Bond Length given Masses and Radius 1 Calculator

✖Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.ⓘ Mass 1 [m₁]			+10% -10%
✖Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.ⓘ Mass 2 [m₂]			+10% -10%
✖Radius of mass 1 is a distance of mass 1 from the center of mass.ⓘ Radius of Mass 1 [R₁]			+10% -10%

✖Bond Length given Masses and Radius 1 in a diatomic molecule is the distance between center of two molecules(or two masses).ⓘ Bond Length given Masses and Radius 1 [L_bond1]

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Formula

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Bond Length given Masses and Radius 1

Formula

`"L"_{"bond1"} = ("m"_{"1"}+"m"_{"2"})*"R"_{"1"}/"m"_{"2"}`

Example

`"2.8125cm"=("14kg"+"16kg")*"1.5cm"/"16kg"`

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Bond Length given Masses and Radius 1 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bond Length given Masses and Radius 1 = (Mass 1+Mass 2)*Radius of Mass 1/Mass 2
L_bond1 = (m₁+m₂)*R₁/m₂
This formula uses 4 Variables

Variables Used

Bond Length given Masses and Radius 1 - (Measured in Meter) - Bond Length given Masses and Radius 1 in a diatomic molecule is the distance between center of two molecules(or two masses).
Mass 1 - (Measured in Kilogram) - Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.
Mass 2 - (Measured in Kilogram) - Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it.
Radius of Mass 1 - (Measured in Meter) - Radius of mass 1 is a distance of mass 1 from the center of mass.

STEP 1: Convert Input(s) to Base Unit

Mass 1: 14 Kilogram --> 14 Kilogram No Conversion Required
Mass 2: 16 Kilogram --> 16 Kilogram No Conversion Required
Radius of Mass 1: 1.5 Centimeter --> 0.015 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_bond1 = (m₁+m₂)*R₁/m₂ --> (14+16)*0.015/16

Evaluating ... ...

L_bond1 = 0.028125

STEP 3: Convert Result to Output's Unit

0.028125 Meter -->2.8125 Centimeter (Check conversion here)

FINAL ANSWER

2.8125 Centimeter <-- Bond Length given Masses and Radius 1

(Calculation completed in 00.004 seconds)

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Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

Nishant Sihag has created this Calculator and 50+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< 8 Bond Length Calculators

Bond Length given Moment of Inertia

Go Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia*((Mass 1+Mass 2)/(Mass 1*Mass 2)))

Bond Length of Diatomic Molecule in Rotational Spectrum

Go Bond Length of Diatomic Molecule = sqrt([hP]/(8*(pi^2)*[c]*Wave Number in Spectroscopy*Reduced Mass))

Bond Length given Masses and Radius 1

Go Bond Length given Masses and Radius 1 = (Mass 1+Mass 2)*Radius of Mass 1/Mass 2

Bond Length given Masses and Radius 2

Go Bond Length = Radius of Mass 2*(Mass 1+Mass 2)/Mass 1

Bond Length given Reduced Mass

Go Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia/Reduced Mass)

Radius 1 of Rotation given Bond Length

Go Radius of Mass 1 = Bond Length-Radius of Mass 2

Radius 2 of Rotation given Bond Length

Go Radius of Mass 2 = Bond Length-Radius of Mass 1

Bond Length

Go Bond Length = Radius of Mass 1+Radius of Mass 2

< 8 Bond length Calculators

Bond Length given Moment of Inertia

Go Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia*((Mass 1+Mass 2)/(Mass 1*Mass 2)))

Bond Length of Diatomic Molecule in Rotational Spectrum

Go Bond Length of Diatomic Molecule = sqrt([hP]/(8*(pi^2)*[c]*Wave Number in Spectroscopy*Reduced Mass))

Bond Length given Masses and Radius 1

Go Bond Length given Masses and Radius 1 = (Mass 1+Mass 2)*Radius of Mass 1/Mass 2

Bond Length given Masses and Radius 2

Go Bond Length = Radius of Mass 2*(Mass 1+Mass 2)/Mass 1

Bond Length given Reduced Mass

Go Bond Length given Moment of Inertia2 = sqrt(Moment of Inertia/Reduced Mass)

Radius 1 of Rotation given Bond Length

Go Radius of Mass 1 = Bond Length-Radius of Mass 2

Radius 2 of Rotation given Bond Length

Go Radius of Mass 2 = Bond Length-Radius of Mass 1

Bond Length

Go Bond Length = Radius of Mass 1+Radius of Mass 2

Bond Length given Masses and Radius 1 Formula

Bond Length given Masses and Radius 1 = (Mass 1+Mass 2)*Radius of Mass 1/Mass 2
L_bond1 = (m₁+m₂)*R₁/m₂

How do we get Bond length in terms of masses and radius 1 ?

Using the concept of reduced mass (M1*R1=M2*R2) and bond length is a sum of both radii (L= R1+ R2). Through simple algebra, the radius can be found in terms of masses and bond length. That is, radius 1 of rotation is mass fraction of body 2 times bond length.
So by this, we obtained relation of bond length as radius 1 divided by mass fraction of body 2.

How to Calculate Bond Length given Masses and Radius 1?

Bond Length given Masses and Radius 1 calculator uses Bond Length given Masses and Radius 1 = (Mass 1+Mass 2)*Radius of Mass 1/Mass 2 to calculate the Bond Length given Masses and Radius 1, The Bond length given masses and radius 1 formula is defined as distance between two bodies in a diatomic molecule in terms of radius and masses. As radius of 1 is equal to bond length times mass fraction of 2 (i.e. M2/(M1+M2) ). So by that relation bond length can be calculated. Bond Length given Masses and Radius 1 is denoted by L_bond1 symbol.

How to calculate Bond Length given Masses and Radius 1 using this online calculator? To use this online calculator for Bond Length given Masses and Radius 1, enter Mass 1 (m₁), Mass 2 (m₂) & Radius of Mass 1 (R₁) and hit the calculate button. Here is how the Bond Length given Masses and Radius 1 calculation can be explained with given input values -> 281.25 = (14+16)*0.015/16.

FAQ

What is Bond Length given Masses and Radius 1?

The Bond length given masses and radius 1 formula is defined as distance between two bodies in a diatomic molecule in terms of radius and masses. As radius of 1 is equal to bond length times mass fraction of 2 (i.e. M2/(M1+M2) ). So by that relation bond length can be calculated and is represented as L_bond1 = (m₁+m₂)*R₁/m₂ or Bond Length given Masses and Radius 1 = (Mass 1+Mass 2)*Radius of Mass 1/Mass 2. Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it, Mass 2 is the quantity of matter in a body 2 regardless of its volume or of any forces acting on it & Radius of mass 1 is a distance of mass 1 from the center of mass.

How to calculate Bond Length given Masses and Radius 1?

The Bond length given masses and radius 1 formula is defined as distance between two bodies in a diatomic molecule in terms of radius and masses. As radius of 1 is equal to bond length times mass fraction of 2 (i.e. M2/(M1+M2) ). So by that relation bond length can be calculated is calculated using Bond Length given Masses and Radius 1 = (Mass 1+Mass 2)*Radius of Mass 1/Mass 2. To calculate Bond Length given Masses and Radius 1, you need Mass 1 (m₁), Mass 2 (m₂) & Radius of Mass 1 (R₁). With our tool, you need to enter the respective value for Mass 1, Mass 2 & Radius of Mass 1 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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