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2.1. GENERALIDADES DE LOS HONGOS ENTOMOPATÓGENOS

2.1.4. Mecanismos de acción de los hongos entomopatógenos

All  continuum  solvation  model  calculations  mentioned  so  far  have  used  the  original   PCM  variant,  probably  one  of  the  most  popular  continuum  solvation  models  in  the   literature.  Other  continuum  solvation  models  and  modifications  to  existing  ones  have   been  suggested  over  the  years,  for  example:  the  conductor  polarisable  continuum   model  CPCM308,  isodensity  PCM  (IPCM),79  self-­‐consistent  isodensity  PCM  (SCIPCM)79  

and  the  SMD  solvation  model.78    

 

From  our  QM/MM  MD  simulations  we  evaluated  a  free  energy  difference  between  A   and  F  at  the  B3LYP/6-­‐31+G*  level.  The  result  is  consistent  with  the  NMR  

spectroscopic  analysis  but  is  in  contrast  to  previous  PCM-­‐DFT  results.  We  were   curious  whether  other  continuum  solvation  models  were  capable  of  predicting  an   energy  difference  between  A  and  F  closer  to  the  QM/MM  predictions.    

 

 

Figure  35  Relative  energies  Δ(E+Gsolv)  of  3F-­‐GABA  conformers  calculated  by  adding  gas-­‐phase  relative  energies  

(on  PCM-­‐B3LYP/6-­‐31+G*  geometries)  and  relative  free  energies  of  solvation  from  different  continuum  solvation   models  evaluated  at  the  DFT  or  HF  level  with  the  6-­‐31+G*  basis  set.  

 

The  above  mentioned  solvation  models,  available  in  Gaussian  09,  were  used  to   calculate  solvation  free  energies  for  each  conformer,  by  subtracting  total  gas-­‐phase   energies  from  continuum  solution  energies,  using  the  same  level  of  theory  for  gas  and   solution.  In  order  to  do  a  consistent  comparison  between  models,  all  solvation  

energies  were  added  to  gas-­‐phase  energies  at  the  B3LYP/6-­‐31+G*//PCM-­‐B3LYP/6-­‐

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31+G*  level  (i.e.  PCM-­‐B3LYP  geometries),  giving  E+Gsolv  solution  energies.  SCIPCM  

results  could  not  be  included  as  most  calculations  did  not  converge  (those  that  did   converge,  for  A,  E  and  G,  showed  very  similar  relative  energies  as  regular  PCM   results).  

 

Δ(E+Gsolv)  relative  energies  for  the  3F-­‐GABA  conformers,  using  several  different  

solvation  models  are  plotted  in  Figure  35.  The  figure  also  shows  the  relative  gas-­‐ phase  energies  of  each  conformer  where  it  is  evident  that  the  intramolecular   interactions  strongly  favour  folded  conformers  and  that  any  preference  towards   extended  conformers  must  come  from  an  accurate  calculation  of  the  interaction   between  solute  and  solvent.  

 

Results  using  the  PCM  solvation  model  at  different  levels  of  theory  result  in  a  

dramatic  drop  in  preference  for  folded  conformers  (compared  to  the  gas-­‐phase)  but   folded  conformers  are  still  favoured.  Results  using  the  PCM  solvation  model  at  

different  levels  of  theory  and  the  CPCM  solvation  model  are  overall  quite  similar.  The   IPCM  solvation  model  shows  a  slightly  different  energy  surface  and  curiously  the  F   conformer  is  considerably  more  stable  than  conformers  B-­‐E  and  G-­‐J  and  is  even   slightly  more  stable  than  A  in  agreement  with  the  QM/MM  result.  The  more  than  5   kcal/mol  energy  difference  between  F  and  other  extended  conformers,  however,   seems  inconsistent  with  the  results  of  the  unconstrained  MD  simulations  where  most   extended  conformers  were  encountered  regularly  (although  these  were  performed  at   the  PM3/MM  level  of  theory).    

Results  using  the  SMD  solvation  model  show  dramatically  different  results  than  other   solvation  models.  There  is  a  slight  dependence  on  the  level  of  theory  used  to  calculate   the  solvation  energy  (B3LYP  vs.  M05-­‐2X)  but  overall  the  results  seem  the  most  

compatible  with  the  results  from  the  QM/MM  MD  simulations  where  conformer  F  is   found  to  be  slightly  more  stable  than  all  other  conformers  (in  agreement  with  the   calculated  energy  difference  and  NMR  analysis)  but  other  conformers  still  being  close   enough  in  energy  to  be  encountered  during  MD  simulations.  Also  shown  in  Figure  35   are  SMD  results  using  only  the  electrostatic  term  (non-­‐electrostatic  term  neglected)   which  shows  that  the  performance  of  the  SMD  solvation  model  for  our  system  has   mainly  to  do  with  electrostatic  effects  but  not  the  non-­‐electrostatic  (cavitation,   dispersion,  exchange-­‐repulsion  etc.)  term  which  is  of  a  slightly  more  empirical   nature.  The  good  performance  of  the  SMD  model  compared  to  PCM  (both  methods   use  the  IEFPCM  protocol  in  Gaussian  09)  thus  must  come  from  the  atomic  radii  used   in  the  SMD  solvation  model  that  have  been  specially  optimised.78  

 

Finally,  we  note  that  our  E+Gsolv  energies  are  not  free  energies  of  solution.  This  is  due  

to  the  fact  that  we  do  not  include  ZPVE  or  thermal  effects  to  enthalpy  and  entropy.   These  quantities  should  come  from  vibrational  frequency  calculations  and  it  has  been   recommended  to  do  these  calculations  in  the  gas-­‐phase.309  For  3F-­‐GABA,  however,  

the  zwitterionic  form  is  not  stable  in  the  gas-­‐phase  and  vibrational  frequency  

calculations  thus  cannot  be  performed.  It  is  a  current  debate  in  the  literature  whether   calculating  vibrational  frequencies  using  a  continuum  solvation  model  is  a  valid   approximation  to  use  for  the  evaluation  of  the  free  energy  of  solution.309,310  For  our  

system  it  is  not  clear  whether  the  neglect  of  potentially  crucial  quantities  like  entropy   is  more  dangerous  than  including  an  ill-­‐defined  thermochemical  quantity.  Test  

calculations  of  the  thermal  correction  to  enthalpy  and  entropy  from  vibrational   frequencies  in  solution,  however,  lead  to  small  differences  between  Δ(E+Gsolv)  and  

 

We  have  shown  that  recent  continuum  solvation  models  are  not  in  such  strong   disagreement  with  experiment  (and  QM/MM)  for  the  3F-­‐GABA  system.  This  bodes   well  for  future  studies  of  zwitterions  as  continuum  solvation  calculations  are  very   straightforward  to  carry  out  and  have  a  low  computational  cost  compared  to  the   orders  of  magnitude  more  involved  QM/MM  calculations.  At  least  it  is  clear  that   continuum  solvation  models  are  very  useful  for  an  an  initial  exploration  of  the   conformational  energy  surface  of  small  molecules  that  interact  strongly  with  the   solvent.