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)
FINAL ANSWER
147.644686728936 Degree <-- Rotation Angle per Residue
(Calculation completed in 00.014 seconds)

Credits

Created by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
Soupayan banerjee has created this Calculator and 200+ more calculators!
Verified by Prerana Bakli
National Institute of Technology (NIT), Meghalaya
Prerana Bakli has verified this Calculator and 1000+ more calculators!

10+ Microbiology Calculators

Narrow Heritability using Breeder's equation
Narrow Sense Heritability = var(Additive Genetic of (Aa) Allele,Additive Genetic of Allele (AA),Additive Genetic of (aa) Allele)/var(Phenotype of (aa) Allele,Phenotype of (AA) Allele,Phenotype of (Aa) Allele) Go
Broad Heritability using Breeder's Equation
Broad Sense Heritability = var(Genotype of (Aa) Allele,Genotype of (aa) Allele,Genotype of (AA) Allele)/var(Phenotype of (aa) Allele,Phenotype of (AA) Allele,Phenotype of (Aa) Allele) Go
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
Temperature Coefficient of Resistance of RTD
Temperature Coefficient of Resistance = (Resistance of RTD at 100-Resistance of RTD at 0)/(Resistance of RTD at 0*100) Go
Hardy-Weinberg Equilibrium Equation for Predicted Frequency of Heterozygous (Aa) Type
Predicted Frequency of Heterozygous people = 1-(Predicted Frequency of Homozygous Dominant^2)-(Predicted Frequency of Homozygous Recessive^2) Go
Hardy Weinberg Equation for Predicted Frequency of Homozygous Dominant (AA) Type
Predicted Frequency of Homozygous Dominant = 1-(Predicted Frequency of Heterozygous people)-(Predicted Frequency of Homozygous Recessive) Go
Wall tension of Vessel using Young-Laplace Equation
Hoop Stress = (Blood Pressure*Inner Radius of Cylinder)/Wall Thickness Go
Solute Potential of Cell given Water and Pressure Potential
Solute Potential = Water Potential-Pressure Potential Go
Pressure Potential of Cell given Water and Solute Potential
Pressure Potential = Water Potential-Solute Potential Go
Approximate Water Potential of Cell
Water Potential = Solute Potential+Pressure Potential Go

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.
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!