Distance between Surfaces given Center-to-Center Distance Calculator

✖Center-to-center Distance is a concept for distances, also called on-center spacing, z = R1 + R2 + r.ⓘ Center-to-center Distance [z]			+10% -10%
✖Radius of Spherical Body 1 represented as R1.ⓘ Radius of Spherical Body 1 [R₁]			+10% -10%
✖Radius of Spherical Body 2 represented as R1.ⓘ Radius of Spherical Body 2 [R₂]			+10% -10%

✖Distance between surfaces is the length of the line segment between the 2 surfaces.ⓘ Distance between Surfaces given Center-to-Center Distance [r]

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Distance between Surfaces given Center-to-Center Distance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance Between Surfaces = Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2
r = z-R₁-R₂
This formula uses 4 Variables

Variables Used

Distance Between Surfaces - (Measured in Meter) - Distance between surfaces is the length of the line segment between the 2 surfaces.
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.

STEP 1: Convert Input(s) to Base Unit

Center-to-center Distance: 40 Angstrom --> 4E-09 Meter (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = z-R₁-R₂ --> 4E-09-1.2E-09-1.5E-09

Evaluating ... ...

r = 1.3E-09

STEP 3: Convert Result to Output's Unit

1.3E-09 Meter -->13 Angstrom (Check conversion here)

FINAL ANSWER

13 Angstrom <-- Distance Between Surfaces

(Calculation completed in 00.004 seconds)

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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)

Distance between Surfaces given Center-to-Center Distance Formula

LaTeX Go

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

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 Distance between Surfaces given Center-to-Center Distance?

Distance between Surfaces given Center-to-Center Distance calculator uses Distance Between Surfaces = Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2 to calculate the Distance Between Surfaces, The Distance between surfaces given Center-to-center distance is the length of the line segment between the 2 surfaces. Distance Between Surfaces is denoted by r symbol.

How to calculate Distance between Surfaces given Center-to-Center Distance using this online calculator? To use this online calculator for Distance between Surfaces given Center-to-Center Distance, enter Center-to-center Distance (z), Radius of Spherical Body 1 (R₁) & Radius of Spherical Body 2 (R₂) and hit the calculate button. Here is how the Distance between Surfaces given Center-to-Center Distance calculation can be explained with given input values -> 1.3E+11 = 4E-09-1.2E-09-1.5E-09.

FAQ

What is Distance between Surfaces given Center-to-Center Distance?

The Distance between surfaces given Center-to-center distance is the length of the line segment between the 2 surfaces and is represented as r = z-R₁-R₂ or Distance Between Surfaces = Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2. Center-to-center Distance is a concept for distances, also called on-center spacing, z = R1 + R2 + r, Radius of Spherical Body 1 represented as R1 & Radius of Spherical Body 2 represented as R1.

How to calculate Distance between Surfaces given Center-to-Center Distance?

The Distance between surfaces given Center-to-center distance is the length of the line segment between the 2 surfaces is calculated using Distance Between Surfaces = Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2. To calculate Distance between Surfaces given Center-to-Center Distance, you need Center-to-center Distance (z), Radius of Spherical Body 1 (R₁) & Radius of Spherical Body 2 (R₂). With our tool, you need to enter the respective value for Center-to-center Distance, Radius of Spherical Body 1 & Radius of Spherical Body 2 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 Distance Between Surfaces?

In this formula, Distance Between Surfaces uses Center-to-center Distance, Radius of Spherical Body 1 & Radius of Spherical Body 2. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)
Distance Between Surfaces = sqrt((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))
Distance Between Surfaces = ((0-Coefficient of Particle–Particle Pair Interaction)/Van der Waals pair potential)^(1/6)

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