## Rotational Angle of Alpha Helix Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rotation Angle per Residue = acos((1-(4*cos(((Dihedral angles around negative 65°+Dihedral Angles around negative 45°)/2)^2)))/3)
Ω = acos((1-(4*cos(((φ+ψ)/2)^2)))/3)
This formula uses 2 Functions, 3 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
acos - Inverse trigonometric cosine function, acos(Number)
Variables Used
Rotation Angle per Residue - (Measured in Radian) - Rotation angle per residue is rotation angle Ω per residue of any polypeptide helix with trans isomers.
Dihedral angles around negative 65° - (Measured in Radian) - Dihedral angles around negative 65° is residues in α-helices typically adopt backbone dihedral angles around (-65)°.
Dihedral Angles around negative 45° - (Measured in Radian) - Dihedral Angles around negative 45° is residues in α-helices typically adopt backbone dihedral angles around -45°.
STEP 1: Convert Input(s) to Base Unit
Dihedral angles around negative 65°: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Dihedral Angles around negative 45°: 35 Degree --> 0.610865238197901 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ω = acos((1-(4*cos(((φ+ψ)/2)^2)))/3) --> acos((1-(4*cos(((0.785398163397301+0.610865238197901)/2)^2)))/3)
Evaluating ... ...
Ω = 2.57688590649503
STEP 3: Convert Result to Output's Unit
2.57688590649503 Radian -->147.644686728936 Degree (Check conversion here)
147.644686728936 Degree <-- Rotation Angle per Residue
(Calculation completed in 00.014 seconds)
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## Credits

Created by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
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## Rotational Angle of Alpha Helix Formula

Rotation Angle per Residue = acos((1-(4*cos(((Dihedral angles around negative 65°+Dihedral Angles around negative 45°)/2)^2)))/3)
Ω = acos((1-(4*cos(((φ+ψ)/2)^2)))/3)

## What is alpha helix?

The alpha helix (α-helix) is a common motif in the secondary structure of proteins and is a right hand-helix conformation in which every backbone N−H group hydrogen bonds to the backbone C=O group of the amino acid located four residues earlier along the protein sequence.

## How to Calculate Rotational Angle of Alpha Helix?

Rotational Angle of Alpha Helix calculator uses Rotation Angle per Residue = acos((1-(4*cos(((Dihedral angles around negative 65°+Dihedral Angles around negative 45°)/2)^2)))/3) to calculate the Rotation Angle per Residue, The Rotational Angle of Alpha Helix formula is defined as the general formula for the rotation angle Ω per residue of any polypeptide helix with trans isomers is given by the equation. Rotation Angle per Residue is denoted by Ω symbol.

How to calculate Rotational Angle of Alpha Helix using this online calculator? To use this online calculator for Rotational Angle of Alpha Helix, enter Dihedral angles around negative 65° (φ) & Dihedral Angles around negative 45° (ψ) and hit the calculate button. Here is how the Rotational Angle of Alpha Helix calculation can be explained with given input values -> 147.6447 = acos((1-(4*cos(((0.785398163397301+0.610865238197901)/2)^2)))/3).

### FAQ

What is Rotational Angle of Alpha Helix?
The Rotational Angle of Alpha Helix formula is defined as the general formula for the rotation angle Ω per residue of any polypeptide helix with trans isomers is given by the equation and is represented as Ω = acos((1-(4*cos(((φ+ψ)/2)^2)))/3) or Rotation Angle per Residue = acos((1-(4*cos(((Dihedral angles around negative 65°+Dihedral Angles around negative 45°)/2)^2)))/3). Dihedral angles around negative 65° is residues in α-helices typically adopt backbone dihedral angles around (-65)° & Dihedral Angles around negative 45° is residues in α-helices typically adopt backbone dihedral angles around -45°.
How to calculate Rotational Angle of Alpha Helix?
The Rotational Angle of Alpha Helix formula is defined as the general formula for the rotation angle Ω per residue of any polypeptide helix with trans isomers is given by the equation is calculated using Rotation Angle per Residue = acos((1-(4*cos(((Dihedral angles around negative 65°+Dihedral Angles around negative 45°)/2)^2)))/3). To calculate Rotational Angle of Alpha Helix, you need Dihedral angles around negative 65° (φ) & Dihedral Angles around negative 45° (ψ). With our tool, you need to enter the respective value for Dihedral angles around negative 65° & Dihedral Angles around negative 45° and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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