BioRisk | 8: 93— | 04 (2022) oe asa ea aa ors doi: 10.3897 /biorisk. 8.80607 RESEARCH ARTICLE & BI O R IS k https://biorisk.pensoft.net Potential risk resulting from the influence of static magnetic field upon living organisms. Numerically simulated effects of the static magnetic field upon porphine Wojciech Ciesielski', Tomasz Girek', Zdzistaw Oszczeda’, Jacek A. Soroka?, Piotr Tomasik? I Institute of Chemistry, Jan Dlugosz University, 42 201 Czestochowa, Poland 2 Nantes Nanotechnological Systems, 59 700 Bolestawiec, Poland 3 Scientific Society of Szczecin, 71-481 Szczecin, Poland Corresponding author: Wojciech Ciesielski (w.ciesielski@interia.p]) Academic editor: Josef Settele | Received 16 January 2022 | Accepted 9 May 2022 | Published 30 June 2022 Citation: Ciesielski W, Girek T, Oszczeda Z, Soroka JA, Tomasik P (2022) Potential risk resulting from the influence of static magnetic field upon living organisms. Numerically simulated effects of the static magnetic field upon porphine. BioRisk 18: 93-104. https://doi.org/10.3897/biorisk.18.80607 Abstract Background: Recognizing effects of static magnetic field (SMF) of varying flux density on flora and fauna is attempted. For this purpose the influence of SMF upon the porphine molecule is studied. Methods: Computations of the effect of static magnetic field (SMF) of 0.0, 0.1, 1, 10 and 100 AFU (1 AFU > 1000 T) flux density were performed in silico for SMF changes distribution of the electron density in that molecule. HyperChem 8.0 software was used together with the AM1 method for optimization of the conformation of the molecule of porphine. The computations of polarizability, charge distribu- tion, potential and dipole moment for molecules placed in SMF were performed for molecule situated subsequently in the x-y, y-z and x-z planes of the Cartesian system. The computations involved the DFT 3-21G method. Results: Static magnetic field (SMF) decreased stability of the porphine molecule. This effect depended on the situating the molecule in respect to the direction of SMF of the Cartesian system. An increase in the value of heat of formation was accompanied by an increase in dipole moment. Conclusions: Observed effects resulted from deformations of the molecule which involved pyrrole rings holding the hydrogen atoms at the ring nitrogen atoms and the length of the C-H and N-H bonds. In a consequence that macrocyclic ring lost its planarity. Keywords dipole moment, heat of formation, structure deformation Copyright Wojciech Ciesielski et al. This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. 94 Wojciech Ciesielski et al. / BioRisk 18: 93-104 (2022) Introduction Although porphine itself (Fig. 1) does not occur in nature, numerous porphine deriva- tives play an essential role in functioning in living organisms of flora and fauna. Porphine is a macrocyclic compound of an aromatic character. It is formed of four pyrrole rings bound with four methine (-CH=) bridges. The macrocyclic ring is planar and only the N—H bonds are bent in opposite (trans) directions (Caughey and Ibers 1977; Kadish et al. 2000; Ortiz de Montellano 2008). Involving numer- ous biosynthetic ways (Elder 1994; Aylward and Bofinger 2005), many porphine de- rivatives are naturally formed from protoporhyrin IX, it being a precursor of several biologically important compounds. A biological activity of porphine derivatives is achieved when metal ions are coordinated within the macrocyclic ring (Caughey and Ibers 1977; Kadish et al. 2000; Ortiz de Montellano 2008). This course of study was developed as a consequence of considerable environmental pollution with magnetic fields generated by modern technologies and technical solutions in several areas of human everyday life (Hamza et al. 2002; Rankovic and Radulovic 2009; Committee to Assess the Current Status and Future Direction of High Magnetic Field Science in the United States 2013; Magnet Science and Technology 2021; Magnetism in real life 2021). This paper follows a series of three recent papers of ours in which the effect of static magnetic field (SMF) upon small inorganic molecules (Ciesielski et al. 2021), lower alkanols (Ciesielski et al. 2022a) and monosaccharides (Ciesielski et al. 2022b) was recognized. In order to recognize the effect of SMF upon biologically important Figure |. Structure of the porphine molecule with the system of numbering of the atoms followed throughout the discussion and situating axes of the Cartesian system. Numerically simulated effects of the static magnetic field upon porphine 95 metalloporphyrines, in the present study we focused on the effect of SMF upon their free ligand, i.e. porphine itself. As in our former papers (Ciesielski et al. 2021; Ciesielski et al. 2022a, b) the ef- fect of SMF of flux density varying from 0 to 100 AFU was simulated with advanced numerical computations involving the in silico approach. Numerical computations DFT Molecular structures were drawn using the Fujitsu Scigress 2.0 software (March- and et al. 2014). Their principal symmetry axes were oriented along the x-, y and z- axes of the Cartesian system. The magnetic field was fixed in the same direction with the south pole from the left side. Z axis is directed perpendicularly to the porphine plane, the x and y axes are in the plane of the system, each of them along two nitrogen atoms. In the case of full mesomerism, because of the quaternary symmetry of z axis, the last two axes were undistinguished. When the nitrogen atoms differ from one another, the x axis crossed two nitrogen atoms substituted by hydrogen atoms and y axis crossed remained two unsubstituted nitrogen atoms. Thus, both x and y axes were distinguishable. Subsequently, utilizing Gaussian 0.9 software equipped with the 6-31G** basis (Frisch et al. 2016), the molecules were optimized and all values of bond length, dipole moment, heath of formation, bond energy, HOMO/LUMO energy level for single molecules as well as HOMO/LUMO energy level and total energy for systems built of three molecules, were computed. In the consecutive step, the influence of the static magnetic field (SMF) upon op- timized molecules was computed with Amsterdam Modelling Suite software (Farber- ovich and Mazalova 2016; Charistos and Mufioz-Castro 2019) and the NR_LDOTB (non-relativistic orbital momentum L-dot-B) method (Glendening et al. 1987; Car- penter and Weinhold 1988). Following that step, using Gaussian 0.9 software equipped with the DFT with functional B3LYP 6-31G* basis (Frisch et al. 2016) the values of bond length, dipole moment, heath of formation equal to the energy of dissociation, bond energy HOMO/LUMO energy level for single molecules, were again computed using the single-point energy option key word. Visualization of the HOMO/LUMO orbitals and changes of the electron density for particular molecules and their three molecule systems was performed involving the HyperChem 8.0 software (Froimowitz 1993; Mazurkiewicz and Tomasik 2013). Results and discussion Generally, SMF decreased stability of the poprhine molecule (Table 1). Heat of for- mation increased with an increase in applied flux density. This effect depended on the positioning of the molecule in respect to the direction of SMF defined in terms 96 Wojciech Ciesielski et al. / BioRisk 18: 93-104 (2022) of the Cartesian system. ‘The response of the molecule in the x-y, y-z and x-z planes did not parallel one another. An increase in the value of heat of formation was ac- companied by an increase in dipole moment. Again, these changes did not parallel one another. Thus, SMF destabilized porphine, increasing interatomic distances and separating their charges. Heat of formation and dipole moments regularly, although to a different extent, increased with an increase in the applied SMF flux density. This effect was common for porphine molecule, regardless whether it was located in either the x-y, y-z or x-z plane. However, in terms of dipole moment, the strongest reaction to an increase in flux density was noted for the molecule situated in the x-y plane. These total effects resulted from the distribution of the charge density at particular atoms, bond lengths, the deformation of the molecules and changes of their initial position in selected plane of the Cartesian system. Table 2 shows that, usually, charge density at particular atoms changed irregularly against an increase in the SMF flux density. The irregularity in associated bond lengths is shown in Table 3. Table 2 revealed that the highest number of irregular changes of the charge distribu- tion against changes of flux density was met in the molecule situated in the x-y and y-z planes, whereas the number of such irregularities in the x-z plane was minute. It should also be noted that several cases of a lack of sensitivity of the charge density to an increase in the flux density were observed when the molecule was oriented in the x-z plane. The highest number of irregular changes of the bond lengths against an increase in flux density was observed for the molecule situated in the x-y plane. Fig. 2 presents deformation of this molecule situated in the x-y, y-z and x-z planes of the Cartesian system. One might see that, first of all, regardless of the positioning of the molecule in the Cartesian system, the deformation involved pyrrole rings holding the hydrogen atoms at the ring nitrogen atoms and the length of the C-H and N—H bonds. The magni- tudes of the deformation are well illustrated by a variation of the charge density at particular atoms (Table 2) and corresponding bond lengths (Table 3). Particularly, but not solely, structures of the molecule situated in the y-z plane show that the macrocy- clic ring lost its planarity. Porphine treated with external electric field behaved similarly (Mazurkiewicz and Tomasik 2013). Table |. Heat of formation [kJ.mol'] and dipole moment [D] of the porphine molecule depending on its positioning in the Cartesian system and applied SMF flux density [AFU]. Orientation along the axes of Heat of formation [kJ-mol"*] Dipole moment [D] the Cartesian System at SMF flux density [AFU] at SMF flux density [AFU] 0 0.1 1.0 10 100 0 0.1 1.0 10 100 x-y -792 ~-782 -758 -731 -704 2.01 2.12 2.48 2.88 3.09 y-z =792- “<7F89° @-7650 “(4 ~-7TT. 220-2208) S21 DTG. 33263 X-Z -792 -781 -763 -715 -697 2.01 2.06 2.34 2.74 2.89 Numerically simulated effects of the static magnetic field upon porphine 97 Table 2. Charge density [a.u] at particular atoms of the porphine molecule depending on SMF flux density [AFU] positioning in the Cartesian system. Atom SMF along indicated Tendency* Charge density [a.u] at SMF flux density [AFU] Cartesian axis 0 0.1 1.0 10 100 Nl x RH -1.119 -1.045 -0.987 -0.985 -0.937 Z RH -1.025 -1.017 -1.012 -0.934 ¥ TH -1.004 -0.789 -0.940 -0.545 N2 x IL -0.817 -0.807 -0.795 -0.813 -0.855 Ls RH -0.783 -0.779 -0.772 -0.756 be Vv -0.750 -0.684 -0.425 -0.725 N3 xX IH -1.089 -1.025 -0.993 -0.948 -0.985 Ls IL -0.988 -0.986 -0.991 -0.995 ne IH -1.035 -0.938 -0.978 -0.789 N4 x RH -0.817 -0.816 -0.795 -0.762 -0.754 Z IH -0.785 -0.779 -0.785 -0.765 ee Vv -0.662 -0.759 -0.503 -0.454 G5 x TH 0.492 0.454 03559 0.447 0.572 Z IL 0.450 0.457 0.431 0.391 Y RL 0.474 0.282 0.152 0.070 C6 Xx TH -0.355 -0.351 -0.312 -0.317 -0.283 Z NC -0.354 -0.362 -0.350 -0.348 xh IH -0.370 -0.148 -0.121 -0.094 CF x IL 0.393 0.362 0.310 0.354 0.285 LZ NC 0.384 0.380 0.385 0.383 ve RL 0.332 0.269 0.163 -0.283 C8 x ITH -0.283 -0.251 -0.267 -0.244 -0.197 rs NC -0.274 -0.272 -0.278 -0.273 Y TH -0.219 -0.077 -0.007 -0.163 C9 Xx RL -0.213 -0.214 -0.233 -0.249 -0.257 iz, NC -0.226 -0.223 -0.221 -0.222 Y Vv -0.150 -0.150 -0.232 -0.059 C10 Xx RH 0.282 0.285 0.286 0.305 03553 Z; IL 0.281 0.278 0.254 0.262 Y IL 0.220 0.105 0.185 -0.088 er x Vv -0.253 -0.273 -0.227 -0.301 -0.298 PA Vv -0.296 -0.291 -0.273 -0.268 4 Vv -0.116 -0.202 -0.235 -0.001 C12 Xx Vv 0.434 0.418 0.330 0.425 0.476 Z Vv 0.389 0.392 0.371 0.409 ba IL 0.339 0.255 0.260 0.226 C13 Xx -0.292 -0.305 0.018 0.338 0.470 Z Vv -0.266 -0.269 -0.241 -0.272 vd Vv -0.353 -0.207 -0.152 0.356 C14 x IH -0.292 -0.249 -0.309 0.037 0.023 Z Vv -0.269 -0.269 -0.282 -0.268 xv Vv -0.291 -0.372 -0.184 -0.348 C15 x Vv 0.434 0.354 0.419 0.247 0.209 Ls IL 0.397 0.392 0.418 0.385 ae RL 0.410 0.389 0.290 0.094 C16 x TH -0.253 -0;221 -0.322 -0.139 -0.189 Ze IL -0.295 -0.291 -0.303 -0.311 Rg Vv -0.311 -0.073 -0.103 -0.089 98 Atom SMF along indicated Tendency* Cartesian axis C17 C18 C19 C20 C21 C22 G25 C24 H25 H26 Ay H28 H29 H30 H31 F132 H33 KNKXAKANKKNKKNKXACANK KN KKNKK NK KN KK NK AK NK KN KK N KK NK K NK K NK KN Vv RL RL Wojciech Ciesielski et al. / BioRisk 18: 93-104 (2022) Charge density [a.u] at SMF flux density [AFU] -0.213 -0.283 0.393 -0.355 0.492 -0.230 -0.230 0.267 0.230 0.240 0.250 0.254 0.237 0.237 0.254 0.250 0.1 0.281 0.278 0:252 -0.201 -0.224 -0.197 -0.272 -0.272 -0.163 0.356 0.388 0.285 =0.352 -0.363 -0.232 0.428 0.470 0.367 -0.210 -0.241 -0.133 -0.160 -0.242 -0.288 0.209 0.265 0.269 0.217 0.239 0.214 0.235 0.239 0.179 0.247 0.246 0.192 0.248 0.255 0.170 0.247 0.245 0.080 0.059 0.243 0.245 0.242 0.253 0.261 0.237 0.246 0.216 1.0 0.309 0.278 0.230 -0.233 -0.223 -0.127 -0.249 -0.272 -0.183 0.348 0.379 0.243 -0.360 -0.359 -0.238 0.419 0.456 0.338 -0.052 -0.241 -0.175 -0.223 -0.241 -0.112 0.290 0.264 0.126 0.234 0.235 0.069 0.234 0.241 0.175 0.245 0.246 0.168 0.259 0.252 0.197 0.018 0.244 0.220 0.256 0.244 C122 0.253 0.252 0.149 0.250 0.246 0.174 10 0.243 Wea 7e 0.148 -0.206 -0.224 -0.095 -0.274 -0.265 -0.189 0.288 0.393 0.263 -0.218 -0.349 -0.146 05299, 0.456 0.183 -0.175 -0.242 -0.129 0.026 -0.234 -0.140 0.258 0.273 0.077 0.260 0.232 0.077 0.270 0.235 0.179 0.250 0.249 0.179 0.260 0.251 0.151 0.234 0.238 0.180 0.060 0.237 0.120 0.218 0.256 0.114 W295 0.242 0.167 100 0.256 0.257 -0.051 -0.207 -0.224 -0.067 -0.272 -0.274 -0.124 0.275 0.400 0.113 -0.095 -0.375 -0.123 0.169 0.442 0.276 -0.152 -0.240 -0.019 -0.032 -0.232 -0.021 -0.071 0.270 0.127 0.237 0.233 0.103 0.268 0.232 0.151 0.247 0.251 0.166 0.258 0.250 0.075 0.188 0.243 0.027 0.071 0.238 0.061 0.206 0.258 0.099 0.189 0.244 0.132 Atom SMF along indicated Tendency* Cartesian axis H34 H35 H36 H37 H38 Numerically simulated effects of the static magnetic field upon porphine NKKNKKNK KN XK KN XK we 99 Charge density [a.u] at SMF flux density [AFU] 0 0.1 1.0 10 100 0.240 0.233 0.252 0.238 0.218 0.241 0.241 0.244 0.247 0.159 0.169 0.288 0.179 0.230 0.232 0.248 0.233 0.244 0.236 0.236 0/227 0.234 0.126 0,139 0.099 0.055 0.267 0.257 0.054 0.339 0.244 0.264 0.264 0.256 0.253 0.177 0.207 0.165 0.035 0.474 0.474 0.479 0.481 0.441 0.452 0.446 0.447 0.434 0.585 0.402 0.091 0.378 0.461 0.485 0.489 0.492 0.530 0.454 0.447 0.445 0.442 0.484 0.508 0.048 0.594 *Abbreviations used here and in next Tables: RHregularly increasing, IH - irregularly increasing, RL- regularly decreas- ing, IL - irregularly decreasing, V - lack of any regular tendency, NC - nearly constant. Table 3. Bond lengths [A] between particular atoms of the porphine molecule depending on SMF flux density [AFU] positioning in the Cartesian system. See Table 2 for notation. Bond N1-C5 N1-C22 N1-H37 N2-C7 N2-C10 N3-C12 N3-C15 N3-H38 N4-C17 SMF along indicated Cartesian axis KNKKANKANKAKANKAKNKKNXAKCNKKNK KN X Tendency Bond length [A] at flux density [AFU] 0 1.326 1.340 1.010 W325 1.401 1.328 1.328 1.010 1.401 0.1 1.352 1.385 1.358 1.354 1.407 1.417 1.112 0.990 1.052 Wed 52 1.432 1.422 1.410 1.432 1.458 1.358 1.384 1.303 1.347 1.394 1.359 1.104 0.990 0.978 1.383 1.427 1.486 1.0 1.409 1.402 1.451 1.381 1.402 1.430 1.040 0.990 1.480 1.392 1.337 1.349 1.374 1.425 L593 1.367 1391 1.416 1.389 1.391 1.270 1.024 0.993 0.824 1.411 1.425 1.407 10 1.373 1.390 1.640 1.434 1.405 1.552 1.055 0:975 1,732 1.357 L521 1.448 1.411 1.433 1.579 1.389 1.375 1.484 1.404 15392 1.358 1.023 0.987 1.494 1371 1.434 1.500 100 1.387 1.463 1.502 1.438 1.425 1.432 1.108 0.985 VAT. 1.345 1.320 W352 L379 1.431 1.676 1.370 1.368 1.226 1.435 95 277 1.101 0.995 1.436 1.361 1.500 1.896 100 Wojciech Ciesielski et al. / BioRisk 18: 93-104 (2022) Bond SME along indicated Tendency Bond length [A] at flux density [AFU] Cartesian axis 0 0.1 1.0 10 100 N4-C20 xX TH 1.325 1.368 1.383 1.382 1.381 Z V 1.339 1.337 1.326 1.320 ¥ IH 1.480 1.476 1.365 1.772 C5-C6 xX RH 1.340 1.336 1.370 1.440 1.480 Z Vv 1.364 1.365 1.361 1.344 Y IH 1.246 1.432 1.457 1.582 C5-C24 xX Vv 1.458 1.472 1.473 1.350 1.375 Z IH 1.488 1.492 1.499 1.453 Y RH 1.478 1.597 1.656 1.671 C6-C7 X RL 1.460 1.442 1.412 1.412 sa: Z V 1.428 1.435 1.410 1.450 ry Vv 1.416 1.546 1559 1.596 C6-H26 xX Vv 1.080 1.198 1.123 1.107 1.209 Z IH 1.098 1.100 1.171 1.113 Y RH 1.262 1.706 1.854 1.891 C7-C8 oe Vv 1.462 1.453 1.425 1.450 1.514 Z IH 1.490 1.495 1.493 1.500 Y Vv 1.568 1.398 1.429 1.671 C8-C9 xX Vv 1.326 1.307 1.398 1.388 1.396 Z V 1.366 1.365 1.359 1.395 ¥: IH 1.459 1.454 1.461 1.696 C8-H27 x Vv 1.080 1.172 1.098 1.077 1.223 Z RH 1.084 1.086 1.094 1.124 ¥ RH 1.382 1.657 1.730 1.776 C9-C10 Xx RL 1.456 1.445 1.428 1.424 1.441 Z IH 1.492 1.491 1.497 1.500 Y TH 1,562 1.532 1.547 1.802 C9-H28 xX V 1.080 1.129 1.094 1.091 1.150 Z TH 1.082 1.094 1.104 1.085 Y TH 1.459 1.499 1.408 1.911 C10-Cl11 xX IH 1.340 1.351 1.419 1.364 1.381 Ze V 1.357 1.358 1.348 1.329 ¥ IH 1.418 1.418 1.383 1.587 C11-C12 xX Vv 1.460 1.407 1.397 1.428 1.417 Z Vv 1.426 1.430 1.433 1.429 Y. Vv 1.452 1.463 1.341 1.778 C11-H29 xX Vv 1.080 1.160 1.141 1.076 1.179 Z Vv 1.104 1.105 1.097 1.103 a4 TH 1.535 1.433 1.604 2.068 C12-C13 xX RH 1.337 1.380 1.380 1.382 1.480 Z Vv 1.435 1.430 1.426 1.430 X IH 1.410 1.464 1.614 1.599 C13-C14 x NC 1.450 1.400 1.395 1.425 1.431 Z IL 1.483 1.410 1.480 1.401 Ne Vv 1.418 1.416 1.537 1.070 C13-H30 xX Vv 1.080 1.138 2.265 1.179 1.109 Z V 1.082 1.085 1.085 1.007 ¥ V 1.817 1.338 1.496 2.060 Bond C14-Cl15 C14-H31 C15-Cl6 C16-C17 C16-H32 C17-C18 C18-C19 C18-H33 C19-C20 C19-H34 C21-C22 C20-C21 C21-H35 C22-C23 C23-C24 C23-H36 C24-H25 Numerically simulated effects of the static magnetic field upon porphine SMF along indicated Cartesian axis KNSKKNSKMKNMKMKNMKMANK AKAN KK NK KN KM AKN KK NK KN KK NK KN KK NK KN KK NK KN XS Tendency 0 1.337 1.080 1.460 1.340 1.080 1.456 L357 1.080 1.452 1.080 1.340 1.460 1.080 1.458 1.359 1.080 1.080 Bond length [A] at flux density [AFU] 0.1 1.342 1.430 1.406 1.798 1.083 1.130 1.414 1.434 1.378 1.384 1.355 1.316 1225 1.104 1.104 1.435 1.493 1.504 Loo? 1.367 1.387 1.198 1.084 1.276 1.448 1.485 1.517 1.138 1.083 1.521 1.364 1.354 1.401 1.418 1.366 1.459 1.997 1.102 1.567 1.441 1.485 1.500 Loe, 1.357 1.403 25 1.097 1.528 1.354 1.084 1.1591 1.0 1.408 1.430 N22 1.120 1.086 1.739 1.382 1.430 1.454 1.368 1.358 1.428 1.084 1.105 1.595 1.435 1.491 1.508 1.320 1.365 1.527 1.085 1.086 1.547 1.453 1.496 L378 1.077 1.086 1.494 1.389 1.362 1.324 1.402 1.362 1.432 1.088 1.100 1.465 1.428 1.492 1.544 1.280 1.362 1.484 1.733 1.088 1.445 1.064 1.088 1.689 10 1.403 1.442 1.507 3.640 1127 1.860 1.436 1.428 1.495 1.428 1.362 1.518 1.298 1.098 1.778 1.424 1.476 1.560 1.418 1.374 1.482 1.200 1.094 1.568 1.386 1.499 1.417 1.073 1.094 1.407 1.365 1.368 1.656 1.451 1.358 1.457 LAS F 1.095 1.614 1.520 1.475 1.656 1.355 1.368 W393 1.082 1.073 1625 3.183 1.083 1.839 101 100 1.401 1.453 1.620 6.799 1.079 1.753 1.452 1.442 1.633 1.452 L329 1.497 1.359 1.103 1.891 1.445 1.500 1.671 1.417 L393 1.696 Ree ae 1.095 1.776 1.384 1.516 1.802 1223 oP! a Bia 1.344 1.344 1.770 1.472 1.329 1.633 1.056 1113 2.068 1.584 1.453 1.599 128 1.397 1.070 1.214 1129 2.060 6.835 1.096 L7Do 102 Wojciech Ciesielski et al. / BioRisk 18: 93-104 (2022) Sy poy Oy ws i a5 Figure 2. Deformation of the porphine molecule in SMF of flux density increasing from 0 to 100 AFU. The molecule was situated either in the x-y (a), y-z (b) or x-z (c) planes of the Cartesian system. SMF was applied along the x-axis. Conclusions The planar molecule of porphine deforms when placed in the static magnetic field. The deformation depends on the situating the molecule against the field. The deformation engages pyrrole rings holding the hydrogen atoms at the ring nitrogen atoms. The length of the C-H and N-H bonds is also an essential factor. Data availability All data underlying the results are available as part of the article and no additional source data are required. Numerically simulated effects of the static magnetic field upon porphine 103 References Aylward N, Bofinger N (2005) Possible origin for porphin derivatives in prebiotic chemistry - a computational study. 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