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USER MANUAL | ICOS | INSTRUCTIONS | UM/ICOS-EN REV. B.2
128
Where the measured ratios are calculated from the measured concentrations:
(
𝑅
13
)
𝑀𝑒𝑎𝑠
=
𝐶
13
𝐶
12
=
[
𝑂
16
𝐶
13
𝑂
16
]
[
𝑂
16
𝐶
12
𝑂
16
]
(
𝑅
18
)
𝑀𝑒𝑎𝑠
=
𝑂
18
𝑂
16
=
[
𝑂
16
𝐶
12
𝑂
18
]
2[
𝑂
16
𝐶
12
𝑂
16
] + [
𝑂
16
𝐶
12
𝑂
18
]
To convert the output oxygen isotope ratios from VPDB-CO2 to VSMOW use the follow
formulas:
𝛿
18𝑂−𝑉𝑆𝑀𝑂𝑊
=
(
𝑅
18
)
𝑉𝑃𝐷𝐵−𝐶𝑂2
(
𝑅
18
)
𝑉𝑆𝑀𝑂𝑊
𝛿
18𝑂−𝑉𝑃𝐷𝐵
1000
+ 1
−
1
∙
1000
To use a calibration or reference gas where the oxygen isotope ratios are known relative to
VSMOW, convert them to VPDB-CO2 using the following formulas:
𝛿
18𝑂−𝑉𝑃𝐷𝐵
=
(
𝑅
18
)
𝑉𝑆𝑀𝑂𝑊
(
𝑅
18
)
𝑉𝑃𝐷𝐵−𝐶𝑂2
𝛿
18𝑂−𝑉𝑆𝑀𝑂𝑊
1000
+ 1
−
1
∙
1000
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