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Bond Length of Diatomic Molecule in Rotational Spectrum Formula

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Bond Length of Diatomic Molecule is the distance between center of two molecules(or two masses). Check FAQs

L bond_d = \sqrt{\frac{[hP]}{8 \cdot (π^{2}) \cdot [c] \cdot B~ \cdot μ}}

L_{bond_d} - Bond Length of Diatomic Molecule?B~ - Wave Number in Spectroscopy?μ - Reduced Mass?[hP] - Planck constant?[c] - Light speed in vacuum?π - Archimedes' constant?

Bond Length of Diatomic Molecule in Rotational Spectrum Example

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Here is how the Bond Length of Diatomic Molecule in Rotational Spectrum equation looks like with Values.

Here is how the Bond Length of Diatomic Molecule in Rotational Spectrum equation looks like with Units.

Here is how the Bond Length of Diatomic Molecule in Rotational Spectrum equation looks like.

1.2E-22 = \sqrt{\frac{6.6E-34}{8 \cdot ({3.1416}^{2}) \cdot 3E+8 \cdot 2500 \cdot 8}}

1.2E-22cm = \sqrt{\frac{6.6E-34}{8 \cdot ({3.1416}^{2}) \cdot 3E+8m/s \cdot 25001/m \cdot 8kg}}

1.2E-22 = \sqrt{\frac{6.6E-34}{8 \cdot ({3.1416}^{2}) \cdot 3E+8 \cdot 2500 \cdot 8}}

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Bond Length of Diatomic Molecule in Rotational Spectrum Solution

Follow our step by step solution on how to calculate Bond Length of Diatomic Molecule in Rotational Spectrum?

FIRST Step Consider the formula

L bond_d = \sqrt{\frac{[hP]}{8 \cdot (π^{2}) \cdot [c] \cdot B~ \cdot μ}}

Next Step Substitute values of Variables

∴

L bond_d = \sqrt{\frac{[hP]}{8 \cdot (π^{2}) \cdot [c] \cdot 25001/m \cdot 8kg}}

Next Step Substitute values of Constants

∴

L bond_d = \sqrt{\frac{6.6E-34}{8 \cdot ({3.1416}^{2}) \cdot 3E+8m/s \cdot 25001/m \cdot 8kg}}

Next Step Convert Units

∴

L bond_d = \sqrt{\frac{6.6E-34}{8 \cdot ({3.1416}^{2}) \cdot 3E+8m/s \cdot 2500Diopter \cdot 8kg}}

Next Step Prepare to Evaluate

∴

L bond_d = \sqrt{\frac{6.6E-34}{8 \cdot ({3.1416}^{2}) \cdot 3E+8 \cdot 2500 \cdot 8}}

Next Step Evaluate

∴

L bond_d = 1.18306279161896E-24m

Next Step Convert to Output's Unit

∴

L bond_d = 1.18306279161896E-22cm

LAST Step Rounding Answer

∴

L bond_d = 1.2E-22cm

Bond Length of Diatomic Molecule in Rotational Spectrum Formula Elements

Variables

Constants

Functions

Bond Length of Diatomic Molecule

Bond Length of Diatomic Molecule is the distance between center of two molecules(or two masses).

Symbol: L_{bond_d}

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Bond Length of Diatomic Molecule

Wave Number in Spectroscopy

Wave Number in Spectroscopy, it is customary to represent energy in wavenumbers.

Symbol: B~

Measurement: Wave NumberUnit: 1/m

Note: Value can be positive or negative.

Formulas to find Wave Number in Spectroscopy

Reduced Mass

The Reduced Mass is the "effective" inertial mass appearing in the two-body problem. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem.

Symbol: μ

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Reduced Mass

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Bond Length category

Go Bond Length

L bond = R 1 + R 2

Go Bond Length given Masses and Radius 1

L bond1 = (m 1 + m 2) \cdot \frac{R 1}{m 2}

Go Bond Length given Masses and Radius 2

L bond = R 2 \cdot \frac{m 1 + m 2}{m 1}

Go Bond Length given Moment of Inertia

L bond2 = \sqrt{I \cdot (\frac{m 1 + m 2}{m 1 \cdot m 2})}

How to Evaluate Bond Length of Diatomic Molecule in Rotational Spectrum?

Bond Length of Diatomic Molecule in Rotational Spectrum evaluator uses Bond Length of Diatomic Molecule = sqrt([hP]/(8*(pi^2)*[c]*Wave Number in Spectroscopy*Reduced Mass)) to evaluate the Bond Length of Diatomic Molecule, The Bond length of diatomic molecule in rotational spectrum formula is defined as contrasts vibrational spectra which have only one fundamental peak for each vibrational mode. From the rotational spectrum of a diatomic molecule the bond length can be determined. Because B~ is a function of I and therefore a function of l (bond length). Bond Length of Diatomic Molecule is denoted by L_{bond_d} symbol.

How to evaluate Bond Length of Diatomic Molecule in Rotational Spectrum using this online evaluator? To use this online evaluator for Bond Length of Diatomic Molecule in Rotational Spectrum, enter Wave Number in Spectroscopy (B~) & Reduced Mass (μ) and hit the calculate button.

FAQs on Bond Length of Diatomic Molecule in Rotational Spectrum

What is the formula to find Bond Length of Diatomic Molecule in Rotational Spectrum?

The formula of Bond Length of Diatomic Molecule in Rotational Spectrum is expressed as Bond Length of Diatomic Molecule = sqrt([hP]/(8*(pi^2)*[c]*Wave Number in Spectroscopy*Reduced Mass)). Here is an example- 1.2E-20 = sqrt([hP]/(8*(pi^2)*[c]*2500*8)).

How to calculate Bond Length of Diatomic Molecule in Rotational Spectrum?

With Wave Number in Spectroscopy (B~) & Reduced Mass (μ) we can find Bond Length of Diatomic Molecule in Rotational Spectrum using the formula - Bond Length of Diatomic Molecule = sqrt([hP]/(8*(pi^2)*[c]*Wave Number in Spectroscopy*Reduced Mass)). This formula also uses Planck constant, Light speed in vacuum, Archimedes' constant and Square Root (sqrt) function(s).

Can the Bond Length of Diatomic Molecule in Rotational Spectrum be negative?

Yes, the Bond Length of Diatomic Molecule in Rotational Spectrum, measured in Length can be negative.

Which unit is used to measure Bond Length of Diatomic Molecule in Rotational Spectrum?

Bond Length of Diatomic Molecule in Rotational Spectrum is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Bond Length of Diatomic Molecule in Rotational Spectrum can be measured.

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