Development of Analytical and Preparatory Techniques - Chlorophyll Biosynthesis and Technological Applications - page 115

Let the 635 nm emission amplitude of the 2-MV Pchl(ide) a and b mixture which
is elicited by excitation 440 nm, be referred to as (E440 F635). Likewise let the
643 nm emission amplitude of the 2-MV Pchl(ide) a and b mixture which is elicited
by excitation at 463 nm, be referred to as (E463 F643). Also, let X in Eq. ( 3.37 )
represent 2-MV Pchl(ide) b and Y (4) in Eq. ( 3.38 ) represent 2-MV Pchl(ide) a as
depicted below:

X ð E a F b Þ¼ ð ½ F a F b Þð E c F d Þ= k 2 ð l = K 1 Þ (3.37)

and

Y ð E C F d Þ¼ ð ½ F c F d Þð E a F b Þ= k 4 ð l = K 2 Þ (3.38)

By substituting (E463 F643) for ( E a F b ), (E440 F635) for ( E c F d ), 2-MV Pchl
(ide) b for X and 2 MV Pchl(ide) a for Y , Eqs. ( 3.37 ) and ( 3.38 ) transform into:

2-MV Pchl ð ide Þ b ð E463 F643 Þ¼ ð ½ E463 F643 Þð E440 F635 Þ= k 2 ð 1 = K 1 Þ

(3.74)

2-MV Pchl ð ide Þ a ð E440 F635 Þ¼ ð ½ E440 F635 Þð E463 F643 Þ= k 4 ð 1 = K 2 Þ

(3.75)

where as reported elsewhere in Sect. 3.5 , K 1 , K 2 and k 1 , k 2 , k 3 , k 4 are as defined by
Eqs. ( 3.39 ) and ( 3.40 )

K 1 ¼ 1 ð k 1 = k 2 Þ

(3.39)

K 2 ¼ 1 ð k 3 = k 4 Þ

k 1 ¼ X ð E c F d Þ= X ð E a F b Þ; k 2 ¼ Y ð E c F d Þ= Y ð E a F b Þ

(3.40)

k 3 ¼ Y ð E a F b Þ= Y ð E c F d Þ; k 4 ¼ X ð E a F b Þ= X ð E c F d Þ

By substitution for X , Y ,( E a F b ), and ( E c F d ), Eq. ( 3.40 ) transforms into:

k 1 ¼ 2-MV Pchl ð ide Þ b ð E440 F635 Þ= 2-MV Pchl ð ide Þ b ð E463 F643 Þ

k 2 ¼ 2-MV Pchl ð ide Þ a ð E440 F635 Þ= 2-MV Pchl ð ide Þ a ð E463 F643 Þ

k 3 ¼ 2-MV Pchl ð ide Þ a ð E463 F643 Þ= 2-MV Pchl ð ide Þ a ð E440 F635 Þ

k 4 ¼ 2-MV Pchl ð ide Þ b ð E463 F643 Þ= 2-MV Pchl ð ide Þ b ð E440 F635 Þ