

206Pbt2/238U etc

yt2, xt2, zt2

207Pb/206Pb of common lead

207PbC/206PbC

c7

208Pb/206Pb of common lead

208PbC/206PbC

c8

Isotope ratio in present-day uranium (137.88)

238U/235U

k

Ratio in sample

238U/232Th

u

Observed, uncorrected ratios

206Pb/238U, 207Pb/235U, 208Pb/232Th

y, x, z

 

 

 

Fraction of common 206Pb

 

fc

Fraction of lead lost at t2

 

fl

Discordance (in percent)

 

D=(1-fl)*100

 

 

 

Real age of zircon (upper intercept age)

 

t1

Age of lead loss (known or assumed)

 

t2

206Pb/207Pb of corrected composition

 

t76r

206Pb/238U of corrected composition

 

t6r

207Pb/235U of corrected composition

 

t7r

208Pb/232Th of corrected composition

 

t8r

 

 

 

Error (standard deviation) in parameter a

 

σa

 

Correlation coefficient of errors in measured 206Pb/238U, 207Pb/235U

 

ρ

 

Correlation coefficient of errors in corrected 206Pb/238U, 207Pb/235U

 

ρr

 

 

 

 

 

 

symbol