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School of Engineering and Science - Jacobs University

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solution, etc., are considered, the total amount <strong>of</strong> time necessary to measure any<br />

single solution is ~10 minutes.<br />

4.4. Internal st<strong>and</strong>ardization<br />

After an ICPMS analysis, the raw data in cps are transferred to an Excel<br />

spreadsheet for the application <strong>of</strong> three separate mathematical corrections. These<br />

corrections are applied to all analytical solutions (blanks, calibration st<strong>and</strong>ards,<br />

samples) in the following order: 1) internal st<strong>and</strong>ard corrections; 2) corrections for<br />

interfering polyatomic species; <strong>and</strong> 3) blank corrections. The internal st<strong>and</strong>ard (IS)<br />

correction using 101 Ru, 187 Re, <strong>and</strong> 209 Bi follows the method <strong>of</strong> Doherty (1989). The<br />

general application <strong>of</strong> the internal st<strong>and</strong>ard correction method is illustrated by the<br />

following equation, where Ru is used to correct the signal intensity <strong>of</strong> Sr:<br />

I<br />

⎛ ⎞<br />

⎜ I Ru,<br />

std<br />

= ∗ ⎟<br />

, sample I Sr,<br />

sample<br />

(2)<br />

⎜ ⎟<br />

⎝ I Ru,<br />

sample ⎠<br />

corr<br />

Sr<br />

where I is raw intensities in cps, I Ru,std is the measured intensity for the second 10<br />

μg/kg calibration st<strong>and</strong>ard within an ICPMS sample batch (see Fig. 3), <strong>and</strong> I corr is the<br />

corrected intensity. The term in parentheses in (2) is the IS correction factor. This<br />

approach assumes that any matrix or instrument drift effects that suppress or enhance<br />

the signal intensity for Sr proportionally affect the Ru signal intensity, <strong>and</strong> internal<br />

st<strong>and</strong>ard corrections are most effective when the element <strong>of</strong> interest <strong>and</strong> the IS are <strong>of</strong><br />

similar mass (Thompson <strong>and</strong> Houk, 1987). Therefore, 101 Ru is used as an internal<br />

st<strong>and</strong>ard for all elements with atomic masses lower than 101 (Sc, Ti, Co, Ni, Rb, Sr,<br />

Y, Zr, Nb, <strong>and</strong> Mo), <strong>and</strong> 209 Bi is used for elements with masses greater than 209 (Th<br />

<strong>and</strong> U). For analytes with masses between Ru <strong>and</strong> Re, the IS correction factor term in<br />

(2) is exp<strong>and</strong>ed to a mass-dependent linear function between 101 Ru <strong>and</strong> 187 Re:<br />

IS correction factor =<br />

⎛<br />

⎜ I<br />

⎜<br />

⎝ I<br />

Re, std<br />

Re, sample<br />

Ru, sample<br />

( M analyte − M Ru ) I Ru, std<br />

+<br />

( M Re − M Ru ) I Ru, sample<br />

Ru, std<br />

− * (3)<br />

I<br />

I<br />

⎞<br />

⎟<br />

⎟<br />

⎠<br />

where M is the atomic mass number for Ru, Re, <strong>and</strong> the analyte <strong>of</strong> interest. This<br />

treatment provides an IS correction factor that varies smoothly as a function <strong>of</strong> mass<br />

between 101 Ru <strong>and</strong> 187 Re. Internal st<strong>and</strong>ard correction factors typically range from<br />

14

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