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Distance of Closest Approach using Electrostatic Potential Formula

GoDistance of Closest Approach using Born Lande equation Formula

GoDistance of Closest Approach using Born-Lande Equation without Madelung Constant Formula

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Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus. Check FAQs

r 0 = \frac{- (q^{2}) \cdot ({[Charge-e]}^{2})}{4 \cdot π \cdot [Permitivity-vacuum] \cdot E Pair}

r₀ - Distance of Closest Approach?q - Charge?E_Pair - Electrostatic Potential Energy between Ion Pair?[Charge-e] - Charge of electron?[Permitivity-vacuum] - Permittivity of vacuum?π - Archimedes' constant?

Distance of Closest Approach using Electrostatic Potential Example

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Here is how the Distance of Closest Approach using Electrostatic Potential equation looks like with Values.

Here is how the Distance of Closest Approach using Electrostatic Potential equation looks like with Units.

Here is how the Distance of Closest Approach using Electrostatic Potential equation looks like.

59.3529 = \frac{- ({0.3}^{2}) \cdot ({1.6E-19}^{2})}{4 \cdot 3.1416 \cdot 8.9E-12 \cdot -3.5E-21}

59.3529A = \frac{- ({0.3C}^{2}) \cdot ({1.6E-19C}^{2})}{4 \cdot 3.1416 \cdot 8.9E-12F/m \cdot -3.5E-21J}

59.3529 = \frac{- ({0.3}^{2}) \cdot ({1.6E-19}^{2})}{4 \cdot 3.1416 \cdot 8.9E-12 \cdot -3.5E-21}

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Distance of Closest Approach using Electrostatic Potential Solution

Follow our step by step solution on how to calculate Distance of Closest Approach using Electrostatic Potential?

FIRST Step Consider the formula

r 0 = \frac{- (q^{2}) \cdot ({[Charge-e]}^{2})}{4 \cdot π \cdot [Permitivity-vacuum] \cdot E Pair}

Next Step Substitute values of Variables

∴

r 0 = \frac{- ({0.3C}^{2}) \cdot ({[Charge-e]}^{2})}{4 \cdot π \cdot [Permitivity-vacuum] \cdot -3.5E-21J}

Next Step Substitute values of Constants

∴

r 0 = \frac{- ({0.3C}^{2}) \cdot ({1.6E-19C}^{2})}{4 \cdot 3.1416 \cdot 8.9E-12F/m \cdot -3.5E-21J}

Next Step Prepare to Evaluate

∴

r 0 = \frac{- ({0.3}^{2}) \cdot ({1.6E-19}^{2})}{4 \cdot 3.1416 \cdot 8.9E-12 \cdot -3.5E-21}

Next Step Evaluate

∴

r 0 = 5.93529227800579E-09m

Next Step Convert to Output's Unit

∴

r 0 = 59.3529227800579A

LAST Step Rounding Answer

∴

r 0 = 59.3529A

Distance of Closest Approach using Electrostatic Potential Formula Elements

Variables

Constants

Distance of Closest Approach

Distance of Closest Approach is the distance to which an alpha particle comes closer to the nucleus.

Symbol: r₀

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Distance of Closest Approach

Charge

A Charge is the fundamental property of forms of matter that exhibit electrostatic attraction or repulsion in the presence of other matter.

Symbol: q

Measurement: Electric ChargeUnit: C

Note: Value can be positive or negative.

Formulas to find Charge

Electrostatic Potential Energy between Ion Pair

The Electrostatic Potential Energy between Ion Pair is the electrostatic potential energy between a pair of ions of equal and opposite charge.

Symbol: E_Pair

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Electrostatic Potential Energy between Ion Pair

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Permittivity of vacuum

Permittivity of vacuum is a fundamental physical constant that describes the ability of a vacuum to permit the transmission of electric field lines.

Symbol: [Permitivity-vacuum]

Value: 8.85E-12 F/m

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Distance of Closest Approach

Go Distance of Closest Approach using Born Lande equation

r 0 = - \frac{[Avaga-no] \cdot M \cdot z + \cdot z - \cdot ({[Charge-e]}^{2}) \cdot (1 - (\frac{1}{n born}))}{4 \cdot π \cdot [Permitivity-vacuum] \cdot U}

Go Distance of Closest Approach using Born-Lande Equation without Madelung Constant

r 0 = - \frac{[Avaga-no] \cdot N ions \cdot 0.88 \cdot z + \cdot z - \cdot ({[Charge-e]}^{2}) \cdot (1 - (\frac{1}{n born}))}{4 \cdot π \cdot [Permitivity-vacuum] \cdot U}

Go Distance of Closest Approach using Madelung Energy

r 0 = - \frac{M \cdot (q^{2}) \cdot ({[Charge-e]}^{2})}{4 \cdot π \cdot [Permitivity-vacuum] \cdot E M}

How to Evaluate Distance of Closest Approach using Electrostatic Potential?

Distance of Closest Approach using Electrostatic Potential evaluator uses Distance of Closest Approach = (-(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Electrostatic Potential Energy between Ion Pair) to evaluate the Distance of Closest Approach, The Distance of closest approach using Electrostatic potential is the distance separating the ion centers in a lattice. Distance of Closest Approach is denoted by r₀ symbol.

How to evaluate Distance of Closest Approach using Electrostatic Potential using this online evaluator? To use this online evaluator for Distance of Closest Approach using Electrostatic Potential, enter Charge (q) & Electrostatic Potential Energy between Ion Pair (E_Pair) and hit the calculate button.

FAQs on Distance of Closest Approach using Electrostatic Potential

What is the formula to find Distance of Closest Approach using Electrostatic Potential?

The formula of Distance of Closest Approach using Electrostatic Potential is expressed as Distance of Closest Approach = (-(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Electrostatic Potential Energy between Ion Pair). Here is an example- 5.9E+11 = (-(0.3^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*(-3.5E-21)).

How to calculate Distance of Closest Approach using Electrostatic Potential?

With Charge (q) & Electrostatic Potential Energy between Ion Pair (E_Pair) we can find Distance of Closest Approach using Electrostatic Potential using the formula - Distance of Closest Approach = (-(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Electrostatic Potential Energy between Ion Pair). This formula also uses Charge of electron, Permittivity of vacuum, Archimedes' constant .

What are the other ways to Calculate Distance of Closest Approach?

Here are the different ways to Calculate Distance of Closest Approach-

Distance of Closest Approach=-([Avaga-no]*Madelung Constant*Charge of Cation*Charge of Anion*([Charge-e]^2)*(1-(1/Born Exponent)))/(4*pi*[Permitivity-vacuum]*Lattice Energy)
Distance of Closest Approach=-([Avaga-no]*Number of Ions*0.88*Charge of Cation*Charge of Anion*([Charge-e]^2)*(1-(1/Born Exponent)))/(4*pi*[Permitivity-vacuum]*Lattice Energy)
Distance of Closest Approach=-(Madelung Constant*(Charge^2)*([Charge-e]^2))/(4*pi*[Permitivity-vacuum]*Madelung Energy)

Can the Distance of Closest Approach using Electrostatic Potential be negative?

Yes, the Distance of Closest Approach using Electrostatic Potential, measured in Length can be negative.

Which unit is used to measure Distance of Closest Approach using Electrostatic Potential?

Distance of Closest Approach using Electrostatic Potential is usually measured using the Angstrom[A] for Length. Meter[A], Millimeter[A], Kilometer[A] are the few other units in which Distance of Closest Approach using Electrostatic Potential can be measured.

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Distance of Closest Approach using Electrostatic Potential Formula

​GoDistance of Closest Approach using Born Lande equation Formula

​GoDistance of Closest Approach using Born-Lande Equation without Madelung Constant Formula

Distance of Closest Approach using Electrostatic Potential Example

Distance of Closest Approach using Electrostatic Potential Solution

Distance of Closest Approach using Electrostatic Potential Formula Elements

Other Formulas to find Distance of Closest Approach

How to Evaluate Distance of Closest Approach using Electrostatic Potential?

FAQs on Distance of Closest Approach using Electrostatic Potential

Variable Name

GoDistance of Closest Approach using Born Lande equation Formula

GoDistance of Closest Approach using Born-Lande Equation without Madelung Constant Formula