Chemistry Letters Vol.34, No.2 (2005)
159
are 6:4 ꢅ 10ꢃ8 sꢃ1 (4:39 ꢅ 10ꢃ8 to 8:90 ꢅ 10ꢃ8 sꢃ1) at 121 ꢀC,
−2
−4
Li and Brill, 2003
Vallentyne,1964
k
k1
ꢃ7
3:4 ꢅ 10ꢃ7 sꢃ1 (1:31 ꢅ 10ꢃ7 to 4:42 ꢅ 10
s
ꢃ1) at 131 ꢀC,
1:1 ꢅ 10ꢃ6 sꢃ1 (5:71 ꢅ 10ꢃ7 to 1:34 ꢅ 10ꢃ6 sꢃ1) at 141 ꢀC and
1:2 ꢅ 10ꢃ5 sꢃ1 (1:18 ꢅ 10ꢃ5 to 1:27 ꢅ 10ꢃ5 sꢃ1) at 160 ꢀC.
Then we can calculate k2 values by subtracting the above aver-
age k1 values from k (Eq 2): k2 ¼ k ꢃ k1. The obtained k2 values
are 2:4 ꢅ 10ꢃ7, 5:8 ꢅ 10ꢃ7, 1:0 ꢅ 10ꢃ6, and 6:0 ꢅ 10ꢃ6 sꢃ1 at
121, 131, 141, and 160 ꢀC, respectively.
−6
k2
−8
−10
−12
−14
−16
−18
In conclusion, the obtained apparent rate constants k
(¼ k1 þ k2) and the apparent activation energy (147 kJ/mol)
showed a good agreement with the literature data for the de-
crease rate of Thr.5,10 (Figure 2). However the k1 and k2 values
showed different slopes in an Arrhenius diagram. These two
slopes for k1 and k2 have a crossing points around 140 ꢀC
(Figure 2). At temperatures under 140 ꢀC, the transformation re-
action has larger rate constants (k2) than the decomposition (k1).
This study demonstrated that the intrinsic amino acid decompo-
sition rate such as that for Thr ! Gly decomposition might be
different from the apparent decrease rate of amino acids, because
of the presence of other side reactions. This difference will be
large at lower temperatures (Figure 2). Therefore, kinetic consid-
eration on the chemical evolution of amino acids against their
decomposition needs to be re-evaluated by taking into account
the present results.
1.6
1.8
2
2.2
2.4
2.6
1000/T / K−1
Figure 2. The Arrhenius diagram for the apparent decrease rate
constants k of threonine together with the literature data.5,10
Let us now consider kinetic aspects of the Thr transformation
reactions described as above with corresponding rate constants
(k1 and k2). If we assume that, all of these reactions are regarded
as the 1st order reaction, the following rate equations can be
formulated.
We would like to thank Dr. M. Ikoma for his discussions on
the kinetic treatments of our data.
½Thrꢂ ¼ ½Thrꢂ0eꢃkt
k ꢄ k1 þ k2
ð1Þ
ð2Þ
References
1
A. I. Oparin, Reproduced in ‘‘The origin of life,’’ ed. by
J. D. Bernal, Weidenfeld and Nicolson, London (1924),
p 199.
k1
½Glyꢂ ¼ ð½Thrꢂ0 ꢃ ½ThrꢂÞ
ð3Þ
k
[Thr] denotes the concentration of Thr in the product solu-
tion, [Thr]0 the initial Thr concentration and [Gly] the Gly con-
centration.
2
3
M.-C. Maurel and J.-L. Decout, Tetrahedron, 55, 3141
(1999).
A. Brack, B. Barbier, F. Boillot, and A. Chabin, in ‘‘Geo-
chemistry and the Origin of Life,’’ ed. by S. Nakashima S.
Maruyama, A. Brack, and B. F. Windley, Universal Acade-
my Press, Tokyo (2001).
S. Nakashima and D. Shiota, in ‘‘Geochemistry and the
Origin of Life,’’ ed. by S. Nakashima S. Maruyama, A.
Brack, and B. F. Windley, Universal Academy Press, Tokyo
(2001).
J. R. Vallentyne, Geochim. Cosmochim. Acta, 28, 157
(1964).
R. H. White, Nature, 310, 430 (1984).
J. L. Bada, S. L. Miller, and M. Zhao, Origins Life Evol.
Biosphere, 25, 111 (1995).
R. E. Hecky, K. Mopper, P. Kilham, and E. T. Degens, Mar.
Biol., 19, 323 (1973).
D. Shiota and S. Nakashima, in ‘‘Geochemistry and the
Origin of Life,’’ ed. by S. Nakashima S. Maruyama, A.
Brack, and B. F. Windley, Universal Academy Press, Tokyo
(2001).
In order to determine the rate constants from our experimen-
tal data sets, the following graphical method was used. The
slopes for linear regression lines in natural logarithm of Thr con-
centration—time diagrams correspond to the first order Thr de-
creasing rate constants k (¼ k1 þ k2). The obtained values are
3:0 ꢅ 10ꢃ7 sꢃ1, 9:2 ꢅ 10ꢃ7 sꢃ1, 2:1 ꢅ 10ꢃ6 sꢃ1, and 1:8 ꢅ 10ꢃ5
sꢃ1 at 121, 131, 141, and 160 ꢀC, respectively. These apparent
decrease rate constants k (¼ k1 þ k2) of Thr were plotted in
the Arrhenius diagram (Figure 2). These values are in good
agreement with the Thr decrease rates reported previously.5,10
The slope of the regression line in Figure 2 gives the apparent
activation energy of 147 kJ/mol, in agreement with the values
in literature data.5,10
Now, by using k, [Thr] and [Gly] values at each tempera-
tures to the Eq 3, we can obtain k1 values for each data points:
the difference in values for the same temperature might be origi-
nated from the experimental errors in temperature and concen-
trations of Thr and Gly. Therefore the average k1 values were de-
termined at each temperature. The obtained average values of k1
4
5
6
7
8
9
10 J. Li and T. B. Brill, J. Phys. Chem. A, 107, 5987 (2003).
Published on the web (Advance View) December 25, 2004; DOI 10.1246/cl.2005.158