Conformational States of the Spiropyran Molecule

The form of the potential surface of the ground state was investigated on the basis of indoline spiropyran. As a result of this work the rotamers of an open-ring form of the spiropyran molecule were discovered, and the existence of the most probable rotamers was justified. The 3D potential surface of the ground state of the spiropyran molecule was built. The route of the isomerization of the molecule was discovered and values of barriers for this reaction were found. The part of the isomerization route that is responsible for changing the hybridization of spiroatom from sp 3 to sp 2 was found.


Introduction
To date the creation of the controlled and steady state photochromic systems is one of the important areas in organic chemistry.The interest in photochromic compounds is associated with the broad spectra of possible applications.The development of the photochromic materials is a relevant field of scientific researches.It is related to the production of the perspective materials which are used for data storing technologies and reproducing information, colour filters production, photochromic lenses production, optical switches, and various components of molecular electronics.This is possible due to the fact that photochromic compounds are capable of changing their structure reversibly by activating electromagnetic radiation.As a consequence the electronic absorption spectrum and other physicochemical characteristics are changed [1][2][3][4][5].
Photochromic spirocyclic compounds find many possible applications, and therefore broad requirements are presented to their properties.Hence, the study of the behavior of molecular spirocyclic systems under the influence of electromagnetic radiation is an important and urgent task.Solution of this task allows understanding correlation between molecular structure of the substance and its spectral-kinetic characteristics in detail.By turn, it points to the route of transformation of the materials structure to obtain the desired properties from them [6].
One of the most prospective and studied classes of organic photochromic compounds is spiropyrans.The photochromic properties of spiropyrans are determined by the photoinduced cleavage of the bond in the benzopyrene fragment.This cleavage leads to the appearance of the open-ring merocyanine form [7,8]. Tangible difference in colour of cyclic and merocyanine forms of the molecule is one of the main advantages of spiropyrans.In the first case the molecule is colourless, and in the second case there is an intense frequently dark colour [9,10].Besides, the distinguishing feature of spiropyrans is good spectral discernibility of the isomers and the ability of "setting" the photochromic characteristics by changing the structure.Transition between isomers can be realized with the light [11].In addition, the absence of -conjugation in the spiropyran molecules and its presence in merocyanine molecules make these molecules prospective for creation molecular components of the computer engineering such as switches and memory cells.
Plenty of scientific works are devoted to the investigation of the spiropyran molecule [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27].It is necessary to say that at such interest in spiropyrans during the half a century there is still no clear opinion about the mechanism of spiropyranmerocyanine switching.Different schemes of such transition are offered.Probably, the authors of work [17] are the closest to a solution, but there is still a feeling that a definitive answer has not been received yet.
Conformational transitions between rotamers have not been fully investigated, the routes of the transition processes of the spiropyran molecule between "closed" and "open" forms have not been studied in detail, and the influence of these processes on the electronic spectra of the spiropyran molecule has not been determined.These points defined a trend of the research.
Thus, the purpose of this study was as follows.
( (2) The investigation of the routes of ring-closing processes of rotamers; finding the dependence between the bond energy of the molecule and the length of the bond between C spiro -O atoms in the given molecules.

Object and Methods
Spiropyran shows thermochromic properties and in solution it is in equilibrium with the open form at room temperature.
In A calculation of the molecule was realized with AM1, PM3, and MNDO/d methods [29,30].But the preference was given to MNDO/d.In this case, the choice of MNDO/d method was conditioned on the fact that it provides the best reproduction of the experimental values of energy  of an electronic system on the occupied molecular orbitals (OMO) which are known.
It is known that semiempirical and nonempirical methods do not differ fundamentally in the view of the approach to the solution of molecular Schrödinger equation.The same general scheme of calculation is used for the semiempirical methods as for the ab initio methods [31].The difference is that each stage of calculation is greatly simplified.
The precision of calculation of some characteristics of molecules with the semiempirical methods may be even not lower than with the ab initio methods for separate classes of chemical compounds (mainly organic).This is due to the fact that the parameterization of semiempirical methods is realized on the experimental values of certain characteristics of real materials.Naturally, these values are reproduced with high precision [32].But even if the semiempirical methods often yield to ab initio or DFT methods, they can be useful in many situations, including the exposure and understanding of the properties of the compounds and trends of processes evolution and also therein a qualitative understanding of the properties is enough [33].Semiempirical calculations are the most successful ones in the description of organic chemistry, where only a few elements are widely used and molecules are medium-sized.
In our case we came to the fact that relative changes are important for us, not absolute values.In addition, preliminary methods were approved on the already known experimental results.
International Journal of Photoenergy In this work it was necessary to scan the distance between C spiro -O atoms and at the same time there was a need to optimize the geometric structure of the molecule.Toward this end, software product MOPAC-12 was used.
MOPAC-12 allows optimizing the structure and at that it keeps necessary distance between atoms.
Molecular Modeling System HyperChem (Release 8.0.6.for Windows) was used for calculation of absorption spectra.

Results and Discussion
It is known that under the influence of light the spiropyran molecule turns into the merocyanine with high quantum yield.Similarly, the merocyanine molecule grows into the spiropyran molecule under light or heat influence.So, we have a cyclic process of molecule transformations.During the transformation of spiropyran molecule to merocyanine molecule and vice versa the intermediate process takes place.This process shows itself in the optical absorption spectra and is called X isomer [34,35].
Considering the structure of the spiropyran molecule we see that it consists of two noninteracting -electron systems causing the presence of bands in the absorption spectrum of the spiropyran in the ultraviolet region of the spectrum.On the other hand, the merocyanine molecule has a single electron system which provides the molecule absorption in the visible spectrum.
Calculations of quantum transitions of these two types of molecules give the absorption spectrums which correlate with experimental data fully [36].In Figures 3 and 4 bands positions of allowed (singlet-singlet) quantum transitions are marked in the bottom of the graphs by vertical lines.On the top of the graphs vertical lines mark permitted and prohibited (singlet-triplet) quantum transitions.The comparison of spiropyran and merocyanine structures shows that the bond between b(26)-b( 27) atoms in the first molecule has a cis-configuration and in the second transconfiguration.So, looking for the best way to convert one molecule to another, it is necessary to foresee the trans-cisisomerization relative to C(26)-b (27) bond and then change the hybridization from sp 3 to sp 2 of nuclear orbitals of the spiroatom C (25).Besides, there is a need to find the optimal configuration of phenyl part of the molecule by the investigation of rotation of this fragment round the axis C( 27)-C (28).The result of this research is shown in Figure 3.
From Figure 5 it follows that both configurations have practically identical energies.Therefore, it can prove that they are equiprobable.The energetic barrier between these configurations is 1.6 eV.It makes rotamers stable (frequency factor of transition from one rotamer to another is 0.24 ⋅ 10 −15 c −1 ).However, further transformation of molecules will differ.For returning the merocyanine molecule into the spiropyran shape the following is necessary.27) bond will approach the oxygen atom to the spiroatom of carbon.Otherwise, approaching will not be observed.
( of potential barriers showed that both isomers are in potential wells.But the high altitude (about 70 eV) makes the existence of such isomerization reaction impossible.This height is caused by steric effects.
During the study of the ring-closing process the distance between the spiroatom and the oxygen atom was scanned from 4.423 Å to 1.424 Å with a step 0.2 Å.The bond was fixed and geometric optimization of other bonds was carried out at each step of the scanning.The graph of the ring-closing route for the merocyanine was built (Figure 6).After the result graph analyzing it is possible to define at what energy and at what distance between C spiro and O atoms the chemical bond is broken.
Rehybridization in the spiropyran takes place by increasing the length of C spiro -O bond to 2.02 Å (Figure 7).It is worth commenting the results that are shown in Figure 7.When the distance between C spiro and O atoms is over 2.5 Å the value of N(11)-C(25)-C (26) angle is close to 120 ∘ .It points to sp 2hybridization of atomic orbitals of C spiro .
The decrease of the bond length from 2.5 Å to 2 Å leads to increase of the angle N(11)-C(25)-C (26).This is due to the steric interactions between the oxygen atom and the substituent.Further reducing of the distance between C spiro and O atoms requires leaving the C(25)-C(26) bond from the plane of molecule and as a consequence it causes the appearance of the rehybridization process from sp 3 to sp 2 of C spiro atomic orbitals.
According to the research data it is possible to build 3D diagram (Figure 8).To construct this surface the scan of the distance between C spiro and O atoms was conducted from 1.424 Å to 4.423 Å with step 0.2 Å.The calculation of potential barriers relative to the dihedral C(26)-C(27)-C(28)-C (29) angle was realized at every step.
Figure 8 clearly shows the potential surfaces that describe the behavior of the merocyanine molecule in the ground state.However, the equilibrium state of the spiropyran molecule is closed with a barrier.Therefore, we have represented the shape of the potential surface in the form of geodesic lines (Figure 9) that allows you to see the equilibrium states of both the merocyanine and the spiropyran.Also, it has been found that there is a very narrow corridor for the ring-closing reaction from the merocyanine to the spiropyran.

Conclusions
On the basis of the obtained results during the quantumchemical studies of conformational transformations from the merocyanine molecule to the spiropyran the following conclusions were made.
) The investigation of the isomers existence of the "open" form of the molecule relative to b(27)-b(28) and b(26)-b(27) bonds by constructing potential curves and determination of the values of barriers between them.

Figure 1
the general structure of spiropyran is presented.Nonplanar indoline and benzopyrene fragments are located in a molecule approximately orthogonal to each other.A dihedral angle between planes \(30)-b(25)-b(26) of the benzopyrene and N(11)-C(25)-C(26) of the indoline cycles at the spiroatom b(25) is 86.3 ∘ .The length of the bond between C spiro -O atoms in the "closed" molecule is 1.424 Å.A geometric optimization for the merocyanine molecule (open form of the spiropyran) had the same settings as a closed form.The distance between C spiro and O atoms is 4.423 Å [28].This molecule is shown in Figure 2.

Figure 2 :
Figure 2: General structure of the merocyanine.

Figure 3 :
Figure 3: The absorption spectrum of the spiropyran.

Figure 6 :
Figure 6: The dependence of energy from distance between C spiro and O atoms for the merocyanine.

( 1 )
Transformation from the spiropyran molecule to the merocyanine takes place by the cleavage of the

2 CFigure 9 :( 2 )
Figure 9: The same result is presented as in Figure 8 but in the form of geodesic lines and, in addition, the energy scale is limited by the interval of 50 kcal/mol.