Physical Chemistry 3: — Chemical Kinetics — - Christian-Albrechts ...

Appendix C 266
• Convolution of the molecular intensity () and () gives the signal function
() =
Z
+∞
−∞
( 0 ) ( − 0 ) 0 =
where ⊗ denotes the convolution.
Z
+∞
−∞
( − 0 ) ( 0 ) 0 = () ⊗ ()
(B.14)
• Resulting model function to be fitted to the data:
() = 1 X
∙ 1 2 IRF
exp − ( − ¸ ∙ µ ¸
0)
( − 0 ) − 2 IRF
1+erf √ +
2
2 2
2IRF
(B.15)
where erf () is the error function and is a simple constant background term (can
be replaced by background + drift + ).
I
Figure B.2: Excited-state relaxation dynamics of the adenine dinucleotide after UV
photoexcitation.
I
References:
Bevington 1992 P. R. Bevington, D. K. Robinson, Data Reduction and Error Analysis
for the Physical Sciences, McGraw-Hill, Boston, 1992.
Dertinger 1995 S. Dertinger, A. Geers, J. Kappert, F. Temps, J. W. Wiebrecht,
Rotation-Vibration State Resolved Unimolecular Dynamics of Highly Vibrationally
Excited CH 3 O( 2 ): III. State Specific Dissociation Rates from Spectroscopic Line
Profiles and Time Resolved Measurements, Faraday Discuss. Roy. Soc. 102, 31
(1995).
Press 1992 W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical
Recipes in Fortran, Cambridge University Press, Cambridge, 1992. Versions are
also available for C and Pascal.