Rydberg Constant given Compton Wavelength Calculator

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✖Fine-Structure Constant is a fundamental physical constant that quantifies the strength of the electromagnetic interaction between elementary charged particles.ⓘ Fine-Structure Constant [α]			+10% -10%
✖Compton Wavelength is a quantum mechanical property of a particle.ⓘ Compton Wavelength [λ_c]			+10% -10%

✖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.ⓘ Rydberg Constant given Compton Wavelength [R]

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Formula

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Rydberg Constant given Compton Wavelength

Formula

`"R" = ("α")^2/(2*"λ"_{"c"})`

Example

`"1.1E^-7cm⁻¹"=("7.297E^-3")^2/(2*"2.42m")`

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Rydberg Constant given Compton Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rydberg Constant = (Fine-Structure Constant)^2/(2*Compton Wavelength)
R = (α)^2/(2*λ_c)
This formula uses 3 Variables

Variables Used

Rydberg Constant - (Measured in 1 per Meter) - 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.
Fine-Structure Constant - Fine-Structure Constant is a fundamental physical constant that quantifies the strength of the electromagnetic interaction between elementary charged particles.
Compton Wavelength - (Measured in Meter) - Compton Wavelength is a quantum mechanical property of a particle.

STEP 1: Convert Input(s) to Base Unit

Fine-Structure Constant: 0.007297 --> No Conversion Required
Compton Wavelength: 2.42 Meter --> 2.42 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (α)^2/(2*λ_c) --> (0.007297)^2/(2*2.42)

Evaluating ... ...

R = 1.10012828512397E-05

STEP 3: Convert Result to Output's Unit

1.10012828512397E-05 1 per Meter -->1.10012828512397E-07 1 per Centimeter (Check conversion here)

FINAL ANSWER

1.10012828512397E-07 ≈ 1.1E-7 1 per Centimeter <-- Rydberg Constant

(Calculation completed in 00.004 seconds)

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Go Rydberg Constant = (Fine-Structure Constant)^2/(2*Compton Wavelength)

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Rydberg Constant given Compton Wavelength Formula

Rydberg Constant = (Fine-Structure Constant)^2/(2*Compton Wavelength)
R = (α)^2/(2*λ_c)

What is Bohr Model?

The Bohr model is a relatively primitive model of the hydrogen atom, compared to the valence shell atom model. As a theory, it can be derived as a first-order approximation of the hydrogen atom using the broader and much more accurate quantum mechanics and thus may be considered to be an obsolete scientific theory.

How to Calculate Rydberg Constant given Compton Wavelength?

Rydberg Constant given Compton Wavelength calculator uses Rydberg Constant = (Fine-Structure Constant)^2/(2*Compton Wavelength) to calculate 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 calculate Rydberg Constant given Compton Wavelength using this online calculator? To use this online calculator for Rydberg Constant given Compton Wavelength, enter Fine-Structure Constant (α) & Compton Wavelength (λ_c) and hit the calculate button. Here is how the Rydberg Constant given Compton Wavelength calculation can be explained with given input values -> 1.1E-9 = (0.007297)^2/(2*2.42).

FAQ

What is Rydberg Constant given Compton Wavelength?

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 and is represented as R = (α)^2/(2*λ_c) or Rydberg Constant = (Fine-Structure Constant)^2/(2*Compton Wavelength). Fine-Structure Constant is a fundamental physical constant that quantifies the strength of the electromagnetic interaction between elementary charged particles & Compton Wavelength is a quantum mechanical property of a particle.

How to calculate Rydberg Constant given Compton Wavelength?

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 is calculated using Rydberg Constant = (Fine-Structure Constant)^2/(2*Compton Wavelength). To calculate Rydberg Constant given Compton Wavelength, you need Fine-Structure Constant (α) & Compton Wavelength (λ_c). With our tool, you need to enter the respective value for Fine-Structure Constant & Compton Wavelength 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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