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Constant depending on compressibility using Born-Mayer equation Formula

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The Constant Depending on Compressibility is a constant dependent on the compressibility of the crystal, 30 pm works well for all alkali metal halides. Check FAQs

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

ρ - Constant Depending on Compressibility?U - Lattice Energy?r₀ - Distance of Closest Approach?M - Madelung Constant?z⁺ - Charge of Cation?z^- - Charge of Anion?[Permitivity-vacuum] - Permittivity of vacuum?[Avaga-no] - Avogadro’s number?[Charge-e] - Charge of electron?π - Archimedes' constant?

Constant depending on compressibility using Born-Mayer equation Example

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Here is how the Constant depending on compressibility using Born-Mayer equation equation looks like with Values.

Here is how the Constant depending on compressibility using Born-Mayer equation equation looks like with Units.

Here is how the Constant depending on compressibility using Born-Mayer equation equation looks like.

60.4443 = ((\frac{3500 \cdot 4 \cdot 3.1416 \cdot 8.9E-12 \cdot 60}{6E+23 \cdot 1.7 \cdot 4 \cdot 3 \cdot ({1.6E-19}^{2})}) + 1) \cdot 60

60.4443A = ((\frac{3500J/mol \cdot 4 \cdot 3.1416 \cdot 8.9E-12F/m \cdot 60A}{6E+23 \cdot 1.7 \cdot 4C \cdot 3C \cdot ({1.6E-19C}^{2})}) + 1) \cdot 60A

60.4443 = ((\frac{3500 \cdot 4 \cdot 3.1416 \cdot 8.9E-12 \cdot 60}{6E+23 \cdot 1.7 \cdot 4 \cdot 3 \cdot ({1.6E-19}^{2})}) + 1) \cdot 60

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Constant depending on compressibility using Born-Mayer equation Solution

Follow our step by step solution on how to calculate Constant depending on compressibility using Born-Mayer equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ρ = ((\frac{3500J/mol \cdot 4 \cdot π \cdot [Permitivity-vacuum] \cdot 60A}{[Avaga-no] \cdot 1.7 \cdot 4C \cdot 3C \cdot ({[Charge-e]}^{2})}) + 1) \cdot 60A

Next Step Substitute values of Constants

∴

ρ = ((\frac{3500J/mol \cdot 4 \cdot 3.1416 \cdot 8.9E-12F/m \cdot 60A}{6E+23 \cdot 1.7 \cdot 4C \cdot 3C \cdot ({1.6E-19C}^{2})}) + 1) \cdot 60A

Next Step Convert Units

∴

ρ = ((\frac{3500J/mol \cdot 4 \cdot 3.1416 \cdot 8.9E-12F/m \cdot 6E-9m}{6E+23 \cdot 1.7 \cdot 4C \cdot 3C \cdot ({1.6E-19C}^{2})}) + 1) \cdot 6E-9m

Next Step Prepare to Evaluate

∴

ρ = ((\frac{3500 \cdot 4 \cdot 3.1416 \cdot 8.9E-12 \cdot 6E-9}{6E+23 \cdot 1.7 \cdot 4 \cdot 3 \cdot ({1.6E-19}^{2})}) + 1) \cdot 6E-9

Next Step Evaluate

∴

ρ = 6.04443465679895E-09m

Next Step Convert to Output's Unit

∴

ρ = 60.4443465679895A

LAST Step Rounding Answer

∴

ρ = 60.4443A

Constant depending on compressibility using Born-Mayer equation Formula Elements

Variables

Constants

Constant Depending on Compressibility

The Constant Depending on Compressibility is a constant dependent on the compressibility of the crystal, 30 pm works well for all alkali metal halides.

Symbol: ρ

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Constant Depending on Compressibility

Lattice Energy

The Lattice Energy of a crystalline solid is a measure of the energy released when ions are combined to make a compound.

Symbol: U

Measurement: Molar EnthalpyUnit: J/mol

Note: Value can be positive or negative.

Formulas to find Lattice Energy

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

Madelung Constant

The Madelung constant is used in determining the electrostatic potential of a single ion in a crystal by approximating the ions by point charges.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Madelung Constant

Charge of Cation

The Charge of Cation is the positive charge over a cation with fewer electron than the respective atom.

Symbol: z⁺

Measurement: Electric ChargeUnit: C

Note: Value can be positive or negative.

Formulas to find Charge of Cation

Charge of Anion

The Charge of Anion is the negative charge over an anion with more electron than the respective atom.

Symbol: z^-

Measurement: Electric ChargeUnit: C

Note: Value can be positive or negative.

Formulas to find Charge of Anion

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

Avogadro’s number

Avogadro’s number represents the number of entities (atoms, molecules, ions, etc.) in one mole of a substance.

Symbol: [Avaga-no]

Value: 6.02214076E+23

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

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 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 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 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}}

How to Evaluate Constant depending on compressibility using Born-Mayer equation?

Constant depending on compressibility using Born-Mayer equation evaluator uses Constant Depending on Compressibility = (((Lattice Energy*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/([Avaga-no]*Madelung Constant*Charge of Cation*Charge of Anion*([Charge-e]^2)))+1)*Distance of Closest Approach to evaluate the Constant Depending on Compressibility, The Constant depending on compressibility using Born-Mayer equation is a constant dependent on the elasticity and structural stability of the crystal lattice; 30 pm works well for all alkali metal halides. Constant Depending on Compressibility is denoted by ρ symbol.

How to evaluate Constant depending on compressibility using Born-Mayer equation using this online evaluator? To use this online evaluator for Constant depending on compressibility using Born-Mayer equation, enter Lattice Energy (U), Distance of Closest Approach (r₀), Madelung Constant (M), Charge of Cation (z⁺) & Charge of Anion (z^-) and hit the calculate button.

FAQs on Constant depending on compressibility using Born-Mayer equation

What is the formula to find Constant depending on compressibility using Born-Mayer equation?

The formula of Constant depending on compressibility using Born-Mayer equation is expressed as Constant Depending on Compressibility = (((Lattice Energy*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/([Avaga-no]*Madelung Constant*Charge of Cation*Charge of Anion*([Charge-e]^2)))+1)*Distance of Closest Approach. Here is an example- 6E+11 = (((3500*4*pi*[Permitivity-vacuum]*6E-09)/([Avaga-no]*1.7*4*3*([Charge-e]^2)))+1)*6E-09.

How to calculate Constant depending on compressibility using Born-Mayer equation?

With Lattice Energy (U), Distance of Closest Approach (r₀), Madelung Constant (M), Charge of Cation (z⁺) & Charge of Anion (z^-) we can find Constant depending on compressibility using Born-Mayer equation using the formula - Constant Depending on Compressibility = (((Lattice Energy*4*pi*[Permitivity-vacuum]*Distance of Closest Approach)/([Avaga-no]*Madelung Constant*Charge of Cation*Charge of Anion*([Charge-e]^2)))+1)*Distance of Closest Approach. This formula also uses Permittivity of vacuum, Avogadro’s number, Charge of electron, Archimedes' constant .

Can the Constant depending on compressibility using Born-Mayer equation be negative?

Yes, the Constant depending on compressibility using Born-Mayer equation, measured in Length can be negative.

Which unit is used to measure Constant depending on compressibility using Born-Mayer equation?

Constant depending on compressibility using Born-Mayer equation is usually measured using the Angstrom[A] for Length. Meter[A], Millimeter[A], Kilometer[A] are the few other units in which Constant depending on compressibility using Born-Mayer equation can be measured.

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Constant depending on compressibility using Born-Mayer equation Formula

Constant depending on compressibility using Born-Mayer equation Example

Constant depending on compressibility using Born-Mayer equation Solution

Constant depending on compressibility using Born-Mayer equation Formula Elements

Other formulas in Lattice Energy category

How to Evaluate Constant depending on compressibility using Born-Mayer equation?

FAQs on Constant depending on compressibility using Born-Mayer equation

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