پديدآورندگان :
Rasouli Zahra zrasouli@iasbs.ac.ir Institute for Advanced Studied in Basic Science, Zanjan , Seyedhamzeh Mohammad Institute for Advanced Studied in Basic Science, Zanjan , Kompany-Zareh Mohsen kompanym@iasbs.ac.ir Institute for Advanced Studied in Basic Science, Zanjan
كليدواژه :
PARAFAC , uniqueness , rank overlap , hard modeling constrain
چكيده فارسي :
PARAFAC is one of several decomposition methods for multi-way data. The popularity
of this model in chemistry is due to its uniqueness properties [1]. The uniqueness of
PARAFAC does not hold in cases with rank overlap, rank overlap can be simply found
where components have similar spectral profiles or analytes appearing in identical
proportions throughout an experiment. Although constraints such as non-negativity,
unimodality and, hard modeling can still make PARAFAC model useful in this regard.
The hard constraint forces some or all of the concentration profiles to fulfill an
equilibrium model that is refined at each iteration cycle of PARAFAC optimization
process. PARAFAC with hard constraint is called Hard-Soft PARAFAC [2].
Nitrophenol-type compounds are widely applied in industries such as chemistry,
petrochemical, and pharmacy and are one of the most important raw materials for
synthetic medicine, dye, herbicides, insecticides, resins, and explosives. Because
nitrophenol-type compounds are cancer causing and highly poisonous, it is very
important to test and analyze these compounds to avoid the harm and danger they may
cause to humans. Simultaneous determination of nitrophenol-type compounds is very
difficult because the similarity in their structures produces overlapping signals. In recent
years, the reduction of 4-nitrophenol (Nip) to 4-aminophenol (Amp) by borohydride
(BH4 -) in aqueous solution has become such a model reaction that meets all criteria of
a model reaction. It can be monitored easily with high precision by UV−vis
spectroscopy. This is due to the fact that Nip has a strong absorption at 400 nm and the
decay of this peak can be measured precisely as the function of time. Moreover, the
reaction rate is small enough so that the conversion can be conveniently monitored over
several minutes [3,4].
In this study, kinetic reaction of mixture of ortho, meta, and para-nitrophenol in the
presence of excess BH4
- has been investigated. The Uv-vis spectra were collected
during the kinetic process in 15 samples. There are three first order reactions and
PARAFAC does not have unique solution because of rank deficiency in concentration
profiles. Use of HSPARAFAC leads to unique solution, therefore rate constants and
concentration profiles can be calculated simultaneously. In our case, computed rate
constants for meta, ortho and para-nitrophenol reaction are 0.0102, 0.0100, and 0.3830,
respectively.