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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, 2 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
acos - Inverse trigonometric cosine function, acos(Number)
Variables Used
Dihedral angles around negative 65° - Dihedral angles around negative 65° is residues in α-helices typically adopt backbone dihedral angles around (-65)°. (Measured in Degree)
Dihedral angles around negative 45° - Dihedral angles around negative 45° is residues in α-helices typically adopt backbone dihedral angles around -45°. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Dihedral angles around negative 65°: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
Dihedral angles around negative 45°: 10 Degree --> 0.1745329251994 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(((0.1745329251994+0.1745329251994)/2)^2)))/3)
Evaluating ... ...
Ω = 3.10641801035319
STEP 3: Convert Result to Output's Unit
3.10641801035319 Radian -->177.984641396698 Degree (Check conversion here)
FINAL ANSWER
177.984641396698 Degree <-- Rotation angle per residue
(Calculation completed in 00.016 seconds)

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Rotational Angle of Alpha Helix
Rotation_angle_per_residue = acos((1-(4*cos(((Dihedral angles around negative 65°+Dihedral angles around negative 45°)/2)^2)))/3) Go
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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 -> 177.9846 = acos((1-(4*cos(((0.1745329251994+0.1745329251994)/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.
How many ways are there to calculate Rotation angle per residue?
In this formula, Rotation angle per residue uses Dihedral angles around negative 65° & Dihedral angles around negative 45°. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • generation_time = Time/No. of generation
  • no_of_generation = Time/Generation Time
  • growth_rate_constant = log2(No. of bacteria at Time t/Initial No. of Bacteria)/Time
  • hoop_stress = (Blood Pressure*Inner Radius of Cylinder)/Wall thickness
  • colony_forming_unit_per_ml = (No. of Colonies*Dilution Factor)/Volume of Culture Plate
  • temperature_coefficient_of_resistance = (Resistance of RTD at 100-Resistance of RTD at 0)/(Resistance of RTD at 0*100)
  • Rotation_angle_per_residue = acos((1-(4*cos(((Dihedral angles around negative 65°+Dihedral angles around negative 45°)/2)^2)))/3)
  • predicted_frequency_of_heterozygous_people = 1-(Predicted Frequency of Homozygous Dominant^2)-(Predicted Frequency of Homozygous Recessive^2)
  • Water_Potential = Solute Potential+Pressure Potential
  • volume_of_culture_plate = (No. of Colonies*Dilution Factor)/Colony Forming Unit per ml
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