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Born Exponent using Repulsive Interaction Formula

GoBorn Exponent using Born Lande Equation Formula

GoBorn Exponent using Born-Lande equation without Madelung Constant Formula

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The Born Exponent is a number between 5 and 12, determined experimentally by measuring the compressibility of the solid, or derived theoretically. Check FAQs

n born = \frac{\log 10 (\frac{B}{E R})}{\log 10} (r 0)

n_born - Born Exponent?B - Repulsive Interaction Constant?E_R - Repulsive Interaction?r₀ - Distance of Closest Approach?

Born Exponent using Repulsive Interaction Example

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Here is how the Born Exponent using Repulsive Interaction equation looks like with Values.

Here is how the Born Exponent using Repulsive Interaction equation looks like with Units.

Here is how the Born Exponent using Repulsive Interaction equation looks like.

0.9926 = \frac{\log 10 (\frac{40000}{5.8E+12})}{\log 10} (60)

0.9926 = \frac{\log 10 (\frac{40000}{5.8E+12J})}{\log 10} (60A)

0.9926 = \frac{\log 10 (\frac{40000}{5.8E+12})}{\log 10} (60)

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Born Exponent using Repulsive Interaction Solution

Follow our step by step solution on how to calculate Born Exponent using Repulsive Interaction?

FIRST Step Consider the formula

n born = \frac{\log 10 (\frac{B}{E R})}{\log 10} (r 0)

Next Step Substitute values of Variables

∴

n born = \frac{\log 10 (\frac{40000}{5.8E+12J})}{\log 10} (60A)

Next Step Convert Units

∴

n born = \frac{\log 10 (\frac{40000}{5.8E+12J})}{\log 10} (6E-9m)

Next Step Prepare to Evaluate

∴

n born = \frac{\log 10 (\frac{40000}{5.8E+12})}{\log 10} (6E-9)

Next Step Evaluate

∴

n born = 0.992643899295252

LAST Step Rounding Answer

∴

n born = 0.9926

Born Exponent using Repulsive Interaction Formula Elements

Variables

Functions

Born Exponent

The Born Exponent is a number between 5 and 12, determined experimentally by measuring the compressibility of the solid, or derived theoretically.

Symbol: n_born

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Born Exponent

Repulsive Interaction Constant

The Repulsive Interaction Constant is the constant scaling the strength of the repulsive interaction.

Symbol: B

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Repulsive Interaction Constant

Repulsive Interaction

The Repulsive Interaction is between atoms acts over a very short range, but is very large when distances are short.

Symbol: E_R

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Repulsive Interaction

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

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

Other Formulas to find Born Exponent

Go Born Exponent using Born Lande Equation

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

Go Born Exponent using Born-Lande equation without Madelung Constant

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

Other formulas in Lattice Energy category

Go Lattice Energy using Born Lande Equation

U = - \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 r 0}

Go Electrostatic Potential Energy between pair of Ions

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

Go Repulsive Interaction

E R = \frac{B}{{r 0}^{n born}}

Go Repulsive Interaction Constant

B = E R \cdot ({r 0}^{n born})

How to Evaluate Born Exponent using Repulsive Interaction?

Born Exponent using Repulsive Interaction evaluator uses Born Exponent = (log10(Repulsive Interaction Constant/Repulsive Interaction))/log10(Distance of Closest Approach) to evaluate the Born Exponent, The Born exponent using Repulsive Interaction is typically a number between 5 and 12, determined experimentally by measuring the compressibility of the solid, or derived theoretically. Born Exponent is denoted by n_born symbol.

How to evaluate Born Exponent using Repulsive Interaction using this online evaluator? To use this online evaluator for Born Exponent using Repulsive Interaction, enter Repulsive Interaction Constant (B), Repulsive Interaction (E_R) & Distance of Closest Approach (r₀) and hit the calculate button.

FAQs on Born Exponent using Repulsive Interaction

What is the formula to find Born Exponent using Repulsive Interaction?

The formula of Born Exponent using Repulsive Interaction is expressed as Born Exponent = (log10(Repulsive Interaction Constant/Repulsive Interaction))/log10(Distance of Closest Approach). Here is an example- 0.992644 = (log10(40000/5800000000000))/log10(6E-09).

How to calculate Born Exponent using Repulsive Interaction?

With Repulsive Interaction Constant (B), Repulsive Interaction (E_R) & Distance of Closest Approach (r₀) we can find Born Exponent using Repulsive Interaction using the formula - Born Exponent = (log10(Repulsive Interaction Constant/Repulsive Interaction))/log10(Distance of Closest Approach). This formula also uses Common Logarithm (log10) function(s).

What are the other ways to Calculate Born Exponent?

Here are the different ways to Calculate Born Exponent-

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

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Born Exponent using Repulsive Interaction Formula

​GoBorn Exponent using Born Lande Equation Formula

​GoBorn Exponent using Born-Lande equation without Madelung Constant Formula

Born Exponent using Repulsive Interaction Example

Born Exponent using Repulsive Interaction Solution

Born Exponent using Repulsive Interaction Formula Elements

Other Formulas to find Born Exponent

Other formulas in Lattice Energy category

How to Evaluate Born Exponent using Repulsive Interaction?

FAQs on Born Exponent using Repulsive Interaction

Variable Name

GoBorn Exponent using Born Lande Equation Formula

GoBorn Exponent using Born-Lande equation without Madelung Constant Formula