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H

ostetler

:

J

ournal of

AOAC I

nternational

V

ol

.

100, N

o

.

3, 2017 

9

of the major

cis

isomers of α-carotene. Although this could

potentially cause error in the β-carotene calculation, even in

a sample with high α-carotene (Figure

2016.13D

), the

cis

-

α-carotene/

cis

-β-carotene peak accounted for only 5% of the

total β-carotene peak area.

To test whether the all-

trans

isomers of lutein and β-carotene

were isomerized during the sample preparation, chromatograms

from spike and recovery experiments (

n

= 3) were used.

Samples were spiked with all-

trans

carotenoid standards along

with internal standard and carried through the preparation. No

cis

isomers of lutein were detected in the standard mixture,

and none were detected in the spiked sample. In the β-carotene

standard solution,

cis

isomers of β-carotene accounted for 3.4%

of the total peak area in the standard mixture and 3.8% of the

total β-carotene peak area in the spiked sample. This indicates

that any isomerization of all-

trans

-lutein or β-carotene during

the sample preparation is negligible.

Linearity

Linearity of the relative responses of analyte concentrations

was measured using a five-point standard curve on 3 different

days. Coefficients of determination, visual inspection, residuals,

and relative errors of back-calculated concentrations were used

for evaluation. Linearity of the internal standard was also tested.

Regression lines for all-

trans

-lutein, all-

trans

-β-carotene,

and apocarotenal are shown in Figure 4. Regression data for

residuals and back-calculated concentrations are shown in

Tables 1–3. The determination coefficients (R

2

) for each curve

were >0.999. The

y

-intercepts for all of the curves appeared

insignificant; to test this assumption, sample calculations for

all-

trans

-lutein and all-

trans

-β-carotene were performed by

using both the

y

-intercept and forcing the

y

-intercept through

zero. Two infant formulas were used: one with typical lutein and

β-carotene concentrations and one with concentrations near the

LOQ. The results (Tables 4 and 5) indicate that even for very low

concentrations (3–4 μg/100 g) the difference between the two

calculations was not more than 3%. Only when concentrations

were near 1 μg/100 g did the calculations differ by as much

as 9%. Based on these data, the

y

-intercept was forced through

zero to simplify the calculations.

In accordance with SMPR 2014.014, all data for

infant formula and adult nutritionals are presented on a

reconstituted basis (as is for RTF liquids, 25 g powder/225 g

reconstituted weight for powder samples, or 1:1 by weight

for liquid concentrates). The ranges for lutein and β-carotene

(4–240 μg/100 mL) correspond to approximately 0.8–45 μg/100 g

for samples prepared for the lowest sample concentrations. With

dilutions specified in the method, the range can be extended to

approximately 2250 μg/100 g. This range extends beyond that of

1–1300 μg/100 g specified in the SMPR.

LOD/LOQ

The LOD and LOQ were extrapolated from the S/N

calculated in ChemStation software (Agilent Technologies,

Santa Clara, CA) when measuring analyte concentrations

of 1.4–1.7 μg/100 g in spiked NIST SRM 1849a. The LOD

was calculated as (3 × measured concentration)/(S/N). The

LOQ was calculated as (10 × measured concentration)/(S/N).

Results from three different spiked samples were averaged. The

determined LOQ for both lutein and β-carotene (Tables 6 and 7)

meet the LOQ requirement of ≤1 μg/100 g in SMPR 2014.014.

Precision

Precision experiments were performed using the full

SPIFAN sample kit, designed to represent current infant

formulas and adult nutritional drinks on the market, in addition

Figure 4. Linearity plot for (A) lutein, (B) β-carotene, and

(C) apocarotenal.

Table 1. Residuals for the internal standard

Apocarotenal concn, μg/100 mL

Residual

203.5

4.119148067

101.8

–7.399430255

40.7

–3.177165248

20.4

1.435593088

4.07

2.222225757

2.04

2.79962859

49