Phi and Psi Angles: Difference between revisions

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<table width='400' align='right' cellpadding='5'><tr><td rowspan='2'>&nbsp;</td><td bgcolor='#eeeeee'><applet load='LeuLeuIleTyr.pdb' size='390' frame='true' align='right' scene ='Phi_and_Psi_Angles/First_view/1' caption='' /></td></tr><tr><td bgcolor='#eeeeee'><center>'''Tetrapeptide: Leu-Leu-Ile-Tyr'''<scene name='Phi_and_Psi_Angles/First_view/1'> (Initial scene)</scene></center></td></tr></table>
<table width='400' align='right' cellpadding='5'><tr><td rowspan='2'>&nbsp;</td><td bgcolor='#eeeeee'><applet load='LeuLeuIleTyr.pdb' size='390' frame='true' align='right' scene ='49/499178/First_view/2' caption='' /></td></tr><tr><td bgcolor='#eeeeee'><center>'''Tetrapeptide: Leu-Leu-Ile-Tyr'''<scene name='Phi_and_Psi_Angles/First_view/1'> (Initial scene)</scene></center></td></tr></table>


A tetrapeptide, such as Leu-Leu-Ile-Tyr, contains four amino acids connected together with three amide or peptide bonds.  Since an amide bond has pi bond character, the six atoms that constitute a peptide bond all lie in the <scene name='Phi_and_Psi_Angles/First__view_planes/1'>same plane</scene> - the orange plane is the peptide bond connecting Tyr and Ile and the yellow one connects Ile and Leu. &nbsp;As with any peptide the conformation of the <scene name='Phi_and_Psi_Angles/Backbone/1'>backbone</scene> is determined by the values of two torsional angles. In sequence order, phi (&phi;) is the N(i-1),C(i),Ca(i),N(i) torsion angle and psi (&psi;) is the C(i),Ca(i),N(i),C(i+1) torsion angle.   
A tetrapeptide, such as Leu-Leu-Ile-Tyr, contains four amino acids connected together with three amide or peptide bonds.  Since an amide bond has pi bond character, the six atoms that constitute a peptide bond all lie in the <scene name='Phi_and_Psi_Angles/First__view_planes/1'>same plane</scene> - the orange plane is the peptide bond connecting Tyr and Ile and the yellow one connects Ile and Leu. &nbsp;As with any peptide the conformation of the <scene name='Phi_and_Psi_Angles/Backbone/1'>backbone</scene> is determined by the values of two torsional angles. In sequence order, phi (&phi;) is the C(i-1),N(i),Ca(i),C(i) torsion angle and psi (&psi;) is the N(i),Ca(i),C(i),N(i+1) torsion angle.   




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== More Detail on Phi and Psi  ==
== More Detail on Phi and Psi  ==


<table width='400' align='right' cellpadding='5'><tr><td rowspan='2'>&nbsp;</td><td bgcolor='#eeeeee'><applet load='LeuLeuIleTyr_2models.pdb' size='390' frame='true' align='right' scene ='Phi_and_Psi_Angles/Model_1_ile_angles/1' caption='' /></td></tr><tr><td bgcolor='#eeeeee'><center>'''Tetrapeptide: Leu-Leu-Ile-Tyr'''<scene name='Phi_and_Psi_Angles/Model_1_ile_angles/1'> (Initial scene)</scene></center></td></tr></table>
<table width='400' align='right' cellpadding='5'><tr><td rowspan='2'>&nbsp;</td><td bgcolor='#eeeeee'><applet load='LeuLeuIleTyr_2models.pdb' size='390' frame='true' align='right' scene ='49/499178/Model_1_ile_angles/2' caption='' /></td></tr><tr><td bgcolor='#eeeeee'><center>'''Tetrapeptide: Leu-Leu-Ile-Tyr'''<scene name='Phi_and_Psi_Angles/Model_1_ile_angles/1'> (Initial scene)</scene></center></td></tr></table>


The initial scene shows phi and psi values for Ile. Notice the three colored triangular planes. The yellow plane serves as the references in measuring the two angles. The purple plane is part of the <scene name='Phi_and_Psi_Angles/Model_1_ile_angles_psi_plane/1'>planar peptide bond</scene> (side chains removed for clearer viewing) between Tyr and Ile (red plane), and the angle between the red and yellow planes is psi. The orange plane is part of the <scene name='Phi_and_Psi_Angles/Model_1_ile_angles_phi_plane/1'>planar peptide bond</scene> between Ile and Leu (blue plane), and the angle between the blue and yellow planes is phi.  An amino acid needs to be bonded to <scene name='Phi_and_Psi_Angles/Model_1_ile_angles_both_planes/1'>two other amino acids</scene> in order to have values set for both psi and phi, for that reason the two terminal amino acids do not have values set for these angles. Show phi/psi for <scene name='Psi_and_Phi_Angles/Model_1_ile_leu_angles/1'>both Ile and Leu47</scene>. Notice that the orange plane involved in setting phi = -149<sup>o</sup> is in the same peptide bond plane as the purple plane that sets psi for Leu at -34<sup>o</sup>. With this being the case the psi for Leu47 can not be set by rotating this peptide bond plane because in doing so the Ile phi value would change. The <scene name='Psi_and_Phi_Angles/Model_1_alpha_c_leu/2'>alpha carbon and its bonded atoms</scene> (larger diameter sticks) can be rotated to set psi for Leu47. Since the <scene name='Psi_and_Phi_Angles/Model_1_carbonyl_c_leu/1'>carbonyl carbon</scene> does not leave the plane of the peptide bond, the rotation of the &alpha;-carbon changes the angle of the yellow plane relative to the plane of the peptide bond (orange and purple), and thus sets the the psi for Leu47. The phi for Leu47 is set by rotating the <scene name='Psi_and_Phi_Angles/Model_1_ile_leu_angles_l_l_pla/1'>red plane</scene> (plane of the Leu46-Leu47 peptide bond).
The initial scene shows phi and psi values for Ile. Notice the three colored triangular planes. The yellow plane serves as the references in measuring the two angles. The purple plane is part of the <scene name='Phi_and_Psi_Angles/Model_1_ile_angles_psi_plane/1'>planar peptide bond</scene> (side chains removed for clearer viewing) between Tyr and Ile (red plane), and the angle between the red and yellow planes is psi. The orange plane is part of the <scene name='Phi_and_Psi_Angles/Model_1_ile_angles_phi_plane/1'>planar peptide bond</scene> between Ile and Leu (blue plane), and the angle between the blue and yellow planes is phi.  An amino acid needs to be bonded to <scene name='Phi_and_Psi_Angles/Model_1_ile_angles_both_planes/1'>two other amino acids</scene> in order to have values set for both psi and phi, for that reason the two terminal amino acids do not have values set for these angles. Show phi/psi for <scene name='Psi_and_Phi_Angles/Model_1_ile_leu_angles/1'>both Ile and Leu47</scene>. Notice that the orange plane involved in setting phi = -149<sup>o</sup> is in the same peptide bond plane as the purple plane that sets psi for Leu at -34<sup>o</sup>. With this being the case the psi for Leu47 can not be set by rotating this peptide bond plane because in doing so the Ile phi value would change. The <scene name='Psi_and_Phi_Angles/Model_1_alpha_c_leu/2'>alpha carbon and its bonded atoms</scene> (larger diameter sticks) can be rotated to set psi for Leu47. Since the <scene name='Psi_and_Phi_Angles/Model_1_carbonyl_c_leu/1'>carbonyl carbon</scene> does not leave the plane of the peptide bond, the rotation of the &alpha;-carbon changes the angle of the yellow plane relative to the plane of the peptide bond (orange and purple), and thus sets the the psi for Leu47. The phi for Leu47 is set by rotating the <scene name='Psi_and_Phi_Angles/Model_1_ile_leu_angles_l_l_pla/1'>red plane</scene> (plane of the Leu46-Leu47 peptide bond).
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*Click in the lower text box of the console that comes up, type the '''Select''' command followed by the number of the residue (Obtain this number in the Jmol applet by hovering over the residue whose psi and phi you want to determine), a "''';'''" and the command '''draw rama''' and then press the '''Return''' key.
*Click in the lower text box of the console that comes up, type the '''Select''' command followed by the number of the residue (Obtain this number in the Jmol applet by hovering over the residue whose psi and phi you want to determine), a "''';'''" and the command '''draw rama''' and then press the '''Return''' key.


== See Also ==
* [[Dihedral/Index]] which lists many tutorials and resources about the Ramachandran principle, and phi and psi angles in proteins.


== External Links ==
*[http://xray.bmc.uu.se/embo2001/modval/phirot_anim.gif Animation of Phi] and [http://xray.bmc.uu.se/embo2001/modval/psirot_anim.gif  Psi rotations] by [http://www.medicine.usask.ca/biochem/faculty/associate-faculty/david-sanders.php David Sanders]


[http://en.wikipedia.org/wiki/Torsional_angle Extensive description] of torsional angles.
*[http://www.msg.ucsf.edu/local/programs/garlic/commands/dihedrals.html Excellent description of torsional angles] by [http://www.zucic.org/damir/damir.html Damir Zucic].
[http://chemagic.com/JSmolVMK2.htm] Interactive turning of phi/psi angles
 
*[http://en.wikipedia.org/wiki/Torsional_angle Extensive description] of torsional angles.
 
*[[Basics of Protein Structure]]

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Karl Oberholser, Joel L. Sussman, Angel Herraez, Lynmarie K Thompson, Eric Martz