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Rydberg Constant given Compton Wavelength Formula

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Rydberg Constant is a wave number characteristic of the atomic spectrum of each element equal to the constant factor in the wave-number formula for all the spectral series of the elements. Check FAQs

R = \frac{{(α)}^{2}}{2 \cdot λ c}

R - Rydberg Constant?α - Fine-Structure Constant?λ_c - Compton Wavelength?

Rydberg Constant given Compton Wavelength Example

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Here is how the Rydberg Constant given Compton Wavelength equation looks like with Values.

Here is how the Rydberg Constant given Compton Wavelength equation looks like with Units.

Here is how the Rydberg Constant given Compton Wavelength equation looks like.

1.1E-7 = \frac{{(0.0073)}^{2}}{2 \cdot 2.42}

1.1E-7cm⁻¹ = \frac{{(0.0073)}^{2}}{2 \cdot 2.42m}

1.1E-7 = \frac{{(0.0073)}^{2}}{2 \cdot 2.42}

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Rydberg Constant given Compton Wavelength Solution

Follow our step by step solution on how to calculate Rydberg Constant given Compton Wavelength?

FIRST Step Consider the formula

R = \frac{{(α)}^{2}}{2 \cdot λ c}

Next Step Substitute values of Variables

∴

R = \frac{{(0.0073)}^{2}}{2 \cdot 2.42m}

Next Step Prepare to Evaluate

∴

R = \frac{{(0.0073)}^{2}}{2 \cdot 2.42}

Next Step Evaluate

∴

R = 1.10012828512397E-05m⁻¹

Next Step Convert to Output's Unit

∴

R = 1.10012828512397E-07cm⁻¹

LAST Step Rounding Answer

∴

R = 1.1E-7cm⁻¹

Rydberg Constant given Compton Wavelength Formula Elements

Variables

Rydberg Constant

Rydberg Constant is a wave number characteristic of the atomic spectrum of each element equal to the constant factor in the wave-number formula for all the spectral series of the elements.

Symbol: R

Measurement: Reciprocal LengthUnit: cm⁻¹

Note: Value should be greater than 0.

Formulas to find Rydberg Constant

Fine-Structure Constant

Fine-Structure Constant is a fundamental physical constant that quantifies the strength of the electromagnetic interaction between elementary charged particles.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Fine-Structure Constant

Compton Wavelength

Compton Wavelength is a quantum mechanical property of a particle.

Symbol: λ_c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Compton Wavelength

Other formulas in Electronic Spectroscopy category

Go Eigenvalue of Energy given Angular Momentum Quantum Number

E = \frac{l \cdot (l + 1) \cdot {([hP])}^{2}}{2 \cdot I}

Go Binding Energy of Photoelectron

E binding = ([hP] \cdot ν) - E kinetic - Φ

Go Frequency of Absorbed Radiation

ν mn = \frac{E m - E n}{[hP]}

Go Coherence Length of Wave

l C = \frac{{(λ wave)}^{2}}{2 \cdot Δλ}

How to Evaluate Rydberg Constant given Compton Wavelength?

Rydberg Constant given Compton Wavelength evaluator uses Rydberg Constant = (Fine-Structure Constant)^2/(2*Compton Wavelength) to evaluate the Rydberg Constant, The Rydberg Constant Given Compton Wavelength is a fundamental constant describing the wavelengths or frequencies of light in various series of related spectral lines of an atom. Rydberg Constant is denoted by R symbol.

How to evaluate Rydberg Constant given Compton Wavelength using this online evaluator? To use this online evaluator for Rydberg Constant given Compton Wavelength, enter Fine-Structure Constant (α) & Compton Wavelength (λ_c) and hit the calculate button.

FAQs on Rydberg Constant given Compton Wavelength

What is the formula to find Rydberg Constant given Compton Wavelength?

The formula of Rydberg Constant given Compton Wavelength is expressed as Rydberg Constant = (Fine-Structure Constant)^2/(2*Compton Wavelength). Here is an example- 1.1E-9 = (0.007297)^2/(2*2.42).

How to calculate Rydberg Constant given Compton Wavelength?

With Fine-Structure Constant (α) & Compton Wavelength (λ_c) we can find Rydberg Constant given Compton Wavelength using the formula - Rydberg Constant = (Fine-Structure Constant)^2/(2*Compton Wavelength).

Can the Rydberg Constant given Compton Wavelength be negative?

No, the Rydberg Constant given Compton Wavelength, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Rydberg Constant given Compton Wavelength?

Rydberg Constant given Compton Wavelength is usually measured using the 1 per Centimeter[cm⁻¹] for Reciprocal Length. 1 per Meter[cm⁻¹], 1 per Kilometer[cm⁻¹], 1 per Mile[cm⁻¹] are the few other units in which Rydberg Constant given Compton Wavelength can be measured.

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