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Rotational Constant using Wave number Formula

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Rotational Constant given Wave Number is defined for relating in energy and Rotational energy levels in diatomic molecules. Check FAQs

B wave_no = B~ \cdot [hP] \cdot [c]

B_{wave_no} - Rotational Constant given Wave Number?B~ - Wave Number in Spectroscopy?[hP] - Planck constant?[c] - Light speed in vacuum?

Rotational Constant using Wave number Example

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Here is how the Rotational Constant using Wave number equation looks like with Values.

Here is how the Rotational Constant using Wave number equation looks like with Units.

Here is how the Rotational Constant using Wave number equation looks like.

5E-22 = 2500 \cdot 6.6E-34 \cdot 3E+8

5E-22m⁻¹ = 25001/m \cdot 6.6E-34 \cdot 3E+8m/s

5E-22 = 2500 \cdot 6.6E-34 \cdot 3E+8

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Rotational Constant using Wave number Solution

Follow our step by step solution on how to calculate Rotational Constant using Wave number?

FIRST Step Consider the formula

B wave_no = B~ \cdot [hP] \cdot [c]

Next Step Substitute values of Variables

∴

B wave_no = 25001/m \cdot [hP] \cdot [c]

Next Step Substitute values of Constants

∴

B wave_no = 25001/m \cdot 6.6E-34 \cdot 3E+8m/s

Next Step Convert Units

∴

B wave_no = 2500Diopter \cdot 6.6E-34 \cdot 3E+8m/s

Next Step Prepare to Evaluate

∴

B wave_no = 2500 \cdot 6.6E-34 \cdot 3E+8

Next Step Evaluate

∴

B wave_no = 4.9661145604294E-22m⁻¹

LAST Step Rounding Answer

∴

B wave_no = 5E-22m⁻¹

Rotational Constant using Wave number Formula Elements

Variables

Constants

Rotational Constant given Wave Number

Rotational Constant given Wave Number is defined for relating in energy and Rotational energy levels in diatomic molecules.

Symbol: B_{wave_no}

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value can be positive or negative.

Formulas to find Rotational Constant given Wave Number

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

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

Other formulas in Rotational Energy category

Go Beta using Rotational Level

β levels = J \cdot (J + 1)

Go Beta using Rotational Energy

β energy = 2 \cdot I \cdot \frac{E rot}{{[h-]}^{2}}

Go Centrifugal Distortion Constant using Rotational Energy

DC j = \frac{E rot - (B \cdot J \cdot (J + 1))}{J^{2}} \cdot ({(J + 1)}^{2})

Go Energy of Rotational Transitions between Rotational Levels

E RL = 2 \cdot B \cdot (J + 1)

How to Evaluate Rotational Constant using Wave number?

Rotational Constant using Wave number evaluator uses Rotational Constant given Wave Number = Wave Number in Spectroscopy*[hP]*[c] to evaluate the Rotational Constant given Wave Number, The Rotational Constant using Wave number formula is defined for relating in energy and Rotational energy levels in diatomic molecules. It is inversely proportional to moment of inertia.In spectroscopy rotational energy is represented in wave numbers. Rotational Constant given Wave Number is denoted by B_{wave_no} symbol.

How to evaluate Rotational Constant using Wave number using this online evaluator? To use this online evaluator for Rotational Constant using Wave number, enter Wave Number in Spectroscopy (B~) and hit the calculate button.

FAQs on Rotational Constant using Wave number

What is the formula to find Rotational Constant using Wave number?

The formula of Rotational Constant using Wave number is expressed as Rotational Constant given Wave Number = Wave Number in Spectroscopy*[hP]*[c]. Here is an example- 5E-22 = 2500*[hP]*[c].

How to calculate Rotational Constant using Wave number?

With Wave Number in Spectroscopy (B~) we can find Rotational Constant using Wave number using the formula - Rotational Constant given Wave Number = Wave Number in Spectroscopy*[hP]*[c]. This formula also uses Planck constant, Light speed in vacuum constant(s).

Can the Rotational Constant using Wave number be negative?

Yes, the Rotational Constant using Wave number, measured in Reciprocal Length can be negative.

Which unit is used to measure Rotational Constant using Wave number?

Rotational Constant using Wave number is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Rotational Constant using Wave number can be measured.

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