Center-to-Center Distance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Center-to-center Distance = Radius of Spherical Body 1+Radius of Spherical Body 2+Distance Between Surfaces
z = R1+R2+r
This formula uses 4 Variables
Variables Used
Center-to-center Distance - (Measured in Meter) - Center-to-center Distance is a concept for distances, also called on-center spacing, z = R1 + R2 + r.
Radius of Spherical Body 1 - (Measured in Meter) - Radius of Spherical Body 1 represented as R1.
Radius of Spherical Body 2 - (Measured in Meter) - Radius of Spherical Body 2 represented as R1.
Distance Between Surfaces - (Measured in Meter) - Distance between surfaces is the length of the line segment between the 2 surfaces.
STEP 1: Convert Input(s) to Base Unit
Radius of Spherical Body 1: 12 Angstrom --> 1.2E-09 Meter (Check conversion ​here)
Radius of Spherical Body 2: 15 Angstrom --> 1.5E-09 Meter (Check conversion ​here)
Distance Between Surfaces: 10 Angstrom --> 1E-09 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
z = R1+R2+r --> 1.2E-09+1.5E-09+1E-09
Evaluating ... ...
z = 3.7E-09
STEP 3: Convert Result to Output's Unit
3.7E-09 Meter -->37 Angstrom (Check conversion ​here)
FINAL ANSWER
37 Angstrom <-- Center-to-center Distance
(Calculation completed in 00.020 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Van der Waals Force Calculators

Van der Waals Interaction Energy between Two Spherical Bodies
​ LaTeX ​ Go Van der Waals interaction energy = (-(Hamaker Coefficient/6))*(((2*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Center-to-center Distance^2)-((Radius of Spherical Body 1+Radius of Spherical Body 2)^2)))+((2*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Center-to-center Distance^2)-((Radius of Spherical Body 1-Radius of Spherical Body 2)^2)))+ln(((Center-to-center Distance^2)-((Radius of Spherical Body 1+Radius of Spherical Body 2)^2))/((Center-to-center Distance^2)-((Radius of Spherical Body 1-Radius of Spherical Body 2)^2))))
Potential Energy in Limit of Closest-Approach
​ LaTeX ​ Go Potential Energy In Limit = (-Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Distance Between Surfaces)
Distance between Surfaces given Potential Energy in Limit of Close-Approach
​ LaTeX ​ Go Distance Between Surfaces = (-Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Potential Energy)
Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach
​ LaTeX ​ Go Radius of Spherical Body 1 = 1/((-Hamaker Coefficient/(Potential Energy*6*Distance Between Surfaces))-(1/Radius of Spherical Body 2))

Important Formulae on Different Models of Real Gas Calculators

Temperature of Real Gas using Peng Robinson Equation
​ LaTeX ​ Go Temperature given CE = (Pressure+(((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))))*((Molar Volume-Peng–Robinson Parameter b)/[R])
Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters
​ LaTeX ​ Go Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b
Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters
​ LaTeX ​ Go Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters
​ LaTeX ​ Go Pressure given PRP = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a)

Center-to-Center Distance Formula

​LaTeX ​Go
Center-to-center Distance = Radius of Spherical Body 1+Radius of Spherical Body 2+Distance Between Surfaces
z = R1+R2+r

What are main characteristics of Van der Waals forces?

1) They are weaker than normal covalent and ionic bonds.
2) Van der Waals forces are additive and cannot be saturated.
3) They have no directional characteristic.
4) They are all short-range forces and hence only interactions between the nearest particles need to be considered (instead of all the particles). Van der Waals attraction is greater if the molecules are closer.
5) Van der Waals forces are independent of temperature except for dipole – dipole interactions.

How to Calculate Center-to-Center Distance?

Center-to-Center Distance calculator uses Center-to-center Distance = Radius of Spherical Body 1+Radius of Spherical Body 2+Distance Between Surfaces to calculate the Center-to-center Distance, The Center-to-center distance formula is a concept for distances, also called on-center spacing, z = R1 + R2 + r. Center-to-center Distance is denoted by z symbol.

How to calculate Center-to-Center Distance using this online calculator? To use this online calculator for Center-to-Center Distance, enter Radius of Spherical Body 1 (R1), Radius of Spherical Body 2 (R2) & Distance Between Surfaces (r) and hit the calculate button. Here is how the Center-to-Center Distance calculation can be explained with given input values -> 3.7E+11 = 1.2E-09+1.5E-09+1E-09.

FAQ

What is Center-to-Center Distance?
The Center-to-center distance formula is a concept for distances, also called on-center spacing, z = R1 + R2 + r and is represented as z = R1+R2+r or Center-to-center Distance = Radius of Spherical Body 1+Radius of Spherical Body 2+Distance Between Surfaces. Radius of Spherical Body 1 represented as R1, Radius of Spherical Body 2 represented as R1 & Distance between surfaces is the length of the line segment between the 2 surfaces.
How to calculate Center-to-Center Distance?
The Center-to-center distance formula is a concept for distances, also called on-center spacing, z = R1 + R2 + r is calculated using Center-to-center Distance = Radius of Spherical Body 1+Radius of Spherical Body 2+Distance Between Surfaces. To calculate Center-to-Center Distance, you need Radius of Spherical Body 1 (R1), Radius of Spherical Body 2 (R2) & Distance Between Surfaces (r). With our tool, you need to enter the respective value for Radius of Spherical Body 1, Radius of Spherical Body 2 & Distance Between Surfaces 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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