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Wavelength of characteristic X-ray Calculator

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Electronegativity

✖Moseley Proportionality Constant is the empirical constant given according to conditions to find the frequency of characteristics X-rays.ⓘ Moseley Proportionality Constant [a]			+10% -10%
✖Atomic Number is the number of protons present inside the nucleus of an atom of an element.ⓘ Atomic Number [Z]			+10% -10%
✖The Shielding Constant is one of the empirical constants given according to conditions to find the frequency of characteristics of X-rays.ⓘ Shielding Constant [b]			+10% -10%

✖The Wavelength of X-ray can be defined as the distance between two successive crests or troughs of X-Ray.ⓘ Wavelength of characteristic X-ray [λ_X-ray]

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Formula

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Wavelength of characteristic X-ray

Formula

λ X-ray = \frac{[c]}{(a^{2}) \cdot ({(Z - b)}^{2})}

Example

6.2E+14 nm = \frac{[c]}{({11 Hz^(1/2)}^{2}) \cdot ({(17 - 15)}^{2})}

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Wavelength of characteristic X-ray Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength of X-ray = [c]/((Moseley Proportionality Constant^2)*((Atomic Number-Shielding Constant)^2))
λ_X-ray = [c]/((a^2)*((Z-b)^2))
This formula uses 1 Constants, 4 Variables

Constants Used

[c] - Light speed in vacuum Value Taken As 299792458.0

Variables Used

Wavelength of X-ray - (Measured in Meter) - The Wavelength of X-ray can be defined as the distance between two successive crests or troughs of X-Ray.
Moseley Proportionality Constant - (Measured in Sqrt(Hertz)) - Moseley Proportionality Constant is the empirical constant given according to conditions to find the frequency of characteristics X-rays.
Atomic Number - Atomic Number is the number of protons present inside the nucleus of an atom of an element.
Shielding Constant - The Shielding Constant is one of the empirical constants given according to conditions to find the frequency of characteristics of X-rays.

STEP 1: Convert Input(s) to Base Unit

Moseley Proportionality Constant: 11 Sqrt(Hertz) --> 11 Sqrt(Hertz) No Conversion Required
Atomic Number: 17 --> No Conversion Required
Shielding Constant: 15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_X-ray = [c]/((a^2)*((Z-b)^2)) --> [c]/((11^2)*((17-15)^2))

Evaluating ... ...

λ_X-ray = 619405.904958678

STEP 3: Convert Result to Output's Unit

619405.904958678 Meter -->619405904958678 Nanometer (Check conversion here)

FINAL ANSWER

619405904958678 ≈ 6.2E+14 Nanometer <-- Wavelength of X-ray

(Calculation completed in 00.004 seconds)

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National Institute of Information Technology (NIIT), Neemrana

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< Periodic Table and Periodicity Calculators

Frequency of characteristic X-ray

Go X ray Frequency = (Moseley Proportionality Constant^2)*((Atomic Number-Shielding Constant)^2)

Ionization energy given electronegativity

Go Ionization Energy = (Electronegativity*5.6)-Electron Affinity

Atomic radius given atomic volume

Go Atomic Radius = ((Atomic Volume*3)/(4*pi))^(1/3)

Atomic Volume

Go Atomic Volume = (4/3)*pi*(Atomic Radius^3)

Wavelength of characteristic X-ray Formula

Wavelength of X-ray = [c]/((Moseley Proportionality Constant^2)*((Atomic Number-Shielding Constant)^2))
λ_X-ray = [c]/((a^2)*((Z-b)^2))

What are characteristic X-rays?

The characteristic X-rays are emitted when an electron (in atom) makes a transition from a high energy state to a low energy state to fill the vacancy. For example, in Kα X-ray series, the electrons makes transition from the high energy state to the K shell of the atom. The frequency of characteristic X-rays is related to the atomic number of the target element by Moseley’s Law : √ν=a(Z−b) . The frequency of characteristic X-rays depends on the target material (it is independent of the accelerating potential).

How to Calculate Wavelength of characteristic X-ray?

Wavelength of characteristic X-ray calculator uses Wavelength of X-ray = [c]/((Moseley Proportionality Constant^2)*((Atomic Number-Shielding Constant)^2)) to calculate the Wavelength of X-ray, The Wavelength of characteristic X-ray formula is defined as the distance between two successive crests or troughs of X-Ray. Wavelength of X-ray is denoted by λ_X-ray symbol.

How to calculate Wavelength of characteristic X-ray using this online calculator? To use this online calculator for Wavelength of characteristic X-ray, enter Moseley Proportionality Constant (a), Atomic Number (Z) & Shielding Constant (b) and hit the calculate button. Here is how the Wavelength of characteristic X-ray calculation can be explained with given input values -> 6.2E+23 = [c]/((11^2)*((17-15)^2)).

FAQ

What is Wavelength of characteristic X-ray?

The Wavelength of characteristic X-ray formula is defined as the distance between two successive crests or troughs of X-Ray and is represented as λ_X-ray = [c]/((a^2)*((Z-b)^2)) or Wavelength of X-ray = [c]/((Moseley Proportionality Constant^2)*((Atomic Number-Shielding Constant)^2)). Moseley Proportionality Constant is the empirical constant given according to conditions to find the frequency of characteristics X-rays, Atomic Number is the number of protons present inside the nucleus of an atom of an element & The Shielding Constant is one of the empirical constants given according to conditions to find the frequency of characteristics of X-rays.

How to calculate Wavelength of characteristic X-ray?

The Wavelength of characteristic X-ray formula is defined as the distance between two successive crests or troughs of X-Ray is calculated using Wavelength of X-ray = [c]/((Moseley Proportionality Constant^2)*((Atomic Number-Shielding Constant)^2)). To calculate Wavelength of characteristic X-ray, you need Moseley Proportionality Constant (a), Atomic Number (Z) & Shielding Constant (b). With our tool, you need to enter the respective value for Moseley Proportionality Constant, Atomic Number & Shielding Constant 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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