Development of Analytical and Preparatory Techniques - Chlorophyll Biosynthesis and Technological Applications - page 98

and

Y ð E c F d Þ¼ð E c F d Þ Q 4 ð E a F b Þ Q 5 ð E g F h Þ= Q 6 (3.49)

Where

Q 1 ¼ 1 = k 10 K 6 K 8 = K 7 ; Q 2 ¼ K 6 = K 7 ;

Q 3 ¼ K 5 þ K 6 K 9 = K 7 ; Q 4 ¼ 1 = k 16 K 11 K 13 = K 12 (3.50)

Q 5 ¼ K 11 = K 12 ; Q 6 ¼ K 10 þ K 11 K 14 = K 12

and

K 5 ¼ 1 k 9 = k 10 ; K 6 ¼ 1 k 11 = k 10 ;

K 7 ¼ k 14 k 13 k 11 = k 10 ; K 8 ¼ k 13 = k 10

K 9 ¼ð k 13 k 9 = k Þ k 12 ; K 10 ¼ 1 k 15 = k 16 ; (3.51)

K 11 ¼ k 17 = k 16 ; K 12 ¼ k 20 k 19 k 17 = k 16 ;

1

K 13 ¼ k 19 = k 16 ; K 14 ¼ð k 19 k 15 = k 16 Þ k 18

and,

k 9 ¼ X ð E c F d Þ= X ð E a F b Þ; k 10 ¼ Y ð E c F d Þ= Y ð E a F b Þ;

k 11 ¼ Z ð E c F d Þ= Z ð E a F b Þ; k 12 ¼ X ð E g F h Þ= X ð E a F b Þ;

k 13 ¼ Y ð E g F h Þ= Y ð E a F b Þ; k 14 ¼ Z ð E g F h Þ= Z ð E a F b Þ;

(3.52)

k 15 ¼ Y ð E a F b Þ= Y ð E c F d Þ; k 16 ¼ X ð E a F b Þ= X ð E c F d Þ;

k 17 ¼ Z ð E a F b Þ= Z ð E c F d Þ; k 18 ¼ Y ð E g F h Þ= Y ð E c F d Þ;

k 19 ¼ X ð E g F h Þ= X ð E c F d Þ; k 20 ¼ Z ð E g F h Þ= Z ð E c F d Þ;

In this context, (Ea Fb , (Ec Fd), and (Eg Fh) represent the fluorescence excita-
tion or fluorescence emission amplitudes of the X, Y, Z mixture, at the E a or Fb, Ec
or Fd, and Eg or Fh wavelengths, respectively

3.6.2 Calculation of the Amounts of MV and DV
Protochlorophyll(ides) in a Mixture of These Two
Compounds, and in the Absence of Interference
by Other Tetrapyrroles

This case can also be solved by appropriate adaptation of Eqs. ( 3.37 ) and ( 3.38 ).
The difference between the Pchl(ide) and the Mg-Proto equations lies in an
appropriate choice of the excitation and emission wavelengths, which in turn