[Header]
Format=SMU
ver=3
appl=GUMWB32
MR=0
SUR=0
SUP=0
UIP=1
UCR=0
status=2
FUEB=0

[Title]
Title='Determination of the amount fo lead in water using double isotope dilution and inductively coupled plasma mass spectrometry'
Ref=''
Date='08/29/2007'
Version=''
Author=''
Description=17
Description[0]='This is the example A7 of the EURACHEM /'
Description[1]='CITAC Guide "Quantifying Uncertainty in Analytical Measurement", Second'
Description[2]='Edition.'
Description[3]=''
Description[4]='The amount content of lead in water is measured using Isotope Dilution Mass'
Description[5]='Spectrometry (IDMS) and Inductively Coupled Plasma Mass Spectrometry (ICP-MS)'
Description[6]=''
Description[7]='In this case a'
Description[8]='''double'' isotope dilution is applied. It uses a'
Description[9]='well characterised (ideally certified) material of natural isotopic composition'
Description[10]='as a'
Description[11]='primary assay standard. Two blends are then prepared: blend b, which is a'
Description[12]='blend between known masses of the sample and the enriched spike, and blend b'','
Description[13]='which is the blend between the enriched spike and the primary assay standard.'
Description[14]='The isotope ratios of the primary assay standard, the spike, the sample and the'
Description[15]='two blends are measured using ICP-MS. Together with the weighing data of the'
Description[16]='blends, the amount content of lead in the sample can be calculated.'
PictureCount=1
DCount=1

[Model]
Model=41
Model[0]='{equation for the double isotope dilution}'
Model[1]=''
Model[2]='c_x = (c_z * m_y1 / m_x  *m_z /  m_y2 * (K_y1 * R_y1 - K_b1 * R_b1) / (K_b1 * R_b1 - K_x1 * R_x1) * (K_b2 * R_b2 - K_z1 * R_z1) / (K_y1 * R_y1 - K_b2 * R_b2) / (\Sigma\K_zi_R_zi) * (\Sigma\K_xi_R_xi))  - c_blank;'
Model[3]=''
Model[4]='\Sigma\K_xi_R_xi = K_x1 * R_x1 + K_x2 * R_x2 + K_x3 * R_x3 + K_x4 * R_x4;'
Model[5]=''
Model[6]='\Sigma\K_zi_R_zi = K_z1 * R_z1 + K_z2 * R_z2 + K_z3 * R_z3 + K_z4 * R_z4;'
Model[7]=''
Model[8]='{calculation of the molar mass of the lead of the primary assay standard 1}'
Model[9]=''
Model[10]='M_Pb\sp\Assay1 = (K_z1 * R_z1 * M_z1 + K_z2 * R_z2 * M_z2 + K_z3 * R_z3 * M_z3 + K_z4 * R_z4 * M_z4) / (\Sigma\K_zi_R_zi);'
Model[11]=''
Model[12]='{concentration of the primary assay standard z which is used for the double IDMS}'
Model[13]=''
Model[14]='c_z =m_2 / d_2 * m_1 * w / d_1 / M_Pb\sp\Assay1 * k_mol;'
Model[15]=''
Model[16]='{calculation of the K-factors for the various isotope ratios measured}'
Model[17]=''
Model[18]='K_b1 = K_0\us\b1 + K_bias\us\b1;'
Model[19]=''
Model[20]='K_b2 = K_0\us\b2 + K_bias\us\b2;'
Model[21]=''
Model[22]='K_x1 = K_0\us\x1 + K_bias\us\x1;'
Model[23]=''
Model[24]='K_x2 = K_0\us\x2 + K_bias\us\x2;'
Model[25]=''
Model[26]='K_x3 = K_0\us\x3 + K_bias\us\x3;'
Model[27]=''
Model[28]='K_x4 = K_0\us\x4 + K_bias\us\x4;'
Model[29]=''
Model[30]='K_y1 = K_0\us\y1 + K_bias\us\y1;'
Model[31]=''
Model[32]='K_z1 = K_0\us\z1 + K_bias\us\z1;'
Model[33]=''
Model[34]='K_z2 = K_0\us\z2 + K_bias\us\z2;'
Model[35]=''
Model[36]='K_z3 = K_0\us\z3 + K_bias\us\z3;'
Model[37]=''
Model[38]='K_z4 = K_0\us\z4 + K_bias\us\z4;'
Model[39]=''
Model[40]=''
CE=1
CTC=1

[Components]
CompOrder=3
Comp=64
Comp[0]=c_x_
Comp[1]=c_z_
Comp[2]=m_y1_
Comp[3]=m_x_
Comp[4]=m_z_
Comp[5]=m_y2_
Comp[6]=K_y1_
Comp[7]=R_y1_
Comp[8]=K_b1_
Comp[9]=R_b1_
Comp[10]=K_x1_
Comp[11]=R_x1_
Comp[12]=K_b2_
Comp[13]=R_b2_
Comp[14]=K_z1_
Comp[15]=R_z1_
Comp[16]=\Sigma\K_zi_R_zi_
Comp[17]=\Sigma\K_xi_R_xi_
Comp[18]=c_blank_
Comp[19]=K_x2_
Comp[20]=R_x2_
Comp[21]=K_x3_
Comp[22]=R_x3_
Comp[23]=K_x4_
Comp[24]=R_x4_
Comp[25]=K_z2_
Comp[26]=R_z2_
Comp[27]=K_z3_
Comp[28]=R_z3_
Comp[29]=K_z4_
Comp[30]=R_z4_
Comp[31]=M_Pb\sp\Assay1_
Comp[32]=M_z1_
Comp[33]=M_z2_
Comp[34]=M_z3_
Comp[35]=M_z4_
Comp[36]=m_2_
Comp[37]=d_2_
Comp[38]=m_1_
Comp[39]=w
Comp[40]=d_1_
Comp[41]=k_mol_
Comp[42]=K_0\us\b1_
Comp[43]=K_bias\us\b1_
Comp[44]=K_0\us\b2_
Comp[45]=K_bias\us\b2_
Comp[46]=K_0\us\x1_
Comp[47]=K_bias\us\x1_
Comp[48]=K_0\us\x2_
Comp[49]=K_bias\us\x2_
Comp[50]=K_0\us\x3_
Comp[51]=K_bias\us\x3_
Comp[52]=K_0\us\x4_
Comp[53]=K_bias\us\x4_
Comp[54]=K_0\us\y1_
Comp[55]=K_bias\us\y1_
Comp[56]=K_0\us\z1_
Comp[57]=K_bias\us\z1_
Comp[58]=K_0\us\z2_
Comp[59]=K_bias\us\z2_
Comp[60]=K_0\us\z3_
Comp[61]=K_bias\us\z3_
Comp[62]=K_0\us\z4_
Comp[63]=K_bias\us\z4_

[COMP 0]
Type=Result
Definition='amount content of the sample x'
Unit='µmol/g'
Description=0
Fcov=1
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=0.0537374307316989
Ustd=0.000179923552577686
Neff=117
HB=1
HC=0
HR=1
IO=0
PictureCount=1
DCount=1

[COMP 1]
Type=Temp
Definition='amount content of the primary assay standard z'
Unit='µmol/g'
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=0.0926048385833828
Ustd=2.77700256554276E-5
Neff=166
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 2]
Type=TypBNormal
Definition='mass of enriched spike in blend b'
Unit='g'
Description=6
Description[0]='Weighings are performed by a'
Description[1]='dedicated mass metrology lab. The procedure applied was a'
Description[2]='bracketing technique using calibrated weights and a'
Description[3]='comparator. The bracketing technique was repeated at least six times for every'
Description[4]='sample mass determination. Buoyancy correction was applied. The uncertainties'
Description[5]='from the weighing certificates were treated as standard uncertainties, Type B.'
Vnom=1,1360
Uexp=0,0002
Fcov=1
PictureCount=1
DCount=1

[COMP 3]
Type=TypBNormal
Definition='mass of sample in blend b'
Unit='g'
Description=6
Description[0]='Weighings are performed by a'
Description[1]='dedicated mass metrology lab. The procedure applied was a'
Description[2]='bracketing technique using calibrated weights and a'
Description[3]='comparator. The bracketing technique was repeated at least six times for every'
Description[4]='sample mass determination. Buoyancy correction was applied. The uncertainties'
Description[5]='from the weighing certificates were treated as standard uncertainties, Type B.'
Vnom=1,0440
Uexp=0,0002
Fcov=1
PictureCount=1
DCount=1

[COMP 4]
Type=TypBNormal
Definition='mass of primary assay standard in blend b'''
Unit='g'
Description=6
Description[0]='Weighings are performed by a'
Description[1]='dedicated mass metrology lab. The procedure applied was a'
Description[2]='bracketing technique using calibrated weights and a'
Description[3]='comparator. The bracketing technique was repeated at least six times for every'
Description[4]='sample mass determination. Buoyancy correction was applied. The uncertainties'
Description[5]='from the weighing certificates were treated as standard uncertainties, Type B.'
Vnom=1,1029
Uexp=0,0002
Fcov=1
PictureCount=1
DCount=1

[COMP 5]
Type=TypBNormal
Definition='mass of enriched spike in blend b'''
Unit='g'
Description=6
Description[0]='Weighings are performed by a'
Description[1]='dedicated mass metrology lab. The procedure applied was a'
Description[2]='bracketing technique using calibrated weights and a'
Description[3]='comparator. The bracketing technique was repeated at least six times for every'
Description[4]='sample mass determination. Buoyancy correction was applied. The uncertainties'
Description[5]='from the weighing certificates were treated as standard uncertainties, Type B.'
Vnom=1,0654
Uexp=0,0002
Fcov=1
PictureCount=1
DCount=1

[COMP 6]
Type=Temp
Definition='mass bias correction of R_y1'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=0.9999
Ustd=0.00133463478150391
Neff=29
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 7]
Type=TypASum
Definition='measured ratio of enriched isotope to reference isotope in the enriched spike, n(^208^Pb)/n(^206^Pb)'
Unit=''
Description=2
Description[0]='Each ratio has been measured 8'
Description[1]='times. The experimental uncertainty is therefore divided by sqrt(8).'
Vnom=0,00064
Ustd==0.00004/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 8]
Type=Temp
Definition='mass bias correction of R_b1'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=0.9987
Ustd=0.00133463478150391
Neff=29
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 9]
Type=TypASum
Definition='measured ratio of blend b, n(^208^Pb)/n(^206^Pb)'
Unit=''
Description=2
Description[0]='Each ratio has been measured 8'
Description[1]='times. The experimental uncertainty is therefore divided by sqrt(8).'
Vnom=0,29360
Ustd==0.00073/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 10]
Type=Temp
Definition='mass bias correction of R_x1'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=0.9992
Ustd=0.00133463478150391
Neff=29
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 11]
Type=TypASum
Definition='measured ratio of enriched isotope to reference isotope in the sample x, n(^208^Pb)/n(^206^Pb)'
Unit=''
Description=2
Description[0]='Each ratio has been measured 8'
Description[1]='times. The experimental uncertainty is therefore divided by sqrt(8).'
Vnom=2,1402
Ustd==0.0054/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 12]
Type=Temp
Definition='mass bias correction of R_b2'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=0.9983
Ustd=0.00133463478150391
Neff=29
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 13]
Type=TypASum
Definition='measured ratio of blend b'', n(^208^Pb)/n(^206^Pb)'
Unit=''
Description=2
Description[0]='Each ratio has been measured 8'
Description[1]='times. The experimental uncertainty is therefore divided by sqrt(8).'
Vnom=0,5050
Ustd==0.0013/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 14]
Type=Temp
Definition='mass bias correction of R_z1'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=0.9989
Ustd=0.00133463478150391
Neff=29
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 15]
Type=TypASum
Definition='measured ratio of enriched isotope to reference isotope in the primary assay standard z, n(^208^Pb)/n(^206^Pb)'
Unit=''
Description=2
Description[0]='Each ratio has been measured 8'
Description[1]='times. The experimental uncertainty is therefore divided by sqrt(8).'
Vnom=2,1429
Ustd==0.0054/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 16]
Type=Temp
Definition='sum of all mass bias corrected ratios of the primary assay standard'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=4.11331426
Ustd=0.00390471979358154
Neff=50
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 17]
Type=Temp
Definition='sum of all mass bias corrected ratios of the sample'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=4.11212253
Ustd=0.00390245418178901
Neff=50
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 18]
Type=TypASum
Definition='observed amount content in procedure blank'
Unit='µmol/g'
Description=3
Description[0]='The procedure blank was measured using external calibration. The procedure'
Description[1]='blank was measured four times. The experimental standard deviation is divided'
Description[2]='by sqrt(4) to obtain the standard uncertainty.'
Vnom=4,5e-7
Ustd==4.0e-7/sqrt(4)
Neff=3
PictureCount=1
DCount=1

[COMP 19]
Type=Temp
Definition='mass bias correction of R_x2'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=1
Ustd=0
Neff=10000
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 20]
Type=Const
Definition='measured ratio of sample, n(^206^Pb)/n(^206^Pb)'
Unit=''
Description=1
Description[0]='This is the ratio of n(^206^Pb)/n(^206^Pb), which is by definition equal to 1.'
Vnom=1
PictureCount=1
DCount=1

[COMP 21]
Type=Temp
Definition='mass bias correction of R_x3'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=1.0004
Ustd=0.00159099025766973
Neff=18
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 22]
Type=TypASum
Definition='measured ratio of sample, n(^207^Pb)/n(^206^Pb)'
Unit=''
Description=2
Description[0]='Each ratio has been measured 8'
Description[1]='times. The experimental uncertainty is therefore divided by sqrt(8).'
Vnom=0,9142
Ustd==0.0032/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 23]
Type=Temp
Definition='mass bias correction of R_x4'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=1.001
Ustd=0.00234520787991171
Neff=10
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 24]
Type=TypASum
Definition='measured ratio of sample, n(^204^Pb)/n(^206^Pb)'
Unit=''
Description=2
Description[0]='Each ratio has been measured 8'
Description[1]='times. The experimental uncertainty is therefore divided by sqrt(8).'
Vnom=0,05901
Ustd==0.00035/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 25]
Type=Temp
Definition='mass bias correction of R_z2'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=1
Ustd=0
Neff=10000
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 26]
Type=Const
Definition='measured ratio of sample, n(^206^Pb)/n(^206^Pb)'
Unit=''
Description=1
Description[0]='This is the ratio of n(^206^Pb)/n(^206^Pb), which is by definition equal to 1.'
Vnom=1
PictureCount=1
DCount=1

[COMP 27]
Type=Temp
Definition='mass bias correction of R_z3'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=0.9993
Ustd=0.00159099025766973
Neff=18
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 28]
Type=TypASum
Definition='measured ratio of sample, n(^207^Pb)/n(^206^Pb)'
Unit=''
Description=2
Description[0]='Each ratio has been measured 8'
Description[1]='times. The experimental uncertainty is therefore divided by sqrt(8).'
Vnom=0,9147
Ustd==0.0032/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 29]
Type=Temp
Definition='mass bias correction of R_z4'
Unit=''
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=1.0002
Ustd=0.00234520787991171
Neff=10
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 30]
Type=TypASum
Definition='measured ratio of sample, n(^204^Pb)/n(^206^Pb)'
Unit=''
Description=2
Description[0]='Each ratio has been measured 8'
Description[1]='times. The experimental uncertainty is therefore divided by sqrt(8).'
Vnom=0,05870
Ustd==0.00035/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 31]
Type=Temp
Definition='molar mass of the primary assay standard'
Unit='g/mol'
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=0
UncID=0
Vnom=207.210344797368
Ustd=0.000665108286755588
Neff=38
HB=0
HC=0
HR=0
IO=0
PictureCount=1
DCount=1

[COMP 32]
Type=TypBNormal
Definition='nuclidic mass  of ^208^Pb'
Unit='g/mol'
Description=2
Description[0]='The nuclidic masses and their respective uncertainties are taken from'
Description[1]='literature. G. Audi and A. H. Wapstra, Nuclear Physics, A565 (1993).'
Vnom=207,976636
Uexp=0,000003
Fcov=1
PictureCount=1
DCount=1

[COMP 33]
Type=TypBNormal
Definition='nuclidic mass  of ^206^Pb'
Unit='g/mol'
Description=2
Description[0]='The nuclidic masses and their respective uncertainties are taken from'
Description[1]='literature. G. Audi and A. H. Wapstra, Nuclear Physics, A565 (1993).'
Vnom=205,974449
Uexp=0,000003
Fcov=1
PictureCount=1
DCount=1

[COMP 34]
Type=TypBNormal
Definition='nuclidic mass  of ^207^Pb'
Unit='g/mol'
Description=2
Description[0]='The nuclidic masses and their respective uncertainties are taken from'
Description[1]='literature. G. Audi and A. H. Wapstra, Nuclear Physics, A565 (1993).'
Vnom=206,975880
Uexp=0,000003
Fcov=1
PictureCount=1
DCount=1

[COMP 35]
Type=TypBNormal
Definition='nuclidic mass  of ^204^Pb'
Unit='g/mol'
Description=2
Description[0]='The nuclidic masses and their respective uncertainties are taken from'
Description[1]='literature. G. Audi and A. H. Wapstra, Nuclear Physics, A565 (1993).'
Vnom=203,973028
Uexp=0,000003
Fcov=1
PictureCount=1
DCount=1

[COMP 36]
Type=TypBNormal
Definition='aliquot of the first dilution of the primary assay standard'
Unit='g'
Description=6
Description[0]='Weighings are performed by a'
Description[1]='dedicated mass metrology lab. The procedure applied was a'
Description[2]='bracketing technique using calibrated weights and a'
Description[3]='comparator. The bracketing technique was repeated at least six times for every'
Description[4]='sample mass determination. Buoyancy correction was applied. The uncertainties'
Description[5]='from the weighing certificates were treated as standard uncertainties, Type B.'
Vnom=1,0292
Uexp=0,0002
Fcov=1
PictureCount=1
DCount=1

[COMP 37]
Type=TypBNormal
Definition='total mass of the second dilution of the primary assay standard'
Unit='g'
Description=6
Description[0]='Weighings are performed by a'
Description[1]='dedicated mass metrology lab. The procedure applied was a'
Description[2]='bracketing technique using calibrated weights and a'
Description[3]='comparator. The bracketing technique was repeated at least six times for every'
Description[4]='sample mass determination. Buoyancy correction was applied. The uncertainties'
Description[5]='from the weighing certificates were treated as standard uncertainties, Type B.'
Vnom=99,931
Uexp=0,01
Fcov=1
PictureCount=1
DCount=1

[COMP 38]
Type=TypBNormal
Definition='mass of the lead piece for primary assay standard'
Unit='g'
Description=6
Description[0]='Weighings are performed by a'
Description[1]='dedicated mass metrology lab. The procedure applied was a'
Description[2]='bracketing technique using calibrated weights and a'
Description[3]='comparator. The bracketing technique was repeated at least six times for every'
Description[4]='sample mass determination. Buoyancy correction was applied. The uncertainties'
Description[5]='from the weighing certificates were treated as standard uncertainties, Type B.'
Vnom=0,36544
Uexp=0,00005
Fcov=1
PictureCount=1
DCount=1

[COMP 39]
Type=TypBNormal
Definition='purity of the metallic lead piece, expressed as mass fraction'
Unit='g/g'
Description=2
Description[0]='The purity of the metalic lead can be obtained through analysis or a'
Description[1]='supplier''s certificate.'
Vnom=0,99999
Uexp=0,000005
Fcov=1
PictureCount=1
DCount=1

[COMP 40]
Type=TypBNormal
Definition='total mass of first dilution of the primary assay standard'
Unit='g'
Description=6
Description[0]='Weighings are performed by a'
Description[1]='dedicated mass metrology lab. The procedure applied was a'
Description[2]='bracketing technique using calibrated weights and a'
Description[3]='comparator. The bracketing technique was repeated at least six times for every'
Description[4]='sample mass determination. Buoyancy correction was applied. The uncertainties'
Description[5]='from the weighing certificates were treated as standard uncertainties, Type B.'
Vnom=196,14
Uexp=0,03
Fcov=1
PictureCount=1
DCount=1

[COMP 41]
Type=Const
Definition='conversion factor 10^6 µmol = 1 mol'
Unit='µmol/mol'
Description=0
Vnom=1E6
PictureCount=0
DCount=0

[COMP 42]
Type=TypASum
Definition='mass bias correction of R_b1 as determined at time 0'
Unit=''
Description=14
Description[0]='The K_0_''s are measured using a'
Description[1]='certfied isotopic reference material, and they are calculated according to the'
Description[2]='following equation:'
Description[3]=''
Description[4]='K_0 ='
Description[5]='R_certified/R_observed'
Description[6]=''
Description[7]='When looking at the uncertainty contributions of R_certified and R_observed, it'
Description[8]='is clear that the contribution of R_certified can be neglected for this'
Description[9]='example. Henceforth, the uncertainties on the measured ratios, R_observed_, are'
Description[10]='used for the uncertainties on K_0.'
Description[11]=''
Description[12]='The original measurement data for the determination of K_0 is not shown in this'
Description[13]='example.'
Vnom=0,9987
Ustd==0.0025/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 43]
Type=TypBNormal
Definition='other contributions to the mass bias of R_b1'
Unit=''
Description=10
Description[0]='This bias factor is introduced to account for possible deviations in the value'
Description[1]='of the mass discrimination factor (these could be variations over time, as well'
Description[2]='as other sources of bias, such as multiplier dead time correction, matrix'
Description[3]='effects etc.). The values of these biases are not known in this case, but they'
Description[4]='are assumed to be around 0, therefore a'
Description[5]='value of 0'
Description[6]='is applied. An uncertainty is associated to this bias, which is estimated from'
Description[7]='experience. In this case a'
Description[8]='standard uncertainty of 0.001 is considered to be sufficient to cover all'
Description[9]='effects.'
Vnom=0
Uexp=0,001
Fcov=1
PictureCount=1
DCount=1

[COMP 44]
Type=TypASum
Definition='mass bias correction of R_b2 as determined at time 0'
Unit=''
Description=14
Description[0]='The K_0_''s are measured using a'
Description[1]='certfied isotopic reference material, and they are calculated according to the'
Description[2]='following equation:'
Description[3]=''
Description[4]='K_0 ='
Description[5]='R_certified/R_observed'
Description[6]=''
Description[7]='When looking at the uncertainty contributions of R_certified and R_observed, it'
Description[8]='is clear that the contribution of R_certified can be neglected for this'
Description[9]='example. Henceforth, the uncertainties on the measured ratios, R_observed_, are'
Description[10]='used for the uncertainties on K_0.'
Description[11]=''
Description[12]='The original measurement data for the determination of K_0 is not shown in this'
Description[13]='example.'
Vnom=0,9983
Ustd==0.0025/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 45]
Type=TypBNormal
Definition='other contributions to the mass bias of R_b2'
Unit=''
Description=10
Description[0]='This bias factor is introduced to account for possible deviations in the value'
Description[1]='of the mass discrimination factor (these could be variations over time, as well'
Description[2]='as other sources of bias, such as multiplier dead time correction, matrix'
Description[3]='effects etc.). The values of these biases are not known in this case, but they'
Description[4]='are assumed to be around 0, therefore a'
Description[5]='value of 0'
Description[6]='is applied. An uncertainty is associated to this bias, which is estimated from'
Description[7]='experience. In this case a'
Description[8]='standard uncertainty of 0.001 is considered to be sufficient to cover all'
Description[9]='effects.'
Vnom=0
Uexp=0,001
Fcov=1
PictureCount=1
DCount=1

[COMP 46]
Type=TypASum
Definition='mass bias correction of R_x1 as determined at time 0'
Unit=''
Description=14
Description[0]='The K_0_''s are measured using a'
Description[1]='certfied isotopic reference material, and they are calculated according to the'
Description[2]='following equation:'
Description[3]=''
Description[4]='K_0 ='
Description[5]='R_certified/R_observed'
Description[6]=''
Description[7]='When looking at the uncertainty contributions of R_certified and R_observed, it'
Description[8]='is clear that the contribution of R_certified can be neglected for this'
Description[9]='example. Henceforth, the uncertainties on the measured ratios, R_observed_, are'
Description[10]='used for the uncertainties on K_0.'
Description[11]=''
Description[12]='The original measurement data for the determination of K_0 is not shown in this'
Description[13]='example.'
Vnom=0,9992
Ustd==0.0025/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 47]
Type=TypBNormal
Definition='other contributions to the mass bias of R_x1'
Unit=''
Description=10
Description[0]='This bias factor is introduced to account for possible deviations in the value'
Description[1]='of the mass discrimination factor (these could be variations over time, as well'
Description[2]='as other sources of bias, such as multiplier dead time correction, matrix'
Description[3]='effects etc.). The values of these biases are not known in this case, but they'
Description[4]='are assumed to be around 0, therefore a'
Description[5]='value of 0'
Description[6]='is applied. An uncertainty is associated to this bias, which is estimated from'
Description[7]='experience. In this case a'
Description[8]='standard uncertainty of 0.001 is considered to be sufficient to cover all'
Description[9]='effects.'
Vnom=0
Uexp=0,001
Fcov=1
PictureCount=1
DCount=1

[COMP 48]
Type=Const
Definition='mass bias correction of R_x2 as determined at time 0'
Unit=''
Description=4
Description[0]='This mass bias correction refers to the ratio of n(^206^Pb)/n(^206^Pb), which'
Description[1]='is by definition equal to 1'
Description[2]='and not measured. Therefore no mass bias correction is needed, the factor is'
Description[3]='equal to 1.'
Vnom=1
PictureCount=1
DCount=1

[COMP 49]
Type=Const
Definition='other contributions to the mass bias of R_x2'
Unit=''
Description=4
Description[0]='This mass bias correction refers to the ratio of n(^206^Pb)/n(^206^Pb), which'
Description[1]='is by definition equal to 1'
Description[2]='and not measured. Therefore no mass bias correction is needed, this factor is'
Description[3]='equal to 0.'
Vnom=0
PictureCount=1
DCount=1

[COMP 50]
Type=TypASum
Definition='mass bias correction of R_x3 as determined at time 0'
Unit=''
Description=14
Description[0]='The K_0_''s are measured using a'
Description[1]='certfied isotopic reference material, and they are calculated according to the'
Description[2]='following equation:'
Description[3]=''
Description[4]='K_0 ='
Description[5]='R_certified/R_observed'
Description[6]=''
Description[7]='When looking at the uncertainty contributions of R_certified and R_observed, it'
Description[8]='is clear that the contribution of R_certified can be neglected for this'
Description[9]='example. Henceforth, the uncertainties on the measured ratios, R_observed_, are'
Description[10]='used for the uncertainties on K_0.'
Description[11]=''
Description[12]='The original measurement data for the determination of K_0 is not shown in this'
Description[13]='example.'
Vnom=1,0004
Ustd==0.0035/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 51]
Type=TypBNormal
Definition='other contributions to the mass bias of R_x3'
Unit=''
Description=10
Description[0]='This bias factor is introduced to account for possible deviations in the value'
Description[1]='of the mass discrimination factor (these could be variations over time, as well'
Description[2]='as other sources of bias, such as multiplier dead time correction, matrix'
Description[3]='effects etc.). The values of these biases are not known in this case, but they'
Description[4]='are assumed to be around 0, therefore a'
Description[5]='value of 0'
Description[6]='is applied. An uncertainty is associated to this bias, which is estimated from'
Description[7]='experience. In this case a'
Description[8]='standard uncertainty of 0.001 is considered to be sufficient to cover all'
Description[9]='effects.'
Vnom=0
Uexp=0,001
Fcov=1
PictureCount=1
DCount=1

[COMP 52]
Type=TypASum
Definition='mass bias correction of R_x4 as determined at time 0'
Unit=''
Description=14
Description[0]='The K_0_''s are measured using a'
Description[1]='certfied isotopic reference material, and they are calculated according to the'
Description[2]='following equation:'
Description[3]=''
Description[4]='K_0 ='
Description[5]='R_certified/R_observed'
Description[6]=''
Description[7]='When looking at the uncertainty contributions of R_certified and R_observed, it'
Description[8]='is clear that the contribution of R_certified can be neglected for this'
Description[9]='example. Henceforth, the uncertainties on the measured ratios, R_observed_, are'
Description[10]='used for the uncertainties on K_0.'
Description[11]=''
Description[12]='The original measurement data for the determination of K_0 is not shown in this'
Description[13]='example.'
Vnom=1,001
Ustd==0.006/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 53]
Type=TypBNormal
Definition='other contributions to the mass bias of R_x4'
Unit=''
Description=10
Description[0]='This bias factor is introduced to account for possible deviations in the value'
Description[1]='of the mass discrimination factor (these could be variations over time, as well'
Description[2]='as other sources of bias, such as multiplier dead time correction, matrix'
Description[3]='effects etc.). The values of these biases are not known in this case, but they'
Description[4]='are assumed to be around 0, therefore a'
Description[5]='value of 0'
Description[6]='is applied. An uncertainty is associated to this bias, which is estimated from'
Description[7]='experience. In this case a'
Description[8]='standard uncertainty of 0.001 is considered to be sufficient to cover all'
Description[9]='effects.'
Vnom=0
Uexp=0,001
Fcov=1
PictureCount=1
DCount=1

[COMP 54]
Type=TypASum
Definition='mass bias correction of R_y1 as determined at time 0'
Unit=''
Description=14
Description[0]='The K_0_''s are measured using a'
Description[1]='certfied isotopic reference material, and they are calculated according to the'
Description[2]='following equation:'
Description[3]=''
Description[4]='K_0 ='
Description[5]='R_certified/R_observed'
Description[6]=''
Description[7]='When looking at the uncertainty contributions of R_certified and R_observed, it'
Description[8]='is clear that the contribution of R_certified can be neglected for this'
Description[9]='example. Henceforth, the uncertainties on the measured ratios, R_observed_, are'
Description[10]='used for the uncertainties on K_0.'
Description[11]=''
Description[12]='The original measurement data for the determination of K_0 is not shown in this'
Description[13]='example.'
Vnom=0,9999
Ustd==0.0025/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 55]
Type=TypBNormal
Definition='other contributions to the mass bias of R_y1'
Unit=''
Description=10
Description[0]='This bias factor is introduced to account for possible deviations in the value'
Description[1]='of the mass discrimination factor (these could be variations over time, as well'
Description[2]='as other sources of bias, such as multiplier dead time correction, matrix'
Description[3]='effects etc.). The values of these biases are not known in this case, but they'
Description[4]='are assumed to be around 0, therefore a'
Description[5]='value of 0'
Description[6]='is applied. An uncertainty is associated to this bias, which is estimated from'
Description[7]='experience. In this case a'
Description[8]='standard uncertainty of 0.001 is considered to be sufficient to cover all'
Description[9]='effects.'
Vnom=0
Uexp=0,001
Fcov=1
PictureCount=1
DCount=1

[COMP 56]
Type=TypASum
Definition='mass bias correction of R_z1 as determined at time 0'
Unit=''
Description=14
Description[0]='The K_0_''s are measured using a'
Description[1]='certfied isotopic reference material, and they are calculated according to the'
Description[2]='following equation:'
Description[3]=''
Description[4]='K_0 ='
Description[5]='R_certified/R_observed'
Description[6]=''
Description[7]='When looking at the uncertainty contributions of R_certified and R_observed, it'
Description[8]='is clear that the contribution of R_certified can be neglected for this'
Description[9]='example. Henceforth, the uncertainties on the measured ratios, R_observed_, are'
Description[10]='used for the uncertainties on K_0.'
Description[11]=''
Description[12]='The original measurement data for the determination of K_0 is not shown in this'
Description[13]='example.'
Vnom=0,9989
Ustd==0.0025/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 57]
Type=TypBNormal
Definition='other contributions to the mass bias of R_z1'
Unit=''
Description=10
Description[0]='This bias factor is introduced to account for possible deviations in the value'
Description[1]='of the mass discrimination factor (these could be variations over time, as well'
Description[2]='as other sources of bias, such as multiplier dead time correction, matrix'
Description[3]='effects etc.). The values of these biases are not known in this case, but they'
Description[4]='are assumed to be around 0, therefore a'
Description[5]='value of 0'
Description[6]='is applied. An uncertainty is associated to this bias, which is estimated from'
Description[7]='experience. In this case a'
Description[8]='standard uncertainty of 0.001 is considered to be sufficient to cover all'
Description[9]='effects.'
Vnom=0
Uexp=0,001
Fcov=1
PictureCount=1
DCount=1

[COMP 58]
Type=Const
Definition='mass bias correction of R_z2 as determined at time 0'
Unit=''
Description=4
Description[0]='This mass bias correction refers to the ratio of n(^206^Pb)/n(^206^Pb), which'
Description[1]='is by definition equal to 1'
Description[2]='and not measured. Therefore no mass bias correction is needed, the factor is'
Description[3]='equal to 1.'
Vnom=1
PictureCount=1
DCount=1

[COMP 59]
Type=Const
Definition='other contributions to the mass bias of R_z2'
Unit=''
Description=4
Description[0]='This mass bias correction refers to the ratio of n(^206^Pb)/n(^206^Pb), which'
Description[1]='is by definition equal to 1'
Description[2]='and not measured. Therefore no mass bias correction is needed, this factor is'
Description[3]='equal to 0.'
Vnom=0
PictureCount=1
DCount=1

[COMP 60]
Type=TypASum
Definition='mass bias correction of R_z3 as determined at time 0'
Unit=''
Description=14
Description[0]='The K_0_''s are measured using a'
Description[1]='certfied isotopic reference material, and they are calculated according to the'
Description[2]='following equation:'
Description[3]=''
Description[4]='K_0 ='
Description[5]='R_certified/R_observed'
Description[6]=''
Description[7]='When looking at the uncertainty contributions of R_certified and R_observed, it'
Description[8]='is clear that the contribution of R_certified can be neglected for this'
Description[9]='example. Henceforth, the uncertainties on the measured ratios, R_observed_, are'
Description[10]='used for the uncertainties on K_0.'
Description[11]=''
Description[12]='The original measurement data for the determination of K_0 is not shown in this'
Description[13]='example.'
Vnom=0,9993
Ustd==0.0035/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 61]
Type=TypBNormal
Definition='other contributions to the mass bias of R_z3'
Unit=''
Description=10
Description[0]='This bias factor is introduced to account for possible deviations in the value'
Description[1]='of the mass discrimination factor (these could be variations over time, as well'
Description[2]='as other sources of bias, such as multiplier dead time correction, matrix'
Description[3]='effects etc.). The values of these biases are not known in this case, but they'
Description[4]='are assumed to be around 0, therefore a'
Description[5]='value of 0'
Description[6]='is applied. An uncertainty is associated to this bias, which is estimated from'
Description[7]='experience. In this case a'
Description[8]='standard uncertainty of 0.001 is considered to be sufficient to cover all'
Description[9]='effects.'
Vnom=0
Uexp=0,001
Fcov=1
PictureCount=1
DCount=1

[COMP 62]
Type=TypASum
Definition='mass bias correction of R_z4 as determined at time 0'
Unit=''
Description=14
Description[0]='The K_0_''s are measured using a'
Description[1]='certfied isotopic reference material, and they are calculated according to the'
Description[2]='following equation:'
Description[3]=''
Description[4]='K_0 ='
Description[5]='R_certified/R_observed'
Description[6]=''
Description[7]='When looking at the uncertainty contributions of R_certified and R_observed, it'
Description[8]='is clear that the contribution of R_certified can be neglected for this'
Description[9]='example. Henceforth, the uncertainties on the measured ratios, R_observed_, are'
Description[10]='used for the uncertainties on K_0.'
Description[11]=''
Description[12]='The original measurement data for the determination of K_0 is not shown in this'
Description[13]='example.'
Vnom=1,0002
Ustd==0.006/sqrt(8)
Neff=7
PictureCount=1
DCount=1

[COMP 63]
Type=TypBNormal
Definition='other contributions to the mass bias of R_z4'
Unit=''
Description=10
Description[0]='This bias factor is introduced to account for possible deviations in the value'
Description[1]='of the mass discrimination factor (these could be variations over time, as well'
Description[2]='as other sources of bias, such as multiplier dead time correction, matrix'
Description[3]='effects etc.). The values of these biases are not known in this case, but they'
Description[4]='are assumed to be around 0, therefore a'
Description[5]='value of 0'
Description[6]='is applied. An uncertainty is associated to this bias, which is estimated from'
Description[7]='experience. In this case a'
Description[8]='standard uncertainty of 0.001 is considered to be sufficient to cover all'
Description[9]='effects.'
Vnom=0
Uexp=0,001
Fcov=1
PictureCount=1
DCount=1

[Correlations]
Description=0

[CalCorr]
CNT=123
R[0,1]=0.0854129
R[0,6]=-0.0003653
R[0,8]=0.4634317
R[0,10]=-0.2548633
R[0,12]=-0.5228175
R[0,14]=0.3135621
R[0,16]=0.2680793
R[0,17]=-0.2058944
R[0,21]=0.1056417
R[0,23]=0.0100516
R[0,27]=-0.1055493
R[0,29]=-0.0098397
R[0,31]=0.3868842
R[1,14]=-0.0085746
R[1,16]=-0.0081639
R[1,27]=0.001335
R[1,29]=0.0017436
R[1,31]=-0.0107038
R[10,17]=0.7319459
R[14,16]=0.7324441
R[14,31]=0.8010766
R[16,27]=0.3726974
R[16,29]=0.0352557
R[16,31]=0.7627129
R[17,21]=0.3727099
R[17,23]=0.0354625
R[27,31]=-0.124721
R[29,31]=-0.1628997
R[0,45]=-0.3917308
R[0,13]=-0.3559227
R[0,43]=0.3472349
R[0,44]=-0.3462443
R[0,42]=0.3069152
R[0,9]=0.3048458
R[0,57]=0.2349423
R[0,15]=0.2090885
R[0,56]=0.2076616
R[0,47]=-0.1909611
R[0,11]=-0.1702126
R[0,46]=-0.1687873
R[0,22]=0.0822063
R[0,50]=0.0821657
R[0,60]=-0.0820939
R[0,28]=-0.0819992
R[0,51]=0.0663999
R[0,61]=-0.0663419
R[0,36]=0.0580394
R[0,3]=-0.0572166
R[0,5]=-0.0560673
R[0,4]=0.054161
R[0,2]=0.0525829
R[0,40]=-0.0456823
R[0,38]=0.0408645
R[0,37]=-0.0298877
R[0,52]=0.009092
R[0,24]=0.0089967
R[0,62]=-0.0089003
R[0,30]=-0.0088465
R[0,7]=-0.0060471
R[0,53]=0.004286
R[0,63]=-0.0041957
R[0,39]=0.0014934
R[0,18]=-0.0011116
R[1,36]=0.6480188
R[1,40]=-0.5100497
R[1,38]=0.4562589
R[1,37]=-0.3337007
R[1,39]=0.0166737
R[1,57]=-0.0064247
R[1,15]=-0.0057177
R[1,56]=-0.0056786
R[1,62]=0.0015772
R[1,30]=0.0015677
R[1,60]=0.0010383
R[1,28]=0.0010371
R[6,55]=0.7492686
R[6,54]=0.6622662
R[8,43]=0.7492686
R[8,42]=0.6622662
R[10,47]=0.7492686
R[10,46]=0.6622662
R[12,45]=0.7492686
R[12,44]=0.6622662
R[14,57]=0.7492686
R[14,56]=0.6622662
R[16,57]=0.5487974
R[16,15]=0.4884059
R[16,56]=0.4850729
R[16,60]=0.2898757
R[16,28]=0.2895416
R[16,61]=0.234255
R[16,62]=0.03189
R[16,30]=0.0316971
R[16,63]=0.0150331
R[17,47]=0.5484241
R[17,11]=0.4888362
R[17,46]=0.484743
R[17,22]=0.2900286
R[17,50]=0.2898855
R[17,51]=0.2342628
R[17,52]=0.032077
R[17,24]=0.0317409
R[17,53]=0.0151213
R[21,50]=0.7777778
R[21,51]=0.6285394
R[23,52]=0.904534
R[23,53]=0.4264014
R[27,60]=0.7777778
R[27,61]=0.6285394
R[29,62]=0.904534
R[29,63]=0.4264014
R[31,57]=0.6002216
R[31,15]=0.5341712
R[31,56]=0.5305259
R[31,62]=-0.1473484
R[31,30]=-0.1464572
R[31,60]=-0.0970052
R[31,28]=-0.0968934
R[31,61]=-0.0783921
R[31,63]=-0.0694607
R[31,32]=0.0023473
R[31,33]=0.0010966
R[31,34]=0.0010023