Number of Lines Generated Calculator

✖Number of Equivalent Nuclei is the no. of chemically and magnetically equivalent or similar nuclei.ⓘ Number of Equivalent Nuclei [N_nuclei]			+10% -10%
✖Spin Value is the spin of the interacting nuclei.ⓘ Spin Value [I]			+10% -10%

✖Number of Lines Generated is the no. of spectral lines obtained due to coupling of electron to a single nucleus with spin n/2 .ⓘ Number of Lines Generated [N_lines]

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Formula

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Number of Lines Generated

Formula

`"N"_{"lines"} = (2*"N"_{"nuclei"}*"I")+1`

Example

`"113"=(2*"14"*"4")+1`

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Number of Lines Generated Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Lines Generated = (2*Number of Equivalent Nuclei*Spin Value)+1
N_lines = (2*N_nuclei*I)+1
This formula uses 3 Variables

Variables Used

Number of Lines Generated - Number of Lines Generated is the no. of spectral lines obtained due to coupling of electron to a single nucleus with spin n/2 .
Number of Equivalent Nuclei - Number of Equivalent Nuclei is the no. of chemically and magnetically equivalent or similar nuclei.
Spin Value - Spin Value is the spin of the interacting nuclei.

STEP 1: Convert Input(s) to Base Unit

Number of Equivalent Nuclei: 14 --> No Conversion Required
Spin Value: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_lines = (2*N_nuclei*I)+1 --> (2*14*4)+1

Evaluating ... ...

N_lines = 113

STEP 3: Convert Result to Output's Unit

113 --> No Conversion Required

FINAL ANSWER

113 <-- Number of Lines Generated

(Calculation completed in 00.004 seconds)

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< 9 EPR Spectroscopy Calculators

Lande g Factor in Electron Paramagnetic Resonance

Go Lande g Factor = 1.5-((Orbital Quantum Number*(Orbital Quantum Number+1))-(Spin Quantum Number*(Spin Quantum Number+1)))/(2*Total Angular Momentum Quantum No*(Total Angular Momentum Quantum No+1))

No. of Particles in Upper State using Boltzmann Distribution

Go Upper State Particles = Lower State Particles*e^((Lande g Factor*Bohr Magneton*External Magnetic Field Strength)/[Molar-g])

Electron Paramagnetic Resonance Frequency

Go Electron Paramagnetic Resonance Frequency = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength)/[hP]

External Magnetic Field Strength

Go External Magnetic Field Strength = (sqrt(Spin Quantum Number*(Spin Quantum Number+1)))*([hP]/(2*3.14))

Energy Difference between Two Spin States

Go Energy Difference between Spin States = (Lande g Factor*Bohr Magneton*External Magnetic Field Strength)

Energy of Negative Spin State

Go Energy of Negative Spin State = -(1/2*(Lande g Factor*Bohr Magneton*External Magnetic Field Strength))

Applied Magnetic Field using External Field

Go External applied Magnetic Field = External Magnetic Field Strength*(1-Local Fields)

Number of Lines Generated

Go Number of Lines Generated = (2*Number of Equivalent Nuclei*Spin Value)+1

Lines Generated for Spin Half

Go Lines Generated for Spin Half = 1+Number of Equivalent Nuclei

Number of Lines Generated Formula

Number of Lines Generated = (2*Number of Equivalent Nuclei*Spin Value)+1
N_lines = (2*N_nuclei*I)+1

What is Pascal's Pyramid?

Pascal's pyramid is the three-dimensional analog of the two-dimensional Pascal's triangle, which contains the binomial numbers and relates to the binomial expansion and the binomial distribution.

How to Calculate Number of Lines Generated?

Number of Lines Generated calculator uses Number of Lines Generated = (2*Number of Equivalent Nuclei*Spin Value)+1 to calculate the Number of Lines Generated, Number of Lines Generated is the no. of spectral lines obtained due to coupling of electron to a single nucleus with spin n/2 . It follows pascal's pyramid. Number of Lines Generated is denoted by N_lines symbol.

How to calculate Number of Lines Generated using this online calculator? To use this online calculator for Number of Lines Generated, enter Number of Equivalent Nuclei (N_nuclei) & Spin Value (I) and hit the calculate button. Here is how the Number of Lines Generated calculation can be explained with given input values -> 113 = (2*14*4)+1.

FAQ

What is Number of Lines Generated?

Number of Lines Generated is the no. of spectral lines obtained due to coupling of electron to a single nucleus with spin n/2 . It follows pascal's pyramid and is represented as N_lines = (2*N_nuclei*I)+1 or Number of Lines Generated = (2*Number of Equivalent Nuclei*Spin Value)+1. Number of Equivalent Nuclei is the no. of chemically and magnetically equivalent or similar nuclei & Spin Value is the spin of the interacting nuclei.

How to calculate Number of Lines Generated?

Number of Lines Generated is the no. of spectral lines obtained due to coupling of electron to a single nucleus with spin n/2 . It follows pascal's pyramid is calculated using Number of Lines Generated = (2*Number of Equivalent Nuclei*Spin Value)+1. To calculate Number of Lines Generated, you need Number of Equivalent Nuclei (N_nuclei) & Spin Value (I). With our tool, you need to enter the respective value for Number of Equivalent Nuclei & Spin Value 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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