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	<title>Ammm:QM/MM - Revision history</title>
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		<title>Admin: Created page with &quot;= Introduction&lt;br&gt;  =  == What is QM/MM?&lt;br&gt;  ==  *Hybrid method that QM (Quantum mechanics) and MM (molecular mechanics) calculation schemes  *The system is divided into two regions  **QM and MM regions  **Regions are designed based on compromise in calculation time and accuracy  == Why use QM/MM?&lt;br&gt;  ==  *The system is too large to use &#039;&#039;ab initio&#039;&#039; calculations&lt;br&gt;  *MM calculations do not give the &quot;correct&quot; answer  *Processes involving change in electronic structure...&quot;</title>
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		<updated>2022-05-10T15:52:56Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;= Introduction&amp;lt;br&amp;gt;  =  == What is QM/MM?&amp;lt;br&amp;gt;  ==  *Hybrid method that QM (Quantum mechanics) and MM (molecular mechanics) calculation schemes  *The system is divided into two regions  **QM and MM regions  **Regions are designed based on compromise in calculation time and accuracy  == Why use QM/MM?&amp;lt;br&amp;gt;  ==  *The system is too large to use &amp;#039;&amp;#039;ab initio&amp;#039;&amp;#039; calculations&amp;lt;br&amp;gt;  *MM calculations do not give the &amp;quot;correct&amp;quot; answer  *Processes involving change in electronic structure...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;= Introduction&amp;lt;br&amp;gt;  =&lt;br /&gt;
&lt;br /&gt;
== What is QM/MM?&amp;lt;br&amp;gt;  ==&lt;br /&gt;
&lt;br /&gt;
*Hybrid method that QM (Quantum mechanics) and MM (molecular mechanics) calculation schemes &lt;br /&gt;
*The system is divided into two regions &lt;br /&gt;
**QM and MM regions &lt;br /&gt;
**Regions are designed based on compromise in calculation time and accuracy&lt;br /&gt;
&lt;br /&gt;
== Why use QM/MM?&amp;lt;br&amp;gt;  ==&lt;br /&gt;
&lt;br /&gt;
*The system is too large to use &amp;#039;&amp;#039;ab initio&amp;#039;&amp;#039; calculations&amp;lt;br&amp;gt; &lt;br /&gt;
*MM calculations do not give the &amp;quot;correct&amp;quot; answer &lt;br /&gt;
*Processes involving change in electronic structure&lt;br /&gt;
&lt;br /&gt;
== How QM/MM methods differ?&amp;lt;ref&amp;gt;Eduardo M. Sproviero et all. Photosynth Res.  In Press.&amp;lt;/ref&amp;gt;&amp;lt;br&amp;gt;  ==&lt;br /&gt;
&lt;br /&gt;
=== Treatment of the junction between QM and MM regions&amp;lt;br&amp;gt;  ===&lt;br /&gt;
&lt;br /&gt;
==== Use of link atoms  ====&lt;br /&gt;
&lt;br /&gt;
*Hydrogen is “inserted” along the bond contained in the QM/MM junction&amp;lt;br&amp;gt; &lt;br /&gt;
**Placed closed to the MM atom&amp;lt;br&amp;gt; &lt;br /&gt;
**Behavior is changed based on the identity of the MM atom&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Localized orbitals  ====&lt;br /&gt;
&lt;br /&gt;
*Specially designed local orbitals assigned to boundary QM and MM atoms&amp;lt;ref name=&amp;quot;Hu&amp;quot;&amp;gt;H. Hu, W. Yang / Journal of Molecular Structure: THEOCHEM 898 (2009) 17–30&amp;lt;/ref&amp;gt;&amp;lt;br&amp;gt; &lt;br /&gt;
**maintain closure of QM system &lt;br /&gt;
**local orbitals are designed and tested based on empirical data &lt;br /&gt;
**no need for extra atoms&lt;br /&gt;
&lt;br /&gt;
==== Pseudopotential methods&amp;lt;br&amp;gt;  ====&lt;br /&gt;
&lt;br /&gt;
*MM-bounded boundary QM atoms are assigned a special basis set and potential&amp;lt;ref name=&amp;quot;Hu&amp;quot; /&amp;gt; &lt;br /&gt;
**mimic correct covalent bonding scheme &lt;br /&gt;
**designed from small system models &lt;br /&gt;
**no need for extra atoms&lt;br /&gt;
&lt;br /&gt;
=== Methods of energy calculations&amp;lt;br&amp;gt;  ===&lt;br /&gt;
&lt;br /&gt;
==== Subtraction Scheme  ====&lt;br /&gt;
&lt;br /&gt;
===== ONIOM - (our own n-layered integrated molecular orbital and molecular mechanics)  =====&lt;br /&gt;
&lt;br /&gt;
Method developed by Morokuma and co-workers which allows for different regions of a system to be calculated at different levels of theory and combine to produce a consistent energy expression.&amp;amp;nbsp;&amp;lt;ref name=&amp;quot;Morokuma&amp;quot;&amp;gt;M. Svensson, S. Humbel, R.D.J. Froese, T. Mastubara, S. Sieber, and K. Morokuma, J.Phys.Chem., 100, 19357 (1996).&amp;lt;/ref&amp;gt; &lt;br /&gt;
&lt;br /&gt;
[[Image:Oniom.png|704x208px]] &lt;br /&gt;
&lt;br /&gt;
E(ONIOM2) = E(High, region 1) + E(low, regions 1 and 2) – E(low, region1)&amp;lt;br&amp;gt;E(ONIOM3) = E(High, region A) +E(Medium, regions A and B) + E(Low, regions A, B and C) – E(Medium, region A) – E(Low, region A and B) [http://www.gaussian.com/g_tech/g_ur/k_oniom.htm www.gaussian.com/g_tech/g_ur/k_oniom.htm] &lt;br /&gt;
&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Summation scheme ====&lt;br /&gt;
&lt;br /&gt;
Example:&lt;br /&gt;
&lt;br /&gt;
[[Image:2 layer system.png|279x169px]]&amp;lt;br&amp;gt; &lt;br /&gt;
&lt;br /&gt;
E&amp;lt;sub&amp;gt;total&amp;lt;/sub&amp;gt;(1 and 2) = E&amp;lt;sub&amp;gt;QM&amp;lt;/sub&amp;gt;(1 and 2) + E&amp;lt;sub&amp;gt;QM/MM, ele&amp;lt;/sub&amp;gt;(1 and 2) + E&amp;lt;sub&amp;gt;QM/MM,nucl&amp;lt;/sub&amp;gt;(1 and 2) + E&amp;lt;sub&amp;gt;QM/MM,vdw&amp;lt;/sub&amp;gt;(1 and 2) + E&amp;lt;sub&amp;gt;QM/MM,covalent&amp;lt;/sub&amp;gt;(1 and 2) + E&amp;lt;sub&amp;gt;MM&amp;lt;/sub&amp;gt;(2)&amp;lt;ref name=&amp;quot;Hu&amp;quot; /&amp;gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== The way in which the electrostatic interaction between the QM and MM regions are described &amp;lt;br&amp;gt;  ===&lt;br /&gt;
&lt;br /&gt;
==== Mechanical embedding&amp;lt;br&amp;gt;  ====&lt;br /&gt;
&lt;br /&gt;
Polarization from MM electrostatics comes from interpolation scheme used to combine energy terms.&amp;amp;nbsp; &amp;lt;br&amp;gt; &lt;br /&gt;
&lt;br /&gt;
==== Electronic embedding&amp;lt;br&amp;gt;  ====&lt;br /&gt;
&lt;br /&gt;
QM polarization form MM electrostatics is explicitly considered.  &lt;br /&gt;
&lt;br /&gt;
==== Linear-scaled Eward Method &amp;lt;br&amp;gt;  ====&lt;br /&gt;
&lt;br /&gt;
Particle-mesh Eward technique with periodic boundary conditions&amp;lt;ref name=&amp;quot;Senn&amp;quot;&amp;gt;H. M. Senn, W. Thiel. Current Opinion in Chemical Biology 2007, 11:182–187&amp;lt;/ref&amp;gt; &amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== GSBP - generalized solvent boundary potential &amp;lt;br&amp;gt;  ====&lt;br /&gt;
&lt;br /&gt;
Small region of the system surround QM region is treated explicitly. The remainder of the system is fixed and described in terms of solvent-shielded static field and a Poisson–Boltzmann reaction field.&amp;lt;ref name=&amp;quot;Senn&amp;quot; /&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
= Case study  =&lt;br /&gt;
&lt;br /&gt;
== Project Introduction&amp;lt;br&amp;gt;  ==&lt;br /&gt;
&lt;br /&gt;
=== Goals&amp;lt;br&amp;gt;  ===&lt;br /&gt;
&lt;br /&gt;
*Simulate the &amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;H and &amp;lt;sup&amp;gt;205&amp;lt;/sup&amp;gt;Tl NMR spectra based MM and QM/MM refined x-ray crystallographic and NMR structures &lt;br /&gt;
*Understand how differences in the structure lead to different chemical shifts &lt;br /&gt;
*Gain insight into molecular structural information directly from experimental chemical shifts&lt;br /&gt;
&lt;br /&gt;
=== The G-quardruplex Model System  ===&lt;br /&gt;
&lt;br /&gt;
[[Image:Gquart.png|250x306px]]&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp;&amp;amp;nbsp; [[Image:Guartet.png|251x267px]] &lt;br /&gt;
&lt;br /&gt;
*Model System for the development of &amp;lt;sup&amp;gt;205&amp;lt;/sup&amp;gt;Tl NMR &lt;br /&gt;
**All classes of biomacromolecules bind monovalent cations &lt;br /&gt;
**Na&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; and K&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; are poor spectroscopic nuclei &lt;br /&gt;
**Tl&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is an excellent mimic of K&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; &lt;br /&gt;
**&amp;lt;sup&amp;gt;205&amp;lt;/sup&amp;gt;Tl&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is a spin ½ nucleus with a large gyromagnetic ratio &lt;br /&gt;
***&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;H &amp;amp;gt; &amp;lt;sup&amp;gt;19&amp;lt;/sup&amp;gt;F &amp;amp;gt; &amp;lt;sup&amp;gt;205&amp;lt;/sup&amp;gt;Tl &amp;amp;gt; &amp;lt;sup&amp;gt;31&amp;lt;/sup&amp;gt;P &lt;br /&gt;
*G&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;T&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;G&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt; is the telomeric sequence from the ciliate Oxytricha Nova &lt;br /&gt;
**Homodimeric G-quadruplex with diagonal loops &lt;br /&gt;
**Contains four G-quartets, each composed of four guanine bases &lt;br /&gt;
**Exceptionally stable and structures have been solved by NMR and X-ray crystallography &lt;br /&gt;
**Binds 3-5 monovalent cations&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Experimental NMR Spectra &amp;lt;ref name=&amp;quot;Gill&amp;quot;&amp;gt;Michelle L. Gill, Scott A. Strobel and J. Patrick Loria  Am. Chem. Soc. 127, 16723-16732 (2005)&amp;lt;/ref&amp;gt;  ===&lt;br /&gt;
&lt;br /&gt;
[[Image:Nmr.png|819x490px]]&lt;br /&gt;
&lt;br /&gt;
=== Quantum Mechanics / Molecular Mechanics (QM/MM) Hybrid Methodology&amp;lt;ref name=&amp;quot;Gascon 2004&amp;quot;&amp;gt;J.A. Gascon and V.S. Batista,  Biophys. J. 87, 2931-2941 (2004)&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;Gascon 2005&amp;quot;&amp;gt;J.A. Gascon, E.M. Sproviero and V.S. Batista,  J. Chem. Theor. Comput. 2, 11-20 (2005)&amp;lt;/ref&amp;gt;&amp;lt;br&amp;gt;  ===&lt;br /&gt;
&lt;br /&gt;
[[Image:Qmmm method.png|690x350px]] &lt;br /&gt;
&lt;br /&gt;
[http://www.gaussian.com/g_tech/g_ur/k_nmr.htm www.gaussian.com/g_tech/g_ur/k_nmr.htm] &lt;br /&gt;
&lt;br /&gt;
[http://www.gaussian.com/g_tech/g_ur/k_oniom.htm www.gaussian.com/g_tech/g_ur/k_oniom.htm]&lt;br /&gt;
&lt;br /&gt;
== &amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;H NMR simulations&amp;lt;br&amp;gt;  ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Proton_nmr_simulation.png|806x509px]]&lt;br /&gt;
&lt;br /&gt;
== &amp;lt;sup&amp;gt;205&amp;lt;/sup&amp;gt;Tl simulations&amp;lt;br&amp;gt;  ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tl_nmr_simulations.png|903x532px]]&lt;br /&gt;
&lt;br /&gt;
== &amp;lt;sup&amp;gt;205&amp;lt;/sup&amp;gt;Tl benchmarks&amp;lt;ref&amp;gt;J.  Hinton. (1992) Ann Rep NMR Spectr 13, 211&amp;lt;/ref&amp;gt;&amp;lt;br&amp;gt;  ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tl_benchmarchs.png|917x528px]]&lt;br /&gt;
&lt;br /&gt;
== &amp;lt;sup&amp;gt;15&amp;lt;/sup&amp;gt;N simulation of NH&amp;lt;sub&amp;gt;4&amp;lt;sup&amp;gt;&amp;lt;/sup&amp;gt;&amp;lt;/sub&amp;gt;&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; bound G-quadruplex&amp;lt;ref&amp;gt;Juli Feigen et al (2001) Methods in Enzymology Vol 338,400&amp;lt;/ref&amp;gt;&amp;lt;br&amp;gt;  ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Nh4_nmr_simulations.png|968x567px]]&lt;br /&gt;
&lt;br /&gt;
== Case study conclusions&amp;lt;br&amp;gt;  ==&lt;br /&gt;
&lt;br /&gt;
*We have completed NMR simulations of G-quadruplet at the QM/MM level where the influence of the surrounding environment is explicitly considered &lt;br /&gt;
*&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;H-NMR is found to be extremely sensitive to the configuration of the system, useful for gaining structural insight&lt;br /&gt;
*Stacking greatly impacts the&amp;lt;sup&amp;gt;1&amp;lt;/sup&amp;gt;H NMR Spectra&lt;br /&gt;
*The ions most exposed to the loops have different magnetic environments most likely due to structural disorder&lt;br /&gt;
*All-electron (UGBS) simulations of &amp;lt;sup&amp;gt;205&amp;lt;/sup&amp;gt;Tl NMR spectra provide valuable insight on the origin of chemical shifts &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
= Further Reading  =&lt;br /&gt;
&lt;br /&gt;
H. Hu, W. Yang / Journal of Molecular Structure: THEOCHEM 898 (2009) 17–30 [[Image:H Hu papper 2009.pdf]] &lt;br /&gt;
&lt;br /&gt;
H. M. Senn, W. Thiel. Current Opinion in Chemical Biology 2007, 11:182–187 [[Image:Senn paper.pdf]] &lt;br /&gt;
&lt;br /&gt;
M. Svensson, S. Humbel, R.D.J. Froese, T. Mastubara, S. Sieber, and K. Morokuma, J.Phys.Chem., 100, 19357 (1996). [[Image:Svensson paper.pdf]]&lt;br /&gt;
&lt;br /&gt;
R. A. Friesner and V. Guallar, Annu. Rev. Phys. Chem. 2005. 56:389–427 [[Image:Friesner.pdf ]]&lt;br /&gt;
&lt;br /&gt;
= References =&lt;br /&gt;
&lt;br /&gt;
&amp;lt;references /&amp;gt;&lt;/div&gt;</summary>
		<author><name>Admin</name></author>
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