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Analytical Chemistry Chemical Cytometry Quantitates Superoxide

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Figure 1. Effect of gradient time on peak width (A) and peak capacity<br />

(B) using a 250 mm × 0.2 mm (closed symbols) and a 50 mm × 0.2<br />

mm (open symbols) monolithic column. Sample: six-protein digest<br />

(transferrin, bovine serum albumin, �-galactosidase, alcohol dehydrogenase,<br />

lysozyme, and cytochrome c), 1 µL injection (0.5 pmol/<br />

µL); flow rate: 2 µL/min; aqueous acetonitrile gradient from 1% to<br />

35% with 0.05% TFA ion-pairing agent; column temperature: 60 °C.<br />

Detection at 214 nm using a3nLflowcell.<br />

of tG (Figure 1B). For gradient times below 60 min, the peak<br />

capacity of the 50 mm long monolith was higher than that of the<br />

250 mm monolith. This can be explained by the difference in<br />

morphology of the two monoliths. 14<br />

At undersampling conditions, the total peak capacity ( 2D nc) and<br />

total analysis time (ttot) in off-line two-dimensional LC are given<br />

by<br />

1<br />

tG<br />

2D<br />

nc )<br />

st t tot ) 1 t +<br />

×<br />

1 tG<br />

s t<br />

2 tG<br />

2 W<br />

(1)<br />

· 2 t (2)<br />

where 2 tG is the second-dimension gradient time, 2 W is the<br />

average second-dimension peak width (equivalent to 4σ), 1 t is<br />

the first-dimension analysis time, 2 t is the second-dimension<br />

analysis time, and st is the sampling time. The first-dimensional<br />

analysis time is the sum of the column holdup time ( 1 t0), the<br />

dwell time ( 1 tdwell), and the gradient time ( 1 tG). The seconddimension<br />

analysis time is the sum of 2 tdesalt, 2 t0, 2 tdwell, a wash<br />

step ( 2 twash), and the second-dimension column equilibration<br />

time ( 2 teq), which corresponds to the time needed to flush the<br />

column with three column volumes to obtain good retention<br />

time stability. The peak production rate (�, min -1 ) is defined<br />

as<br />

7018 <strong>Analytical</strong> <strong>Chemistry</strong>, Vol. 82, No. 16, August 15, 2010<br />

� )<br />

2D nc<br />

Figure 2 illustrates the effect of the 2 tG on the � using a 50 mm<br />

and 250 mm long monolithic column. The 1 D RP separation<br />

was performed using a 50 mm × 1 mm monolithic column,<br />

applying a 10 min gradient at pH ) 8. The 2 D analysis included<br />

a preconcentration and desalting step on a monolithic trap<br />

column ( 2 tdesalt) and a RP gradient separation at pH ) 2onthe<br />

capillary column. Initially, a steep increase in � can be observed.<br />

In this region, � is dominated by the contributions of 2 t0 and<br />

2 teq time to the total analysis time in the second dimension.<br />

With increasing gradient time, the peak capacity initially<br />

strongly increases (Figure 1B) and the peak-production rate<br />

reaches a maximum. When applying even longer gradients, the<br />

peak-production rate decreases. This is because the peak capacity<br />

marginally increases with the gradient time at longer gradient<br />

duration (see Figure 1B). The existence of a maximum can also<br />

be demonstrated by taking the derivative in eq 3 with respect to<br />

2 tG. Forcing this derivative to be 0 yields<br />

2 tG,max ) � a<br />

t tot<br />

b� s t(<br />

1 td<br />

1 tG<br />

+ 1) + 2 t d<br />

where 2 tG,max refers to the gradient time in the second dimension<br />

that yields the highest value for �. 1 td ) 1 t0 + 1 tdwell, and 2 td )<br />

2 tdesalt + 2 t0 + 2 tdwell + 2 twash + 2 teq. The maximum peakproduction<br />

rate using the 50 mm long monolithic column is<br />

obtained at a 2 tG ∼ 9 min, and the maximum shifts to a higher<br />

Figure 2. Effect of 2 D gradient time on peak-production rate using<br />

250 mm (a) and a 50 mm (b) long second-dimension monolithic<br />

column with a sampling time of 30 s (solid line), 50 mm column with<br />

sampling time of 60 s (- --; c), and 50 mm column with sampling<br />

time of 120 s (---; d). First-dimension separation on a 50 mm × 1<br />

mm long column, 1 D delay time is 4 min, 10 min 1 D gradient time. 1 D<br />

gradient from 1% to 26% acetonitrile at pH ) 8 (10 mM aqueous<br />

ammonium carbonate buffer) at a flow rate of 60 µL/min. Seconddimension<br />

separation on a 250 mm column operating at a flow rate<br />

of 2 µL/min included a 1 min preconcentration, delay time of 0.4 min,<br />

t0 time of 3.53 min, 0.5 min wash step, and 10.6 min equilibration<br />

time; 2 D gradient from 1% to 35% with 0.05% TFA ion-pairing agent.<br />

Second-dimension separation on a 50 mm column operating at a<br />

flow rate of 2 µL/min included a 1 min preconcentration, delay time<br />

of 0.4 min, t0 time of 1.36 min, 0.5 min wash step, and 4.1 min<br />

equilibration time; 2 D gradient from 1% to 35% with 0.05% TFA ionpairing<br />

agent.<br />

(3)<br />

(4)

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